diff --git "a/data/dm_maths/full_data_2/1332_11255.jsonl" "b/data/dm_maths/full_data_2/1332_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1332_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the remainder when 1845 is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6*w**3 - 6*w - 4. Let g(q) = 5*q**3 + q**2 - 5*q - 4. Let k(u) = 7*g(u) - 6*t(u). What is the units digit of k(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1091 * 0.115\nAnswer: -125.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 333700.7 microseconds?\nAnswer: 333700700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g - 7. Let b be d(3). Suppose 0 = -4*c + 5*o + 291, 3*c - b*c - 81 = 4*o. Calculate the common denominator of 39\/16 and -4 + 4 + c\/(-22).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) -0.2 (b) 19722 (c) -2 (d) 80\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07791117 rounded to 5 decimal places?\nAnswer: 0.07791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2319 = 3*j - 6657. What are the prime factors of j?\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9aa3 - 5593?\nAnswer: 4510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/3))**(-1\/5)*((t*t*t*t**11*t)\/t)\/(t*t**(-3\/5)\/t*t))**(-37\/3) assuming t is positive.\nAnswer: t**(-7622\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 4:56 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 236322, 945293, 2126912, 3781179, 5908094, 8507657?\nAnswer: 11579868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/269 + 380\/21251. Which is smaller: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p**2 - 1805*p + 360 = 0. What is p?\nAnswer: 1\/5, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 133*h + 270 wrt h?\nAnswer: 133","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9992298 and -34282226?\nAnswer: 24289928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3113*a + 687976. Calculate f(221).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 394*h**3 - 2332*h**2 wrt h?\nAnswer: 2364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 3433*w**6\/6 - 901*w**2\/2 + 867. Find the second derivative of m(y) wrt y.\nAnswer: 68660*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1100?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 12300000 to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 + -14 - -10) + 5 + 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1302341 (base 6) to base 7.\nAnswer: -412453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 106491 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*j**2 - 38*j + 101*j - 103*j**2 - 63*j.\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 2:50 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 2. Let r be 135\/(-60)*16\/(-6). Let y(w) = 6*w**2 + w. What is the remainder when j(r) is divided by y(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.22 - 0.22. What is the nearest to -0.2 in 0.1, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/11)\/(m*m**11))**38\/((m\/m**0)**41\/((m\/((m**2*m*m)\/m))\/(m\/(m*m**(-4)*m*m)))) assuming m is positive.\nAnswer: m**(-5473\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98)*1 + 4 - (0 + sqrt(98) + (sqrt(98)*2)**2).\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5.6*48\nAnswer: -268.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -46234 (base 7) in base 10?\nAnswer: -11785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - n + 161 - 53 = 0, 5*n = 4*i - 405. Suppose -3*r - 2*r + i = 0. Let q be -7 + 4 - (-60)\/r. What is the smallest value in q, 2, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 25 = 5*s, -y = -2*y + 2*s + 10. Suppose -i + 1 - 2 = 0, y = -2*r - 3*i + 19. Let q(o) = -o**3 + 11*o**2 - o + 6. Calculate q(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.566 - 3.565998284. What is a rounded to 7 decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 2*k. Suppose 3*t - 13 + 4 = k. Suppose 5*r - 3*o = 36, -2*o - 3 = -3*r + 2*r. Solve t*u + r = -0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/504 - (88\/(-14) - -6)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -23*q + 2. Suppose 3*m - 15 = q, 3*m - 8*m = -d + 93. Is 36 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20132012 (base 4) to base 16\nAnswer: -8786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4252739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -661, -394, 57, 698, 1535?\n\"Answer: l**3 + 86*l**2 + 2*l - 750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/20 and -101\/110.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 i when three letters picked without replacement from uluiujjilujiuiu.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -163 - (1573 + -1647 - (-45 - 0))?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2 - 4)*(2*f + f - 2*f + (-1 - 68 - 12)*(0*f - f + 3*f)) to the form y + t*f and give t.\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgy. What is prob of picking 1 y and 1 x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-6)\/(-2))*12987\/333?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10 - -8)*(-2)\/(-4). Let f be (1 - n) + -2 - -3. Suppose 3*q**f + 5*q**4 + 4*q**5 - q**5 + q**4 = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 2*b**2. Let n be (1\/2)\/(1\/8). Let c be t(n). Solve 3*k = -4*i + c - 6, 0 = 2*i - k - 8 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7*(3 + -2) - 2. Suppose k = -5*m + 6*m. Suppose -t - m = -17. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -166*x - 1. Let y be m(1). Let l(f) = -2*f**2 - 2*f - 80. Let u be l(0). Let v = u - y. List the prime factors of v.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.016 + 0.02. Round n to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 15 = 1. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -1\/120*j**6 + 0*j + 0 - 1\/12*j**5 - 5\/24*j**4 - 7\/6*j**3 - 3*j**2. What is the tens digit of w(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*y = 1465, 0 = -2*d + 4*y + 759 - 59. Suppose 3*l + l = d. Suppose l = 5*f - 0*f. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 4:06 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 3*t + 1. Let y(w) = w**2 + 18*w + 19. Let h be y(-17). Let j(k) = -18*k + 5 - k**h - 1 + 3 + 20*k. Let r be j(3). Calculate s(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -21 + 8 + 220*j - 23. What is the hundreds digit of b(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -98727105?\nAnswer: -493635525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117813?\nAnswer: 3, 173, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*p*q**3*x + p*q**3 - p*q**2 + p*q*x - 164*q**3 + 45*q**2*x + 5 wrt x.\nAnswer: -12*p*q**3 + p*q + 45*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 5*x - x)*(2 - 2 + 2) + 3*x - x + x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-154) + 208323\/(-1738) + 71\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -10677283?\nAnswer: 10677282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.248 times -7?\nAnswer: -155.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6306632 divided by -82982\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**2 - f + 2. Let g(a) = -a**2 + 1. Calculate -4*g(l) + 2*s(l).\nAnswer: -2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -51 + 51 - 12*d + (-3*d - 2*d + 7*d)*(4 + 0 - 6) + 0*d - 3*d + 0*d in the form i*d + g and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00020833 rounded to five dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aantutauaatanantntu. What is prob of picking 1 n and 3 u?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 14) in base 12?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -35 + 26 - 12*s + 4*s + 17. Let w be a(1). Solve 4*n = -20, w = -2*h - 5*n - 20 - 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -510 = 3*t - 3*d, 4*t + 3*d = 211 - 891. Let g be (-48)\/(-64)*t\/3. Let l = -44 - g. Which is the closest to -0.1? (a) l (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, v: 1, g: 1, b: 1, h: 1, e: 2}. Give prob of sequence tgt.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179 + 186 = -u - 2*b, 2*b - 38 = 8*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+124.956\nAnswer: 125.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + -12. Let y = -18.9 - k. What is the nearest to 1 in y, 1, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*d + 9729 - 4300 = 0 for d.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 841 + -840.88. What is the nearest to x in 1, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -175e83 (base 16) to base 6\nAnswer: -52454215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-84)\/(-15) + -6 + (-5334)\/15. Let s = 241 + i. Are -115 and s equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1474 + -1474.1. Which is the closest to -1.1? (a) q (b) -0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97876 is divided by 31147?\nAnswer: 4435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 6:12 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7683, -14279, -20875?\nAnswer: -27471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 121568 (base 11) to base 6\nAnswer: 4042251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -359 (b) -166 (c) 11 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 4*k**2 - 5*k + 1. Let q be w(2). Let g(b) = 3*b**2 - b - 1. Let x be g(q). Solve -2 = x*s + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3250 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: Suppose -5*d + 2*d - 33 = 0. Let m be d\/2 + (-12)\/24. Which is smaller: m or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-39)\/(117\/9)*164\/(-2). Solve -12*s - 29*s = -a for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i - i + 5*i - 4 + i**4 - 2*i in the form l*i**3 + m + b*i + o*i**2 + p*i**4 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 23*s**2 - 6*s + 6. Let l(v) = -24*v**2 + 7*v - 7. Let r(c) = 7*a(c) + 6*l(c). Let t(j) = -4*j**2. Give r(t(q)).\nAnswer: 272*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 756315 (base 8) to base 2\nAnswer: 111101110011001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**5 - d**5 + 2*d**5 - 2*d**5 + 3*d**5 - 2*d**5 + (-d + d + d**4)*(0*d - 4*d + 6*d) + (104 - 4 - 66)*(-5*d**4 + 5*d**4 - 7*d**5).\nAnswer: -236*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/((-4)\/18) - (-4 + 9))*-12. Let q(w) = -7*w**2 + 5*w + 13. Let s(l) = -l**2 + 1. Let c(a) = -q(a) + 6*s(a). Determine c(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.928 + -1. Let t = u + -11.928. Which is the closest to -0.2? (a) 0.2 (b) -1\/2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - 16. Is w a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(-1)\/(2\/(-10)). Let v = 27 + c. Let r be 6\/4*v\/24. Let t(m) = 3*m**2 + 2*m + 1. Calculate t(r).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-600)\/(-36) + 3*1 - (-6)\/(-9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13305105 - 0?\nAnswer: 13305105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*l - 108 = -15. Let y be (4\/(-25))\/((-44)\/110). Which is the third smallest value? (a) y (b) -0.3 (c) l (d) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -987, -965, -955, -963, -995, -1057, -1155, -1295?\nAnswer: -1483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 8:45 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-6)*(-33)\/22.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -141 + 144. Suppose 3*l - 5*l = 4*g - 8, -s*l = 5*g - 17. Solve 23 = -3*f + l for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**4\/30 + 26*r**3\/5 - 112*r**2 - 406*r - 1. Factor g(v).\nAnswer: -2*(v - 70)*(v - 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -15*x - 2. Let u be (-1)\/(-1 + (-9)\/(-12)). Suppose 0 = -u*w - 6 + 2. Let y be b(w). What is the highest common divisor of y and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 - 10 = -3*r. What is the remainder when r is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, y: 2, k: 2, s: 2}. Give prob of picking 2 k and 2 y.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*i**3 - 771*i + 772*i + 13*i**3 + 327 - 12*i**3 in the form j + n*i + z*i**3 + k*i**2 and give j.\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 - 18 = 4*k. Let g = 2 + k. List the prime factors of 0 + g + (2 - -1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 261.\nAnswer: 2871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1846792020 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 920609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mw when two letters picked without replacement from mmmwmmmm?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*((-124)\/8 + 0). Suppose f = -5*j + 31. What is the second derivative of 2*m + 3*m**5 + 5*m + j*m - 17*m**5 wrt m?\nAnswer: -280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02777338 rounded to four dps?\nAnswer: 0.0278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 7 + 10 + 11 - 32 + 11 - 4*i. Let j(y) = 3*y - 6. Calculate 5*j(r) + 4*q(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11243720*w**2 - 90967*w + 115 wrt w.\nAnswer: 22487440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**3 - 48*b**2 + 104*b - 2. Let v be f(-26). Let j(g) = -5*g + 5*g + 5*g**2 + 1 - 2*g**2 + 2*g + g**3. What is j(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -5*d**4\/4 - 158*d**3\/3 - 608*d**2 + 512*d - 59. Factor c(f).\nAnswer: -(f + 16)**2*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + -0.1. Let d = -1515 - -1514. Let m = 6.6 - 7. What is the third biggest value in m, d, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 h when two letters picked without replacement from kznhv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 87 + -89. Which is the third smallest value? (a) 3\/5 (b) -7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*j**4 + 1365*j**3 - 37818*j**2 + 448668*j - 1884696.\nAnswer: -3*(j - 22)**3*(6*j - 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/9, 3\/14, -1\/12, 0.2, 4?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 66 times -7545.5\nAnswer: -498003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -832 - -832.3. What is the nearest to -402 in -0.2, -1\/2, w?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 5587?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c - 27. Let p(n) = -111*n - 2. Give x(p(z)).\nAnswer: -444*z - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 4\/(0 - 1) + 4. Solve 5*v - 4*w = 29, -n*w - 8 = 4*v - 5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 2*v + 112, 0 = -3*h + 4*v - v + 84. Which is greater: h or 27?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/3 and 48\/20417.\nAnswer: 61251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 170, -131.\nAnswer: -131, 1, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.355, 6.5, 3, -2\/11, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**3*v*v*v*((v**(-1\/3)\/v)\/v*v)\/v)\/(v*v*v*v*v*v**3*v*((v\/(v\/(v\/(v*v**5)))*v)\/v)\/v) assuming v is positive.\nAnswer: v**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*(-165)\/594 - (9 + (-438)\/96).\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.85 - 3.79. What is the nearest to 1 in 18, -3\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102450 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -3. Suppose -7*y = -m*y + 3*h - 113, 0 = 3*y + h - 81. Let p = 22 + y. What is the highest common factor of 24 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1240\/840 + 1\/(-2) + (-117)\/126?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - l**2 - 5. Let v be s(0). Let w be v\/(((-1)\/3)\/1). Suppose -5*p + 23 = -h, 2*h - 2*p = 1 - w. Put 5, h, -4 in decreasing order.\nAnswer: 5, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1113336850 to the nearest integer?\nAnswer: 33367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 103727400989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1045*m**2 + 99235*m - 1037500.\nAnswer: -5*(m - 83)*(209*m - 2500)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 3 - 6 - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 21. Let x = 33 - 26. Let y = x - i. What is the nearest to -2 in 0.3, -2\/9, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**3 - 11*a**2 - 158*a + 158. Calculate d(-7).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 155293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7841232 = 255*d - 3430533. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 98 = -4*t + b, -t = 5*b - 38. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.23 - -5.2299494. Round m to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -5*q - 11, h + 0*q + 10 = -4*q. Suppose 2*p - 17 = -4*a - a, 4*p = -h*a + 42. Calculate the remainder when 62 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 141*y - 2. Let s be (-6 - -12)\/(3 + 1\/(-1)). Suppose 0 - 3 = -s*p - 5*t, p + 2*t - 1 = 0. What are the prime factors of k(p)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 99 - (-1 - -1). Let v = -697\/7 + m. Which is the smallest value? (a) -5 (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((1*sqrt(190) - sqrt(190)) + sqrt(190) + sqrt(190))\/sqrt(10) + sqrt(19) + -3 + sqrt(19) + sqrt(19) + -4)**2 + 2.\nAnswer: -2618 + 350*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 7. Let u = z + -11. Calculate the least common multiple of 2 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 11*g**2 + 4*g - 8. Let r be o(-7). Calculate the greatest common factor of r and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 3*z - z)*(-826 - 323*z + 2*z**4 + 428 + 397).\nAnswer: 2*z**5 - 323*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 - 77*y - 715. Give k(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 28*u + 84. Let o be h(-25). Which is the biggest value? (a) o (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 8. Let m be (-24)\/(-2)*5\/s. Let q = m - 4. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 1 (c) -6\/5 (d) -2 (e) 53\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a7aa (base 13) in base 5?\nAnswer: -11441401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*g**2 - 6469 + 6469.\nAnswer: 22*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1332204 - -1?\nAnswer: -1332203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112 + -122 - (-90 + 17)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**5\/7 - 4*w**4 - 31*w**3\/7 + 58*w**2\/7 = 0.\nAnswer: -2, 0, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*1)\/((3\/(-20))\/(3\/(-2))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 27, 13, -17, -69, -149, -263, -417?\nAnswer: -617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**3 - o**2 - o + 2. Let n be p(4). Let l = -107 + n. Let x = l - 26. Does 15 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3234 - 2248 + 1322)*(4*l + 5*l - 5*l)*(-4*l + 2*l + l).\nAnswer: 16640*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -88.43 - -88.83. What is the second biggest value in 1085, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 0.1 (b) 136 (c) 24 (d) 2\/7 (e) 3.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 44*k**2 + 12*k + 234. Let n be t(-45). What is n rounded to the nearest one thousand?\nAnswer: 89000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -12*x. Let w(z) = z**3 + 4*z**2 - 5*z + 1. Let m be w(-5). Let q be b(m). What is the common denominator of 6*(-3)\/(-112)*q and 93\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - u. Let d(k) = 14*k**3 + 3*k**2 + 2*k + 4. Let w(b) = d(b) + 4*x(b). What is the units digit of w(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 9:37 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81385, -81386, -81389, -81394, -81401?\nAnswer: -81410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28550 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*73.1\nAnswer: -29.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 281426954*k**3 + 523*k**2 - 195160?\nAnswer: 1688561724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -b + 3*x, -2*b - 5*x + 6 = b. Suppose z = 4*u - z - 70, -b*u = -2*z - 40. What is the remainder when 89 is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 13*o - 3. Suppose 0 = -3*q - 2*z + 634, -2*z = -11 + 1. Let b = q + -195. What is s(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 2*o**2 + 4*o + 3. Let t be (-1)\/(-2)*688\/(16 + -8). Let l = 45 - t. Let h be ((-4)\/(-3))\/(l\/(-12)*-2). Give q(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*g + 78, 2*j - 2*g + 7*g = 78. Is j a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4492*y - 4398*y + 658 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*v - 150, -32*y + 28*y - 594 = 2*v. Is y less than or equal to -149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2 - 14*h - 1. Let o be s(-7). Is o equal to -4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 5*n**2 + 1890*n + 178605 = 0.\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - l)*(-13*l**3 - 11*l**3 + 9*l**3) + 3*l**4 - 2*l**4 - 7*l**4.\nAnswer: 9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -9.3. Let o = 6 - 5.6. Let s = 1\/67 + 63\/268. Which is the nearest to s? (a) z (b) 1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 0 - 6*v**2 + 0*v**3 - 1\/945*v**7 + 1\/270*v**5 + 1\/1080*v**6 + 0*v - 1\/216*v**4. Find j, given that z(j) = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(12\/8) + -1 + -5. Put -3, c, -2, 5 in descending order.\nAnswer: 5, -2, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467588280 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*o - 2*z - 196 = 0, -3*o + 83*z - 4 = 84*z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3096 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30.1 - 30.2. Sort 1, 2\/7, h, 4 in increasing order.\nAnswer: h, 2\/7, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*l*r**3 - 633*l*r + 17443*l - 2*r**3 - r wrt r?\nAnswer: 9*l*r**2 - 633*l - 6*r**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 87?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9a0581 (base 11) in base 13?\nAnswer: 43b917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -967*j**6 - 2721*j**2 + 2*j.\nAnswer: -116040*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342164 is divided by 1056?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 265832 and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -70 + 64 - (-3)\/((-3)\/8). Let f(g) = -g**3 - 13*g**2 + 13*g - 9. What is f(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + (9 - 0 - 30) + -16.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 137 = 5*w, 0 = 5*w - 3*y + 190 - 322. Calculate the remainder when 100 is divided by w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 37*w + 32. Let q(x) be the third derivative of 1\/30*x**6 + 0*x + 4\/3*x**3 - 12*x**2 + 0 - 5\/6*x**w - 2\/105*x**7 + 1\/5*x**5. Factor q(j).\nAnswer: -4*(j - 1)**3*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*c + 304*c - 546*c.\nAnswer: -37*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-5)\/20 + 530\/(-72) and 139\/198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9971 and 888953.\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20210211020 (base 3) to base 5.\nAnswer: -13242012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404016065?\nAnswer: 5, 80803213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 7*z + 7. Let v be (-4 + 54\/12)*14. Give j(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5*z**(4\/5)*(z\/(z*(z*z**(1\/2)*z)\/z))\/(z\/(z*z**(-3\/10))))\/((z**(-2\/7))**(-38)\/(z**9*(z**(-3)\/z)\/z)) assuming z is positive.\nAnswer: z**(-20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9718 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -65 less than -5108\/77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 112 = -2*r + 9, 5*r = 3*v - 307. Let p = v - -7. Suppose -3*x - 28 = -p. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.02, -1\/3, -3.96, 0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(-4) + -3)\/((204006\/616)\/33 + -10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1633093 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4478098663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 7505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -431*x + 218*x + 140 + 211*x to the form o + t*x and give o.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4758374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48.4 + 50. Let l = -4.6 + u. Put -3\/4, 3, l, -4 in decreasing order.\nAnswer: 3, -3\/4, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -6*r - 20, -3*t + 3*r + 60 = 0. Let h(u) = -15 + 5*u**2 - 21*u**2 + t. Let c(g) = -2*g**2. Give h(c(n)).\nAnswer: -64*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 0 - (8 - 8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3014 divided by 274.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 103*b + 219. What is t(8)?\nAnswer: 1043","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w*w**(-9)\/w)*w)*w)**25\/(((w\/w**12*w)\/w)\/w**11) assuming w is positive.\nAnswer: w**(-203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) 0.9 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*o + 24*o + 10 = 4*t, 20 = -t - 4*o for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 74 = 4*l, q + 3*q = 5*l + 136. Suppose 2*c - 126 + 121 = -a, a - 5*c + 2 = 0. Sort a, q, 4 in increasing order.\nAnswer: a, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -201*s**2*w**3 - 186*s**2*w**2 - 2 wrt w?\nAnswer: -1206*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 59*o - 4709. Let v be m(80). Solve -4*s - v*s - 6*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54790 is divided by 195?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + -33 + 30 + 39?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -130?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (0 - (6 - 9 - 0)) - 8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 959 = 20*i + 359. Solve 0 = 11*h - h + i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -223 (b) 4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = -3*g - 5*a + 95, -3*g = 2*a - 34 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 837419901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, r: 2, w: 1, k: 6, i: 6, m: 1}. Give prob of sequence rr.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 2*f - 237, -4*b - 1311*f + 1307*f = -316. Solve b - 2 = -11*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5191562 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3538507246 to the nearest integer?\nAnswer: 59485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -200, -184, -168?\n\"Answer: 16*c - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11357 and -2.\nAnswer: 22714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 1 + 3598*v**2 - 4036*v**2 to the form w + y*v**2 + o*v and give y.\nAnswer: -438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = j + 6497 - 6501, 4*j + 7 = -2*q + 27 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10109 + 10127. Solve 87 + r = 15*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/84)\/(((-72)\/(-364))\/(-9)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -79*g**3 + 3*g**2 - 3*g - 5. Let k be r(4). Let c = 60439\/12 + k. Let x = 383557\/22 - 17438. What is the common denominator of c and x?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.1 and 1\/4023 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.936281 minus -42009?\nAnswer: 42009.936281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -3 (c) 4 (d) -203.9 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*a + 165 = 45*a. List the prime factors of (a - (5 + -8)) + 917.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 214 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3085 - -4793. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47 - 6*b + 6*b + 19*b - 103 + 2*b + 5*b + 0*b + (1 - 1 - 1)*(2 - b - 2) - 3 + 3 - 2*b.\nAnswer: 25*b - 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 2*q - 13. Suppose -3*a + o + o + 20 = 0, 0 = a + 5*o + 16. Let c(i) = 2*i + 5. Let j be c(a). Calculate the greatest common factor of j and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2130 divided by 426?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22385 - -111926\/5. Let -1\/5*o**2 - 2\/5*o - w = 0. What is o?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 4862?\nAnswer: 4860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 2*k - 4 = -3*k + 1, k + 16 = -61*t + 63*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77338 is divided by 3942?\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 53, 81, 123, 185, 273?\nAnswer: 393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 176 + -107. Let l(r) = -70 - q + 140 - r + 11*r**2. What is the tens digit of l(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 138, 148, 156, 156, 142, 108, 48?\n\"Answer: -w**3 + 5*w**2 + 2*w + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35316 + 244?\nAnswer: 35563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b962 (base 15) in base 4?\nAnswer: 323001032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/12 + 722\/12. Suppose -d + p = d. Let a = d + 32. Is 21 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3 + 2 + 1 - 4. Let v(h) = -h + 3. Suppose 5*z = -0*p - p + 8, 18 = 5*z - 4*p. What is z*s(i) + 3*v(i)?\nAnswer: -3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -81? (a) -0.156 (b) 0.07 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 (base 4) in base 9?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61934178?\nAnswer: 2, 3, 10322363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 + 3.8. Let l = -1 - d. Let g = -154 - -154. What is the closest to 0.1 in -0.5, l, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 777.4346l to millilitres.\nAnswer: 777434.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2 + (sqrt(1900) - (2 + sqrt(1900))))*6)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 113*n - 2 - 4437*n - 4030*n - 6379*n)*(-3 + 3 + n).\nAnswer: -14733*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -490484256 - -0.05.\nAnswer: -490484255.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 t, and 1 l when four letters picked without replacement from {l: 2, t: 5, s: 1, e: 1, q: 3}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 3*a - 128, -5*a + 1 = 21. Suppose m = 2*s - 4*w, 3*s - 5*w = -s + 128. Solve -o - 3*o + 2*g + 22 = 0, 3*g + s = 4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h + 1 + 2*h**2 + h - 1.\nAnswer: 2*h**2 + 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5388 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - u**2 + 0*u + 6 - 2*u + 4*u. Let o be h(0). What is the units digit of o\/(-27) + (-83)\/(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + w**2 + 1 + (w - 4*w + w)*((1 - 18 + 10)*(5*w - w - 2*w) - 2*w + 2*w - 2*w).\nAnswer: 33*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 + -28. Suppose 0*k - 41 = -k - p, -117 = -q*k - p. Let m = 54 + k. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (5\/(-1) + -61). Calculate the common denominator of 83\/14 and (4*4\/o)\/(2\/(-81)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -2)*187*4\/(-4). Let m be (-3)\/(5 - 651\/132). Let g = m - -61. Calculate the highest common factor of g and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 279*i**2 + 3*i - 4. Is x(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20115 and 68137551.\nAnswer: 4023","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18651 is divided by 1161.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 = -19*t - 22 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 141 - 326. Let v = -169 - y. Calculate the highest common divisor of v and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(140\/(-10))\/14\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 163 + -1143\/7. Let r be ((-2)\/24)\/(1\/(-3)). Which is smaller: d or r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 - -38. Let v be (-26)\/d + 30\/80. Let z = 40 + -20. Solve -v*o - 2*o = z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 14) + 15 + (5 - -24)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38966456 less than or equal to 38966455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -4.3. Let c = f + -1. Put 4, c, 0.2 in increasing order.\nAnswer: 0.2, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1331748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 258?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-1)\/3)*2\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjr when three letters picked without replacement from {j: 4, i: 1, m: 2, a: 2, r: 2, y: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48*(-10)\/2300*(-9)\/(-144)*20.\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3307594 to the power of 1\/3, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/((-17160)\/(-32)))\/((-3)\/(-225)*6)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -7, 3\/41, -2?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/19)\/g*g*(g*g**4)\/g*g)**(-2) assuming g is positive.\nAnswer: g**(-186\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1055 is divided by 174.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, 2\/85, -349.5, -0.5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + sqrt(85) + -2*sqrt(85))\/sqrt(5) - (sqrt(153) + sqrt(153) + sqrt(153) + sqrt(153)*-3 + sqrt(153))\/sqrt(9).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20 + 544?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 24.5191.\nAnswer: -24.2191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - 25b?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b = -6*b + 5*l - 196350, b = 5*l + 39300. What are the prime factors of b?\nAnswer: 5, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010000000001000010101001 - -100?\nAnswer: 100010000000001000010101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -0.5 (c) 8\/97 (d) -0.042 (e) 0.2 (f) -4.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 13. Let f = q + -5. Suppose 3*u - 68 = 4*r, 2*u + f*r - 11 = 1. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**5\/5 - 5*r**4\/12 - r**3\/2 - 14*r**2. Is z(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (2 + 1 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259543 is divided by 86514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -73, 0, 31.\nAnswer: -73, -7, 0, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.68 + 0.32. Let v be 104\/(-168) + 1\/3. What is the second smallest value in v, t, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2106\/(-405) - (-1)\/(3\/15).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3907542223?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 9 = -c, -50 = -r - 2*c - 41 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 1 = -4*s + 5*n, -5*n + 2 = -2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 5*h + 22, -2*z + 25 = 3*z - 2*h. Let t = 6 - -2. Solve t = l + z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 12:03 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/20*6)\/((20\/1)\/4)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 218*q**2 - 15. Let v(o) = -175*o. Give z(v(n)).\nAnswer: 6676250*n**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + 3*sqrt(70))*-6)\/sqrt(10)*1.\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2\/19)\/m)\/m)**35*(m*m**(-5\/7))\/m**(1\/26) assuming m is positive.\nAnswer: m**(-132915\/3458)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7179 and 1940723?\nAnswer: 2393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9003 is divided by 53.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/6 and 247415\/(-1885800) + 11\/(165\/2).\nAnswer: 10776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhh. Give prob of picking 3 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (103 - (87 + 21)) + 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -50? (a) 1\/3 (b) -0.2 (c) -2265\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-4)\/48*18\/(-3).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) - sqrt(832)*-4)**2 - sqrt(4212)*-3)*1*-5.\nAnswer: -104000 - 270*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03 - 0.07. Let b be -215 + 212 - 2*1. Let d = 1.2 - -1.8. What is the nearest to n in 0, b, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 0 - 28 - -47.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 7:34 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10217 is divided by 330.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 3, -0.2 in descending order.\nAnswer: 26, 3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*3\/(-2)*(-56257 + 1). Let l = -59785 - -11169. Let f = y - l. What is f rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (1 - (-4 + 5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**3\/6 - 9*u. Let t(d) = 2*d**2. What is q(t(w))?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 71080 divided by -2?\nAnswer: -35540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 55?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*i - i - 2*i)*(4 - 4 - 2*i**2) - i**3 - 2*i**3 - i**3)*(1 + 4 - 2)*(0 - i + 0) to d*i**2 + n*i**3 + y*i + a + w*i**4 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-485990)\/(-95085) + (-1721)\/342.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, m: 3, y: 1, t: 9}. What is prob of sequence tft?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a day in seconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39.6 - 4092393.\nAnswer: -4092353.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/2556 and -103\/38.\nAnswer: 48564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13124323.\nAnswer: 17, 772019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2198)\/(-2212) - 35\/(-5530)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = -63*u + 78*u - 12 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 5*f - 79. Let v be l(7). Solve 2*z - 1 = y - z, v*z = -5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p. Let n be (-33)\/(-9) - 6\/9. Let v(j) be the third derivative of 0*j + 0*j**n - 1\/24*j**4 - 4*j**2 + 0. Give v(x(y)).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/2 and 43\/2667706?\nAnswer: 2667706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - -48 - (-1 - -3 - 2). Suppose 0 = -j + 2*j + 2*b - 6, 0 = -3*b - 15. What is the greatest common divisor of j and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 1 - 1 - 358329*w + 0 + 2. Let u(a) = -716657*a + 5. Let q(j) = -4*u(j) + 9*v(j). Let d be q(6). Round d to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zvvvvpvppvvsvzpvpp. Give prob of sequence pzz.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 9 - 1 = 0, 3*n + 1 = g. Let b be 3 + 3 - (-138)\/(-20). Which is bigger: b or n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*q**3 + 4*q**3 - 4*q**3 + (5*q - 3*q + q)*(3*q**2 - 3*q**2 + 2*q**2) as i + h*q**3 + u*q**2 + l*q and give h.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 303 and -21.\nAnswer: -6363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*i - 55 = 95*i. Let b(a) = -a**3 + 2*a**2 - 9*a - 2. Let r(p) = 2*p**3 - p**2 + 10*p + 1. Let d(g) = 3*b(g) + 2*r(g). Calculate d(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.4 - 0. Let j = -1 - -1.4. Let d = j + i. Which is the nearest to -1? (a) d (b) 2\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.38 (b) -53 (c) 2\/3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccgcwccgggvgggggg. Give prob of picking 1 w and 1 c.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -108, -145, -182, -219, -256?\n\"Answer: -37*m - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 11:56 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u**2 + 2*u - 1. Let c(d) = 4*d + 1. Let w(q) = -18*q - 226. Let m(h) = -6*c(h) - w(h). Calculate the remainder when z(-6) is divided by m(31).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90100 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*h = -189*h - 1040 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-10))\/((-86)\/101). Let r = -3287\/45881 + 2\/1067. Let l = r - h. Is 2 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 1 + 7)*(-6 + 3 + 0)*(-5*p - 3*p + 3*p) in the form x + r*p and give r.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 298, 1002, 2130, 3682?\n\"Answer: 212*n**2 + 68*n + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 8*h**2 - 4*h + 1. Suppose 4*p - 19 = 65. Let u be 2\/6 + p\/(-9) - 5. Calculate q(u).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 g when four letters picked without replacement from jygyjyjjjgjgj.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 10 = 5*v, n + 4*v + 12 = -1. Suppose 5*r = -2*i + 4*i + 65, r - 2*i - 21 = 0. Calculate the smallest common multiple of r and n.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -5*n - 7*h - 3, 5*h = 3*n + 8. Let b(f) = -8 + 14*f + 18 - 11. Calculate b(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 5 + 3)*((0 + 2 - 3 + (3 - 4 + 2)*(-4 + 0 + 3))*(-2*l - l - 3*l) - 69*l - 10*l - 93*l) to s + x*l and give x.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 11*h**2 - 2*h + 26. Let o be f(11). Is o*(-6)\/36*-13749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**2\/9 + 3460*o\/9 - 1496450\/9 = 0.\nAnswer: 865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8381103 nanometers to meters.\nAnswer: 0.0000000008381103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -4 + 9 - (-2 + 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8230 - 8234. Sort 2, -2, f in descending order.\nAnswer: 2, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67539 to the power of 1\/2, to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 187635 - 190757.365. Let j = n + 3114. Let f = -8.4 - j. What is f rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + sqrt(7)) - (-4 + sqrt(63)).\nAnswer: 3*sqrt(7) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2626, -2625, -2624, -2623, -2622?\nAnswer: -2621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -47986 (c) 2 (d) 0 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - 3112021303133?\nAnswer: -3112021303120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*2*19\/399. What is the nearest to h in -21, 0.2, -1\/8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - f. Let m(b) = -b**3 - 8*b**2 - 14*b + 6. Let g(a) = -m(a) + 4*t(a). Calculate g(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10003 (base 4) to base 3\nAnswer: 100121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 463669 and 0.1.\nAnswer: 463669.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (3555006\/22491 - 158)\/(0 + 20\/(-3))\nAnswer: -1\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oetm when four letters picked without replacement from {o: 2, e: 2, t: 1, d: 1, m: 4}.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3119.7 + -3120. Which is the nearest to -3? (a) 41 (b) 0.2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2370*g - 220*g + 53013 = -7187 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 1. Let o be m(-6). Suppose o = -t, -i + t + 17 = -2*t. Suppose 0 = -p - 1 + i. Sort 0.1, p, 0.3.\nAnswer: 0.1, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10, 12, 36, 62, 90?\n\"Answer: l**2 + 19*l - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -6 - -4 - (4 + 2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529 is divided by 67.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*t + 4 + 0 = 0, z = 4*t + 6. Suppose v - 5*y + z = 1, 3*v - 36 = 2*y. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 122.15 + -125. Let z = r - -1.15. Sort z, 3, 0.\nAnswer: z, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 18*h - 20. Let q = -373 - -574. What is the remainder when q is divided by u(16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22130*p**3 - p - 22112*p**3 + p.\nAnswer: 18*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 4) to base 13\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 206 - 204. Suppose -i + f = 3*s, i + 5 = -4*s + 4. What is the greatest common divisor of 22 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3970*j**2 - 1754*j**2 + 5865*j**2.\nAnswer: 8081*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 299099211?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70103*o**3 + 426*o**2 - 26433605*o wrt o?\nAnswer: -420618*o + 852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/51 and 53\/32731920.\nAnswer: 556442640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from ddsssdd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 18 = -4*t. Suppose q + p - 21 = 0, p = -2*q + t*p + 46. Solve -3*y = x - 8*y + q, -4*y = -3*x - 22 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in 3\/5, 52.4, 31, -5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16292261 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2099097?\nAnswer: 3, 7, 11, 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*t = -4*a + 40, t - 20 = -4*a. Find the second derivative of -a*k**4 + 3*k + 3*k**4 + 0*k wrt k.\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -23 + 5. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1365 divide 10859165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, y: 1, h: 7, x: 1, d: 2, o: 3}. Give prob of picking 2 h and 2 d.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/27 in -5\/2, 0.2, 3, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*n + 0*n = -94, 5*g = 3*n - 96. Suppose 5*y - 3*k = -k + 18, 4 = 4*y + k. Does 13 divide 3\/y*((-2184)\/g - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22836 = -5190*x - 277146 for x.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**5\/20 + f**4\/3 + f**3\/3 - f**2\/2 - 3*f. What are the prime factors of w(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 34138, 68276, 102414, 136552, 170690?\n\"Answer: 34138*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0.1, -1\/3, -1.4, -299?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3456 and 8316?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.1437 (b) -0.1 (c) -1 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 126884?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6938*c**4*m**3 - 7*c**4*m - 1197*c*m**3 - 3*c*m + 2*m**3 wrt c.\nAnswer: 83256*c**2*m**3 - 84*c**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 1242?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416823327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5*l**2 - 2*l. Let q(d) = -d**2. Calculate -2*q(i) - u(i).\nAnswer: 7*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61190 - 28891. What is the thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 243 = -681. Is 29 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p + p - 2*p)*(2 - 1 + 0)*(25*p**2 - 17*p**4 - 25*p**2).\nAnswer: -51*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51976064*y - 422881294.\nAnswer: -51976064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22608*w**5 - 4*w - 5 + 10 + 22869*w**5 wrt w?\nAnswer: 5220*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 723993?\nAnswer: 3, 373, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3 + 17. Suppose -10*a - 43 = -193. Let f be 6\/a - (-4)\/w. Solve 5*n + 3*z - 3 = f, 4*n + 4*z - 2 - 2 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 54*g**2 - 79*g - 79. Let j be d(-1). Calculate the highest common factor of 8802 and j.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b2676 + -1?\nAnswer: 2b2675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*a*m**5 + 105*a*m**3 - 14*a*m - 4*m**4 + 410*m**2 wrt m?\nAnswer: -360*a*m**2 + 630*a - 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -80 + (-14 - 19 - -16 - -36)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 6*r - 17. Find the third derivative of -5*w**r + 0*w**5 - 2*w**5 - 11*w**2 wrt w.\nAnswer: -420*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9.25 in 3\/5, 5, -0.3, -5, 34\/23, -0.06?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r**18\/r)*r\/(r*r**(-15)\/r*r)*r assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155*-0.12.\nAnswer: -18.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5473683767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, 69\/7, 3\/17, 2\/321?\nAnswer: 2\/321","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*l - 12. Suppose 2*f - 4*f + l = 0. Suppose -3*t = -4*t + 10. Calculate the greatest common factor of f and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-24)*16\/84?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**7\/1680 - f**6\/240 + f**5\/120 + f**3\/6 + 6*f. Let j(c) be the second derivative of s(c). Solve j(d) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4217*w = 4*u - 4214*w + 34, -4*w - 27 = 3*u - 5 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.3, -10, 0.4, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 23356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82 - 43. List the prime factors of p.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*w - 683 = -184*w + 2411 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 x when two letters picked without replacement from {h: 3, k: 1, x: 1, g: 6, c: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2653 or 2655?\nAnswer: 2653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 19. Suppose -5*u - v - d = -16, -4*v = 0. Which is bigger: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 3*l - 3*l + (5*l - 3*l - 3*l)*(0 + 1 + 0))*(-33 + 21*l**4 + 33)*(-3 - 4 + 1).\nAnswer: 378*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h**2 + 0*h + 0*h)*(-37*h - 559 + 559 + (-h + h + 2*h)*(1 - 1 - 1)) as j + t*h + f*h**3 + i*h**2 and give f.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 43 or 345\/8?\nAnswer: 345\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 13 + 43 = 0. Let l be u\/(-6) + 3\/9. Suppose -l = -3*r + 7. Solve -r*o + 2 = -13 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m + 7. Suppose -17 = 4*y + s, y = 2*y - 2*s + 11. Let x(n) = -5*n - 11. Determine y*x(t) - 8*f(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, 144, 583, 1436, 2841, 4936, 7859, 11748?\nAnswer: 16741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1564 - -3597. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -2*d + 7*d. Suppose -3*v = 4*t - 0 - 6, 3*t - 19 = d*v. Suppose 2*x - 5*u = -t*u - 14, 4*x + u + 18 = 0. Sort x, 5, 3 in increasing order.\nAnswer: x, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 7*m + 13*m + 7*m**2 + 6*m**2 + 4*m + 23. What is the units digit of o(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - 33 = -25 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38704 rounded to 3 dps?\nAnswer: 0.387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13719.0029149 + -13719. What is p rounded to 5 dps?\nAnswer: 0.00291","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56881 by -12.\nAnswer: -56881\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (261*h**2 + 200*h**2 - 533*h**2 + 2*h)*(2 + 2 - 5).\nAnswer: 72*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -47 + 174c?\nAnswer: 1705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -25b40c (base 13) in base 11?\nAnswer: -571977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (294\/49)\/((-2)\/50). Let f be k\/(-125)*3*(-3)\/(-18). Which is the second smallest value? (a) f (b) -1.1 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 6 = -2*m, 2*m - 88*b + 8 = -72*b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -b + 2*b**3 + 29*b**2 - 27*b**2 + 0*b - b**4 in the form u*b + x*b**2 + i*b**3 + c*b**4 + s and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -31, -105, -11 in ascending order.\nAnswer: -105, -31, -11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**5\/60 - 7*h**3\/6 - 2*h**2. Differentiate t(g) wrt g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/30 and -107\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6.414296kg?\nAnswer: 0.006414296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-5) + 6\/5. Let n be (-3 - -4) + 0 - q. Suppose -5*a + 24 + 56 = n. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 36*h. Let v(c) = 2*c**2. Give v(i(d)).\nAnswer: 2*d**4 + 144*d**3 + 2592*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*q. Suppose -p - 8 + 19 = q. Factor 2*r**3 - 2*r**3 - 16*r**4 + 12*r**5 - p*r**4 + 6*r**3.\nAnswer: 3*r**3*(r - 2)*(4*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - n - 4*w = 10, w + 9 = 2*n. Let h(o) = -1 + 2*o**2 + o + 4 - 21*o**3 - 4*o + 18*o**3. Calculate h(n).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, l: 5, g: 4, o: 2, y: 1, p: 3}. Give prob of picking 1 i and 1 p.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 34, 79, 138, 211, 298, 399, 514?\n\"Answer: 7*k**2 + 24*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*h + 5 - 2 - 12 + 5.\nAnswer: -42*h - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 19 * 126.7\nAnswer: 2407.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -690110685 and -0.3.\nAnswer: 207033205.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 3. Let o = -8.8 + 9. Which is the second biggest value? (a) l (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11461, 11464, 11467?\nAnswer: 11470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 + 27*y - 7. What is the remainder when 25 is divided by b(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d + 14. Let z be q(-6). Let a = 16 + z. Find the first derivative of -70 - 2*p**4 - a*p**4 + 73 wrt p.\nAnswer: -32*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8938902 and 285.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*o**4 + 37*o**4 + 36*o + 214 - 212 in the form p*o**4 + v*o**3 + f + b*o + d*o**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74 + -15. Let j = x + 51. Let b = j - -34. Which is smaller: b or 1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 17*u**2 - 2*u + 52. Let q be 2\/7 - (-18136)\/28. What is the least common multiple of p(17) and (-4)\/(-10) - q\/(-30)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2522560338 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*n**2 - 1581*n - 7900.\nAnswer: 4*n - 1581","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (39 - 10) + -6 + (4 - 14)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - 2*n - 9, -15 = 5*r - 37*n + 38*n for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 0*p + 1\/2*p**2 + 9. Let h(t) = -13*t. What is l(h(u))?\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 3*o + 10. Let c = 7 + o. Solve -3*i + 10 = -c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 79*k**3 - 50*k**3 - 3 - 31*k**3 - k**4)*(-4*k + 3*k - k).\nAnswer: 2*k**5 + 4*k**4 + 2*k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 87, 246, 469, 756?\nAnswer: 1107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -77716, -155444, -233170, -310894, -388616?\n\"Answer: m**2 - 77731*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 381319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 4. What is the nearest to m in 2, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-4 - -16) - -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/2 - 8639*v**2\/2 - 18627807*v\/2 + 130818303\/2.\nAnswer: -(v - 7)*(v + 4323)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 272 and 16?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 232*j - 1 + 41*j + 1 + 47*j as s + b*j and give b.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(85)*-1*4)\/(sqrt(2205)*1).\nAnswer: 4*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -647705a - 3?\nAnswer: -6477061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17238685\/124 - 139020. Which is smaller: x or 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*j = -55*j + 518. What are the prime factors of j?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -161, -2\/7, 6\/11, 15 in ascending order.\nAnswer: -161, -2\/7, 6\/11, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxcvcyxxpxxscpxp. What is prob of sequence yc?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -l - 5*h, -4*l - h = -53 - 29. Let x be (-1*2*5)\/(-2). Suppose x*w = 10*w + l. Which is the second smallest value? (a) w (b) 2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.26 (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of c**4\/12 + 136*c. Let v(h) = -4*h**2. What is -4*v(m) - 18*x(m)?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.8 - 0.8. Let x = 25 + -223\/9. Let l = -168 + 168.2. Which is the smallest value? (a) l (b) j (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 490 + -10 + (-2 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 = 177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(11)*2)**2 + 2.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + 2)*-3 + -5.\nAnswer: -9*sqrt(7) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s - 110. Determine n(-18).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -g + c, 0*c = -4*g - 2*c - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -5 (b) -5.2 (c) 4\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 57765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.87781 - -11.329. What is g rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 4878*t**2 + 3048528*t - 89876192.\nAnswer: 2*(t - 1204)**2*(t - 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -9*s**2 - 10*s + 9. Let o(q) = -q**3 + 2*q**2 + 3*q - 2. Let a be o(3). Let z(l) = 3*l**2 + 4*l - 3. Let w(m) = a*i(m) - 7*z(m). Calculate w(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 + -63.78. Let n = 403.87 + -405. Let o = l - n. Round o to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-6))\/(42 - 46)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 157*l**3 + 6*l**2 + 2*l + 4. Let a(s) = -316*s**3 - 13*s**2 - 5*s - 9. What is 4*a(t) + 9*r(t)?\nAnswer: 149*t**3 + 2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 504*o**4 + 1809*o wrt o.\nAnswer: 6048*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -317 + 0*u**2 - 3\/5*u**5 + 0*u**4 - 38\/3*u**3 + 11*u. Differentiate v(i) with respect to i.\nAnswer: -12*i**3 - 76*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.94593 decades to years.\nAnswer: 19.4593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {a: 3, w: 2, k: 3, i: 1, m: 3, v: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3236515\/86 + 37633. What is the common denominator of z and -11\/9?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33? (a) 3 (b) -0.09 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 4. Let d = -5 - u. Let y = 2 - 2.5. What is the third biggest value in 0.3, d, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 88*u - 95*u - 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2878078359 to the power of 1\/4, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4081)\/(-25864) - (-32)\/(-976) - 55\/56.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2560132 divided by -6\nAnswer: 1280066\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 3785\nAnswer: -3\/3785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 0*h - 11 - 10*h + 9*h - h**2 + 2*h. Determine q(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -92*j**3 - j**2 - 2*j - 2. Calculate the remainder when i(-1) is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 13. Let o(c) = c**2 - c + 1. Let j(a) = o(a) - t(a). Let i be j(0). Is i equal to 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.24*-0.18\nAnswer: -0.2232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 480391887.\nAnswer: 3, 160130629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1865 + 1863. What is the second smallest value in k, 0.5, 2, 6, -162?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -15. Suppose 16 = -5*m + w*m. Suppose -m = -4*r - 8. Solve r + 2 = 4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2*z - 5*j + 6 = 0, -2*z = 2*j - 8. What is the third derivative of v**2 + z*v**5 + v**2 - 5*v**2 wrt v?\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -110 at least as big as -331\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1) + (4 - (4 + 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/239, 0.06, 2, -15, -2\/5, -3 in ascending order.\nAnswer: -15, -3, -2\/5, -2\/239, 0.06, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67.8058 + 0.2634. Let h = z + 0.0424. What is h rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14724 = 8*w - 27860. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -871*y + 294*y - 132 = -266*y - 267*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42\/(-1*(-1 + -1)) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -5. Suppose -3*u = -3 - 12, i*a = 4*u + 75. Let o(s) = s**2 + 1. What is the remainder when a is divided by o(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15136?\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14312, -28621, -42930, -57239, -71548?\nAnswer: -85857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 8 = 8 + 20, 1 = 4*r + 5*k for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1556 (base 9) to base 5.\nAnswer: -14220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)\/(k*k**(-1\/19)\/k*k))**(-10\/3) assuming k is positive.\nAnswer: k**(560\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 13279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 1:57 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013348 rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 77\/14*(-3 - -1). Suppose 5*c = 32 + 98. Let t = c + g. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 3*b**2 + 28*b - 1. Let v(f) = -2*f**3 - 8*f**2 + 84*f - 2. Give 8*u(c) - 3*v(c).\nAnswer: -2*c**3 - 28*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*(sqrt(567) - -1*sqrt(567))\/sqrt(9))\/(sqrt(324) - ((sqrt(324) - sqrt(324)*2) + sqrt(324)) - (sqrt(9) - sqrt(9)*-1)*4).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 740421601.\nAnswer: 43, 379, 45433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010100 - 111110101010111100100?\nAnswer: -111110101010101010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbccbbrcrc. What is prob of picking 1 b and 2 r?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*i + 9*i. Sort -4, -5, i.\nAnswer: -5, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*q + 2412 + 2036 + 1688 = 0. Let x = 248 - 148. What is the remainder when x is divided by q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 889036, 1777416, 2665796, 3554176, 4442556?\n\"Answer: 888380*v + 656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, j: 4}. What is prob of picking 2 j and 1 x?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 81, -4, 10 in decreasing order.\nAnswer: 81, 10, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + 2*sqrt(304) + sqrt(304)*-3*1)*4 + -4.\nAnswer: 8 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - g + 3791, -2*w - 5*g + 5072 = 1301. Calculate the highest common divisor of w and 730.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*t = -144*t + 3666. What is the remainder when 8695 is divided by t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w + 2. Let r be o(-7). Suppose -5*s = 3*u + r, -4*u - 4*s - 26 = -2*s. Suppose -16*p = -18*p + 26. Sort p, -3, u.\nAnswer: u, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -24*c + 44*c - 16*c. Let h(z) = 10*z. Calculate a(h(g)).\nAnswer: 40*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rpzrrbiirrirriirz. What is prob of sequence zbr?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/45)\/2 + 145\/45?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 6564 = -8*a + 3*a, -5*q - a = -8184. Let o = q + -132. What are the prime factors of o?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3*y**2 + 7*y**2 + 2 to f*y + a + i*y**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 9:14 AM?\nAnswer: 619","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 11:29 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - 18. Let j = 27 - r. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11984, -11965, -11944, -11921?\n\"Answer: v**2 + 16*v - 12001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -169\/2 + 1501\/18. Let t = -20597\/3 - -6866. Which is the second smallest value? (a) t (b) l (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4179306 to the nearest one hundred thousand.\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-13200)*110)\/(1\/(-126)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5 = 3. Let a be -2 + w - -1082 - (-1)\/1. Let 4*c**3 + 1078*c**4 - 20*c + 5*c**2 + 16*c**3 - a*c**4 = 0. Calculate c.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77.43572108653 - 613450.51172038653. Let h = a - -613373. Let t = h - -0.076. What is t rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p - 2. Let s be o(-3). Let m = -5 - -8. Suppose 0 = m*w - 4*w - 2. Sort w, s, 5 in decreasing order.\nAnswer: 5, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -15836*z + 1108549. Determine j(70).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -244 - -265. What is the least common multiple of 90 and v?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*p**2 + 81*p - 10.\nAnswer: -(3*p - 5)*(15*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 308 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 10) to base 3\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(34)\/sqrt(2) - -3*sqrt(153).\nAnswer: -1 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (19 + -11 + (7 - 28))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -170 + 171. Calculate the remainder when 18 is divided by -2 + -2*(y + -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r - 1498815 + 1498815.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 2, -1\/322, 0.1, -17?\nAnswer: -1\/322","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 6:58 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 461*l + 425*l + 194*l + 1692*l to the form v + h*l and give h.\nAnswer: 2772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5334, 22579.\nAnswer: -5334, 0, 22579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 110527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -211 (base 6) in base 4?\nAnswer: -1033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {q: 4, u: 6}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2723106*q**3 - 758903*q**2.\nAnswer: 16338636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(3267) - (3*sqrt(3267) - sqrt(3267) - sqrt(3267)))\/(sqrt(72)\/(sqrt(8)*-2)) + 1)**2 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1717.13399 - 55.36?\nAnswer: -1772.49399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2449216 is divided by 128906?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*n + 1. Let w be (2\/3)\/(n\/(-12)). Is (-49)\/(-1) - (-8)\/w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 126)*9\/9. Let b(c) = c**3 - 2*c**2 + 8*c - 5. Let r be b(4). Let x = f - r. Calculate the remainder when x is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 6 - 1)*(-7 + 4 - 2*j**2 + 5) to the form l*j + z*j**2 + p and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(6 - 1) + 4988\/(-290). Let v be h + (-6 - (-3)\/3). Which is bigger: -45\/2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -1 + 0 - m**2 + 7*m - 4. Let o(b) = 5*b**2 + 114*b + 93. Let h be o(-22). Give n(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 610.97 + -606. Let u = s - 5. Let f = u + -0.47. What is the second biggest value in -2, 0.5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6\/11)*m*m**10\/m)\/(m**(-12)*m*m**(-2\/13)) assuming m is positive.\nAnswer: m**(2947\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16, 62, 138, 244, 380, 546, 742?\n\"Answer: 15*l**2 + l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaagzzg. Give prob of sequence azaz.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -94 - -275. Let z = -170 + a. Solve 4*i - 6 + 16 = -2*g, -z = 3*i + 5*g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -166, -188\/7, -1\/7?\nAnswer: -188\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxlxlxx. What is prob of sequence lxxx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 11*k**2 + 10*k - 10. Give i(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + -15. Suppose v = -s + 8*s. Factor 2\/11*k**s - 4\/11 - 2\/11*k.\nAnswer: 2*(k - 2)*(k + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 9:16 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 30*o**2 + 209*o - 3. Let x be k(-7). Let v(y) be the third derivative of 0 + 0*y + 0*y**3 + 2*y**2 - 1\/4*y**x. Give v(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen eighths of a micrometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 36, 2\/17, 0.1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(14\/(-15))\/(8841\/(-4210))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilometer in meters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f + 2*f - 2*f)*(2*f**2 + f**2 - 9*f**2)*(-f + 0*f + 4 + 4) in the form j*f**2 + i*f**4 + a*f + n + y*f**3 and give y.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-14) - ((-39)\/(-21) - (-203)\/(-116)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8412\/(-204) + 344\/1462.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21168 and 543067?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-2\/15))**(-14\/3) assuming c is positive.\nAnswer: c**(-238\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 405 + 626?\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f + 3*s - 37, 377*f + 2*s + 7 = 374*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -636359 divided by -38?\nAnswer: 636359\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5399 or -5359?\nAnswer: -5399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 46.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16757055.\nAnswer: 3, 5, 7, 53197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 178.44 - 178. Round t to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.91 to zero dps.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4\/5 + 936*k**3\/5 - 26133*k**2\/5.\nAnswer: -3*k**2*(k - 281)*(k - 31)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - (sqrt(114) + sqrt(114) + sqrt(114)*3))\/sqrt(3) + (sqrt(266)\/(2*sqrt(7)) - sqrt(38)))\/(-5*sqrt(8)\/(sqrt(8)\/(sqrt(4)\/sqrt(2)))).\nAnswer: 9*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2. Let o(a) be the second derivative of 0*a**2 + 0 + 18*a + 13\/6*a**3. Determine o(z(r)).\nAnswer: -26*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -10*c - 1. Let a be k(-1). Let x = 13 - a. Solve -8 = -4*z, -x*p - 2 = z - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5000 - -5091. What is the remainder when 711 is divided by n?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.263 - -3.093. Let x = 2.9084 + -0.0084. Let o = q - x. What is the second smallest value in -1\/7, -4\/9, o?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 17*k - 15. Let r be y(1). Suppose r*t - 6*t + 8604 = 2*q, 2*q + 6439 = 3*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -35a1 + 26?\nAnswer: -3578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 12:34 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189567 divided by 51.\nAnswer: 3717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2*f - 0 - 1, -2*f = -8. Let s(n) be the first derivative of w + 32*n**2 - 14*n**2 - 14*n**2. Let g(a) = -2*a**2. Give g(s(j)).\nAnswer: -128*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -447*n**3 + 333*n**3 + 135*n**3.\nAnswer: 21*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 + 776 = 5*x. Let o = -65 - -90. Calculate the remainder when x is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200010010212 (base 3) to base 12\nAnswer: 152435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -11012212222120202?\nAnswer: 11012212222120212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9169 - 8901. List the prime factors of y.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(153) + (sqrt(153) - sqrt(153)*-2) + sqrt(153))*4*-1)\/(sqrt(9) + 6*sqrt(54)\/sqrt(6) + (sqrt(36) + sqrt(36)*-3)\/sqrt(4)).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.9 - 148911.1.\nAnswer: -148908.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -22120 (base 4) to base 3\nAnswer: -220121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**3 + 120*o**2 + 538*o - 14301. What is r(-22)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 863501 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4311310\/3, 0, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 + f - 1. Let k(t) = -t**2 - 2. Let w be k(0). Let b be (1 + w)\/(1\/2). What are the prime factors of s(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*m - 414 - 141 = 0, 4*c + 4*m = 2300. What are the prime factors of c?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12353\/1425 - 1\/475. Is 5\/3 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57122 and 3718?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -179*v + 32. Let j(m) = -1254*m + 212. Determine 20*a(k) - 3*j(k).\nAnswer: 182*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/11 - 129550954*x\/11.\nAnswer: 2*x*(x - 64775477)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -46 + 44 + -28.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/18134 and -13\/10.\nAnswer: 90670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z**2 + z**2 - 2*z**2 + z**2 in the form b*z**2 + l*z + y and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 10*v**2 - 19024*v - 11418 = 0.\nAnswer: -3\/5, 1903","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 95368612 divided by -25486?\nAnswer: -3742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 + 3. Suppose -8*y + 11 = -61. Let p be 1 - 1 - (-2 - -4 - y). Let j(h) = -5*h**2 - 7. Calculate p*b(d) + 3*j(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-36)\/(-54))\/(14\/(-6))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 516, 3034, 9862, 23154, 45064, 77746?\nAnswer: 123354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(24)*-3)\/((-6*sqrt(16)\/sqrt(4))\/sqrt(2)).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*q**3 - 54*q**3 + 31*q**3 - 44*q**3.\nAnswer: -100*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247*j**2 - 859*j**2 + 206*j**2 - 2.\nAnswer: -406*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*h = 3*a - 88*h - 1, 3*a - 2 = 4*h for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.702501 minutes in milliseconds?\nAnswer: 402150.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1797*k = -53195 - 11497 for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.2 + -2.8. What is the nearest to -0.1 in 3\/4, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 103, 4, -2\/5, 13, 3\/5?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 2*k + 6 - k - 3. Calculate the smallest common multiple of i(4) and (160\/14)\/2 - (4 + 300\/(-70)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -32410.32 from -109.\nAnswer: 32301.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-4) - 45\/(-90).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -408, -410, -420, -444, -488?\n\"Answer: -q**3 + 2*q**2 - q - 408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 74a97 (base 13) to base 15\nAnswer: 425a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/444 and -47\/76.\nAnswer: 8436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73 - 68. Find the third derivative of -3*b**4 - 355*b**5 + 3*b**4 - 2*b**2 + 375*b**q wrt b.\nAnswer: 1200*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b**2 + 8 + 29 + b - 17)*(-3*b - 15*b + 0*b) to f*b**3 + o*b**2 + w + q*b and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*w**2 - 29*w + 98*w - 69*w.\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 6*z**2 - 6*z - 3. Let c be o(7). Let l(b) = -9*b + 6 + 11*b - 11. Let u be l(c). Put u, -2, -5 in descending order.\nAnswer: u, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -256400, -255999, -255332, -254399, -253200?\n\"Answer: 133*d**2 + 2*d - 256535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15280391 or 15280392?\nAnswer: 15280391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 2)*2\/(-22). Let k be (-18)\/(-99) + 4\/(-143). Sort 2\/7, h, k in ascending order.\nAnswer: h, k, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/574 and 7 + -6 + (-208)\/(-1312)?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3159, 4229, 5287, 6327, 7343, 8329?\nAnswer: 9279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 532*x - 36696. Determine g(69).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 13 + 5)*(0*q + 9*q - q)*(0 - 1 + 2).\nAnswer: 80*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.258 + 580.742. Let y = 637058.361 - 637640. Let z = s + y. Round z to 2 decimal places.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2356 and -0.32.\nAnswer: 753.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 5*b**7\/14 + b**3\/2 + 15*b**2\/2 + 8*b + 2. What is the second derivative of q(x) wrt x?\nAnswer: 300*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*v**(2\/5)*v*v))**(-23)\/(v\/(v\/(v\/((v\/(v**(1\/12)*v))\/v)))*v**(-14)\/v) assuming v is positive.\nAnswer: v**(2707\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 0, -2*r - 164*c - 2 = -166*c for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.7096079 microseconds?\nAnswer: 0.0007096079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 + 104. Let z be l*(0 + 1) - 1*3. What is the tens digit of (z - (2 + -6))*(-12)\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 5, 18, -5.\nAnswer: -5, -3, 2, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-7))\/((-16)\/(-168)*15)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 5:45 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-12)\/((-3)\/(2 + 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(288) + 2)**2 + -2)*6.\nAnswer: 144*sqrt(2) + 1722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z. Let t be o(-1). Let k = -214 - -214. Let p = -0.05 + -0.45. Which is the closest to t? (a) 1 (b) k (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 - 718*t - 716.\nAnswer: -2*(t + 1)*(t + 358)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 0*c**2 - c**2 - 4*c + 6*c + 1 + 2*c. Let w be g(3). Solve 0*j = -w*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-5) - (-1)\/(5\/(-19)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -383 - 6?\nAnswer: -389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t + 37. Calculate x(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-32)\/28)\/4)\/((-2)\/7). Which is the closest to -0.1? (a) 10 (b) 0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107332 (base 8) to base 14.\nAnswer: d482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*n + 30*n - 66 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16\/9? (a) -4.5 (b) 5 (c) 2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014167 rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3132665.\nAnswer: 5, 626533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53 - 5*j**3 - 6183616*j**2 + 6183614*j**2 + 3*j + j**3 to the form a*j + h*j**2 + b*j**3 + p and give p.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w**2 - 18*w - 8. Suppose 0 = -3*k + 22 + 5. Is t(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*f + 4, f + 3*a - 10 = 3. Put 5, f, -1 in ascending order.\nAnswer: f, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 2*n. Let o = -3 + 1. Let y be r(o). Is -4 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 1 + (-41 - -24)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*b + 200 = 0. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 3*j + 8 = 0, -11*j - 11 = 2*v - 12*j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-2)*(-1)\/9. Let a(h) be the second derivative of i*h**2 + 2*h + 0 - 1\/18*h**4 + 1\/90*h**6 + 0*h**5 + 0*h**3. Solve a(d) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -148*p + 3*x + 1634, -p + 8*x = 5*x + 5 - 22 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2676 and 88.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 909679413 to the nearest integer?\nAnswer: 30161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10261872, -20523742, -30785612?\n\"Answer: -10261870*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1711\/5, -1.5, -519 in increasing order.\nAnswer: -519, -1711\/5, -4, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4756\/2399, -0.3, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 6*n**2 - 49*n - 277. What is the remainder when f(21) is divided by 670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*u + 8 = -0*m, -5*m + 5*u = -30. Let i be (0 + -6)*(-1)\/m. Let a = -8 + 10. Solve -2*y - 16 = 2*y - 2*o, -o = i*y + a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c - c - 4*c**3 + 5*c**3 + 6*c**2 - 3. Let n be k(-5). Suppose -3*f + l = -3, -3*f - 2*l - 4 = -8*f. What is the greatest common factor of f and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y + 15. Let m(p) = 4*p - 14. Let r(f) = -4*k(f) - 5*m(f). Let a = -3 + -8. List the prime factors of r(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -161 - -315. What is the highest common factor of 14 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + -11. Suppose 5*m = m + 4*q + 20, -5*q = 4*m - 56. Suppose 5*o - 11 = m. Solve -5*b + o + g = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-7))\/b*b*(b*b*b**(-2\/25)*b)\/b*b assuming b is positive.\nAnswer: b**(273\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = x + 21, f - 35 = x - 4*x. Solve -32*n + f*n = -108 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 - 58. What is the derivative of 3 - 2 - 7 - 11*i**3 + w wrt i?\nAnswer: -33*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1663?\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8740 - -26222\/3. Let k(z) be the second derivative of 0 + u*z**3 - 10*z - 8*z**2 - 1\/48*z**4. Find c, given that k(c) = 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 588730.1ug?\nAnswer: 0.0005887301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 11:39 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 332\/(-56) + (-8 - -14)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 6. Let z = 31\/6 + -391\/78. Put t, z, -0.5 in ascending order.\nAnswer: t, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -22. Suppose -5*o + 61 = -3*g + g, q*o - 2*g = 22. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -14*u + 8. Let g be f(-6). Suppose -4*c = -4*q - g, -q - q - 26 = -c. What is the remainder when 39 is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3300 and 3000.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*d + 97 = 9*r - 61*d, 386*d - 381*d - 49 = -3*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000291293728 to six decimal places.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/15 in 5\/7, -0.042, -330?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/25)\/(8\/(-20)) - -5. Let b be ((-14)\/4 + 1)*-2. Solve x = b*q - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-51)\/93 - (-2 + 0)\/2. Let j = -163\/155 + y. What is the biggest value in 1\/7, j, -1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-29 + -1)*(-144)\/27. Suppose 0*f + 4*f = o. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 42 = 3*x - 5*x + 3*u, -8*x + 3*x + 80 = -5*u for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -8*s + 10. Let i be 8 + 0 - s*2. What is the derivative of 2*q**i - 23*q**4 + 5*q**4 - 7 + 0 wrt q?\nAnswer: -64*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 406 = -318. Calculate the lowest common multiple of 4\/3*2 - (-11720)\/879 and y.\nAnswer: 2896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*((-14 + 0)\/(-2) - (-630)\/(-105)). Which is the closest to -0.022? (a) -2\/5 (b) -4 (c) z (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*t = -580, -t = -4*u - 78 + 658. Let o(p) = 42 + u*p - 73*p - 71*p. Let k be o(0). What is the highest common factor of 14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5366, 21948, 50474, 91670, 146262, 214976, 298538, 397674?\n\"Answer: 121*k**3 + 5246*k**2 - 3*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - (53 + -12)) + -5 + 27.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*p**2*y**2 - 2*p**2*y + 8*p*y + 38*y**2 - 3*y wrt y.\nAnswer: 6*p**2 + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 1. Let o(u) = 2*u**2 + 3. Let r(d) = 3*k(d) - o(d). Let c(f) be the third derivative of f**4\/12 - f**2. Determine r(c(y)).\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9, n: 6, e: 4}. What is prob of sequence nl?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**3 - 4*h + 10*h + 12*h**4 + 3*h**3 wrt h.\nAnswer: 144*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 5*y - 15, -4*b + 5*y + 1 = -14. Suppose 5*o + 10 = 0, 2*o = -4*i - b*o + 4. Let c(u) = -u**2 + u - 1. Calculate c(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -17*c**2. Let q(y) = 367*y**2 - 5588*y. What is q(a(h))?\nAnswer: 106063*h**4 + 94996*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 60*f - 5 = 65*f, 9 = 3*f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2951 or -990?\nAnswer: 2951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 20*p**2 + 24*p + 73. Let m be c(-21). Solve -59*t - w = -57*t + m, 3*t = -3*w - 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452822221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 146517592 a multiple of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**4 - 2 + 0*i**4 + i**2 + 5*i**4 in the form p*i + m + r*i**4 + y*i**2 + q*i**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13850457 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v**2 - v**2 + 2*v**2)*(24*v**2 + 3 - 3 - 1) to the form t*v**4 + n*v**3 + j + c*v**2 + z*v and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 16 + 7 = 44236*f - 44237*f, f + 14 = -d for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -4710\/4823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 835 and 12397.\nAnswer: 10351495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-3185)\/(-117) - 3\/((-81)\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 - 3.4. Let i be ((-3)\/15)\/(1\/2). Is i <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60296 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1386404868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 2\/761, 2\/17, 1 in increasing order.\nAnswer: 2\/761, 1\/9, 2\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -9*n**2 - 6069*n - 8335. Let o(a) = 5*a**2 + 3035*a + 4169. Let x(q) = 3*i(q) + 5*o(q). What is the first derivative of x(d) wrt d?\nAnswer: -4*d - 3032","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -182 - -245. Let g be 16\/36 + 14\/x. Let a = 5 - 5.3. Put 2, a, g, -2 in descending order.\nAnswer: 2, g, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 28 = 6*y - 2*f, 18 = 2*y - 2*f. Suppose y*p - 36 = p. Let j(b) = -b + 54. What is the units digit of j(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 2:07 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4547*w - 32792 = 67242 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6846, -29075, -66114, -117957, -184598?\nAnswer: -266031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*v - 78*v - 3*v = 0. Let n(d) be the third derivative of v*d - 1\/60*d**5 + 4*d**2 + 0 + d**3 + 1\/4*d**4. Give n(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2094, -3, -1, 0 in decreasing order.\nAnswer: 0, -1, -2, -3, -2094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 14*d**2 - 16*d - 10. Let r be k(-15). Solve r*h - 15 = 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3d - 6890?\nAnswer: -6851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + t - 200, 118*o + 640 = 219*o - 117*o + 4*t for o.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9642134 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 145091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - 28 - -36 - 39.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/2))**(-12)*(b*b\/(b\/(b*b**4*b)))**(-43) assuming b is positive.\nAnswer: b**(-295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(5\/2)\/s)\/(s*s**(-16)))**(-3\/47))**(-1\/5) assuming s is positive.\nAnswer: s**(99\/470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 26*z + 95. Calculate p(29).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 + 0 = 3*n - 4*c, -28 = 2*n - 5*c for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + -11 + (-102)\/(-27). Let o be (2\/(-4))\/((-3)\/(-2)). What is the nearest to o in 2\/3, 2\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11725621 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -56 (b) -2\/19 (c) -39 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 3 + 0 + -11. Is (j\/20)\/(3\/(-435)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7748025125 to the nearest integer?\nAnswer: 1979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 3*v - v)*(0 + 4 + 13) - 2*v + 0 + 0.\nAnswer: 32*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 757 - 810.05. Let i = p - -50. Let w = i - 11.25. Round w to 0 decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-95)\/(-90))\/((-111)\/2220).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30210 or 120835\/4?\nAnswer: 30210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 8*z**2 - 10*z + 11. Suppose 4*x - 37 = -1. Let r be m(x). Let l(j) = 3*j - j - r - 2 - j**2 + 2*j**2. Calculate l(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**4 - 474*g**3 + 26793*g**2 + 6962112*g + 215737344 = 0?\nAnswer: -51, 288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 1642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 0, 15*u = -2*i + 6*u + 8*u + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*x + 18099 + 48105 = 0. Calculate the highest common factor of x and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**4 + 2*k**4 - 2*k**4 + (-k + 0*k + 2*k)*(-2*k + 259 - 522 + 261 + 103*k**3) in the form h*k + c*k**3 + b*k**2 + l + a*k**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -33402, -2\/7, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 650 + -36. Suppose 6*t + 12 = 12*t. Suppose -f = -5*h - t*q, h = 2*q + 2*q + 136. Is 29 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 33*f**2 + 102*f + 6. Let d(g) = -65*g**2 - 203*g - 13. Let y = 142 + -148. Let n(t) = y*d(t) - 13*r(t). What is the second derivative of n(j) wrt j?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (0 - 6)\/3. Let m = x + 0. Solve -2*g = 8, -q + m*q + 2*g + 8 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o**5 + 7225*o**4 - 966255*o**3 + 951815*o**2 + 966260*o - 959040 = 0. Calculate o.\nAnswer: -1, 1, 148, 1296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (190\/114)\/((-1)\/6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 12*g + 44. Let n be k(15). Suppose 0 = -2*b - 0*b + 42. Let h be 7\/b - (-16)\/6. What is the nearest to 0.4 in h, 0.5, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*v + 68*v = -3. Which is bigger: v or -0.071?\nAnswer: -0.071","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 5:03 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 14*u**2 + 15*u + 16. Let x be f(-15). Let y be 12\/30*10\/x. Factor -y - 1\/4*t**2 - 1\/2*t.\nAnswer: -(t + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-3) + (-71)\/213. Let t(r) be the first derivative of -1\/3*r**2 + z*r**3 - 2 + 4\/9*r + 1\/18*r**4. Factor t(h).\nAnswer: 2*(h - 1)**2*(h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*j - 6*j + 3*j + (3 - 5 + 3)*(-j + 2*j + j).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -372 - -1190. Let m = s - 568. Suppose -p - 4*p = -m. What is the highest common factor of p and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(490)\/((sqrt(10) - (sqrt(10) - sqrt(100)\/sqrt(10)))*5))\/(sqrt(224)\/sqrt(2)*5)*-6.\nAnswer: -3*sqrt(7)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (351\/156)\/(27\/(-12) - -2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -262 + 555. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*h + 15*h - h**2)*(-2*h + 6*h - 2*h)*(-2 - 1 + 1)*(3*h**2 - 5*h**2 + h**2).\nAnswer: -4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/12)\/((-448)\/(-1728))?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134282 is divided by 66913?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/4 + 1 - (2 + 7). Let n be 99\/60 - h\/(-20). Find p, given that 0*p**2 + n*p**5 - 9\/2*p**4 - p + 0 + 17\/4*p**3 = 0.\nAnswer: -2\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28716*a**2 - 19297143*a + 6048.\nAnswer: -3*(a + 672)*(9572*a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 5\/116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c. Let s(f) = -3*f. Let p(a) = 6*a + 16*a + 2*a. Let l(z) = -4*p(z) - 33*s(z). Determine l(m(y)).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 + 11777*v**2 + 389668*v + 732220.\nAnswer: -(v - 11810)*(v + 2)*(v + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4660\/2330*(-2)\/16*2)\/(7\/(-30)).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 280, 282, 284, 286, 288?\nAnswer: 290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 3. Let y be n(3). Solve i + 2*s + 1 = y, -2*i + 0 = 3*s - 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 6*l**2 + l - 1. Suppose -u = w + 4, 0*w + 15 = -3*w. Let c be (8 - u) + (0 - 1). What is the units digit of s(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4794 and 7050?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1094*p**2 + p + 462*p**2 - p + 382*p**2.\nAnswer: -250*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/4*(-160)\/(-56). Let g(s) = -38999*s + 1. Let x be g(-1). Let h be x\/(((-3)\/l)\/(-1)). Round h to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 - 2*y**3 + 0*y**3)*(-44 - 2*y + 0*y + y).\nAnswer: y**4 + 44*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*w + 24, -1 = 4*o + 3*w + 37. Let y = -129\/2 - -66. What is the closest to o in y, -1\/2, 1.6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**2 - 4399*b - 734364. What is n(-182)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 400379?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -52, -2, 0.1, 1\/55, -6\/5?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 332*h + 20*h**2 - 332*h + 3619*h**2.\nAnswer: 3639*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2863 is divided by 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 34615454?\nAnswer: -34615454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -9*v**2 + 4*v + 9. Let b be q(-3). Let t = -89 - b. Let r(w) = -w - 6. What is r(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 10*j - 6. Let o(b) be the third derivative of b**4\/12 - b**3\/6 - 8*b**2. Determine -2*a(p) + 11*o(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -16. Let b(d) = -11*d - 293. Let o(f) = -9*f - 225. Let g(p) = -4*b(p) + 5*o(p). Determine 3*g(z) + 8*x(z).\nAnswer: -3*z + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - 0.3. Let j = 43 - 43. Let z = 0.039 - -0.161. Which is the nearest to z? (a) -2 (b) v (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14439 is divided by 152?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -605469, -1210895, -1816337, -2421801, -3027293, -3632819?\n\"Answer: -s**3 - 2*s**2 - 605413*s - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 5*b + 13, -4*k = -3*b - 20 + 7. Let i be 200*(2\/k + 3). Round i to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/460 and 19\/20040.\nAnswer: 460920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -67956, -130005, -192054, -254103, -316152?\n\"Answer: -62049*v - 5907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 4:48 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 0 + 4\/5*j + 6\/5*j**2 + 2\/5*j**3 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1052 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bullpbbllsplllblull. Give prob of sequence slb.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - 10. Let w be (q\/10)\/((-10)\/50). Let f(o) = 8*o + 7. What are the prime factors of f(w)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(72) - 2*sqrt(72)))**2 - (sqrt(216)\/sqrt(192))\/sqrt(9).\nAnswer: -sqrt(2)\/4 + 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (1*-36)\/(-1). Let z = f - -97. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8695513 micrometers in millimeters?\nAnswer: 0.0008695513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 y when three letters picked without replacement from {r: 2, y: 7, n: 3, z: 3, f: 1, l: 3}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*y**2 + 9*y - 628699*y**3 + 628697*y**3 - 3*y**2 - 4 to the form x*y**2 + o + p*y**3 + j*y and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/1026 and 161\/4674.\nAnswer: 42066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/6 and 77\/404092.\nAnswer: 1212276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of 0*x**3 + 42*x**2 - 7*x - 19\/3*x**4 - 3. Differentiate j(s) with respect to s.\nAnswer: -152*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*((-51)\/5)\/17.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.84 - -0.16. What is the nearest to 1\/3 in z, -2\/13, -2\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1342*o + 2218*o = 1622*o + 35062 for o.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.1 - 0.9. Sort -0.1, i, -3\/5 in descending order.\nAnswer: -0.1, -3\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 179?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2193, 2254, 2339, 2448, 2581, 2738?\n\"Answer: 12*z**2 + 25*z + 2156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-112)\/18 - (-34 + 28). What is the nearest to 6 in -4, 3, h, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115 (base 6) to base 4\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 59 (b) -2.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2951 is divided by 146.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -382, 5, 652, -4, 39 in decreasing order.\nAnswer: 652, 39, 5, -4, -382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 15 = -l, -2*l = 3*z - 4*l - 9. Suppose 4*c = 4, 3*x + z*c = -c + 46. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.3 + -90.3. Let f = n + 78.7. Let s = -2 - -2.1. Which is the nearest to 1? (a) s (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68985980?\nAnswer: 2, 5, 7, 492757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 186 = -4*f, -r + 317 = 3*r + 3*f. Suppose 5*a + t - 42 = 108, 126 = 4*a + 2*t. Calculate the remainder when r is divided by a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 12:04 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 17 = -z - l, 62 = 4*z - 2*l. Let j(v) = 2*v + 3 + z*v - 6 - 4. Is j(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30200 + -30070. Calculate the smallest common multiple of 126 and c.\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b0 (base 12) to base 5\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 939485177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2 - 1 - 3*g**2 + 2*g**2 - 29*g. Suppose l - 5*y + 35 = 0, 4*y = -38*l + 43*l + 133. Is z(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2000 + -1994. Calculate the remainder when 441 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 121 + -97. Suppose g*u = 22*u + 4. Solve u*d - 8 = 2*k, 2*k - d - 4*d = -8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38770332?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -16*n - 6. Let v(k) be the first derivative of -11*k**2\/2 - 4*k - 209. Give -5*j(h) + 7*v(h).\nAnswer: 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 - 5560*m + 1545680.\nAnswer: 5*(m - 556)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -114*n. Let b(i) = 7412*i**2. What is b(o(j))?\nAnswer: 96326352*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 1470720?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1675 and 1315.\nAnswer: 440525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -4, -1, 4, -117 in ascending order.\nAnswer: -117, -4, -1, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 164*h**2 - 81*h - 59. What is the ten thousands digit of k(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*v**(-11))*v)\/v*v*v**(-4)*v**(-7)*v*v**(2\/13) assuming v is positive.\nAnswer: v**(41\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 11)*(2*i - 2*i - 2*i)*(-15 - 22 + 2)*(4 - i - 4)*(-5*i - i + 5*i).\nAnswer: -840*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 h when three letters picked without replacement from cchcccch.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26015990.\nAnswer: 2, 5, 7, 11, 13, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44371323?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 j when two letters picked without replacement from cochsscjjscyc.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 24*k**2 - 51*k - 20. Give x(26).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.5, 0.\nAnswer: -1, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times 23?\nAnswer: 1.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.6 - 1.8. Let b = 37635\/88 - 4692\/11. Sort 2\/5, b, p, 0.3 in descending order.\nAnswer: b, 2\/5, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**3*u)\/(u**(-3\/5)\/u)*(u\/(((u*u*u**(-3)*u*u)\/u)\/u*u))\/(u**(5\/2)\/u)*(u**1)**(6\/11)\/(u**(-4)*u*u**(-6)*u) assuming u is positive.\nAnswer: u**(1611\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of y**7\/14 + 5*y**6\/12 + y**5\/3 - 5*y**4\/3 + 13*y**2 + 39. Let k(l) be the second derivative of w(l). Factor k(h).\nAnswer: 5*h*(h + 2)**2*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 995179032 to the power of 1\/4, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 - 47 - (846 + -852)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q + 1. Let w(l) = l. Let p(f) = -6*f. Let i(m) = -3*p(m) - 21*w(m). Determine -3*i(o) + 2*u(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*j - 907 = -1009. Sort 364, j, -4.\nAnswer: -4, j, 364","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27328 divided by -149.\nAnswer: -27328\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from dqdqddqdddddqqddddd.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13\/3 - 8\/(-12). Suppose 2*z - 4*t + 3*t = 45, 0 = -u*z - 4*t + 145. Solve -7*s = -2*s + z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -4*c - 17 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15152?\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 3519\/6542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.295 times 104?\nAnswer: -1902.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451 is divided by 57?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {g: 5, c: 1, k: 5, w: 1}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 293 - 254. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-99)\/15)\/(-1) - 7)*5. Sort -0.5, s, 2\/5.\nAnswer: s, -0.5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2807*z + 8607 - 23304 = -2168*z for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 37, 14 in increasing order.\nAnswer: -1, 5, 14, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**3 - 28*k**2 - 30*k + 1. Let j be g(16). Let i = 547 - j. What is the highest common factor of i and 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3850006*s + 9. Let c be n(1). Suppose 2*v + 3*x - 1539985 = 0, -2*v + 7*v - 3*x = c. Round v to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**4\/a))**(-45)*(a\/a**(1\/5))\/a**(9\/5))**(-15\/2) assuming a is positive.\nAnswer: a**(-1335\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 4*t**2 - 2*t - 2. Let k be l(2). Suppose -3*z = -k - 16. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 - -1.2. Let b = 0.1 - o. Put -4, 5, b in increasing order.\nAnswer: -4, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 6515 = 5*n - 2*p, 6500 = 5*n - 2*p. What are the prime factors of n?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 minus 443485.28568?\nAnswer: -443583.28568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + q - 25 = 0, 4*p + 2*q = -910. Let f be p\/(-15) + 3\/(-9). Solve 5*i = -5 - f for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25344*q**4 + q**3 + 5*q + 2687300.\nAnswer: -101376*q**3 + 3*q**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -403003.744 rounded to the nearest ten?\nAnswer: -403000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulnillulinlii. Give prob of picking 1 n and 1 i.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 12, -4, 1\/7, 0.4, 2\/86903 in ascending order.\nAnswer: -4, 2\/86903, 1\/7, 0.4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 28 = 4*r, 3*n - 2*n + 16 = r. Suppose v = r*v - 55. Solve -o = -5*y - 2*o + v, 0 = -4*y - 3*o + 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/6*12\/8*21. What is the greatest common divisor of i and 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -165775305894.\nAnswer: -165775305903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 3) + -3 + -1 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58416\/(-32)*(2 + (-8)\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 736 and 138?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b*c*n + b*c + 2*b*n**2 + 7*c + n**2 - 10*n wrt n?\nAnswer: -2*b*c + 4*b*n + 2*n - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = 7*x. Suppose 2*h - 5699 - 3387 = -5*l, 2*l - h - 3638 = x. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/85*(-2)\/(-4)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 599992*j + 14445 - 14445.\nAnswer: 599992*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106 by 2695.\nAnswer: 106\/2695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89037559, 178075119, 267112679?\nAnswer: 356150239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 4*c - c)*(12*c - c + 0*c) + 3*c**2 - c + c + 28*c**2 - 18*c**2 - 14*c**2.\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -607537465.951 plus 5?\nAnswer: -607537460.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 211568.4, 0.5, -1\/2 in increasing order.\nAnswer: -1\/2, 0.5, 211568.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = -116*b + 34*b - 20. Let v = 0 - -1. Let m(a) = -2*a + 39*a**2 - v - 17*a**2 - 21*a**b. Give m(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 30. Let s = 582148 - 581670. Calculate the remainder when s is divided by g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15300 - 15300 - 551*m**2.\nAnswer: -551*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -2351, -6191, -11559, -18449, -26855?\nAnswer: -36771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -8*p - p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 0*w + 12000. Let p be (-12450)\/(5\/(w\/9)). Round p to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -163.63298 to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**3 - 5*j**2 + 2*j + 3. Suppose -3 + 12 = 3*m. What is the units digit of q(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 0, 1.2 in descending order.\nAnswer: 5, 1.2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.455 - -0.356597310343?\nAnswer: 0.811597310343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 5*n + 84. Let x be (-4)\/((-28)\/16 + 2). Let i be h(x). What is the greatest common divisor of 28 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (238*2\/8)\/((-2)\/(-4)) is divided by 57.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(((sqrt(114) - -1*sqrt(114) - sqrt(114))*3)\/sqrt(6) + 3))**2.\nAnswer: 450*sqrt(19) + 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11\/377 - 28685\/1131. Calculate the common denominator of -1 + (-190)\/56*-1 and r.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**3\/3 + 4*s**2 - s - 34. What is x(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*(sqrt(432)*-2 - sqrt(432))**2 + ((sqrt(42) - sqrt(42)*2 - sqrt(42))\/sqrt(7))\/(sqrt(2) + sqrt(800))).\nAnswer: -19440 + 2*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 20. Suppose p = l - 5. Suppose o - 2*b = 19, 4*o + 4*b = -0*o + 112. What is the highest common factor of o and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4*d - 11 - 9, 11 = -v + 3*d. Let j(a) = -8 - a + 2 - 3*a + v. What is the units digit of j(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 93?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 84763.02ml in litres?\nAnswer: 84.76302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16653*i**2 + 16656*i**2 - 49790*i**2 + 12*i**3 + 16481*i**2.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1094*i**2 - 131 + 3*i - 3*i - 549*i**2 - 544*i**2 to the form l*i**2 + g*i + c and give c.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 - 63. Let g be (120\/140)\/3*-14. Which is bigger: h or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/(-51)*120\/(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1740\/(-80) + 22)\/(8\/192*-237)?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 6*u - 6 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4549 divided by -1?\nAnswer: -4549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.6, -174\/7, -3\/2, -0.1 in descending order.\nAnswer: -0.1, -0.6, -3\/2, -5, -174\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z - 4*z - 55 + 55. Let v(q) be the second derivative of 5*q**4\/12 - 2*q. What is v(f(s))?\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*3.9844\nAnswer: 1.59376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-11 - -26) - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**4\/60 - y**3\/5 - 4*y**2\/5 - 31*y + 51. Let g(s) be the first derivative of h(s). Factor g(d).\nAnswer: -(d + 2)*(d + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 k when two letters picked without replacement from {k: 2, w: 7, r: 2, b: 7, y: 1}.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 509363 - 226218. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 106?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 40 = -9*p. Are -9 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -851203857 divided by -121600551?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c + 14. Determine x(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 64073064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525088.\nAnswer: 2, 61, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*z + 18 = 0. Let y(t) = -t**3 + 10*t**2 - 8*t - 12. Let q be y(z). Sort -5, 0, q.\nAnswer: -5, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 16*a + 7. Give c(-7).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 880000 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.1 + 7.1. Let r = 0.4 - 2. Let o = r - y. Which is the third biggest value? (a) -1\/4 (b) 2\/9 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17593646709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -10*u**2 - 429*u - 36. Calculate the lowest common multiple of 22 and o(-40).\nAnswer: 12364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 1. Let v = -41 + r. Find the common denominator of 87\/2 and 15\/(-6)*v\/25.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -p - 36, 3*z - 25 = -10*p + 39 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 9:20 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 806619 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/10*(-10)\/4*1\/(-116).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(12\/((-1)\/(12\/(-16))))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**4 - z**4 + 5*z**4)*(-7 - 5*z - 12*z + 16*z).\nAnswer: -z**5 - 7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 2. Let n be 2\/40*8 + 6\/10. Suppose -n - 21 = -2*d - 2*z, -4*d + 44 = 3*z. Solve -y = -5*w + d for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 342684 times 10.54\nAnswer: 3611889.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + v + 1 - 2 = 0, -7 = p + 2*v. Suppose 0 = 3*j - 5*g - 1252, 4*j - p*g - 1681 = -8. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 2*k - 3. Let p be f(-4). Let r = p - -55\/2. Let q = -246 - -2708\/11. What is the third biggest value in -0.5, q, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/4 - 13689*y**2 - 27377*y.\nAnswer: -y*(y + 2)*(y + 54754)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 118828*u - 3088176.\nAnswer: -2*(u + 26)*(u + 59388)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 5 + 29. Let v be (2\/(-3))\/((-6)\/27). Suppose 2*i - 4 = 0, 4*n - 39 - v = -5*i. Calculate the smallest common multiple of w and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 8*a**2 + 10*a + 23. Give d(9).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 6 - (-7)\/((-14)\/(-12)). Solve -q*a + 0 = -2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347\/7 <= 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q - 35. Let c be t(0). Let s = c + 40. Suppose s*h - 77004 = w + w, 3*h - 3*w - 46206 = 0. What is h rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8685 + -5420. List the prime factors of i.\nAnswer: 5, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 1101*s + 31 - 16 - 14 to the form z*s + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**7\/v*v\/((v**(-3)\/v)\/v*v))\/(v*v*v**0)**27 assuming v is positive.\nAnswer: v**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*a + 0*a + 72 = 0, 4*a + 41 = 3*b. Suppose -b*i + 169 = -56. Put i, 1, -2, -3 in decreasing order.\nAnswer: i, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -i - 4*i - 552623, -276316 = -c + i. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 229285637\/33 - 6950897. Let h = b - -2848. Let m = -664\/369 + -11\/123. What is the common denominator of m and h?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 6 + (-2 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**2 + 5*y + 77 - y**4 - y - 3*y**2 - y**3 - 79 in the form b*y**4 + a*y**3 + z*y + p + x*y**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 2)\/8 - 18\/(-4). Solve p - j = -1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**2\/5 - 70518*q - 1057743\/5 = 0 for q.\nAnswer: -117527, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 878?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14662 + -14340. Calculate the remainder when f is divided by 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 13*k**2 - k - 9. Let r be i(-13). Suppose -4*a + o = -9, a - 6*a = -r*o - 14. Factor 2\/5 - 2\/5*z**2 + 2*z**3 - a*z.\nAnswer: 2*(z - 1)*(z + 1)*(5*z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -5*y**4\/12 + 7*y**3\/3 + 175*y**2\/2 - 7*y - 2. Let x(g) = 9*g**2 - 30*g - 349. Let l(q) = -11*s(q) - 6*x(q). Solve l(m) = 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 11. Suppose 3*a - 116 = 5*i - 502, a - x = 0. Suppose -2*o + 55 = -i. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 866880 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.1143 rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, -1.4, 2\/5, -56487?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-7)*(-2457)\/468. Calculate the highest common divisor of k and 2202.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + w - 2)*(0*w + 0*w + w) + w**2 - 3 + 3 - 2*w**2 - 6*w**2 + 2*w**2 + (-2*w - 2 + 2)*(w - 2*w + 0*w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-7\/3)*d\/d**(-1\/3)*d)\/(d*d*(d*d*d**(-5))\/d)**(-36) assuming d is positive.\nAnswer: d**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4))**(-20) assuming m is positive.\nAnswer: m**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 713738.\nAnswer: 2, 356869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*j**3 + 30*j**2 + 2*j + 1 + 12*j**3 - 3*j**3 - 2*j - j to g + q*j**2 + u*j + f*j**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2 - 1. Suppose 3*s + 0*s - 24 = -i, -w*s = -i. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25536.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379256427?\nAnswer: 3, 11, 281, 13633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -72 and -68644977747.\nAnswer: -68644977819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 12*t. Let u(m) = m. What is u(c(f))?\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, 7, 73, 167, 289?\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -208117 (base 11) to base 15\nAnswer: -68979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*g**3 - 102655*g**2 + 11406*g.\nAnswer: g*(g - 11406)*(9*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j**2 - 22*j - 12. Calculate z(-7).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 1079959?\nAnswer: 1\/1079959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b - b?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 49.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/1081665 and -47\/117?\nAnswer: 1081665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 + b**4 + 3*b**4 - 5*b**4 + 0*b**4 - 4 + 4 - 2*b**4 + (2 + 2*b**3 - 2)*(-4*b + 3*b - b) + 19*b**4 + 19*b**2 - 19*b**2.\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + o + 29. Let j be x(-4). Suppose -d = 7 - j. Solve 0 = -3*k + 6, 0 = f + d*f + k - 17 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 30. Let b(r) = 0*r - 2*r + 8*r - r + y. Give b(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 r, 1 n, and 1 o when four letters picked without replacement from {o: 2, c: 2, g: 1, r: 1, n: 1, x: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -l, 0*l - 3 = -l - 2*y. Suppose -9 + l = -f. Find the third derivative of 3*w**5 + 8 - f + 4*w**2 wrt w.\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**3*m**3 + b**3*s + 904*b**3 - m**3*s with respect to s.\nAnswer: b**3 - m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d + 83. Let z be f(-20). Suppose -11 = -n + z. Let w(b) = -3*b + 9. Let y be w(0). Is y greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(95) + sqrt(95)*-1)*-3)\/(sqrt(15)\/(sqrt(75) - -1*sqrt(75))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11203 + 100?\nAnswer: 11303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-3 + 0 + 2) - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*d = -105*d + 7381. Calculate the remainder when 2902 is divided by d.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 2 - 2) + 0 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -167, -333, -499, -665, -831?\n\"Answer: -166*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3780?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4524 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p + 21. Calculate d(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 11:23 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cau when three letters picked without replacement from uauffccfcf?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -138.682 + 167.83. Let w = -29 + o. Let n = w + -0.11. What is n rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3383 + -8?\nAnswer: 3375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/11550 and 46\/147.\nAnswer: 80850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 8192561227?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 479*a**6 - 2*a**2 + 415*a**6 - 3*a - 123*a**6 + 17*a + 79*a**6 wrt a?\nAnswer: 102000*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3534526211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -7*p**3 + 2*p**2 + 4*p + 3. What is the remainder when r(-2) is divided by (3\/2*-1)\/((-168)\/2240)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14896561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b**2 - 1. Let d be x(1). Solve -d*c - 13 = -4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-240)\/9*9\/6. What is the units digit of 7\/(1*(-5)\/n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/42)\/((-222)\/666)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1236 by 58.\nAnswer: 618\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -1\/280*r**7 + 1\/1344*r**8 + 0*r + 1\/60*r**5 - 17*r**2 + 0 + 0*r**3 + 0*r**6 + 0*r**4. Factor x(n).\nAnswer: n**2*(n - 2)**2*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (67\/((-3752)\/64))\/(16\/(-2))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + 0.38. Let u = 0.62 + p. Let h = 3.7 - u. Which is the closest to h? (a) -1\/3 (b) -1 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1756964 and 20075.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lluuapz. What is prob of picking 1 z and 2 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3705\/296 - -33\/37. What is the common denominator of w and 17\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1837*q - 43804 - 77119 = -32747 for q.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t + 2. Suppose s + 3*s - 68 = 0. Let b = s - -3. Suppose 8*l - 3*l - b = 0. Give r(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1131 is divided by 302.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(600))\/(sqrt(84)\/sqrt(7)).\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 32, 37, 44, 53?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*o = 9714 - 7305 for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 23, 30, 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 + 2*s + 1. Let b be l(-2). Suppose -3*j = 2*j - 15. Suppose 6*c + b*g = 3*c + 4, 11 = j*c - 2*g. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 6*x + 1. Let n be s(0). Let v be (n\/(-3))\/(12\/108). What is the third biggest value in -9\/7, 0.2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -13*u**4\/12 + 5*u**3\/6 + 215*u**2\/2 - 2*u + 42. Differentiate o(z) wrt z.\nAnswer: -26*z + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 4*n**2 - 21*n - 4. Determine r(-6).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2911, 5827, 8753, 11695, 14659, 17651?\n\"Answer: s**3 - s**2 + 2912*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8045 + -5545. What is the greatest common factor of a and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28098*k + 28098*k + 1004 + 3*k**2)*(-61*k + 4*k - 31*k) in the form b*k + t*k**2 + x + v*k**3 and give b.\nAnswer: -88352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8342750, 8342755, 8342766, 8342783, 8342806, 8342835, 8342870?\n\"Answer: 3*o**2 - 4*o + 8342751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 138825 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833)*-1 + 3 + sqrt(833)*-2 + -4 - (2 + 0 + (sqrt(833) - (sqrt(833) - (sqrt(833) - -4*sqrt(833)))))**2)*5.\nAnswer: -104150 - 805*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2609\/17 - 127051\/816. Find the common denominator of 59\/18 and g.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g**2 - g - g**3 + 8*g - 9 + g + 6. Calculate the remainder when 34 is divided by k(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*j)*(-5 + 1 + 2)*(2 - 3 + 3).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 8*i + 8. Let p be t(-6). Suppose 0 = -0*z - 4*z - p. Let l be (1*-4)\/(12\/(-9)). Which is the biggest value? (a) -2\/7 (b) l (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 38\/24 - 55\/44. What is the second biggest value in n, 2\/7, -5, 3\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.4 + -20. Let q = 6.28 - 0.18. Let f = -6 + q. What is the third biggest value in 3\/4, f, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/((-225)\/(-195)))\/(77\/33)*(-7)\/2.\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43697792*g**2 + 58319*g + 57 wrt g.\nAnswer: -87395584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*w + 8 = -3*w, -2*g - 2*w = 0. Let r = -109 + 112. Let n be 3*r\/(-18)*2. What is the second biggest value in 0.06, n, g?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 937447362?\nAnswer: 2, 3, 443, 117563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/7 - 8*r\/7.\nAnswer: 2*r*(r - 2)*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -9*k - 14. Let d(m) = -26*m - 44. What is 6*d(u) - 17*r(u)?\nAnswer: -3*u - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand t + 2*t - 5*t + (2 - 1 - 2)*(0*t - t + 2*t) - 2 - 117*t + 173*t + 3.\nAnswer: 53*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1323657281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -7*j**2. Let v(q) = 98*q + 7. Let s(g) = 26*g + 2. Let b(c) = -22*s(c) + 6*v(c). Determine m(b(k)).\nAnswer: -1792*k**2 + 448*k - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 96*l - 468. Let q be n(5). Solve 5*j - 3*t + 25 = 0, -j - 2*t - q = -4*t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 - 45.4. Let c = -12 - -11.3. Let i = -0.6 - c. Which is greater: i or m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-20)*h*h*h*h\/(((h**(2\/3)\/h)\/h)\/h)*((h\/((h**(-13)\/h)\/h))\/h)\/h**(-15) assuming h is positive.\nAnswer: h**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -136*o**3 + o**2 + 4*o + 3. Is y(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -5. Suppose i*o - 4 = -0. Find the first derivative of -4 - 2*s**2 + 3 + s**o wrt s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 13282.\nAnswer: 13287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 101451*y - 61 - 50720*y - 50728*y. Determine s(15).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3822c (base 13) in base 15?\nAnswer: 20a90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 7*l**5\/120 + 2*l**3\/3 + 3. Let h(u) be the third derivative of i(u). Let m(d) = d - 2*d - 6*d + 9*d. What is m(h(z))?\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2. Let y(h) = 0 + 183*h - 175*h + 4. Let v(r) = -1. Let m(z) = 4*v(z) + y(z). Give m(u(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1044003244 (base 5) to base 10\nAnswer: -2328574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -182395 and 0.3.\nAnswer: -54718.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*v**4 - 4*v**3 + 3*v**3 + 2 - 3 - 3*v**4 to b*v + f + t*v**2 + y*v**3 + z*v**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - 38 - (-2 + -12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 - -553\/12. Let t(f) be the second derivative of -2*f - 1\/3*f**3 + x*f**4 + 0*f**2 + 0. Find the second derivative of t(b) wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2303002.\nAnswer: 2, 13, 101, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 divided by 81?\nAnswer: 145\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -2.03 (c) 0.5 (d) -40 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k - 1. Let j be v(-2). Let y be (-2)\/4 + (-2)\/(-8). Let i = 178 + -892\/5. Which is the closest to j? (a) y (b) 0.1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8928888 divided by -6\nAnswer: 1488148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1893 or 1913?\nAnswer: 1913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -151.81 * -2\nAnswer: 303.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 3*m + 7. Let o be v(-4). Let i be 312\/22 + (-2)\/o. Let k be (i\/6 + -2)*(5 - -16). Is k at most as big as 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7818, -31372, -70628, -125586, -196246, -282608, -384672?\n\"Answer: -7851*f**2 - f + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.30465498 rounded to four decimal places?\nAnswer: -1.3047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**4 + 2*o**5 + o**4 + o**4 + (2*o - 2*o + 2*o**2)*(-26422*o - 485*o**3 + 26422*o).\nAnswer: -968*o**5 + 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 981150463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 30752 + -3810?\nAnswer: 25842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 22872784 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 69*-76881\nAnswer: -5304789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 6*t + 2. Let w(y) = 1787*y - 7152. Let b be w(4). Determine k(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-58)\/928*16)\/(1*(-3)\/129).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 315, 304 in increasing order.\nAnswer: 9, 304, 315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36223?\nAnswer: 11, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 - 70. What is the second smallest value in s, 0.2, 0.075?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 252 - -3?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5*o**2. Let b = -330 - -561. Let d(w) = -b + 231 + 8*w**2. Determine h(d(y)).\nAnswer: 320*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47 and 1050536527.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -213.2181833 rounded to 1 dp?\nAnswer: -213.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4083372571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 31 = -4. Let d(u) = 48*u**2 - 46*u**2 - 4 + 1 + u. Let a(g) = 3*g**2 + 2*g - 7. Let q(n) = f*d(n) + 3*a(n). Calculate q(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than 3.668?\nAnswer: 1.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f = -435 - 3660. Let h = f + -269. Solve 0 - h = 2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -1346098?\nAnswer: 1346097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31981*s - 63935*s + 1 + 31978*s.\nAnswer: 24*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.718073 and 0.4?\nAnswer: 0.2872292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2415 divided by 805.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 121\/9?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 10 = -2*n, -4*a - 6*n + 758 = 0. Calculate the remainder when a is divided by 82.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 255, -14\/11, 0.09, 0?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 21*t + 36. Let n(o) = -o + 16. Let m be n(-4). What is the remainder when r(m) is divided by (-28)\/(-6)*3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**3 - 2*s - 3 - 202000*s**2 - 1 - 2*s**3 + 202003*s**2 - 10*s**4 + 9*s**3 as n*s**4 + w*s + r*s**2 + v + x*s**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-8) - 1308\/(-16). Let v = n - 491\/6. Let f = -903\/2 - -4511\/10. What is the second smallest value in f, 3\/4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 1 = j, -3*y - 1 + 3 = -2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 2*o**2 - 16*o - 2. Determine j(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4\/7 (b) 4 (c) 3 (d) 186\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 56\/24)*(-1 + 7). Suppose -q*w - 5 - 3 = 0, 0 = x - 5*w - 23. Solve -2*f - x + 11 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14462 = -3026*k + 44722 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63865800 and 3600.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmyy when four letters picked without replacement from {m: 10, d: 2, y: 2}?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -28*a**3 + 5*a**2 - 5*a + 5. Let l(o) = -o**3 + o**2 - o + 1. Give j(g) - 5*l(g).\nAnswer: -23*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 16278*p - 23 = -16277*p, -6*p = -102. Suppose -3*d + 6 = 4*g, 2*d = d - 2. Sort -4, a, 0, g in ascending order.\nAnswer: -4, 0, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16364 (base 7) to base 15.\nAnswer: -15a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32751 - 110294 = -61*l. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/7 - 5367*t**2\/7 - 2397705*t\/7 + 2403075\/7.\nAnswer: -3*(t - 1)*(t + 895)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02909, -4, 1, -2 in increasing order.\nAnswer: -4, -2, 0.02909, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*s + s - 31 = 0, -r = 4*s - 24. Sort 0, -0.4, 0.2, r in ascending order.\nAnswer: -0.4, 0, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*1\/(-11)*28*19\/399.\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c*c**(-25)\/c)\/c))\/c**(-11))**(-48) assuming c is positive.\nAnswer: c**(-1824)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**2\/6 + f\/6 + 1\/3 = 0. Calculate f.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5757.715t in nanograms?\nAnswer: 5757715000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -10. Suppose p = -2*v + 8. Solve -v*o - z = 1, 3*z - 2 = 2*o + 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 - 9*m + 96. What is d(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 57 = -207. Is 6609\/((h\/(-16))\/(-11)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h + 7 = -29 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2229723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.982 * 0.0259.\nAnswer: 0.0254338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51 and 15902403.\nAnswer: 270340851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-13)\/m*m*m**(-3\/4) assuming m is positive.\nAnswer: m**(-55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**4\/24 + c**3\/6 - 25*c**2. Suppose 4*r + 0*r = 0. Suppose r = -3*h - 0*h + 12. Determine t(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21130152 divided by 8.\nAnswer: 2641269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4352?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -1 + sqrt(363) - -3*sqrt(363)*-2) + 4 + sqrt(243)*-1 + 3 + sqrt(243) + -2)**2.\nAnswer: -880*sqrt(3) + 9139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(4) - 2*sqrt(4)*-2) + -5.\nAnswer: -5 + sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29592 and 196458.\nAnswer: 7072488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 31*l**2 - 59*l + 31. Let x be o(29). Find the third derivative of -5994*a**2 - 29*a**4 - 4*a**6 + 6*a**6 + 6278*a**x wrt a.\nAnswer: 240*a**3 - 696*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 0*g - 6*g + 109*g**2 - 110*g**2 - 9 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y + 11. Let w(b) = -2*b + 7. Let c(s) = 5*l(s) - 8*w(s). Let j be (7\/1 - (1 + 1))*(-205)\/1025. Let q(m) = -5*m + 5. Calculate j*q(u) - 6*c(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.04 (b) -1.3 (c) -2 (d) -5 (e) 5 (f) 0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**6\/600 + c**5\/300 + 5*c**2. Factor o(p).\nAnswer: p**2*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6560 + 6564. Solve -14*q = 2*f - 12*q - 4, -4*f + 16 = -g*q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12168 divided by 36.\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -91 + -1541590?\nAnswer: -1541681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 5*k - 3, 4*k = 5*s - 15. Solve s*m + 2*i - 5 = 0, -2*m - 2*i - 2 = -6*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 6:35 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -72, -1, 5 in decreasing order.\nAnswer: 5, -1, -4, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**3\/2 - 9606*c**2 - 3594965*c\/2 + 3633393 = 0.\nAnswer: -19023, -191, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 1 - 1)*(2*g + 0*g + 0*g)*(-2*g - 2*g - g).\nAnswer: -100*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert c93 (base 15) to base 14.\nAnswer: 106a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c + 23. Let h be (-26)\/3 - 78\/(-117). Determine n(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 41, 66, 93, 122, 153?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2382203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*y = -9*z + 123, 2*y + 50 = 2*z. Let c = z - 35. Let t(d) = -4*d - 18. Is 10 a factor of t(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 591 - 17*a**2 - 46 - 272 - 274.\nAnswer: -17*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.093700005 rounded to three dps?\nAnswer: 0.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*b + 63*b - 24 = 0. Suppose 3*y - 8*y + 256 = b*m, -y - 5*m = -42. What is the greatest common factor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (132\/(-230) + (-4)\/(-10))\/(40\/(-60))\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m + 1. Let w = -63 + 69. Let o = 5 - w. Let j(y) = -7*y + 2. Calculate o*j(v) + 2*b(v).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3611674 is divided by 1886.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 205*v**2 + 632*v + 590. What is the derivative of w(n) wrt n?\nAnswer: 410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/14 in -2\/3, 1.3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmlmmmmk. Give prob of sequence lkmm.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -x**8\/392 + x**7\/735 + x**6\/210 + 9*x**2. Find o such that a(o) = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1183 - -1.1183. Let s = 1016\/5 - 204. What is the third smallest value in 1\/2, l, -3\/5, s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-6)\/(-80))\/(-3*(-90)\/(-1062)) and -7\/900?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3251122 tonnes in nanograms?\nAnswer: 325112200000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*c - 81. Let o = -26 + c. Calculate the remainder when (-6)\/o*(-276)\/(-18) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66470 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttccdzzdc. Give prob of picking 1 d and 2 c.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -5 + sqrt(76) + (sqrt(190) + -5*(sqrt(190) + 1*sqrt(190) + sqrt(190)) + sqrt(190))\/sqrt(10))*-2)**2.\nAnswer: 88*sqrt(19) + 9200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 15*n - 23. What is v(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -192 - -962\/5. Factor -2\/5 + 2\/5*v**2 - h*v**3 + 2\/5*v.\nAnswer: -2*(v - 1)**2*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 4)\/(2*2). Suppose y = -8*j + 2 - 18. Put 4, j, 1 in descending order.\nAnswer: 4, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-3 - 4) + -3 + 3 - -8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = 14*w + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 3. Let x = 0.2 - 0. Let h = -0.3 + x. Which is greater: g or h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -3162?\nAnswer: 3157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 6:54 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 12*i**2 + 2*i - 5. Let l(t) be the third derivative of 3*t**5\/10 + t**4\/8 - 4*t**3\/3 + 5*t**2. Let j(f) = 8*k(f) - 5*l(f). Calculate j(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 3:18 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2585.9778 - -2453.94811. Let o = -133.73 - p. Let q = o - -1.7. What is q rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 874 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -6*b + 29. Let y(i) = 7*i - 29. Let o(g) = 6*h(g) + 5*y(g). What is the units digit of o(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 73 - ((-96)\/12 - -7) and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 9*z = 2*r - 3, 5*r - 2*z = 24 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 264767?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1937450?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -290, -468, -766, -1184?\nAnswer: -1722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*d + 5180 - 1400. Let p be 8\/(-84) - 3231\/d. Solve 5*a + p = b, a + 2*a + 2*b + 18 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -4*x**2\/9 - 6584*x\/9 - 2709316\/9 = 0.\nAnswer: -823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (60\/30)\/((-2)\/2536). Let l = 1470 + h. Let a = -617 - l. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/17820 and 79\/13860?\nAnswer: 124740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m + 23*m + 31*m + 9*m to k*m + f and give k.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.27130483*3\nAnswer: 0.81391449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3364 and 114.\nAnswer: 191748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86\/8*(-10)\/((-1)\/(44\/(-110))).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + (-4*(-2 + sqrt(1584)))**2).\nAnswer: -3072*sqrt(11) + 101640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172, 339, 506, 673, 840, 1007?\nAnswer: 1174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -251, -982, -2205, -3926, -6151, -8886, -12137, -15910?\nAnswer: -20211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 179306 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42739 is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/24534 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11833090267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 4 = -2*q, 8*z - 24 - 17 = -5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 4:38 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1370510469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (344\/(-10) + (26 - -9))\/(2*(-9)\/(-40)). Let 92\/3*n**2 + 32\/3*n - i*n**3 - 76\/3*n**4 - 28\/3*n**5 - 16\/3 = 0. Calculate n.\nAnswer: -2, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -646, -2, -5, -3, 10 in ascending order.\nAnswer: -646, -5, -3, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15915 + 16175. What is the highest common divisor of p and 11570?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*z - 36 + 312. What is the remainder when 19 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -1) + -36 + 23 + 5.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - (4\/12)\/(2\/36). What is the tens digit of (4 + g)\/(4*2\/144)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 5*i - 383, 5*u = 4*u + 5*i + 121. Let z(g) = -g**2 + 44. Let t be z(0). Suppose t = -3*h + u. Calculate the remainder when h is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 494819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**5\/9 - 111536*s**4\/3 + 13994979572*s**3\/9 + 9331659448*s**2\/3 - 153948121654*s\/9 - 55982595272\/3 = 0. Calculate s.\nAnswer: -4, -1, 3, 83653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -20*a**2 + 3*a - 3. Let o be b(1). Let u(k) = -4*k - 22. Let c be u(o). Let y = -22 + c. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.09 + 0.11. Let d = 7.98 + u. Let l = -8.3 + d. What is the nearest to 0 in -1, l, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g**2 + 12*g + 5*g - 27*g + 9*g.\nAnswer: 9*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifteen quarters of a millimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27690049957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 8*y**2 - 8*y + 1. Let s be x(9). Suppose -d - s = -3*d. Solve 2\/3*i**3 - 2\/9*i**2 + 0*i + 2\/9*i**d - 2\/3*i**4 + 0 = 0 for i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.52 (b) 0.05 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11\/105 + 2\/21. Let p = 0.03 + 9.97. Let i = 6 - p. What is the nearest to 2 in g, 1\/2, i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 45267268 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 3*z - 35 + 10, -5*s - 5 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 4365?\nAnswer: 17460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 183 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-12) + (-14)\/(-8). Suppose 0 = y*k - 6. Suppose k*r = r. Solve r + 3 = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011122112122 (base 3) to base 16.\nAnswer: 98171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15214 times 0.3?\nAnswer: 4564.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/29 (b) 7 (c) 4\/9 (d) -9\/140\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/291 + -299\/1164. Suppose -3 = -f + y - 4, 3*y = -4*f - 18. Put f, -5, p, 3 in increasing order.\nAnswer: -5, f, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -456817061*k**2 - 740151740*k + 2 wrt k?\nAnswer: -913634122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*r - 4487 + 516. What are the prime factors of r?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6893193.4 and 46374.\nAnswer: 6939567.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddoddooodoood. What is prob of picking 1 d and 1 o?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 5. Suppose 5 = 3*f - 1. Solve f*t = -g*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7823 + -3283. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -j + 9, 0 = -4*j + 94*h - 92*h + 86 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00109958 to 6 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -493 = -5*l + 37. Let z = -114 + l. Let b be (2*4\/(-32))\/((-7)\/z). Is b equal to -77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1043191 less than -1043195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(128) + sqrt(32).\nAnswer: -1 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5\/6 + 7\/6. Put 2\/19, 5, p in descending order.\nAnswer: 5, p, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 2\/5 (c) 0.45 (d) 0.2 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 49*k**3 - 5*k**2 - 2*k + 6. Let j be g(2). Suppose 0 = 2*o - 4*h - j, -129 - 62 = -o - 2*h. Calculate the remainder when o is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*((-1 + sqrt(1008))*3 + -2) + 4)*-5)**2.\nAnswer: -189000*sqrt(7) + 5681025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 2*b - 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54157501, -54157503, -54157507, -54157513, -54157521, -54157531, -54157543?\nAnswer: -54157557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*o**2*s**2 + 1214*o**2 + 2*o - 211*s**2 + 4 wrt s?\nAnswer: 34*o**2*s - 422*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - 1516\/(8 - 6). Let a = 763 + b. Solve 0 = -4*p - 5*c - 1 + 13, 4*c = 3*p - a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 114*l - 5 = 110*l, -3*u - 4*l = 13 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 3:09 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 99784\/5 - 19957. Which is bigger: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + 9 + 4 - (-45 + -50)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -33 + 15 - -30.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4401, 3250, 2099, 948?\n\"Answer: -1151*q + 5552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 4) to base 6.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.57515mg to micrograms.\nAnswer: 14575.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 3*h - 7. Let o be c(-5). Suppose -2*u + 0 + 73 = -o*t, 2*t + 35 = u. List the prime factors of u.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -17*n - 3. Let w(g) = -19*g - 4. Let b(z) = 3*i(z) - 2*w(z). Give b(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 u when three letters picked without replacement from {d: 3, o: 8, c: 2, u: 7}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 256*n - 1. Let g be p(-4). Find the common denominator of (2\/(-5))\/((-40)\/g) and 15\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4*f + 2*f - f)*(2 - 3 + 2) + (3 + 0 - 4)*(-3*f - f - 2*f))*(2*f**3 - 10*f**3 + 0*f**3) in the form p*f**3 + b*f + v*f**4 + h*f**2 + k and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-35) - 14\/98?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 23, -2, -43, -100, -173, -262?\n\"Answer: -8*t**2 - t + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*11\/(-66)*(-1)\/(3\/(-45))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r**2 + 2*r - 2. Let h be g(-3). Let m = -20 + h. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*o**2 + 4*o**2 + 10*o**2 - o**2.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4) - (-2)\/(-4). Suppose t*m = -m + 2. Is (m + -5)\/(-1 + 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 217 + 154 + -405 - (1 + 13).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -7. Suppose 4*h + v = 3*l, 0*l - 3*l = h - 13. Solve -l*u = -7*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -17*h**2 - 23*h + 134. Let o(y) = 31*y**2 + 41*y - 241. Calculate 25*n(b) + 14*o(b).\nAnswer: 9*b**2 - b - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*o - 23 = -s, -26 = 3*s - 4*o. Let n be s\/7*(-240)\/288. Do -1 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 53\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + i - 13 = 0, 2*l - 3*i = 19 - 14 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 128 - 6. Let d = 213 - c. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10, -35, -152, -377, -746, -1295, -2060, -3077?\n\"Answer: -6*o**3 - 3*o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**2 + 6*t. Let v(m) = -9*m**2 + 13*m. Let p(i) = -13*a(i) + 6*v(i). Let j(n) = n + 2*n - 5*n. Give j(p(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - 10 - (1 + -10)) + 4?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 127462781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.106 - -4.106. What is the nearest to -1 in -1\/5, x, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 11)*759\/(-1449)?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27086508.9 to the nearest 1000000.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 7:30 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -26. What is the third biggest value in -4\/3, 4\/9, a?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**15*d\/d**(-12))**(-39) assuming d is positive.\nAnswer: d**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -228 - -232. Let a be w\/(-56)*-7*(1 + -1). Solve -n + 6*n = a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -42*t + 43*t - 5*s, 3*t - 2*s = 5*s + 77 for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-45)\/(-18)*168\/20. Calculate the highest common divisor of 133 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 9*y**2 + 4*y + 8. Calculate u(8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g**2 - 2*g - 1. Let m be d(-1). Let v = 1368 + -1373. Which is bigger: m or v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(4) + sqrt(16)\/sqrt(4)) + 4.\nAnswer: sqrt(13)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 156*u = -780. Let a(j) be the third derivative of 0*j + 1\/105*j**7 + 0 + 0*j**4 + 0*j**u + 30*j**2 + 1\/60*j**6 + 0*j**3. Factor a(n).\nAnswer: 2*n**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136636560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) 19926 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(2\/26 - 0). Suppose 4*u + 24 = s, 0 = -2*s + 19*u - 20*u + 3. Suppose -s*i + 45 + z = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 73*f**3 + 6859*f**2 - 295*f + 71. Calculate c(-94).\nAnswer: 1293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10416 by -8.\nAnswer: -1302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 561583.7 micrograms?\nAnswer: 561583700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**3\/3 + 4. Let y(i) = -7*i**2 + 2*i + 1. What is -6*m(u) - y(u)?\nAnswer: u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 114\/30)*-15*(-3)\/18.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b - 3. Let s be j(-1). Let d = 2 + 1. Solve h + s = d for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -5, 154, -361, -0.8?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**7\/84 + 2*j**6\/15 - 5*j**5\/8 + 19*j**4\/12 - 7*j**3\/3 + 2*j**2 - 20*j. Factor m(t).\nAnswer: -(t - 2)**3*(t - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52.88 - 53. Let u = v - -0.120045. Round u to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 318*l**2 - 318*l**2 + 69*l**5 + (-2 - 4 + 5)*(-2*l**5 + 2*l**5 + 2*l**5).\nAnswer: 67*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*l - 306 = 4*m, -2*l = 2*m - 612. What is the highest common divisor of 36 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -7. Let -r**5 - 2*r**4 + 4*r**u - r**3 - 4*r**5 = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5292\/(-532) + (-2)\/38.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/4 of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1*2\/12*1\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 716 is divided by 177?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8166.731 years?\nAnswer: 8.166731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a day?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18.3 - 0.7. Let j = -4 + w. Let q = 22.9999978 + j. What is q rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11872 divided by 742.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4\/5, -0.5, -7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-7)\/((s*s**(-4)\/s*s)\/s*s))\/(s*s**(1\/4)*s*s\/(s*(s\/s**(-1\/4))\/s)) assuming s is positive.\nAnswer: s**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-144)\/(-6))\/6*-2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 437 + ((-27)\/36 - 1\/4). Suppose -z = -2*t - 124. What are the prime factors of t?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -20, -72, -156, -278, -444?\nAnswer: -660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112226?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/9*(-576)\/1280)\/((-2)\/6)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*d**2 + 9273*d + 2 - 9271*d + 57*d**2 as j*d + a*d**2 + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 190881 to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times 43108?\nAnswer: -517296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/600 and -55\/54?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6338175?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 257117137.000278 - 257117404. Let w = -267 - a. What is w rounded to 5 dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) -1\/5 (c) -2\/11 (d) -5\/4 (e) 15\/38 (f) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 776511233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 685*p - 2065. What is x(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 8556.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 32. Suppose 5*z = 2*w + 15, -2*z + 7*z + 2*w = g. Suppose 7*u - u**3 + z*u**2 - u**2 - 4*u = 0. Calculate u.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + -3. Let k(p) = p + 2. What is k(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -h + 7*p, -2*h + 3*p = -3. Suppose -3*y + 69 = h*i, 15 = -2*i + 3*i + 3*y. What is the greatest common factor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13183 and 2020.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 8:37 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2814*r + 97124*r + 1321495*r.\nAnswer: 1415805*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7899192 divided by 49.\nAnswer: -161208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 3*g - 341. Suppose 25 = 17*f - g. Let m(r) = -r**3 + 9*r**2 + 10*r. Give m(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g - 6. Let q be (11 - 2) + -1 + -4. Determine j(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1))**(-3)*(k*k*k\/k**(1\/3)*k)**(-2\/29)*((k*(k**2\/k)\/k)\/k)\/k**6*(k\/((k*k\/k**(-5))\/k))\/k**(-2\/3) assuming k is positive.\nAnswer: k**(-307\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521495.\nAnswer: 5, 13, 71, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 1. Let g be q(5). Let h be ((-2)\/g)\/(4\/24). Suppose 384 = h*w + 2*w + 4*j, 2*j - 286 = -3*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -69\/2*n**3 - 3\/2*n**5 + 0 - 18*n - 42*n**2 - 12*n**4 = 0. Calculate n.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 20 = 4*y. Solve -y*v + 3 = -d - v, 0 = -2*d + 5*v - 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + l**2 + 2*l + 1. Let u be k(-2). Let m(a) = -201*a**2 - 1406*a + 11. Let w be m(-7). What is the units digit of w - (u\/(14\/(-468)))\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 18\/9)\/(-1*22)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 385579946 to the nearest integer?\nAnswer: 19636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w**3 - 6*w**2 + 14*w - 4. What is the units digit of d(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 6*d = -5*x + 45177, 4*d = 4*x - 36156. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/42*(-37 + 1\/1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.07 - -0.05. Let p = a + 0.0199904. Round p to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, -2, 5, -0.34?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 9301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -29 - -33 - (-23)\/(-5). Put 0.5, g, 2, -1\/6 in descending order.\nAnswer: 2, 0.5, -1\/6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.32 - 0.32. Let f = -145 - -289\/2. Let m be (-2)\/8 + 9\/(-12). Which is the closest to m? (a) f (b) p (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/39032860 and -91\/35129574?\nAnswer: 351295740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 6:18 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43031143134 - 40?\nAnswer: -43031143224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + -11 + 78 + -23.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 6)*(2*h + 14*h + h)*(-5 + 2 + 4).\nAnswer: -119*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1867027390 a multiple of 2341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**2 + s. Let v be x(1). Let p = -0.44 + -0.16. Let z = -0.9 - p. Which is the second biggest value? (a) 0.2 (b) z (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*l - 26. Let v = -3 + l. Let c be (14\/5)\/(2\/v). Solve 6 = -4*i - c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*g - 214 = 0, -j - 226 = -5*j + 3*g. Let m = -23 + j. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 765*321\nAnswer: 245565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -164606, 6, 1, 70.\nAnswer: -164606, -5, 1, 6, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1031224113 - -114?\nAnswer: 1031224232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62 + -60. Suppose -q*k = -t + 3*k + 106, 2*t + 4*k = 240. Is t a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2025*n - 1995*n + 270 = 0 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71171\/3 equal to 23724?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -13*m + 71. Suppose -x + 7*k - 9*k + 130 = 0, 381 = m*x - 3*k. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16.978 * -0.2\nAnswer: 3.3956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 2*s**3\/15 + 3*s**2\/5 - 2. Factor q(y).\nAnswer: 2*y*(y + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-24))\/((-1)\/(-4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 35*n**2 - 48*n + 50. Calculate d(6).\nAnswer: 1238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93008, -186018, -279032, -372050, -465072, -558098?\nAnswer: -651128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.52 - 15.32. Let x = i + 15.9. Sort x, 2\/3, -3 in ascending order.\nAnswer: -3, 2\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 2:39 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xmpwfxxtwtpppm. Give prob of sequence mxmt.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.6893 nanograms to grams.\nAnswer: 0.0000000066893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 10*w = -3630. Does 55 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33248694?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1664 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*n = 450. Suppose y = -3*y - 4. Let v be 4*3 - (3 + y). Calculate the highest common factor of n and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3b + 497c3?\nAnswer: 49788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bem when three letters picked without replacement from {b: 2, d: 1, i: 2, e: 1, m: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 7*t = 2*b - 6, 0 = -2*t. Let o be -1 + 1\/(4 + (b - 6)). Let x be (-18)\/(-36)*(o - 0). Is 2\/149 less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**2 - 2*d**2 + 6*d**2 + 0*d**2.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 52947 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x - 10. Let m be j(12). Calculate the greatest common divisor of m and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 - 3*i**3 + (i**2 - i**2 - 3*i**2)*(0*i - 4*i + 2 + 2*i).\nAnswer: 3*i**3 - 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 1 (c) -32 (d) -2 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3398 - 3392. Let u(k) = -12*k**2 + 3*k. Let y(p) = 36*p**2 - 10*p. Calculate z*y(r) + 20*u(r).\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*h = 30, -6*h - 2 = k - 2*h. Suppose -3*b + k = -1. What is the units digit of (b - 0)*(1 + 12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-2))\/(1\/6). Suppose 4*v = 12, g - b*v - 11 = -6*v. Factor 0*c - c**3 - 2*c**2 + 2*c**2 - g + 3*c.\nAnswer: -(c - 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (96\/(-1024))\/(6*(-12)\/460) and -13\/54.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -279\/29 - 161\/348. Find the common denominator of n and -37\/49880.\nAnswer: 149640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-18)\/(-16) + (-456)\/64. Let m(w) = -44*w + 74. Let s(f) = 17*f - 25. Let o(u) = -3*m(u) - 8*s(u). Determine o(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x**3 - 8*x**2 - 4*x - 8. Let t(f) = 5*f**3 + 7*f**2 + 3*f + 7. Let h(c) = 4*m(c) + 5*t(c). Suppose -5*r - 9 = -2*r. Calculate h(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -57*b**4\/4 - 3*b**2\/2 + b + 98. What is the second derivative of m(y) wrt y?\nAnswer: -342*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -193*w**2 + 1. Let z be 10 - (8 + -4 + 3). Let q(c) = z*c - 12*c + 3*c + 4*c + c. Calculate d(q(k)).\nAnswer: -193*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9349\/3432 + 1\/312. Let g = 3.63 + -6.63. Which is the nearest to h? (a) -2 (b) g (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 11\/147, 1, 17?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -58c2158?\nAnswer: -58c2155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 371 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -1368.\nAnswer: 1366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 + (1 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 45250182?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/7, -5\/2, 2, -4, 267, 0, -3\/19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**8\/33600 - v**7\/12600 - v**4\/6 - v. Let h(s) be the third derivative of j(s). Find o such that h(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/(-16)*(8 + 0). Let p(i) = -3*i - 19. Let w be p(-9). Does w = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3023 and 28715477.\nAnswer: 3023","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -77 - 71 + 130 + 17*c**3. Let z(n) = -2*n. Determine z(h(a)).\nAnswer: -102*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9061 is divided by 62?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 6460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2809*z**3 - 5724*z**2 + 213*z - 2.\nAnswer: (z - 2)*(53*z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68814198?\nAnswer: 2, 3, 17, 8329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 66*z - 233. Let f be c(-62). Solve 20*n = 17*n + f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 10:38 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - (-15)\/(1 + 2). Suppose -o - 4*a + 12 = -4*o, -4*o + j*a = 16. Is 7 a factor of (o - (-56)\/12)*72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 12*a. Suppose -f - c - 17 = 2*c, -3*f = -c + 11. Let p(l) = 2*l**2 - 5. Let u(z) = -2*z**2 + 4. Let q(g) = f*u(g) - 4*p(g). Give x(q(v)).\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-3*4*((1*(sqrt(468) + 1) + sqrt(468) - sqrt(468) - ((sqrt(468) + 1)*2 - sqrt(468)))*-2)**2*-6.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 + -25. Let h be (-889)\/4*(-1)\/(-2). Let d = 112 + h. Is o greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - k = 253 - 229, -k - 14 = -5*d. Let f = -3 - -1. Sort d, f, -0.5, 1 in increasing order.\nAnswer: f, -0.5, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-99225)\/(-300))\/(-189)*((-80)\/(-14))\/(-1) - -18?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of l**4\/24 - l**3\/6 - 2*l**2 + 7*l. Let o = 0 - -3. Calculate v(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 6 = 0, m - 3*w = -8*w. Let f be m\/20*16\/(-114). What is the third biggest value in f, 1\/4, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 11*i + 15. Let f be -14 - 3\/((-3)\/2). Let d be a(f). Suppose -d*v + 123 = p, -2*v + 35 + 43 = 2*p. Is v a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3000 divided by -1500?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 5*n + 3*y + 267 = 0, -5*y - 20 = 0. What are the prime factors of n?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + h. Let v(u) = -21*u**3 - u**2 + 4*u. Determine -4*i(p) + v(p).\nAnswer: -17*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -645 + 2513\/4. Find the common denominator of 309*((-534)\/108 + 5) and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1057 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 5*d**9\/56 + 2*d**5\/3 - 7*d**2 - 3*d. What is the third derivative of a(h) wrt h?\nAnswer: 5400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/35)\/(1\/10). Suppose o + q*o = 85. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((f + f - 4*f)*(0 - 3 + 2) - 4*f - 20 - f + 19)*(-3 + 1 + 0)*(-21 - 1 - 24)*(2*f**3 - f**3 - 2*f**3) as i*f**4 + d*f + r + n*f**2 + a*f**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 617497 to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 115791522 and 1122?\nAnswer: 115791522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 16 + 56 = 0. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41554 and 6182.\nAnswer: 128443414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79059 is divided by 2464?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/7419?\nAnswer: -1\/7419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 85?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 - -0.3. Let j = -136 - -132.99. Let k = j + 0.01. Which is the nearest to w? (a) 2\/7 (b) k (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10218.92 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 5 = -y, -y + 2*r = 2 - 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 22. Suppose -448 = -3*r + 4*g, -4*r + 281 = -f*g - 328. Suppose 0 = -0*k + 2*k - r. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, m: 1, p: 1}. Give prob of picking 1 p and 2 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-2) + (-3)\/(-6). Suppose -s*a = 3 + 2. List the prime factors of -3 - (-18 - (a - -1)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/(-10) - 1) + 22\/(-60). Which is the fourth smallest value? (a) 5 (b) y (c) -4 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2723767580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.644464 milligrams to kilograms.\nAnswer: 0.000001644464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330*k - 4*k + 260*k = 9962 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 7, 2, 0.05, -1.71, -0.3, 2\/103?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 13. Let t be (4\/j)\/(2\/48). What is the tens digit of (0 + t)*(-4)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*t**5 + 2*t**4 - 7317*t**2 + 897205*t wrt t.\nAnswer: -180*t**3 + 24*t**2 - 14634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/19)\/(w*((w**(1\/27)*w)\/w*w)\/w)*w**(-7\/2)*w**12 assuming w is positive.\nAnswer: w**(7549\/1026)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95, -94, -93?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -784, -1567, -2350?\nAnswer: -3133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1160 divided by -232?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135*103241.\nAnswer: 13937535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a - 3. Let j(p) = 12*p - 102. Let c be j(9). Let b(r) = 3*r + 2. What is c*b(h) + 5*s(h)?\nAnswer: -2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w + 3*w + 5 - 1186*w**3 + 1189*w**3 + 5*w**2 to the form g*w + j*w**2 + k + r*w**3 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -2\/407, -0.014?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 1162.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhhhhvhhuvuvuuuhvvv. What is prob of picking 1 u and 1 v?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.217 + -1262731\nAnswer: -1262730.783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24138 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 3.8. Let z = k + -2. Sort 3\/5, -3, z in descending order.\nAnswer: 3\/5, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 8*f**2 + 6*f - 12. Suppose 7 - 1 = -n. What is the units digit of g(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(220\/(-15))\/11\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 19*o + 9. Let u be j(16). Let s = -1 - u. What are the prime factors of s?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 12*f**2 - 6. Let t be p(-12). Is -7 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 73\/2*g**2 + 9*g - 5*g**3 + 0*g**4 - 1 - 1\/20*g**5. What is the derivative of r(x) wrt x?\nAnswer: -3*x**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.08265 + 0.0814478. What is b rounded to 5 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8467*b**2 + 16657*b**2 - 8368*b**2.\nAnswer: -178*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1253 - 1?\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -158*l**5 + 42*l wrt l?\nAnswer: -3160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (22\/33)\/((-4)\/(-42)). Solve 3*v + x = 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -u, -2*u + 4*g = 3*u. Let q = -9 + 16. Let r be (-6)\/q*1*-7. Solve u = -0*y - 2*y + r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 8*n - 3. Does 15 divide r(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*y**3 + 0*y**2 + 15*y**3 + 0*y**2 + 61151 - 61151 + 8*y.\nAnswer: 3*y**3 + 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(700) + 5 + sqrt(700)*-1 + (sqrt(700) - 3*(sqrt(700) + 0)))**2.\nAnswer: -200*sqrt(7) + 2827","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -1, -259, 5?\nAnswer: -259","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 2*k + 9260, -13*u = -11*u + 3*k - 6175. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**2 - 32*y**2 + 4981653 - 4981651.\nAnswer: -38*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*o**4 - 40870*o**3 + 4807625*o**2 - 4766750*o = 0. Calculate o.\nAnswer: -8290, 0, 1, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 15 = 6954305*t - 6954302*t, 2*t - 14 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 3*j - 33. Give m(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 5. Suppose 4*l - 2*g = 0, -2*g + 17 = 5*l - s. What is the third derivative of -n**2 + l*n**2 + 2*n**2 - 4*n**2 + n**3 wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of s**6\/120 - s**5\/20 + s**4\/12 + s**3\/2 - 22*s**2. What is w(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*q - 390, -k = 4*q + 408 - 1224. Suppose 5*c = 72 + q. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 35*n**2 - 69*n - 27. Let f be l(-33). What is the greatest common factor of f and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-6*sqrt(132)*3 - sqrt(132) - sqrt(132)*2*-2)\/(((sqrt(108) + sqrt(108)*1)\/sqrt(3))\/(1*sqrt(12))))**2 + 2.\nAnswer: 4952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 30*n**2 - 89*n + 1. Let v be x(3). Sort 189, 5, v in descending order.\nAnswer: 189, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + 4*b**5 + 2*b - 3*b**5 + (2 - 2 + 2*b**2)*(3*b**3 - 4*b**3 + 0*b**3) - 3*b**5 + 3*b**5 - 2*b**5.\nAnswer: -3*b**5 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 70*f = -68*f + 12, -3*q + 5*f - 5 = 0. Solve -4*p + 45 = 5*o, 3*p - 14*o + 12*o - q = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 1:19 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1171 - 2789 = 4*u - 4*m, 4005 = -4*u - 5*m. Let g = u + 1481. Find the common denominator of ((-7)\/42)\/(20\/g) and -55\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 39, 134, 247, 384, 551?\n\"Answer: y**3 + 3*y**2 + 79*y - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180014861.\nAnswer: 13, 29, 31, 73, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -255411253 (base 6) in base 12?\nAnswer: -1823b29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -2\/7, 33902 in ascending order.\nAnswer: -2\/7, 1\/5, 33902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 36. Suppose 0 = -4*a - 3*s + 25, 3*a + 3 = s + u*s. What is the derivative of -8 - 8*r**a + 0 - 3 - 3*r**4 wrt r?\nAnswer: -44*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6173353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + (0 - 4\/2). Let o be (-24)\/((-1)\/((-4)\/t)). Suppose -h + o - 6 = 0. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2589.74 + 2535. What is y rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.0626\nAnswer: -0.2504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5783*q = -6387*q + 292080 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7827.\nAnswer: 3, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + 4*u - 28, 24 = 5*t + u - 3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 - 141299*t**2 - 459261*t - 105984.\nAnswer: (t - 35328)*(t + 3)*(4*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 n when two letters picked without replacement from {w: 9, l: 3, n: 5, s: 2}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) -5 (b) 53 (c) 2\/5 (d) -2 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*w + w, 0 = -3*w - 3*o. Suppose w = -3*n + 7*n + 60. Let d be 0 + (1 - (-13)\/n). Which is the second biggest value? (a) -0.4 (b) -0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.5 + 3.5. Let h = 627 + -2511\/4. Which is the third smallest value? (a) h (b) l (c) 1\/7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1201 + -1203. Suppose 12 = 3*k - 5*v - 7, 2*k - v - 8 = 0. Let u be (-1)\/((-7)\/(21\/(-9))). Which is the biggest value? (a) u (b) o (c) k (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-51007298.\nAnswer: -10201459.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18264 and 36?\nAnswer: 54792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9, m: 1, h: 4, b: 2, q: 3}. What is prob of sequence ml?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.14 in -1.244, -2\/21, 0.3, 2, 1\/7, -0.4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -109 + 159. Let k = -47 + h. Solve k*w - 8*w = -15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 18 = 3. Let k = 28 - w. Let g(o) = 6*o - 37. Let c be g(k). Solve 4*n + n = -c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -261540975 and 0.5.\nAnswer: -261540974.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 3. Let p = -8 + t. Let m be p\/6 - 66\/(-9). Let u(f) = 5*f**3 - 7*f**2 - 11*f + 7. Let i(q) = 2*q**3 - 3*q**2 - 5*q + 3. What is m*i(v) - 3*u(v)?\nAnswer: -v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -157*f - 3 + 3 + 157*f - 32*f**2. Let o(i) = 6*i. Give d(o(q)).\nAnswer: -1152*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 12:43 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/6)\/((-1120)\/(-896)). Suppose -r = 2*r + 12. Which is the biggest value? (a) r (b) v (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 0*g**4 - 1\/15*g**6 - 13\/6*g**3 + 2*g + 27*g**2 - 1 + 0*g**5. What is the first derivative of b(l) wrt l?\nAnswer: -8*l**3 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/71 and 29\/6?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121304 and 9794.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v**2 - 56*v + 15. Calculate w(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3199553 and 79492?\nAnswer: 12798212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5)\/8*5203\/(-645) and -41\/10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/6*(-57)\/285?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -2) + -2 - -3. Suppose -1979 = q*b + 621. What is b rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(2\/8)\/((-22939)\/9492)*(-4)\/10.\nAnswer: 12\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*l**3 + 18\/13*l**2 - 20\/13*l + 0.\nAnswer: 2*l*(l - 1)*(l + 10)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(1\/25)\/w)\/w*w)\/w**33)\/(w**10*w\/w**23))**5 assuming w is positive.\nAnswer: w**(-549\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 81773179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20132, 20133, 20134, 20135, 20136?\nAnswer: 20137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/4 of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 4*p - 7. Let y be d(-6). What is the third derivative of -y*o**5 + 0*o**5 - 2*o**2 + 4*o**5 - o**5 wrt o?\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2016)*1 - (-6*sqrt(56)\/sqrt(4) + sqrt(14)))\/(sqrt(1008)*2*-6 + sqrt(1008)*1*-4).\nAnswer: -17*sqrt(2)\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1307 and 6043?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 12676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100592, 105592, 119168, 145610, 189208, 254252, 345032?\nAnswer: 465838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 3*z**2 - 5*z + 3. Let o be h(-4). Suppose -2*p + 0*p - 4*w = -18, 2*p = 4*w + 26. Let i = p - o. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11299453?\nAnswer: 11, 1027223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 - 20. Suppose -4*q = h + m, -2*q = -5*q - 4*h - 12. List the prime factors of 136\/14 - q\/14.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u - 10. Let n be t(-5). Sort n, -1, 5 in ascending order.\nAnswer: n, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*(-116)\/(-145)*(-25)\/(-42)?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3949*k = 3944*k + 4*s + 4, 4*s = -4*k + 32 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -9 + (-3 - -1)*-1. Let w = o + 7. Solve 4*u + 12 + 8 = w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1.4, -0.04, 0.\nAnswer: -1.4, -0.1, -0.04, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2680876*i**3 - i**2 - 3786154*i.\nAnswer: -16085256*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*x**4 + 11*x**2 - 25*x**4 + 2*x**2 wrt x.\nAnswer: 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 356*o - 6. Let x(l) = -2*l**2 + 714*l - 10. Let z(a) = 5*g(a) - 3*x(a). Let w(b) = -b. Give z(w(q)).\nAnswer: q**2 + 362*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 35*z**4\/46 + 16*z**3\/69 - 4*z**2\/23 + 35*z. Factor k(c).\nAnswer: 2*(7*c + 2)*(15*c - 2)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**2 + 7*q - 13. Let w(y) = -5*y**2 - 9*y + 15. Let b(z) = 7*s(z) + 6*w(z). Give b(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*s + 970 = -226*s + 2*w + 954, 12*s - w = 48 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -1, -1\/2, 3, -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 4) + -9 - (-2 + 0 + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5971*a - 3404?\nAnswer: 5971","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 - -19. Let y = -10.9 - m. Let l = y - 1.9. Is -0.1 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68065 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 11:45 AM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 829266 is divided by 34511.\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/24 and -11\/188.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 79.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -28 (b) -0.2 (c) 1\/3 (d) 0.2 (e) -2585 (f) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211.4639 kilometers to micrometers.\nAnswer: 211463900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 487 a factor of 5738336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6*(1 + 0) + 0. Let d(l) = -l**3 - 5*l**2 + 5*l - 2. Let j be d(y). Let q = 1 + j. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26260 (base 13) in base 4?\nAnswer: 101101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*g - 2)*(-5*g**3 + 4*g**3 + 4*g**3) - 2*g**3 + 2*g**3 + g**4 + g**4 + 6*g**4 - 18*g**4.\nAnswer: -16*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/7))**45\/((x**(-6)\/x)\/x*x*x*(x\/(x*x**(-22)))\/x) assuming x is positive.\nAnswer: x**(-240\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 13*a - 14. Let z be r(-11). Suppose -3*w = w + 2*u - 20, 0 = 4*w - 4*u - z. Solve 0 = s + w*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -1. Suppose f*r + 3*k = 37, -5*k - 12 = -2*r - 3*k. Let u = r + -7. Solve 4*b - u = 3*w, -w - 4*b - 1 = -5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -1af2?\nAnswer: -1af6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3546 divided by -1182.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/2)\/c)**(-4\/25)\/((c*(c\/((c\/(c**6\/c*c*c))\/c*c))\/c)\/c)**(1\/23) assuming c is positive.\nAnswer: c**(-104\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16 + 5)*-1 - 8. Solve -4*v + 4*w + 5 = 13, 0 = 5*v - l*w + 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -113? (a) 34 (b) 1\/5 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 - 9*o - 8. Let c be r(8). Let m = -21 - c. Is m*((-4)\/(-6) - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17134588.\nAnswer: 2, 4283647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*x + 5*t - 4*t, -x = -t - 4. Let l(z) = -6*z - 1. Calculate the remainder when l(-6) is divided by 6\/(-24) + 73\/x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -8*r**2 - 58*r - 4. Let p be h(-7). Suppose 0 = -2*y + 3*a, -5*y - 5*a + 1 = -49. Let s = 11 - y. Calculate the highest common factor of s and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 0 - 1 - 1 + 3 + (2 + 0 - 3)*(1 - 2 - 1) + 1 + 3 - 3)*(-r + 2*r - 4*r) + 5*r + r - 2*r.\nAnswer: -17*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) 3\/8210 (c) -2 (d) 3 (e) -20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -88 + 10. Let k be 4\/14 + m\/(-21). Suppose -k*u + 121 = -95. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 + 100031311?\nAnswer: 100032020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + 196 - 2*w - 223)*(-w + 0*w - w).\nAnswer: -4*w**2 + 54*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 3*f - 3. Let c be r(3). Suppose t + 10 - c = 0. Suppose t*v + 7 = g, 0 = 2*g + g - 3*v - 9. Solve 4*b + 8 = 3*q - 8*q, b = -2*q - g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 - -50. Let v = 0.4 + -0.8. Which is the biggest value? (a) -3\/7 (b) g (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + v + 1. Let i be k(-2). Let m(j) = -j**2 - 3*j + i*j. Let o(g) = -7*g + 14*g - 4*g - 5*g. Determine m(o(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.29 <= 876.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) - sqrt(832))**2 + -1 - (sqrt(208)*-3)**2) + 0 + -3.\nAnswer: -1408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 3*y + 1. Let g(h) = 15*h**3 - 36*h**2 - 549*h - 1662. Let f(t) = g(t) + 12*v(t). Factor f(o).\nAnswer: 3*(o - 22)*(o + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48871886?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 4. Let r be v(-4). Suppose r = 3*i - 0 + 9. Let x = 8 - i. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*s = 6*s - 34*s + 14124. What is the remainder when s is divided by 90?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.446 and -14?\nAnswer: 14.446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q, -5*u + 150 = -2*u + 2*q. What is the least common multiple of 16 and u?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-485*y**2 + 485*y**2 - 12*y**5)*(0 - 3 + 4).\nAnswer: -12*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*n**2 + 50*n**2 - 16*n**2 + 17*n**5 - 33*n**2 wrt n?\nAnswer: 1020*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 504 and 31947552?\nAnswer: 31947552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/(-64) - (-4634)\/16. What is the greatest common factor of 29 and g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/7)\/(i\/(i**(1\/16)\/i))*i**(-3\/4)*(i**(-8)\/i)\/i)\/((i\/i**(-2\/3))**41*i**(-7\/4)*i\/(i*(i**(-2)*i)\/i)) assuming i is positive.\nAnswer: i**(-27403\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1990 a factor of 743567480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 0*s + 19 + 3*s - 2*s in the form u + f*s and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272*y**2 + 276*y**2 - 5*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -3*p - 64 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -53 (b) 4 (c) -3 (d) -0.11864 (e) -1.7 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -533 - -926. Let o = -267 + 533. Let q = h - o. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -83717, -83722, -83729, -83738, -83749, -83762, -83777?\n\"Answer: -g**2 - 2*g - 83714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*c**2 - 21*c**2 - 35*c**2 + (229 - 37*c - 229)*(c - 5*c + 3*c) + (0*c**2 - 3*c**2 + 2*c**2)*(1 - 1 + 1) to the form b + j*c**2 + d*c and give j.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/200)\/(3\/24)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -631840*v**2 + 8580*v - 2860. Let m(o) = 663*o**2 - 9*o + 3. What is 6*g(b) + 5720*m(b)?\nAnswer: 1320*b**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 20732587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*u**3 - 266*u**3 + 130*u**3.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -11. Suppose u = 4*u - 15. Let v be x\/u + -2 + 3. Is -1 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7135 - -21413\/3. Let r(u) be the first derivative of -4*u**3 + 2*u**4 - 19 - m*u**2 - 4\/15*u**5 + 16*u. Solve r(s) = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 4*s - 14 - 24, -4*q + s = -22. Solve 0 = 5*n + 2*t - t - 3, -5*n = -2*t + q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-219)\/(-2920)*40)\/((-1)\/(3*-1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 711547.\nAnswer: 37, 19231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 1. Let g(u) = 39*u**3 + 3. Give g(a) - 3*y(a).\nAnswer: 36*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5 = -15. Suppose -a*g + 90 = -10*g. Let y = -3 - g. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8, -1334 in decreasing order.\nAnswer: 8, -1, -1334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (1 - 0)) + (67 - (25 + 35)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.0789 (c) 2\/3 (d) 15 (e) -2 (f) -8\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3583 + -3563. Calculate the remainder when n is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/31 + -46\/155. Let l = -0.99 - -0.933. Let t = 0.043 - l. Which is the biggest value? (a) v (b) 0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 16 = 4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30134?\nAnswer: 2, 13, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4367 = -5*c, -440 - 3903 = -5*c - 3*t. Suppose 895 = 4*h + h + 5*b, 5*h = 3*b + c. Calculate the highest common divisor of h and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 9 - 27. Let r be (-15 - p) + 1*2. What is the tens digit of 36 - r - (-16)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3*1*(-178)\/((-18868)\/(-795))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 42*j. Suppose -4*y + 2*c - 38 = -36, y + 78 = 16*c. Let o(n) = -41*n - 1. Calculate y*o(m) + 3*u(m).\nAnswer: 44*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 34312030 (base 5) in base 3?\nAnswer: 120121022120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -6*i**2 + i**2 - i**2 + 9*i**2. Let s(c) = c**2 + 96. What is n(s(r))?\nAnswer: 3*r**4 + 576*r**2 + 27648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/120*(-10 - -6). What is the closest to -2 in -3\/4, c, -5, -2\/5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -3*p - 2, -5*q = -11*q + 5*p + 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168 and 137424.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-8))\/1*40\/30. Sort 28, -11, 3, g in decreasing order.\nAnswer: 28, 3, g, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 54 + -8 - 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/30)\/((-12)\/15)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 - 33 = -y. Let t = y - 75. Let r(o) = o**3 - 6*o**2 - o + 4. Give r(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of v**3 + 71*v**2 - 45*v + 5 wrt v?\nAnswer: 6*v + 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 956 and 260?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 divided by 11127189.\nAnswer: -41\/11127189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2*q**3 + 4)*(7 - 7 - 3*q) + 9*q**2 - 2*q**3 + 30*q**2 + 832*q**4 - 835*q**4 in the form k*q**3 + d*q**4 + a*q + j*q**2 + f and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 63 = -4*w + 106, -2*n + 0*w - 3*w + 20 = 0 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7075101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0. Let q(w) = -w - 1. Let n be (-20)\/15 - 4\/6. Let i be q(n). What is the closest to i in -0.2, x, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - 8*g + 715 + 9*g + 2*g - 3*g**2.\nAnswer: -3*g**2 + 3*g + 715","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*f**3 + 13*f**3 + 10*f**3 + (-2*f**3 + 5*f**3 + 2*f**3)*(-4 + 3 + 2).\nAnswer: 15*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 13. Let x = 9.7 + g. Round x to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.16 to the nearest integer.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -0*p + p + 8, 0 = 2*p + x - 11. Suppose -3*b + p = c - 8, -b + 60 = 3*c. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1692 divided by -1\nAnswer: -1692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17144 is divided by 1143.\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 = -3*i + 116 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-2*sqrt(768) + sqrt(768))*-4)\/(-6*sqrt(24)*1) + 4)*4*-4)**2.\nAnswer: -16384*sqrt(2)\/3 + 69632\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2263*w + 4. What is the hundreds digit of s(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z**2 + 252*z + 633. Let u(l) = -l**2 + 9*l. Let w(p) = s(p) + 3*u(p). What is the first derivative of w(b) wrt b?\nAnswer: 2*b + 279","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.1699495ug?\nAnswer: 0.0000001699495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -26*p. Suppose -3*k + 8*k = 4*u + 30, -5*u = -3*k + 18. Suppose -c - 5*q - 21 = 0, -2*c + 4*q + 8 = -k. Is g(c) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -1034*r - 384115. Calculate h(-372).\nAnswer: 533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 32*n**2 - 34*n + 87. Let k be x(31). Is 631*(13\/11 - k\/(-33)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-2) - (-7 + 1 - -10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1467745141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 2*d**2 - 3*d + 1. Let u be k(2). Let r = u + -11. Suppose r = -g + 1 + 4. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/391144 and -9\/19124.\nAnswer: 1870059464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 369 and 47273.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 1684*r**2. Let w(s) = 2*s**2. What is y(w(g))?\nAnswer: 6736*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 11. Let p be a(0). Let o be 2\/p - 84\/22. Let b(u) = 3*u + 49. Let d be b(-14). Put o, 1, 5, d in descending order.\nAnswer: d, 5, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 70.5, 0.1, 3, 4\/13 in increasing order.\nAnswer: 0.1, 4\/13, 3, 45, 70.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 15\/2*k**4 + 54 + 15*k + 0*k**3 + 1\/2*k**2. What is the second derivative of l(j) wrt j?\nAnswer: 180*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 38 - -15140?\nAnswer: 15178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 38. Let j be (-3)\/9 + 2\/6. Let f be z(j). Suppose -3*r + f = -5*v, 3*r - 7*r - 2*v = -16. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 - -1b?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -41*d - 5. Let g = -12 - -10. Is l(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 = -5*o + 127. What is the remainder when o is divided by (0 - -1) + (1 - -18)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.8 - -6.7. Which is the fourth biggest value? (a) 0 (b) 1 (c) -4 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-21)\/6 + (-110890)\/(-52) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -62*i**7\/7 + 11*i**3 + i - 83. What is the third derivative of b(y) wrt y?\nAnswer: -7440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*d - 43 = 0, -4*k + d + 4*d = -65. Solve 22*q + k = 19*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 43580*u + 2 - 24291*u - 1.\nAnswer: -67871*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303196?\nAnswer: 2, 229, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + q**2 + 1 - 1 + q**2 - 3*q**2 + 2*q**2 - 2*q**2 + (4 + q - 4)*(2*q - 2*q - 2*q))*(3*q + 4*q - 5*q).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*v - 26, 115*v = 3*m + 112*v - 3. Let y(a) = 4*a + 23. Give y(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 4*z - 192, 2*c - 18 + 25 = 3*z - 137 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajlmljulyluu. What is prob of picking 1 l and 1 m?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 - 0.5. Let v = -1 - x. Let z be 52\/169*2\/(-4). Which is the closest to -0.2? (a) z (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 49096*g + 1299. Is l(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -479, -1886, -4221, -7484?\nAnswer: -11675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2aa6 - -17?\nAnswer: -2a8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 282, 291, 322, 387, 498, 667, 906?\nAnswer: 1227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000015346 rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 352 - 506. Let c = f - 33. Let w = -79 - c. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**4\/4 + 13*s**3\/3 - 13*s**2\/2 + 15*s - 8. Let z be v(12). Solve -3*a**2 - z*a - a**2 + 12*a**2 - 5*a**2 = 0 for a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 32, 7 in descending order.\nAnswer: 32, 7, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - -18)*(-1)\/(-2). Let t = u - -75. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**3 - 186*f**2 + 3*f + 268. Calculate r(-93).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 3:55 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i - 6. Let j be r(4). Suppose -1 = 3*m - j. Solve -7 = 2*c + m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -4*y + 51. Solve 2*f + 30 = -y*k, -2*f = 5*k - 0*f + 35 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2553 + -2539. Suppose 4 = 2*y - 6. Put d, 4, y in ascending order.\nAnswer: 4, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -0.4 (c) -1\/248 (d) 5 (e) 3\/2 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + t + 163 = 0, 2*t + 114 = 3*n - 5*n. Let u = 53 + n. Suppose 2*j - 33 + 7 = u. Are j and 8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 606 + 433. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - -38. What is the third derivative of 324*o**3 - o**2 - 319*o**3 - 4*o**v + 0*o**2 wrt o?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/8 or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -5*u**7\/84 + 73*u**6\/12 - 195*u**5\/2 + 1870*u**4\/3 - 4880*u**3\/3 - 4859*u. Factor b(v).\nAnswer: -5*v*(v - 61)*(v - 4)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (4 + (-9 - -16))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 5:36 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 180, 174, 168, 162?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/14 and -47\/73018?\nAnswer: 511126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 778963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 14040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l - 48. Let m(w) = -14*w + 143. Calculate 8*g(r) + 3*m(r).\nAnswer: -2*r + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 + -26. Suppose 14*u - c*u - 720000 = 0. Round u to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 188 * -1.728.\nAnswer: -324.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2 = 4. Let d(c) = c - 1. Determine d(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1850.7761 to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -39 times 182.8\nAnswer: -7129.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a century in decades?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3, -1, 9, 39, 95?\n\"Answer: l**3 + l**2 - 14*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -340a + 151b?\nAnswer: -1aab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -2, 4\/9, 61 in descending order.\nAnswer: 61, 4\/9, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j - 1. Let g(r) = 2*r - 10. Give g(b) - 5*y(b).\nAnswer: -3*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -9. Suppose 4*d - a*b = 132, -b + 4 + 103 = 3*d. What is the highest common divisor of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55312375 is divided by 6806?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 188518 and 2662?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zgzigiziiiizz. Give prob of sequence gzzg.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 42031.46 days in minutes?\nAnswer: 60525302.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 52212414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 5*l**2 - l + 5. Let h be p(5). Suppose 4*o + 21 + 47 = h. Let r = -12 - o. Solve -5*x - 10 = -r*i, -4*i - x + 12 = -6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 18*h. Let f(v) = 76*v - 132. Let r(p) = -5*p + 17. Let d(l) = 5*l - 15. Let k(z) = 4*d(z) + 3*r(z). Let a(n) = -6*f(n) + 88*k(n). What is j(a(m))?\nAnswer: -288*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/26296 and 75\/726332?\nAnswer: 251310872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5108 + -5871. What is the second biggest value in f, -4, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -65*n + 1325. Let l be i(19). Solve -2569*v = -2579*v - l for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -189 - -470478?\nAnswer: 470289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/5 - (-14)\/(-10). Let b be ((-1)\/g)\/(3\/9). Solve -3*k + 9 = 2*q + b*q, 6 = 2*k - 5*q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -2, 0.4, 0.07 in increasing order.\nAnswer: -2, 0.07, 2\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000883 rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/39)\/((-278)\/(-278))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2251 divided by -179\nAnswer: -2251\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*d - 5*m, 3*d + m + 0 = -1. Let n be 0 + (d - 3) + 2. Suppose -h + 17 = -n. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 - 32520*j - 32516.\nAnswer: -4*(j + 1)*(j + 8129)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 12. Let u(r) = 6*r**2 + r - 4. What is the remainder when u(3) is divided by ((-54)\/15)\/(1\/c)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + -56. Let y = v - -110. Let l = 102 - y. Is 34 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 286 divide 14541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 - 257507328*d + 8288752996712448.\nAnswer: 2*(d - 64376832)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/84)\/((-18)\/189).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*c + 240 = 106*c. Calculate the highest common factor of c and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 666 + -648. Let o = 7 - -8. Calculate the smallest common multiple of o and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105570, 211118, 316664, 422208, 527750?\nAnswer: 633290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*k**2 - 8*k**2 + 12*k**4 + (-4 - 14 + 6)*(4*k**3 - 5*k**3 - k**3)*(2*k + 0 + 0).\nAnswer: 60*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 + 78*a - 583. What is w(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -1.233, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 542*q + 1 - 4 - 1516*q - 187*q.\nAnswer: -2245*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 2:22 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (1 + -7 + 3 + -4 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 57, 83, 107, 129, 149, 167?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 75?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 8 = 2*v, 317*v - 319*v = 3*i + 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4 + sqrt(2)*1 + sqrt(200) + -3)**2.\nAnswer: 22*sqrt(2) + 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 11\/4 of a microsecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 472, 478, 494, 526, 580, 662, 778?\n\"Answer: f**3 - f**2 + 2*f + 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 8*g - 1. Let q(f) be the second derivative of 2*f**3\/3 - 5*f. Let b(d) = 7*q(d) - 3*x(d). Is b(4) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(80\/10) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 11:15 PM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3824*f**2 + 275*f - 274. Determine w(1).\nAnswer: 3825","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 977203523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25570024 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10248 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence unun when four letters picked without replacement from {n: 2, u: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -3, 0.2, 1\/4, -6 in decreasing order.\nAnswer: 0.5, 1\/4, 0.2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -s**2\/2 - 7*s + 4. Let g = -64 + 61. Let b be (5\/(-2))\/((g\/(-1))\/(-6)). Let w(u) = u + 4. Determine b*w(d) + 3*z(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-11)\/(-4))\/(1\/4). Suppose -3*k = -4*o - 20, 3*o + 4 = -3*k - l. Let u be (-165)\/132 + (-4)\/(64\/(-52)). Solve -v + k = -u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k + 47 - 459 - 988 + 0*k in the form q + o*k and give q.\nAnswer: -1400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.09 + -7.94. Which is the closest to -2? (a) 0.5 (b) o (c) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2368*r**5 - 52*r**4 - 12*r**3 + 5156*r**2 - 462 wrt r.\nAnswer: 142080*r**2 - 1248*r - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*u - 32 + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 1235505*n + 273*n**2 + 1 + 1235497*n to the form t + l*n + m*n**2 and give m.\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven quarters of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l**2 - 2*l + 4. Determine t(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 25*d**2 + 85*d - 33. Give y(28).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1036 - -1913. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5852, 5836, 5806, 5756, 5680, 5572?\nAnswer: 5426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 16*f**2 - 6*f + 12. Let x be i(-15). Let z = -78 - x. Calculate the remainder when z is divided by 29.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-4) - (-18)\/8. Let t be 1 + -1*2 + d. Suppose 4*a = -2*w + 10, a + 3*w + 2 = 7*w. Put -2, a, t in increasing order.\nAnswer: -2, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1380717mg to nanograms.\nAnswer: 138071.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (5 + -99)) + (-32 - -9 - -6).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 117\/390*(-8)\/6.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -15. Let b(w) = 2*w - 16. Let o be b(m). Sort o, 1, -4.\nAnswer: -4, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1225504 (base 6) to base 8\nAnswer: 201020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000301923 to 7 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 166*h - 11. Let w(k) = 55*k - 4. Give -4*f(j) + 11*w(j).\nAnswer: -59*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 6, -30*b = -35*b - g + 23. Solve h - 9 = -4*i - 1, 0 = -b*h - 3*i + 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 127350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*u = -106 + 6, 4*u = i - 52. Let x = i - 43. What is the least common multiple of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4 + f + 12 - 7. Let q(a) = -a - 2. Let d(o) = -2*c(o) - q(o). Let m(n) = 50*n. Determine d(m(u)).\nAnswer: -50*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 11*q**2 + 10*q - 36. Let j be (-281)\/(-6) + 56\/48 + -1. Let p = 34 - j. Is d(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3*(-1 + sqrt(11))**2 - (sqrt(11) - (3*sqrt(22)\/sqrt(2))**2)).\nAnswer: 5*sqrt(11) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) 0.07 (c) 0.9 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 s, and 1 i when three letters picked without replacement from yyssysyysooosoydzzoi?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-1 + 0)\/(-1)). Let t = 2 + b. Solve 0*c - 2*r + 7 = t*c, -3*r - 2 = 2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-5*sqrt(539))**2 - ((sqrt(539) - (sqrt(539) + (sqrt(539) - (sqrt(539) - 4*sqrt(539)))) - sqrt(539)) + -3)**2)*5.\nAnswer: -1050*sqrt(11) + 202080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -2\/7, -0.3, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**16*r)\/(r\/(r*r*r**(1\/27))) assuming r is positive.\nAnswer: r**(487\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttqoqottq. Give prob of sequence ooq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-6)*21\/14. Solve 5*f - 8 = -c*h, -1 = -4*f - 2*h + 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2600597289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8 + 10)*(1 - 0). Solve -3*k + l*k + 3 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {d: 7, i: 1, q: 2, h: 2, l: 8}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32623 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -102121 (base 3) in base 5?\nAnswer: -2223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104807*g**3 + 2077*g**2 - 2077*g**2.\nAnswer: -104807*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -9. Suppose -l*h + 0*h + 6 = 0. Suppose -h*v = -40 - 23. Solve -2*d + 2*k = -6*d + 28, 4*k - v = -d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.869 + 0.131. Which is the second smallest value? (a) 2\/13 (b) -5 (c) l (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 10:48 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/54*3)\/(3\/(-9)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 487 minutes after 11:01 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: 1+0.1\nAnswer: 1.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -420483915 and 0.2.\nAnswer: -420483914.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 131839*z**4 - 27*z**2 + 1858*z wrt z.\nAnswer: 3164136*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-2 - (2 + -1)) + -5 + -7\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(1\/2)*n*n)\/n)**2*(n\/n**(3\/13))\/n*n**(-3) assuming n is positive.\nAnswer: n**(23\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) -44 (c) -0.27 (d) 19\/24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 234.9026mg in kilograms?\nAnswer: 0.0002349026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1225*d**2 + 36*d**4 + 4*d - 1230*d**2 + 44*d**4 + 2456*d**2 as k*d**4 + j*d**2 + g*d + c + p*d**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j - 17. Let u be s(7). Let l be -3 + 0 - u\/2. Let a be (-3)\/(-2)*(-2)\/(-3). Sort a, -2, l in descending order.\nAnswer: a, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4 + 0 + 3 - 4*a**2 - a**3. Let i(q) = 2*q**3 + 5*q**2 + 2. Suppose -3*o + 7*y - 5*y - 13 = 0, 2*o + 14 = 4*y. Calculate o*s(c) - 2*i(c).\nAnswer: -c**3 + 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 181723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1873 times -394932?\nAnswer: 739707636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4158*n - 89*n**3 + 50*n**3 + 8314*n + 83*n**3 - 4156*n.\nAnswer: 44*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -6*q**3 - 3*q**2 + 25. Let x(l) = -l**3 - l**2 + 1. Let b(f) = -c(f) + 3*x(f). What is the derivative of b(i) wrt i?\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -8.2. Let v = -0.2 - r. Let k = 3 - v. Which is the closest to 1\/4? (a) k (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011 + -102210?\nAnswer: -100122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**4\/24 + 4*d**3\/3 + 4*d**2. Let v be s(-6). Solve 4*u + 5*i = -u + 15, 4 = v*u + i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2282 greater than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 11:04 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0595 and 4016?\nAnswer: 4016.0595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-2))\/((-2)\/4). Let y be 96\/4 - 2 - q. Solve -a - 7 = -3*w, 0*w - y = 4*a - 5*w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 8 + 5646\/6 + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8.9974ng?\nAnswer: 0.0000000089974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 9651372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*c**2 - 12*c - 19*c**2 + 62*c**2 - 9*c**4 - 20*c**2 - 17*c**2 in the form u*c**3 + s*c**4 + n*c**2 + t*c + m and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14\/5? (a) -11 (b) 0.5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 5\/4 (c) -3\/2 (d) 4 (e) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -627*k. Let d(s) = -s**2. What is p(d(q))?\nAnswer: 627*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 16 - 17 - u**2 + 66 + 28 - 13*u. Let s be z(-18). Solve 1 = -g + s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-54)*(-47)\/(658\/21)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1121474193 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390654 = -5587*p - 22784 for p.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7346687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1859 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**2 + 4. Let g(c) = -6*c**2 - 2*c + 2*c + 14*c**2. Give g(w(b)).\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 65*d + 565. Calculate f(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7984512 divided by 96.\nAnswer: -83172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 6, 2\/1545, 2, -0.3, 2\/11?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-35))\/(4\/((-80)\/30))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.09 + -0.01. Is m greater than 0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 209.\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -16163 (base 7) in base 8?\nAnswer: -10711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 18 = -4*w, -3*w + 53 - 101 = 3*y - 57 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/293 and 59\/1758.\nAnswer: 1758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (350\/(-21)*-1)\/((-4)\/(-30)). Suppose 5*o - 4*o - 425 = 5*d, 3*o + 340 = -4*d. Let t = m + d. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 53381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 115.514 rounded to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0924 + -2811.227187.\nAnswer: -2811.319587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -6*l + 9*l + 539 - 569, -2*c = 3*l - 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) -32 (b) 1 (c) 103.6 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 0*w = 3*w - 30, -21*x + 44*x = 31*x + 3*w - 30 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2\/5, -4, -1\/6 in ascending order.\nAnswer: -4, -3, -1\/6, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26\/121 or 0?\nAnswer: 26\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5\/14*(3600\/250)\/(-6)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111011 - 101100?\nAnswer: -11100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -4. Which is the third biggest value? (a) -1\/7 (b) l (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 471 = -510. What is the remainder when l is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 7 + (-21 - 1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 837\/93) + 54\/(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvvvjvjvjvvjjvvvvv. Give prob of picking 2 j.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 25 = 5*l, 18 = -l + 3*u + 33 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 96913*m**2 + 1 - 96914*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -95 + 96. Is f at least -2\/143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218436 to the power of 1\/2, to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 10*j**2 + 13*j - 14. Let c be r(-8). Solve -c + 1 = -3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 + (-1 - (-143)\/(-26)))\/((-15)\/(-390))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 232*i + 236*i - 470*i. Suppose 3*v = 2*f - 5, 2*f + v + 16 = -3*v. Let s be k(f). Solve -2*x - 2 = s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1441*v**3 + 1428*v**3 + 10*v**2 - 10*v**2 - 2872*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 13*x - 5. Let j be w(12). Let t(o) = o**2 - j*o + 7 - o**2 + 0*o + 6*o**3. Let g(m) = 4*m**3 - 5*m + 5. Determine -7*g(u) + 5*t(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -2*k**5\/5 + 2*k**4\/3 - 5*k**3\/6 - k**2\/2 - 3*k. Let m be r(-6). Suppose -10*z + 9*z + m = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*r**3 + 3*r**3 + 2*r**3)*(-2 + 6 - 2) + (2*r**2 - 2*r**2 + 2*r**2)*(2*r + 0*r + r).\nAnswer: -56*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 186.\nAnswer: 2976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 + 3*s - 3. Let f(n) = n**2 + n - 1. Let q(b) = -9*f(b) + 4*u(b). Let w = 13 - 13. Let m be w + 1 + -2 - -3. Give q(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2 + 8 = 0. Suppose 0 = 3*h - 5*c - 17, -4*c - 17 = 2*h - 65. What is the third derivative of -38*a**2 - h*a**4 + 87*a**2 - 28*a**z wrt a?\nAnswer: -336*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 7*y + 50 = -2*y, 0 = 5*v - 5*y + 60. Suppose 3*j = 22 + 23. Let m = j + v. Solve -r + 4 = -3*h, -6 = -m*r + 14 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -6*q + 2*i + 121, -4*q + 5*i + 107 = 0. Suppose c - 9 = q. Suppose c*g + 770 = 37*g. What is the greatest common divisor of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 738 and 6519?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.92 - -0.9. Let a = l + -0.02. Let q = -6531 + 6530.8. What is the second smallest value in q, -0.1, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 44562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -55*t**3 + 16353*t**2 - 5838478 wrt t?\nAnswer: -165*t**2 + 32706*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3a6a (base 11) to base 16\nAnswer: -149f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - (1 - 1))*-4. Suppose 0 = 3*i - o - 16, 0 = i - 0*i + l*o + 12. Suppose -10 = q - i*k, -2*k - 3*k + 11 = -2*q. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2298\/(-24)*(-3 - 13)?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j + 1. Let d be v(-1). Let a = -1.216 + 3.216. What is the nearest to a in -5, -6, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 4:52 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -2)\/(5\/3 - 192\/(-1152)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -c**5\/5 + 5*c**4\/4 - 9*c**2\/2 + 2*c - 86. Find the second derivative of d(w) wrt w.\nAnswer: -12*w**2 + 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 4:07 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/6201 or 1?\nAnswer: -2\/6201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 124\/(-9) + (-2)\/9. Let l be (-64)\/d - (-2 + 6). Sort 2, 1\/3, l, -4 in decreasing order.\nAnswer: 2, l, 1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 3 (c) -5 (d) -0.74 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 39. What is the smallest common multiple of 9\/(g - (-1 - 3)) and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(95))\/(-4*sqrt(80)).\nAnswer: 3*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-63)\/(-14))\/((-1)\/(10\/42)) and 7\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -74.1 - 22.9. Let v = m + 106.9. Let n = v + -9.9199. Round n to three decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.748 in 1\/5, -3, 0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 297584 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: Let q = -0.4 + 1.4. Let l(r) = 2*r + 2. Let p be l(4). Let i = -0.2 - -0.4. What is the smallest value in i, q, p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, -24, -73, -126, -177, -220, -249, -258?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.193000913 + 1.193. Round x to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 21, 26, 33?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**2 - 32. Determine y(-5).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -390 - -390. Suppose 4*p - 16 = -5*w, -4*w - p + 0 + 4 = 0. Suppose w*f + 2*f - 4 = h. Solve -4*k - 2*a - 11 = 3, -f*k - 17 = 3*a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -317605?\nAnswer: 12\/317605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017218 rounded to 3 dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 27*z**3 + 2*z**2 - 1. Determine j(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*n + 35*n**3 - 138*n - 274*n**3 + 69*n.\nAnswer: -239*n**3 - 190*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 52*l**3\/3 - 40*l + 38. What is the derivative of p(a) wrt a?\nAnswer: 104*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -11. Let r = 48.405 + -50.405. What is the closest to 3 in r, s, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 1:34 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x + 513 = -663. What is the remainder when 246 is divided by x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 0.4. Let c be 0 + -8*(22 - 0). Let p be 4 + -1 - (-432)\/c. What is the smallest value in p, -3, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/5 + 4\/(-20). Let l(c) = c**3 + c**2 + c + 20. Let t be l(y). Let o = 165 + -65. Calculate the highest common divisor of o and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**3\/6 - 174*h. Suppose 0 = -0*r + 4*r - 4. Let l(d) = -26*d - 1 + r. Calculate l(s(y)).\nAnswer: 26*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 49*n + 286. Let l(w) = -w**2 + 96*w - 2054. Let t be l(64). Give o(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -2*r**4\/15 - 2*r**3\/5 + 4*r**2\/5 - 37*r. Let m(j) = 0. What is j?\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1542508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 186308058.6 rounded to the nearest 1000000?\nAnswer: 186000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 304238.3 + -335038. Let f = -30799.7500013 - d. Let l = f + 0.05. Round l to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a second in microseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.86 + 0.14. Let t = -14.9 + f. Do 0 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -23*i**2 + 23*i + 8. Let l be (64\/(-384))\/((-615)\/306 + 2). Let x(p) = -8*p**2 + 8*p + 3. What is l*x(v) - 6*j(v)?\nAnswer: 2*v**2 - 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 31 = 2*t, -4*z = -4*t - 2*z + 22. Suppose w - t = 1. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*v - 22 - 3, w = 3*v + 15. Let y(a) be the second derivative of -a**5\/20 - 5*a**4\/12 - 2*a**3\/3 - 5*a**2\/2 - 549*a. Determine y(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22742 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/425766 and -89\/51608?\nAnswer: 1703064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/4 and -81\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/71, -4, -2 in decreasing order.\nAnswer: 1\/71, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 60927 (b) 0.2 (c) -374\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 78 (b) 1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 not equal to 249\/179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/3))**36*(u**(2\/7))**34 assuming u is positive.\nAnswer: u**(152\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (114 + -179 - 10*-3) + (1 - -2).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 819 - 818.8. Which is the nearest to h? (a) -7\/5 (b) 1 (c) -1\/2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 26.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-1)*6 + 1)\/(-1). What is the second derivative of y*c + 2 - 88*c**3 + 20 - 16 wrt c?\nAnswer: -528*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 113 + 80. Does 33 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5626*r - 2313*r - 5*r**2 - 1662*r - 1651*r.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/6*-2*(1217 - 1218)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {j: 3, r: 3, m: 5}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-867)\/2754*-27 - 7. Solve 9\/2*q + 3 + w*q**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w - 25*w + 20 = 0. Find the common denominator of (-3)\/(252\/(-1934)) + w\/70 and -167\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4260*l**2 - 2139*l**2 - 2123*l**2. Let t(v) = 19*v - 2. Give t(r(b)).\nAnswer: -38*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 0*m + 28. Suppose -2*x = 34 - 4. Let s = x + 23. Calculate the remainder when m is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = -798 - 602. Let x = -30 - s. Suppose -2*a - 78 = 2*z - 278, -2*a + 4*z = -x. What is the highest common divisor of 38 and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 180\/79 - 7181\/1106. Find the common denominator of ((-390)\/(-12))\/(3 + 4) and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 711408076 to the nearest integer?\nAnswer: 26672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1126 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-18) + (-1162)\/(-84). Solve i*h - 11*h - 15 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2741*m + 5. Let f(l) = 12*l**2 + 69*l - 14. Let w be f(-6). Is t(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + (3 - -2 - (-96 - -104))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.969976705 rounded to 5 dps?\nAnswer: -0.96998","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/150*20\/(-8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 3*a - 3*z = -25, 3*a = -5*z + 15. Solve 3*u + 5 = -5*l, -a*u - 4*l + 0*l - 17 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + 4*g + 21 - 7, g = -5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13125 divided by 319?\nAnswer: 13125\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/201 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 44 - -b?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190373687.\nAnswer: 7, 2909, 9349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10102 + -11?\nAnswer: -10120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16020354.\nAnswer: 2, 3, 7, 29, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -3375428 smaller than -97887398\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -183, -3, 9, -4 in descending order.\nAnswer: 9, -2, -3, -4, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(539) + 1 + 1 + sqrt(275) + 2 + -4)**2.\nAnswer: -24*sqrt(11) + 1585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1771 + 3.1771. What is the smallest value in g, -0.27, 4?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 4*p + 7. Give g(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 26*m**2 - 237*m + 70. Determine f(7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**5\/60 + z**4\/4 + z**3\/3 - 5*z**2. Let p be h(6). Find the third derivative of -11*i**2 + i**4 - i**2 + 3*i**p wrt i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (1 - 3) - (1 - (34 - 8))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 439, -4, 2.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 113.0000051 + -113. Round c to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111\/1353104 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.4, -2\/7, 475, 0.078?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = -5*v + 5*y - 20, 3*v - y + 4 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - i**2 - 1 + (15*i - 9*i + 7*i)*(-3*i + 4*i - 2*i) + (-3*i + 0*i - i)*(9 - 9 + 15*i).\nAnswer: -74*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33294 is divided by 1094.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - -11 - (35 - 39)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b**3 + 2788734291684 - 2788734291684.\nAnswer: 11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 314012240 (base 5) in base 14?\nAnswer: 262937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*o + 84, 4*o + 136 = 2*m - 0*m. Calculate the remainder when m is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-232)\/14*(-21)\/6?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/6 and 7\/632.\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(162) - (sqrt(162) + -2)) + sqrt(162))**2 + ((sqrt(162) - (sqrt(162) + 3*sqrt(162))*-2) + sqrt(162))**2 + sqrt(162))*-6*-3.\nAnswer: 2754*sqrt(2) + 295668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((70\/(-35))\/12)\/(30\/9)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 430163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 - -45.99999954. Round z to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 644 = 5*k, -4*q - 73 = -k - 221. Find the common denominator of (-26)\/4*(-7)\/(-11) and k\/90*(-27)\/4.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -585126*k**4 - k**2 - 1059*k + 170.\nAnswer: -14043024*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*m + 657*m**2 - 17*m - 18*m.\nAnswer: 657*m**2 + 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x + 22. Suppose 2*t - 2283*w = -2281*w - 4, 0 = 4*t + w + 38. What is o(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47859*h**2 - 143586*h**2 + 47863*h**2 + 47869*h**2.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1113.04 from -1.\nAnswer: 1112.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - l - 10. Let o be x(5). Let m = o - -43. What is the remainder when 9 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88288.76t in grams?\nAnswer: 88288760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 2 + 2*f + 0*f - 3*f. Let t(p) be the first derivative of -2*p**3\/3 + 3*p**2\/2 - 5*p + 2. Suppose -15 = -3*m + 6*m. Determine m*u(s) - 2*t(s).\nAnswer: -s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7237556861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + (2 + sqrt(475) + 3 - sqrt(475))))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 62*m**2 - 13\/15*m**5 + 7\/3*m**4 + 0*m**3 - 1\/30*m**6 + 0 + 0*m. Determine s so that a(s) = 0.\nAnswer: -14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 3. Let c = 3 + d. Suppose 0 = -c*k + 4*k - 8. Calculate the smallest common multiple of 1 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighteenths of a day in seconds?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and 0.06168.\nAnswer: 0.0012336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -1 - 29. Is -4 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**4 + 282313*w**3 - w**2 - 9102*w + 1?\nAnswer: 24*w + 1693878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1114420 (base 6) to base 7.\nAnswer: 324306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 3*g - 16. Let a be m(-4). Let u(s) = 8 - a*s + 12*s + s**2 + 7*s. Suppose 0 = 3*z + 14 + 4. What is u(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1463926.\nAnswer: 2, 173, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/5 - 189*m\/5 + 374\/5.\nAnswer: (m - 187)*(m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 101*k + 21*k**3 + 27*k**3 - 47*k**3 + 136 with respect to k.\nAnswer: 3*k**2 + 101","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2\/37, -3\/5, -5, -3, -3\/2, 26\/867?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + i. Let h be y(2). Let g be 6*10*1\/(-4). Let k be h\/(-3) - g\/6. Which is bigger: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*g + n - 47, 2*n - 2 = 0. Suppose -7*f + 2*f + 60 = 0. Calculate the remainder when g is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 7*n**2 + 6*n + 9. Let d = -14 - -14. Suppose d = 2*l - 5*l + 9. Suppose -4*z + 9 - l = -h, 2*h = 5*z - 12. What is k(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97\/268978 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*1\/762*1. Is 1 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4473 + -27a?\nAnswer: 41d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 110697 and 30?\nAnswer: 1106970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 695013 + 117085 = 16*y + 27*y. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1788 + -1692. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**2 + 74406*u + 371955 = 0.\nAnswer: -24797, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.002 + -0.322467794.\nAnswer: -0.320467794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42243, -42170, -42087, -41988, -41867, -41718, -41535?\nAnswer: -41312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 2:47 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1459056622 to the nearest integer?\nAnswer: 38198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -36 + 9*j - j**2 + 22 + 13 + 14. Let u be i(10). Suppose 4*g - g - u = 0. Solve h - 15 = -3*l - g, h + 4 = 3*l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*54\/(-720))\/(5\/(50\/(-4)))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 27 = -n. Let f be (12\/8)\/(1\/(1752\/n)). What is the third derivative of -302*b**5 - 2*b**2 + f*b**5 - 5*b**2 wrt b?\nAnswer: -600*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a microgram in nanograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**2\/2 + 3*z\/2 + 9 = 0. Calculate z.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v + 64. Let h be a(0). Let b = h + -30. Let t = -16 + b. Calculate the highest common factor of 144 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h - 3*h - 3*h)*(3*h**3 - 2*h**3 - 2*h**3) + 4*h**4 - 10*h + 6*h - 2*h**4 in the form i*h**4 + f*h**2 + d*h**3 + u*h + t and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-6) - 51338487*230\/90. Let w = -71998356 - u. What is w rounded to the nearest 1000000?\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dk when two letters picked without replacement from {k: 3, h: 5, d: 3}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 629262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*p**1*p*p)*p))**(-47)\/(p*p**(-2\/3))**(-36) assuming p is positive.\nAnswer: p**(-129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 9*u + 59. What is j(14)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 - 59*y**2 + 33*y + 64. Calculate the remainder when 4859 is divided by s(29).\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 424007*h + 422577*h - 846585*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, a: 6, e: 4, z: 4}. Give prob of sequence aaee.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 160229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10502 is divided by 555.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 133 - 17 = 0. Let y = f + -13. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five sixths of a hour?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 3*w + 25, 0*w + 4*t = 3*w + 41 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, v: 2}. What is prob of picking 2 o?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + b + 4*b**3 + (-2*b**3 + 0*b**3 + 0*b**3)*(-1 - 3 + 2) - 2*b**3 + 4 - 4 - 15*b - 17*b**3 - 18*b**3 + 16*b.\nAnswer: -29*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 33*u + 21*u)*(3 - 4 - 1 + (1 + 1 + 0)*(-1 + 1 + 7) - 1 + 2 + 3 + (1 - 3 + 0)*(-2 - 1 + 2)).\nAnswer: -216*u + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -11 + (-1 + 2 + 6 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6248431 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3123519294 + -735?\nAnswer: -3123520029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -11 + (-11 - -5 - -14) - 67?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -145653 divided by -10\nAnswer: 145653\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -1\/108, 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 - -57. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 0, -1062?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.136152396 rounded to 2 dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 281\/4 + -70. What is the third smallest value in -4\/11, 0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/172 and 47\/16.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 - 3\/30*54. Which is the closest to -0.1? (a) 0.1 (b) k (c) -12\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12152*z**3 + 98 - 12229*z**3 - 98.\nAnswer: -77*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) -627888 (c) -1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 3*q + 2, 7*k - 2*k = 5*q + 30. Let i be 24\/(-10)*20\/(-6). Let m = i + k. What is the remainder when 36 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 32231112 (base 4) to base 11\nAnswer: 4129a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + y = 3*v + 381, 0 = -3*y + 3. Let g(a) = -v + 184 - 87 + 18*a. Let o(n) = n. Determine g(o(k)).\nAnswer: 18*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011 (base 2) in base 11?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 412, 400, 374, 328, 256, 152, 10?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7853478.\nAnswer: 2, 3, 31, 42223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 2*r - 2. Let j be u(-2). Suppose -d + 5*l - 21 = 0, d = l - j*l + 19. Do -2\/7 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 570 != 571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -71418 times -6.756\nAnswer: 482500.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 1515.\nAnswer: 7575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 322380 = -44*r. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -248 divided by -6.\nAnswer: 124\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**3 + 0*n**3 - 3*n**3 + (-2 + 5 - 2)*(n**3 + 0*n**3 - 3*n**3) + 3*n**3 + 0*n**3 + 0*n**3 - 2*n - 614 + 3*n + 604 + 2*n**3.\nAnswer: n**3 + n - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 411 (base 8) in base 3?\nAnswer: 100211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -2*q**6\/15 + 11*q**3\/6 - 10*q. Find the second derivative of a(h) wrt h.\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 25, 7, -59, -179, -359, -605, -923, -1319?\n\"Answer: -s**3 - 18*s**2 + 43*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 278008?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*12\/((-288)\/(-132))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klnod. What is prob of picking 1 l and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 11*v - 13*v - 3*v + 7*v. Let p(b) = -b**2 - 180. Calculate p(n(o)).\nAnswer: -4*o**2 - 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25366535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/(-4) + 21 + (-666)\/36 + (-3108)\/189.\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 8*z**2 + 14*z + 17. Let x be g(-6). Which is the second smallest value? (a) 1 (b) x (c) -12\/43 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 972 and 1701.\nAnswer: 6804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - m**2 - 8*m - 1. Let h be b(-5). Let u be (-2 - h)\/(1\/(-25)). Let q = 6525 + u. Round q to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11, -4, -29, -64, -109?\n\"Answer: -5*g**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s + 3. Let a be y(8). Let u = a - -7. Suppose -12 = 2*v - 3*v. Solve v = -u*z + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57210*l**2 - 57210*l**2 - 1 + 152*l**3.\nAnswer: 152*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2599 - 2599 - 9433*z.\nAnswer: -9433*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6523 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2 + 1 + sqrt(2448) - ((1 + sqrt(2448))*5 + sqrt(2448)))**2.\nAnswer: 240*sqrt(17) + 61199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3\/2)*(88\/110 - (-123)\/(-410)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-455)\/25 - -5 - -13\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h. Let s(b) = -b**3 - 10*b**2 - 10*b - 9. Let o be s(-9). Let n = o - -2. Let t(r) = -r**2 - r**2 + 0*r**2 + 4*r**n. Determine q(t(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1454, -1399, -1344?\n\"Answer: 55*s - 1509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xr when two letters picked without replacement from {r: 2, d: 2, n: 1, t: 1, x: 1, o: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*v + 3*v = -5191 for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1219110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 2061 = -15*s - 4*w, 3*w - 12 = 0. What are the prime factors of s?\nAnswer: 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/6275 and -33\/102910?\nAnswer: 514550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236*h - 7981 = -111*h. Solve -16*y + 55 = h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/1951 in -18\/5, 5, -2\/9, -2\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/97 (b) -1 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-1 - (4 - 4 - -2)) + -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -307*o. Let u(x) = -2*x**2. What is u(i(l))?\nAnswer: -188498*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*w = -290*w - 4*m - 36, -w - 2*m - 14 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156 and 55900.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.4742 + 366.2488. Let p = i + -372. Round p to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 10. Let a be w(9). Let z = -6 - a. Let q be (0 - -6)\/(-3) - z. Solve q*t = -10 + 35 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 5*w + 2. Let b(i) = i**2 - i. Let k be (-6*(-5)\/12)\/((-15)\/6). Give k*v(j) - 2*b(j).\nAnswer: -3*j**2 - 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1143*i - 15710 = 1051*i + 12812 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6374*d + 6013*d - 1 - 1 in the form b*d + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (204\/136)\/(18\/492).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100525270 to the nearest integer?\nAnswer: 10026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sc when two letters picked without replacement from sccsccccscssccscccs.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*p - 129 = -179*p + 3*o, 2*p + 5*o = 114. Calculate the greatest common factor of p and 2021.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 8, o: 3, c: 2, d: 3}. What is prob of picking 1 g and 3 o?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - (-7)\/4)*5. Let x = -3 + 5. Let s = -4 + x. What is the closest to s in -4, r, -2\/11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-102)\/(-8) - 9\/(-36). Suppose w + 2 = f. Let c be 2\/w + (-4)\/22. Solve c*v - 2*v - 6 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 10*q + 386. Let o be d(-38). Solve -s + 4*m + 1 = 0, -3*m - 18 = -3*s - o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - -1 - ((34 - 40) + 5).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -2, 9, 26, 49, 78, 113?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2982 is divided by 373.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 7:46 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 e when two letters picked without replacement from {w: 3, e: 1, l: 6, k: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 4:49 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2\/2 + 3955*q - 1299431\/2 = 0.\nAnswer: -8071, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -38b7b9 + -5?\nAnswer: -38b802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 120?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 19 = -4*v, -4*v + 3*c = -7*v + 21. Let u = v + -4. What is the least common multiple of (3 - 14)*(u + -1) and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -28, -160, -418, -832, -1432, -2248, -3310?\n\"Answer: -5*b**3 - 33*b**2 + 2*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 2*a**2 - 3. Give s(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -261*w**2 + 172*w**2 + 99*w**2 - 454*w**2 + (w - 4 + 4)*(3*w - 4*w + 3*w).\nAnswer: -442*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 47 = -y, 3*y + 193 - 59 = 5*j. Suppose 2*u = -3*u + 25. Calculate the highest common factor of j and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 9 + -2 + -3. Let v = y - -6. What is the remainder when 48 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*q + 2 + 32 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 w when two letters picked without replacement from quqqkukjwqkkkkuk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/235*90\/15*3060\/(-1836)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 9:35 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4*x - 488 = 0. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -505 + 1066. Round b to the nearest ten.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1636\/4917 - -1\/1639. What is the second biggest value in 6\/17, r, 0.8?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21515692 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10443 by 4.\nAnswer: 10443\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 4*o = o + 8, 0 = 2*r - 2*o - 2285 + 2271 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, t: 4, k: 3, y: 2, n: 6}. Give prob of picking 1 t, 1 n, and 2 k.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 3464.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - 55) + 26 - (12 - -1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 180*s**2 + 15. Suppose -65 = 3*c - 16*c. Let z(r) = 358*r**2 - r + 29. Let m(b) = c*t(b) - 3*z(b). Find the second derivative of m(x) wrt x.\nAnswer: -348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -132, 2\/35, -0.214 in increasing order.\nAnswer: -132, -0.214, 2\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1346 + -1275 - (-27 + 0 + 2)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -131*z + 1558. What is d(12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29576 is divided by 155?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, v: 3, u: 1, d: 1, m: 2}. What is prob of picking 1 l, 1 d, 1 v, and 1 u?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (765\/150)\/(((-13)\/52)\/(80\/(-32)))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -11*x**2. Let k(i) be the first derivative of -3*i**2\/2 - 2. Determine q(k(o)).\nAnswer: -99*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24 - (3 + -2)*-2. Let i be (r\/2)\/((-2)\/4). Is (6\/3)\/((-4)\/i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n - 3. Suppose 3*w = 18 - 0. Let f be i(w). Suppose -2*c = -f - 9. Solve m = 3*q + c, 5*q = 4*m + 2*q - 9 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 75 = -3*y, -3*p + 6*y = y - 295. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -51\/656 at most as big as 91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q + 194 + 83 = -5*o, 7 + 14 = o - 3*q + 98 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10\/25)\/(-1))\/((-40)\/1800)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 56244001 - -2?\nAnswer: 56244003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -15166 times 696\nAnswer: -10555536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86521 is divided by 43216?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -105 - -71. Let d = 38 + k. Sort 69, 1, d in increasing order.\nAnswer: 1, d, 69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -198535\/16712 + 10\/2089. Find the common denominator of t and 1\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 128384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7106 (b) 0.3 (c) 9\/2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 9.3. Which is the closest to 0.4? (a) 2\/9 (b) h (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of 3\/5*i**5 + 6*i**2 + 0 - 23\/3*i**3 + 0*i + 0*i**4. What is the first derivative of s(n) wrt n?\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -675 - -680. Suppose i*c + 44502 = 135067. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*h + 210*h - 2290*h**3 - 103*h.\nAnswer: -2290*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63 + (0 - 3) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 35. Let -4 + 6*l**3 + 2 - j*l**3 + 7*l - 4*l**2 + 9*l**2 = 0. Calculate l.\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 1 - 7. Suppose 3 = -r + 28. Suppose 0 = 4*f - g*o - 2*o - 32, -f = 3*o - r. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 53*t - 276 + 96 = 0. Factor -12\/7*c**2 + 0 + 0*c - 6\/7*c**t - 18\/7*c**3.\nAnswer: -6*c**2*(c + 1)*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*b = -139*b + 198 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**4\/24 - d**3\/6 - 8*d**2. Let x be u(1). Is 12 a factor of 1\/(x\/72)*10\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/112914 or 0?\nAnswer: -13\/112914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/341 and -113\/310.\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2060 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 402515998 to the nearest integer?\nAnswer: 20063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 384986983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100114344 (base 5) to base 11.\nAnswer: -24a828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111230402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36206.\nAnswer: 2, 43, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a day in minutes?\nAnswer: 15120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 3*q - 82 + 59 = 0, -3*r - 5*q - 45 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13972680677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4\/17*u**2 - 10\/17*u + 24\/17 = 0.\nAnswer: -4, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 138.96335159 + 6.03665571. Let g = -49 + 194. Let o = g - d. What is o rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.40177 less than -7?\nAnswer: -7.40177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*v - 76433, 5*g - 3*g + 30569 = 3*v. Round g to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -460891*k**2 - 2*k - 3. Let a(c) = 2*c**2. What is y(a(o))?\nAnswer: -1843564*o**4 - 4*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -38*t**7\/7 + t**5\/5 - 2*t**3\/3 + 2*t + 97. What is the third derivative of a(r) wrt r?\nAnswer: -4560*r**3 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -112, -195, -320, -493, -720, -1007?\nAnswer: -1360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1379 < -1381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 534740b (base 12) to base 15\nAnswer: 15b82e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2700 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 q when two letters picked without replacement from adantmnnnaqn.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-60)*-5)\/(4\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 256 and 1.78?\nAnswer: 455.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.3 (b) 3 (c) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 272 and 68?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b6 (base 16) to base 2.\nAnswer: -110110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g + 6. Let r be n(7). Let w = r + 13. Put w, 2, -5 in ascending order.\nAnswer: -5, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ba5b (base 14) to base 15.\nAnswer: -15de6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229*i - 1787 - 961 = 0 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3.9, -0.4, -5, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55.95 - -56. What is the closest to -1 in 1\/5, -1\/2, c?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -116266 at least -5\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 7*i + 10. Let q be h(-6). Let k(t) = -t**2 - 1. Let x = 63 - 64. Let y(l) = -2*l**2 + l - 5. Determine q*k(c) + x*y(c).\nAnswer: -2*c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18762, 18782, 18802?\nAnswer: 18822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1\/18)*j*j*j\/(j\/(j*j*j\/j**(-16\/3)))*(j*(j\/(j*j**(2\/17)))\/j)\/((j\/(j*j\/j**6))\/j))**(2\/161) assuming j is positive.\nAnswer: j**(313\/3519)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -14*r**2 + 92*r - 82. Let z be w(1). Let q = 2.04 - 0.04. Which is the fourth biggest value? (a) z (b) -0.1 (c) q (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fnfffdffffffffff. What is prob of picking 1 d and 3 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8\/3 (b) 2 (c) -209 (d) 1\/591\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1\/5))\/((p\/(p\/p**(12\/7)))\/p) assuming p is positive.\nAnswer: p**(3\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 g when two letters picked without replacement from {g: 4, j: 4, x: 2, z: 1, h: 5}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 2:07 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 8*r**2 - 3*r - 7. Let o be v(-7). Suppose 4*q - y = 2*y + o, 2*q - 5*y = 35. Calculate the remainder when 59 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**3*l*r + 683*b**3*l + 467*b**3*r - 2*b**3 - 292*b**2*l*r - 131*b**2*r - 3*b**2 + b*l*r + l wrt b.\nAnswer: -18*l*r + 4098*l + 2802*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 0*g + 2 - 1\/2*g**2. Let m(n) = 5*n**2 + n**2 - 2*n**2. What is m(l(y))?\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**5 + 672241*l**4 + 8243*l - 58.\nAnswer: -40*l**3 + 8066892*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 230.59 + -231.09. What is the fifth biggest value in 0, 0.06, -5, y, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -36*o + 40. Let p(b) = 7*b - 8. Let y(h) = -16*p(h) - 3*x(h). Is y(-4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 9:07 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**5\/12 + a**4\/8 - a**3 + 852*a**2. Let h(x) = -5*x**2 + 4*x - 7. What is 6*h(u) - 7*i(u)?\nAnswer: 5*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 10*h**2 + 6*h + 5. Let d be q(-7). Let i = 183 - d. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -303539 - -0.5.\nAnswer: -303538.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -63994.714 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {e: 4, n: 6}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-10)*(-83)\/(1743\/270).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 11:57 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*1*(-3 + 2). Find the first derivative of -q**2 - 2*q**2 + 3 + p + 1 wrt q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 8524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114890626?\nAnswer: 2, 1871, 30703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -9*y - 2. Let s be r(-4). Suppose -5*q - 5*f + 200 = 0, -q + 86 = -5*f + s. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*1\/3*3. Suppose i = 5*h - 272 + 62. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1052140564 to the power of 1\/3, to the nearest integer?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 359 - 365. Let n be b\/(-4) + (-141)\/(-94). Solve -l + 3*a + 9 = -6, n*l - 2*a = 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-2) - (2 + -13293). Let s = -292349\/22 + v. Calculate the common denominator of s and -95\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*1\/3*-6. Let f(z) = -z**3 - 5*z**2 - z + 4. Let b(t) = -t**3 - 5*t**2 - 2*t + 4. Let c(d) = 2*b(d) - 3*f(d). Let l be c(-5). Solve m = s + l for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1899?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -484*d**4 - 11704*d**3 - 71460*d**2 - 129600*d = 0.\nAnswer: -16, -45\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 1)*(-3*i**2 - 2*i**2 + i**2) + (-204*i + 448*i + 193*i)*(4*i - 5*i + 4*i).\nAnswer: 1331*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-2))\/(3\/6). Suppose -2*j = -d + 41, m*d - 4*d + 41 = 5*j. Let a = d + -4. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 103291192*x**2 - 140554175 with respect to x.\nAnswer: 206582384*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2778 - -2777. Sort w, 0, -936, 5.\nAnswer: -936, w, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 36*j**2 - 34*j + 49. Calculate v(-35).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-9) - (-14)\/(-6). Let b be p\/(-3) - 34\/(-3). Let n = -2 + b. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*u = 4*u - 10, 5*u = 15. Suppose 5*c + m*s + 3*s = 40, -2*s = -5*c + 5. Let x(p) = -3*p**3 - 3*p**2 + 2*p**3 - c*p**2 + 2*p - 5*p. Determine x(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -22 + -4 + 2 + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11\/5 (b) 0 (c) 2\/16555\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/6*4\/(-7). Let d = -1.86 - -6.78. Let y = d - -0.08. What is the smallest value in -5, s, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-4) + (-35)\/(-20). Suppose -5*l - 5*y + 1035 = 0, 0 = w*l + 4*y - 121 - 297. Suppose 0 = 3*a + 2*a - l. 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 be (-2)\/16*(-96)\/(-16). What is the smallest value in 5, u, -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 4*w - 136. Suppose 0 = -o + 5*m + w, 4*o = -0*o - m + 136. What is o rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -9*b**2 + 447*b + 174. Determine h(50).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116 and 34423.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g - 6. Let v be k(15). What is the greatest common divisor of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 380493 to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -6 - -3 - (5 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99556, -5, 9, 2.\nAnswer: -99556, -5, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-3)\/4 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 - ((-1 - 5) + 7). Solve -3*y + u = 4*d - d, 4*d - 7 = -5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xa when two letters picked without replacement from {a: 4, x: 5, g: 1}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 2847 = -73163. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**2 + 0*s**4 - 21978*s**3 + 4*s + 3 + 21982*s**3 + 26 - 5 - 5*s**4 as y + w*s + g*s**3 + r*s**2 + c*s**4 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 55*d**3 - 446*d**2 + 37*d + 65. What is h(8)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 50*p**2 - 209*p - 194. Give y(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -114 - -108. Let v be (-1 - 1)*3*d\/(-99). Let u = 4.89 - -0.11. Which is the nearest to -1? (a) v (b) u (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*t + 2*t. Let a(h) = -h**2 + 5*h + 10. Let l be -2 - -3*24\/9. Let j be a(l). Solve -i = -3*k + t + 6, k = -j*i - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**4 - 2*x**2 + 2*x - 2. Let m(r) = 0*r**4 - 3 + 2 + 0*r + r**4 + r. Let p(w) = 6*m(w) - 3*o(w). What is the third derivative of p(h) wrt h?\nAnswer: 216*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 2. Suppose 7 - 19 = 3*o. Let w be 5*(-3)\/12*o. Solve n = -4*z + p, -p + 2 = 3*z - w for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c*c**(-2\/5))\/c))**49)**(-1) assuming c is positive.\nAnswer: c**(-343\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d**2 - 153*d**3 + 0*d**2 + 7*d**2.\nAnswer: -153*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2003 + 1819 = 184*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(198)\/sqrt(6) + sqrt(33)))\/(sqrt(15)\/sqrt(5)*-5).\nAnswer: 6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a = 5*m - 41, 2*m + 26 = -414*a + 409*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 0 - 3 - -17) + -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, 5, 7, 24 in increasing order.\nAnswer: -75, 5, 7, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14318 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l**3 - 2*l**2 + 1. Suppose 0 = 9*v - 14 - 4. Give x(v).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 247, 1758, 5915, 14038, 27447, 47462, 75403?\n\"Answer: 220*q**3 + 3*q**2 - 38*q + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55.000167 + 55. Round n to 5 decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466594009 to the power of 1\/4, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 6317?\nAnswer: 56853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2662340*f**2 - 4*f + 86543 wrt f.\nAnswer: 5324680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*y + 4*t + 28, 0 = 4*y + 3*t - 131. What is the highest common factor of 96 and y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 690, 0.909, -0.4, -25?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6758773447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/4))**22*(n**(-2\/3))**(12\/11))\/((n**(-2\/5)\/n*n*n)**(-9))**(-32) assuming n is positive.\nAnswer: n**(-18483\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4544\/299543 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6140 = 10*x - 6060 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65.0179 + 65. Round z to 3 decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -13\/7, -0.3, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130 and 455?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 44, 18, 404.\nAnswer: -31, 18, 44, 404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c\/(c\/(c\/c**(1\/5)))))**(-38)*c**9*c\/(c**(1\/2)\/c))\/(((c*(c*c**8\/c)\/c*c)\/(c**(-1\/3)*c))\/(c*(c**3*c)\/c*c**(1\/2))) assuming c is positive.\nAnswer: c**(556\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u + 167. Let x(f) = 103 - 3*f**2 + 93 - 290 + 94. What is x(w(n))?\nAnswer: -3*n**2 + 1002*n - 83667","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (271 - 183) - (27 - 1).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + (-57)\/15)*-5. Solve -18 = 2*z + b + 3*b, -r*z = -3*b + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 308*8\/40 + (-2)\/(-5). What is the highest common factor of 186 and x?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/108 and 139\/324.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15\/10)\/(4\/6016*6). Suppose 5*c - a = 958, -5*c = -3*c - 4*a - g. 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: Let i(y) = -y**3 - y**2 - 8*y - 6. Let l be i(-1). Solve -z + 1 = 3*g - 15, 4*z - l*g - 8 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13939, -27880, -41827, -55780, -69739?\n\"Answer: -3*p**2 - 13932*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*u + 75*u - 8*u**3 - 25*u - 12 - 25*u to the form v + y*u**2 + o*u + j*u**3 and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34.66 - 34. Let z = n + 2.24. Let a = 2.900011 - z. Round a to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m - 8*m + m - m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 5. Suppose -4*w - 50 = -w + 4*d, -4*d + 76 = -4*w. Let k = w - -20. Solve k*h = 3*g - 2, -g + q*g = h + 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2667179.\nAnswer: 293, 9103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22437 (base 9) to base 3.\nAnswer: -202111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -51*p + 56*p - 680, -279 = -2*p + 3*f. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000040333926 rounded to 7 dps?\nAnswer: 0.0000403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 17, 4, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 4\/(-4))*(-158 - 1). Let n = o - 154. Which is the third biggest value? (a) -3 (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 11*i - 71. Calculate q(-13).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/6*-5*(-6)\/315. Let u = -37.2 - -37. Which is the nearest to 2\/3? (a) h (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 20 (b) -2 (c) -59.76 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ph when two letters picked without replacement from pahhwa.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 7 + 3 + s)*(-2 + 0 + 3) as r + l*s and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d + 1 - 1 + 22*d in the form v + l*d and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 12112?\nAnswer: -12200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.36 - -4.24. Let q = 5 - v. Let z(s) = s**2 - 12*s + 2. Let h be z(12). Sort h, q, 0.5.\nAnswer: q, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5516, 21571, 48162, 85289, 132952, 191151?\nAnswer: 259886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3128991218 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**3 + 8*t**2 - 2 - 22*t**4 - 9*t**2 - 1909*t + 1910*t + 181*t**4 in the form b*t**3 + r + y*t**2 + u*t + s*t**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**3\/11 + 15624*a**2\/11 + 30513672*a\/11 = 0.\nAnswer: -3906, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 2 + (-27 - -22)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 4*i + 5, 1 = 2*i - 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 127.06605222 to one decimal place.\nAnswer: 127.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*v - 2 + 0 + 4*v)*(-v + 5*v - v) in the form l*v + d*v**2 + a and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3321 + -3244. Calculate the remainder when u is divided by (-1)\/4 + 484\/16.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/(-2))\/(6\/8). Let i = -3 + r. What is the third derivative of 7*s**2 - 5 + 2 + i + 7*s**3 wrt s?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 7:00 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*n + 742 = 0, 3*n - 3626 = -7*o + 2*o. What are the prime factors of o?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c**2 - c**3 + c + 1 + 0 + 0*c. Let s be (2\/(-5))\/(13\/(-65)). What is the lowest common multiple of o(s) and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v. Let l = -2 + 5. Let i(p) = -5*p**2 - 27*p - 25. Let z be 2*(-10)\/8*(-16)\/(-40). Let r(q) = l*b(q) + z*i(q). Solve r(u) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48.021 * 0.5.\nAnswer: 24.0105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (143\/33 - (-2)\/3)\/1. Solve i*p - 4 = 4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(3200) + (sqrt(3200) + sqrt(3200)*-2 + -3)**2) - ((sqrt(300) - 1*(sqrt(300) - sqrt(300)*-1 - sqrt(300))) + sqrt(300))\/((-1*sqrt(42))\/sqrt(7)).\nAnswer: -3209 - 275*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -618.44 and -119.\nAnswer: -737.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -31*i. Let y(b) = -67505*b**2. Determine y(c(o)).\nAnswer: -64872305*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -155 + 155 + 45*q as m*q + i and give m.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 1197.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, i: 3, u: 1, j: 2, s: 4}. Give prob of picking 1 t and 1 j.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((((sqrt(45) - sqrt(405) - sqrt(45))*-5 - -4*(sqrt(45) + 0)) + 4)**2 + sqrt(315)\/(2*sqrt(28)) + -3).\nAnswer: -48774 - 5481*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54299257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 0*w + 4*w - 24, -2*a + 2*w = 0. Suppose 5 = 3*x - 2*k, -5*x + 2 + 5 = -a*k. Is x at most as big as 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.12? (a) 0.4 (b) -2\/9 (c) 3 (d) 1 (e) 80 (f) 11\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 704526.9 milliseconds in microseconds?\nAnswer: 704526900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*i**4 - 192*i**2 + 7594*i**3 - 3796*i**3 - 3*i - 3798*i**3 - 19*i**6 wrt i?\nAnswer: -2280*i**3 - 648*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and -83.\nAnswer: -1245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.98173 + 0.01827. Put 4, 0.1, h, 5\/44 in decreasing order.\nAnswer: h, 4, 5\/44, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 11*g - 5. Give l(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1197.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, p: 1, x: 1, o: 1, z: 4}. Give prob of sequence ovp.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/16)\/1*-12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 + 24*k - 12. Give y(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -3*d - 150. Let p = -43 - d. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-13)\/(j**(-13)\/j))\/((j**(3\/8)\/j)\/(j*(j\/j**(2\/21))\/j)) assuming j is positive.\nAnswer: j**(425\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -2*o - 18 + 41, -4*f + 32 = 4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*16\/104*11.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z**2 - 6*z - 6. Let u(k) be the first derivative of 1\/2*k**2 + k - 179. Determine j(x) + 6*u(x).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-8))\/(1\/16). Suppose -3*n - a = -8*u + 5*u, 0 = -n - 2*u + 11. Suppose -5*d + 18*d - 78 = 0. What is the smallest common multiple of n and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95765.\nAnswer: 5, 107, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-22)\/(-8)))\/(91\/(12012\/(-360))).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 165801, 165806, 165815, 165828, 165845, 165866, 165891?\nAnswer: 165920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73 + -13. Calculate the remainder when j is divided by (-2)\/(((-213)\/36)\/(-1) - 6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 31, 10, -27, -80, -149, -234, -335?\n\"Answer: -8*u**2 + 3*u + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78645*v**3 - 156563*v**3 + 77909*v**3 + 4*v.\nAnswer: -9*v**3 + 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n*(n*n\/(n\/(n**7*n)*n))\/n)\/n*n*n\/n**(-2))**(-6))**42 assuming n is positive.\nAnswer: n**(-3024)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 15) in base 4?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*v**2 + 1 - 60*v**2 - 50*v**2 + 10*v**3 - 1.\nAnswer: 10*v**3 - 27*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52.78426 - 16.\nAnswer: -68.78426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 895*h + 426 - 1163 = 884*h for h.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68 + 70. What is the closest to s in 3, -0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 1. Let j(n) = 5*n - 1. Let h(k) = -k**3 + 15*k**2 - 54*k + 1121. Let w be h(16). Give w*j(a) - 2*f(a).\nAnswer: 5*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 9441 + 9441 - 28331 + 9446 + 288*u - 2053*u as q*u + a and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(162)*1)**2 + -5 - (sqrt(24)\/sqrt(48) + -3)) + -5.\nAnswer: -sqrt(2)\/2 + 159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 4515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + 1.8. Let x be (-26)\/364*-3*2. Which is the nearest to 3? (a) x (b) h (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4254 (base 7) in base 12?\nAnswer: a59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46640968 and 316.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 621?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 1:19 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68 by -1245384.\nAnswer: 17\/311346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-104)\/28*(-14)\/4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/45*(-3)\/(-1)*-3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 62638581 + -5?\nAnswer: 62638575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -11*s**2 - 2*s + 1. Let w = 2 + -4. Let h be (-19)\/(-3)*(-6)\/w. Let o = h - 18. What is x(o)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -453 divided by -8\nAnswer: 453\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 774.01548ms?\nAnswer: 0.0002150043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i = -9*i - 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/((f\/(f**6\/f))\/f))\/f)\/(f*f\/f**(-2\/3)))**(-2\/13)*f**0*f*f*f*f**(-6\/5)*f*(f\/((f\/f**0)\/f*f))**(-47) assuming f is positive.\nAnswer: f**(476\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -13 (c) 56086\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*x - 887*x + 47*x - 7664 = 16486 for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 21*d**2 + 14*d - 99. Let w be q(-20). Let m(a) = -7*a + 147. What is m(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -384\/583 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(2450) + 1*sqrt(2450) + sqrt(2450) + 3 + -5))**2 + (-2 + ((sqrt(2450) - sqrt(2450)*2) + -5)*5)**2.\nAnswer: 9030*sqrt(2) + 84033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5\/6, 6, 2\/13, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3856160 and 9632?\nAnswer: 165814880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) -13065 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1113590202.\nAnswer: 2, 3, 17, 10917551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3065818.809827 - -3065821. Let d = -354.19 - -352. Let r = o + d. Round r to 5 decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 356, 729, 1104, 1475, 1836?\n\"Answer: -x**3 + 7*x**2 + 359*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 99*j - 23. Suppose -28 = -37*w + 30*w. List the prime factors of c(w).\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 2)*(1 + 3 + 2)*(1 + p - 1)*(13*p - 3*p**2 - 13*p).\nAnswer: -54*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2. Let n(v) = 513*v. Calculate n(u(g)).\nAnswer: -1026*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -21*o**2 - 4*o - 3. Let t(j) = -41*j**2 - 9*j - 7. Let i be (10\/30 - 10\/(-15))*-3. Give i*t(u) + 7*v(u).\nAnswer: -24*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*sqrt(343) - sqrt(343))**2.\nAnswer: 1370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 18*q - 5*s + 2*s - 14, -210*q + 211*q - 3*s + 11 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 17.5 * -0.04254\nAnswer: -0.74445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 57958483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 133 - 845 = 0. What is the remainder when d is divided by 44?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-130)\/(-104)*(-104)\/(-195)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -43*t + 49*t. What is the greatest common divisor of 18 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 72.69637 to the nearest integer.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -128 - 34?\nAnswer: -15c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2657846?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-128 + 350 - 126)*(-3*g**2 - g**2 + g**2).\nAnswer: -288*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + 24*p**3 + 24*p**3 - 46*p**3 in the form a*p + l*p**3 + m + u*p**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 3, 0.5, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, c: 6, e: 1, q: 7}. Give prob of sequence yyqe.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67 + -64. Solve o*q = -v - 4*v + 10, -7 = -q + 2*v for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -38, 1, -1, 25 in ascending order.\nAnswer: -38, -1, 2\/15, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 6:33 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 14 - 64 = 0. Let i = x + -23. Suppose -i*y = -5*r - 1277, -3*y + 332 + 921 = r. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - -3. Suppose 4 = -g, 2*h + c = -4*g - 3. Let j = -5 + 10. Solve 2*a = -h - j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162933100 divided by -1870?\nAnswer: -87130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 + (0 + 1 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c**3 - 16*c**3 - 10*c**3 + (-7*c + 5*c - 6 + 4*c)*(0 + 3 + 4*c**2 - 3*c**2)*(3 - 6 + 1) as p*c + q + w*c**3 + f*c**2 and give q.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -9*k - 2 + 2. Let a(f) = f + 3. Let x(v) = 14. Let s(q) = 5. Let g(c) = 17*s(c) - 6*x(c). Let m(i) = a(i) - 3*g(i). Determine m(h(y)).\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 63*a + 102. Determine s(60).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 5*j**2 + 4*j - 2. Let d be q(5). Suppose 3*s - 2*g - 3 = 2*g, 2*g + 4 = 2*s. What is the remainder when d\/2 - (0 - -1) is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 4*t - 10, 2*t = -3*t + 20. Suppose -2*s - q*s = -4*g - 64, g = -2*s + 35. Calculate the greatest common divisor of 51 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*sqrt(8064) - sqrt(8064))*1)\/(3*sqrt(24)\/sqrt(3) - 5*sqrt(8)*4).\nAnswer: -12*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9*(6\/(-3) - -3). Calculate the highest common factor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*l**5\/5 - 536*l**4\/5 - 192*l**3\/5 + 536*l**2\/5 + 36*l = 0. Calculate l.\nAnswer: -1, -1\/3, 0, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y + 7. Let h(c) = -9*c + 1 + 4*c + 0 + 4*c. Let v(u) = g(u) + 2*h(u). Let d be v(7). What is the smallest value in d, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2520 + -2518. Let p = -1.6 - -8.6. Let z = -11 + p. Which is the nearest to 0.1? (a) -3 (b) z (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**8\/(v**(-2\/19)*v) assuming v is positive.\nAnswer: v**(135\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 116 + -112. Let i(c) be the first derivative of -c**a + 0*c + 0*c**2 + 2 + 2\/3*c**3. What is the third derivative of i(l) wrt l?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 4268?\nAnswer: 17072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -155 + 176. Let p = r + 7. What is the remainder when 42 is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 17. Let v = -4 - -1. Let c = v + w. Let i(t) = -7*t - 3. Let k(p) = 4*p + 2. Calculate c*i(s) + 5*k(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 0 - 1\/48*i**4 + 1\/240*i**6 + 0*i + 7*i**2 + 0*i**5 + 0*i**3. Let o(d) = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201*v + 183*v = 400*v - 2560. Calculate the remainder when v is divided by 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -511 by 1.\nAnswer: -511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45451?\nAnswer: 7, 43, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10920, 21843, 32766, 43689, 54612?\n\"Answer: 10923*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -247 greater than -46284\/187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -217 and 316.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -9113*s**4\/24 - 14563*s**2. Let u(i) = -2*i**2. What is u(w(y))?\nAnswer: -166093538*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 116 = 2*h, 103 = 3*x + h - 61. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 3*o - 16, 3*r = 5*o + 14. Suppose -2*j = j + 3. What are the prime factors of (j\/2)\/(r\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -131 - -140. Calculate the greatest common factor of r and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5184 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express n - 1 + 1 + (0*n + 0*n + n)*(-2 + 4 + 0) + 4*n - 3*n + 0*n + (3*n + 0*n - 2*n)*(3 - 3 - 1) in the form k*n + x and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3159 is divided by 1085?\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -511*r**2 + r**2 - 1163*r**2 + 30*r - 30*r.\nAnswer: -1673*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + n**2 + n. Let t be r(0). Suppose 4*j = 3*b + 2 + 2, -2*b + j + 4 = t. Is b a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2. Let u(z) = -2260*z. What is u(a(f))?\nAnswer: -4520*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -116\/49?\nAnswer: -116\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4462*f**2 + f + 9668 wrt f?\nAnswer: -8924*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -209 - -219. Let c(k) be the second derivative of -3*k**3\/2 - k. Let z(b) = -4*b. Determine p*z(u) - 4*c(u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 69976, 278361, 625676, 1111927, 1737120, 2501261?\n\"Answer: d**3 + 69459*d**2 + d + 515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-6))\/((-53)\/(-742)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 + (8 - (-2 - -9))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9674423.\nAnswer: 11, 879493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 330 (base 9) to base 13\nAnswer: 17a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 506259?\nAnswer: 1\/506259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.00057 + -1.59943. Sort -0.5, g, -18 in decreasing order.\nAnswer: -0.5, g, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 - 50.9. Let u = -0.3 + -0.5. Let x = u - -0.3. Which is the nearest to -0.3? (a) x (b) h (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 103011?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 390717627 and 183.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 6*v - 3. Let n be f(-5). Calculate the smallest common multiple of (-45)\/(-2) - n\/4 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((27\/174)\/(18\/12))\/9?\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/17 + 1619026*p\/17 - 3238060\/17.\nAnswer: 2*(p - 2)*(p + 809515)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1246 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/31917 and -18\/53195.\nAnswer: 159585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -954?\nAnswer: 952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 27\/269422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -18419 divided by -1?\nAnswer: 18419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 2*a - 16*y - 53 - 69 = 0, 8*a = 12*y - 15*y - 37 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/5*245\/98.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4592 by 82.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0.3. Let f = -17807 - -17805. Let i = -4.8 + -0.2. What is the third smallest value in v, f, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -23, 4, -2, -42 in increasing order.\nAnswer: -42, -23, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**4 - 18899370*j**3 - 39687372943452*j**2 - 27780301167222562374*j - 83340546315821478801 = 0. Calculate j.\nAnswer: -2099929, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 11*l + 15*l = 18, -2*x + l - 8 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/7 of a week in minutes?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.04+2434134\nAnswer: 2434134.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -984 = 18*o - 22*o. Calculate the greatest common factor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -31*z**2. Let g(n) = 5*n**2 + 6*n + 12. Let l(s) = -s**2 - s. Let p(h) = g(h) + 6*l(h). Let o(m) be the first derivative of p(m). What is r(o(y))?\nAnswer: -124*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1143164 tonnes in micrograms?\nAnswer: 114316400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 4800*x - 209291. What is g(-44)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101100101000000000111 (base 2) to base 8.\nAnswer: -15450007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49236745 to the power of 1\/3, to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85\/(13090\/(-132))*6\/(-4).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1101862757.\nAnswer: 1101862757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (3 + (2 - 1) + -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*(b**(-1)*b)\/b))\/b)**(1\/19)\/(b**4\/b**(-1\/7)) assuming b is positive.\nAnswer: b**(-29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1\/10)*i)\/i**(32\/3))**(-1\/24) assuming i is positive.\nAnswer: i**(263\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 r, and 1 m when three letters picked without replacement from rmqpq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 582.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (5 - -3 - 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 848 and 107908.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**2 - 2*n**4 + 0*n**4 - 3262 + 14*n + 16*n**2 + 3262 to x*n**4 + t*n + z*n**3 + h + b*n**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 26288?\nAnswer: 105152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(19) + -1 + sqrt(38)\/sqrt(2) + sqrt(19) + sqrt(684)*-1 + sqrt(684)).\nAnswer: -1 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 1767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/3 - 6067*i**2\/3 + 152216*i\/3 - 170576.\nAnswer: -(i - 21)*(i - 4)*(i + 6092)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -37.8. Let f = -84 + 48. Let c = r - f. Is 0 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*(2 + sqrt(76)))**2 + 3 + -5.\nAnswer: 7200*sqrt(19) + 71998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*s + 26*s - 15369 = 48*s + 345*s for s.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -199\/840 and -73\/840.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -312 divided by 6?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 573 - 1524 = -5*n, 5*n + 3*u - 2091 = 0. Calculate the greatest common factor of n and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + s + 156 = 0. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 214\/36 + (-13)\/(702\/12) and 58\/21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20249195?\nAnswer: 5, 599, 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3 + (-12)\/298*(-1 - 1060\/15) and 139\/12.\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42134808, 84269613, 126404416, 168539217, 210674016, 252808813, 294943608?\nAnswer: 337078401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 18*d**2 - 36*d + 713. Is t(55) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17437 - -3?\nAnswer: -17434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 215441 take away 32647.3?\nAnswer: 182793.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 420 + 3. Suppose -2*j + 282 = -4*g, 6*j - 3*j - l = -3*g. Calculate the highest common divisor of 47 and j.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3*4032\/((-6240)\/(-65)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**5\/60 - f**4\/8 - f**3\/3 - f**2. Let o(j) = 34*j - 1059. Let b be o(31). Give q(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -11*x**2 - 21*x + 25. Let l(m) = 7*m**2 + 14*m - 17. Let p(r) = -5*j(r) - 8*l(r). What are the prime factors of p(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 13.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 + 10*b**2 - 10*b**2.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.3 + -46.7. Let a = f + 11. Let l = a - -33. What is the smallest value in -4, 1\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 - (2 + (-3 - -4)). Suppose -n + 1 = -t*n. Let h be 275\/66 + n\/6. Let k(r) = r**2 - 2*r + 1. What is k(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 341, 1, -0.026, -1 in descending order.\nAnswer: 341, 1, -0.026, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 = -3*x - 175. Suppose 18*f = 92 - x. What is the remainder when 378 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = s - 8. Find the second derivative of -110*w**3 + 221*w**s + 80*w**4 - 111*w**3 + 2*w - 2 wrt w.\nAnswer: 960*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 83*t - 159 wrt t?\nAnswer: 83","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14 + -51?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -35 - -62 - 46?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/1*((-8)\/(-532))\/((-36)\/(-42))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 6)\/(-3) - -25. What is the units digit of m\/(-10)*20\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 651.\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 353767 * -2.618\nAnswer: -926162.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-6) - 54\/(-2). Suppose -13 - r = -2*k. Calculate the greatest common divisor of k and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 7:39 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, p: 1, z: 3, n: 1}. What is prob of picking 2 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (0 - -1) - (-3 - -8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -27. Let d = -2 - x. Suppose -441 = 2*b - d*b + t, 5*t - 1339 = -3*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2109 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 19*d**2 + 34*d + 13. Let x be t(-17). Let j(g) = 3*g**2 + g + 5. Let m be j(x). Does 21 divide 2\/(5*10\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13602, -27200, -40798?\nAnswer: -54396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -687*m**4 - 2 + 690*m**4 + m**3 + 2*m**3 + 5*m**2 - m**3 as z + h*m + f*m**4 + n*m**2 + c*m**3 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 30972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 7*j**2. Let l(u) = -u - 402. Give g(l(z)).\nAnswer: 7*z**2 + 5628*z + 1131228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-25\/3)\/y*y**(-12)*y*y**(-24)\/y*y**5 assuming y is positive.\nAnswer: y**(-121\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pgv when three letters picked without replacement from pggvh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 278060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 4*h - 462, -4*t + 3*h + 912 = h. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from 2068.927.\nAnswer: 2068.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-2*(-132)\/(-176)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = c + 21. Let m = c + -13. Let p be (8\/(-10))\/((-3)\/240). Calculate the greatest common divisor of m and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m. Let o be z(1). Suppose -18 = -o*p - 68. Let c = p - -22. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1440282318.\nAnswer: 2, 3, 240047053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-140)\/44) + (-1156)\/187?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**6\/180 - q**4\/8 + q**2. Let u(y) be the second derivative of b(y). Let v(k) = 13*k. Determine -7*u(i) + 2*v(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 less than or equal to -251\/42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 34. Suppose m = -3*d + 15. Let t(i) = -i + 8. Let p be t(4). Put d, p, 1, -4 in ascending order.\nAnswer: -4, d, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-162)\/140 - -1 - (-27504)\/(-192528))*(-5)\/34.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 14) in base 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 0.05?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142348 (base 11) to base 12.\nAnswer: -a8a58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 9*d + 20. What is the remainder when 44 is divided by s(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-5)\/(-5))\/((-6)\/(-1752))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/8729699?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 3*k + 8, -3*k - 10 = -5*n + 18 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2995, 7866, 14603, 23206, 33675?\n\"Answer: 933*h**2 + 2072*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12+2776071\nAnswer: 2776083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b - 4 + 4. Let v(z) = 10*z**2 + 3. Let c = 616 + -619. Let p(l) = -52*l**2 - 16. Let j(h) = c*p(h) - 16*v(h). Give j(g(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.0639*890980\nAnswer: 56933.622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 180.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.052? (a) 1\/14 (b) -27\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -518 + 517.1. Let p = 0.014 + 0.286. Which is the third biggest value? (a) g (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -175*t**2 + t**3 - 2 + 2 + 214*t**2 to x*t**3 + f*t + y + z*t**2 and give z.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 605448 and 1128?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 496000 to the nearest ten thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 158949704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 5) + -10 + 17 + -7 + -7.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*l**4*s + 2*l**4 - 2*l**3*s - 2077*l**3 - 11*l**2*s + 39*l**2 + l*s - 25*l wrt l.\nAnswer: 408*l*s + 48*l - 12*s - 12462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68192873921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4906061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - -7) + -96 - (0 + 1 - 8)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 10, -2*r + 5*x = -4*r - 27 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = m - 48787, 0 = -m + 3*v + 67339 - 18536. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 19.59, 0.4, -14, 2\/9.\nAnswer: -14, -0.4, 2\/9, 0.4, 19.59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4 - 50*r**3 - 5*r**2 + 780*r + 1440.\nAnswer: -5*(r - 4)*(r + 3)**2*(r + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44.8553 - 1.0747. Round u to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292543431?\nAnswer: 3, 139, 191, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4 - -0.1. Let u = -169.5 + 169. What is the nearest to -2\/3 in b, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 y when three letters picked without replacement from fgxhffffyyyfxx.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1602\/445*((-128)\/(-576) + 62\/(-36))?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -13.4. Sort -5, -1, -4, q in ascending order.\nAnswer: -5, -4, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/84*6\/(-44)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r - 8. Let w be a(7). Let o be 2 + w - 0\/(-2). What is the highest common divisor of 12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -363 <= 110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b + 18. Let c(t) = 42*t - 339. Let i be c(19). Let l = i - 472. Give r(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 390.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 218 and 27468.\nAnswer: 27468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - p - 8348, 0*p - 25089 = -3*v - 2*p. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*h**2 + 3)*((3*h - 3*h + h**2)*(-5 - 1 + 3) + h - h + 4*h**2).\nAnswer: 3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7\/44 + 1\/11. Factor -1\/4*y**4 - 3\/4*y**2 + 0 + b*y + 3\/4*y**3.\nAnswer: -y*(y - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q**2 - 10*q + 9. Let t be 36\/(-6) - (-2 + 1). Let n(r) = 5*r**2 - 11*r + 10. Let f(b) = t*n(b) + 6*j(b). Let c be f(-6). Is -2 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 5\/102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 528105 and 2217.\nAnswer: 530322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - v + 3*g - 30 = 0, -2*v - 16 = -2*g. Suppose -11 = 3*u - 5*u - 3*m, 2*u + 4*m = 16. Put u, -13, 5, v in descending order.\nAnswer: 5, u, v, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9004, 17568, 26132, 34696, 43260?\n\"Answer: 8564*r + 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-5) - 96\/(-20). Suppose z*o - 3 = 2*o. Does 5 divide (16\/(-24))\/(o\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**3*r**3 + 568142*i**3*r + i**2*r**3 + i**2*r + i**2 + 10982*i*r - 6 wrt i?\nAnswer: 12*r**3 + 3408852*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 1079*s**7\/42 - 345*s**4\/4 - 7*s + 54. Find the third derivative of o(y) wrt y.\nAnswer: 64740*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2*sqrt(66) - sqrt(66)) + -5*2*sqrt(66))\/(sqrt(384) + sqrt(384) + (sqrt(384) + sqrt(384)*1 + sqrt(384) + sqrt(384))*-5) + -5.\nAnswer: -5 + 7*sqrt(11)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 93241*j**4 - 307972 with respect to j.\nAnswer: 372964*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-4 - -2) + -26 + 25.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 3. Let y = 15 - p. Is (159\/y)\/(3\/9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37884*v - 37884*v - 857*v**2 to y*v + i*v**2 + d and give i.\nAnswer: -857","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 8*c**2 - c - 4. Let a be (3 + 0)*(-4)\/4. Let g = -5 + a. Let q be j(g). Solve 0 = 3*p - 4*p - q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -8. Let g be 76\/5 - y\/10. Let n = 7 - 4. Solve -3*i - 9 = -n*s, -4*s + 3*i = 4 - g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73 - -346. Suppose 0 = d - 8*d + l. Suppose 5*b = -5*a + 2*b + 47, b - d = -5*a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58 or -128.06?\nAnswer: -128.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7617, -7619, -7621, -7623, -7625?\n\"Answer: -2*m - 7615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246 = c - 5*j, 2*c = -8*j + 9*j + 483. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/40)\/(-3)*30\/(-3)*1002\/8016.\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -25) + 6 + -7 + 11 + -27\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -8.4, 2, 452 in decreasing order.\nAnswer: 452, 2, -0.8, -8.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18465, -18466, -18467?\nAnswer: -18468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1116, 1118, 1120, 1122, 1124, 1126?\n\"Answer: 2*x + 1114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 - y**2 + 6*y**2 + 0*y**2 + 2*y**2 + 0*y**2 + (-y + 1 - 1)*(y - y - y) + 2*y - 2*y + 2*y**2.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11963131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -194, -227, -260?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 114?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 1. Let s be h(-1). Suppose 2*y = -4*o - 9 - 5, 9 = 3*y - 4*o. Let u be 0 + y + 66\/42. Which is the closest to s? (a) u (b) -1\/6 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, h: 1, q: 7, x: 2, r: 8, e: 1}. What is prob of picking 1 q and 3 r?\nAnswer: 392\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1079291\/152010 - -2\/15201. Let z = -80009\/276913 + -37\/1547. Let o = z - -25889\/3222. Find the common denominator of f and o.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 11*d**2 - d + 63. Give i(-11).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 10*x - 7*x + 21199988, 0 = 2*z + x - 8480004. What is z rounded to the nearest one hundred thousand?\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-4) + 2\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s**2 - s**2 - 3*s**2 + (1 - 3 + 0)*(3*s - 3*s - 2*s**2) + s + 7*s**2 + s**2 - s**2.\nAnswer: 12*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -18?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 2*t**2. Let l(o) = 3*o**3 + 3*o**2 - o. Calculate 2*h(a) - l(a).\nAnswer: -a**3 - 7*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 11 = 3*q, -9 = 51*q - 48*q for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - -287. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7415 and 44930451.\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5 + sqrt(39)\/sqrt(3) + sqrt(13) - (2*sqrt(13)*5)**2).\nAnswer: -6475 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 11. Let r = -1507 + 1502. Let v = r + s. Solve 0 = v*x + 2*n + 3*n - 10, -x - 5*n = -18 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 9*s**2 - 8*s + 56. List the prime factors of l(-13).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -99223, -198444, -297651, -396838, -495999, -595128?\n\"Answer: i**3 + i**2 - 99231*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (10\/21)\/(2*(-17)\/(-476))\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-4) + 21 + (-89025)\/(-50). Calculate the greatest common factor of p and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 296 and 2462572?\nAnswer: 4925144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + f = -24, 0*w + 28 = -2*w - 5*f. Let v(n) = 10*n + 15. Let r be v(w). Let s = -20 - r. Solve 2*l = -0*l + s*o + 13, 2*o = 4*l - 18 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d + 1. Let f be w(-2). Let x = -28\/25 - 919\/50. Find the common denominator of x and (-2248)\/168 - (-2)\/f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 59?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -682 + (-99)\/(-15) + 24\/(-40). Let w = -360 - l. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 256896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 21, 9, -3, -15, -27?\n\"Answer: -12*d + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -95190.4297 - -95196. Let k = 0.6513 - n. Let d = 4.9 + k. Round d to three decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3284 - 168?\nAnswer: 3115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 46\/6 + (8\/(-3))\/4. Let a(z) = -2*z**2 + 13*z + 6. Let y be a(j). Let x(q) = -q + 1. Let o(p) = -8*p + 3*p + 3*p**2 + 2 - p**2. What is y*o(l) + 3*x(l)?\nAnswer: -2*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from egeegeegeeegeeeege. Give prob of picking 2 g and 2 e.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7226*f**3 + 13*f**2 - 5. Let g(c) = -3613*c**3 - 6*c**2 + 2. Calculate 9*g(q) + 4*v(q).\nAnswer: -3613*q**3 - 2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -112445976 divided by -2\nAnswer: 56222988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**2 - 120*l - 900 = 0. What is l?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -524.5 and -0.13.\nAnswer: 68.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 343, 700, 1057, 1414, 1771?\n\"Answer: 357*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 307, 637, 1017, 1465, 1999, 2637?\nAnswer: 3397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1161 and 63468?\nAnswer: 190404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-252)\/56*(-1645)\/1269\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 641*h**2 + 621*h**2 + 606*h**2 + 642*h**2 - 2554*h**2.\nAnswer: -44*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42.19 + 42. Let f = p + 0.053. Round f to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -t + 3*q, 2*t = -0*t - 4*q + 40. Let r be (-15)\/(2 + (-15)\/6). Solve 0 = 4*p + t - r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29353582 is divided by 4026.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*p + 40. Let d = p + -7. What is the units digit of 3 - 0\/d - -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26038328.2 rounded to the nearest one hundred thousand?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 105838610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(33)\/sqrt(3))**2 + 0 - sqrt(110)\/(sqrt(10)*1)) - (-3 + 2*sqrt(396)*-4*-3)**2.\nAnswer: -228149 + 868*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1048 - (10 - 30\/5). Suppose -9*k + 6*k + n = -3*v, 0 = -k - 3*v + 348. Calculate the remainder when k is divided by 71.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*h - 5. Let c(l) be the first derivative of -l**4\/2 - l**3 + l**2 + 4*l + 20. Let u be c(h). Solve 14 = -5*q + 2*y - y, q + y = -u for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b + 2 - 2)*(-b + 2*b + 0*b)*(4*b + 340 + 342 - 695)*(0 + 0 + 6)*(1 + 1 - 5) as k*b + f + p*b**3 + q*b**2 and give q.\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2973801?\nAnswer: 3, 37, 73, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (1 + sqrt(684) + sqrt(684))*-2 + 1)**2.\nAnswer: -48*sqrt(19) + 10945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2872*p**2 + 4*p - 1. Let s = 1 - 4. Let g be r(s). Let k = 517331\/20 + g. Calculate the common denominator of k and 1\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9, -2, 23, 78, 175, 326?\n\"Answer: 2*c**3 - 3*c**2 + 2*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 662?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 118 = -5*t + 1, -t = -1. Calculate the lowest common multiple of c and 14.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g**2 + 4*g**2 - g**3 + 4*g)*(2 - 9 + 19) to q + f*g**3 + v*g**2 + n*g and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 - -65. Let k(g) = 4*g**2 - 303 + 5*g + 608 - 307 - g**v. Let q(u) = u + 1. Let s be q(4). Determine k(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 7. Let l be g(2). Suppose 0 = -w - l + 8. Let p = w + 2. Calculate the greatest common factor of 45 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2\/2 + 665200*i - 1330410.\nAnswer: 5*(i - 2)*(i + 266082)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.722 + -3.222. Which is the second smallest value? (a) 221 (b) f (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -18*o**2 + 204*o - 1. Let u(z) = 9*z. Calculate u(x(c)).\nAnswer: -162*c**2 + 1836*c - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -761*f - 6*f**4 - 776*f - 15*f**2 + 1537*f + 7 to the form q + s*f**4 + l*f + y*f**2 + z*f**3 and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jnn when three letters picked without replacement from {n: 9, j: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6)*z**(-20)*z)\/(z*z*z*z*z\/(z\/(z\/(z*z**(-9))))*z*z*z**(-9)*z) assuming z is positive.\nAnswer: z**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -27*m - 2. Let z be k(-2). Let q be z\/10 + (-1)\/5. Let t(n) = 2*n + 7. Let h(o) = -o - 7. Let x(r) = -5*h(r) - 4*t(r). Calculate x(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.4 take away 329341771?\nAnswer: -329341736.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - 1*sqrt(14)*1)\/(sqrt(72)*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3544 greater than -1265408\/357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 12*b - 11. Give h(4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 351323, 702584, 1053845, 1405106, 1756367?\n\"Answer: 351261*b + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 24980729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqhazhzqzzq. Give prob of picking 1 y and 1 z.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -8509.\nAnswer: -5\/8509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 10:43 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(7\/6)\/g**8)**43 assuming g is positive.\nAnswer: g**(-1763\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-13))*h\/h**(-3\/25))\/((h*h**13)\/(h*h**12*h*h)) assuming h is positive.\nAnswer: h**(378\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83 + -62. Suppose 5*w - x = -2*a, w + 12 = 4*a + 3. Solve -a = -5*v + 6*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from stqxytq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/3 - 6*f**2\/5 + 4*f\/15.\nAnswer: -2*f*(f + 2)*(5*f - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 2*h = -12, 0 = -s + 353*h - 357*h - 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + 1878\/12 - 7\/(-14). What is the second smallest value in -11, 0.2, -5, h, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, b: 1, g: 2, v: 10, h: 4}. What is prob of picking 1 g and 1 b?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1060277918 and 6447?\nAnswer: 2149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/7))**(1\/36)*(w**(1\/3))**(1\/29) assuming w is positive.\nAnswer: w**(71\/3654)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 33 = -3*g, -g = -4*g + u + 29. Suppose 0 = 3*o - 2*i + 4, -2*o + 0*i - 5*i = -g. Suppose o = 3*w - 4*h - 313, -2*h = -0 + 2. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 417 and 129548.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 29 and 62 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1189 + 1191. Let u = -0.8 + -0.2. Which is the nearest to u? (a) k (b) -3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8, -3, 14, 49, 108, 197?\n\"Answer: f**3 - 2*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 3*q + 0*q - 5 = 0, -15 = 5*w + 2*q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176589777 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 14941*c**2 + 12*c + 12. Let a(q) = 2838790*q**2 + 2278*q + 2278. Give 6*a(p) - 1139*v(p).\nAnswer: 14941*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**4\/8 + 2187*l**3\/8 + 16515*l**2\/8 - 302646183*l\/8 + 13791210777\/2 = 0.\nAnswer: -372, 367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**3 - 5*y**2 - 9*y - 10. Let x(b) = -b**2 - b - 1. Let r(l) = -p(l) + 5*x(l). Let u(a) = -a - 1. Calculate r(q) + 6*u(q).\nAnswer: -2*q**3 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126646093 by -3.\nAnswer: 126646093\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 4:26 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h - 9. Let w be z(7). Suppose -c - w = -13. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 5) + (16 - (16 + -7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -7*i**3 - i + 1. Let w be x(1). Let s(y) = 5*y**2 - 2*y - 1 - 2*y - 4*y**2. Let m be s(2). Put 2, m, w in ascending order.\nAnswer: w, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458460 is divided by 2132.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144 and 76768.\nAnswer: 690912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13319913*p**5 + 50254743*p.\nAnswer: -266398260*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (197 + 56 - 101)*(-7*x + x + 4*x + x - x + 2*x - 3 + 2*x + 3 - 2*x + 2*x + 2*x + (0 + x + 0)*(2 - 2 - 1)).\nAnswer: 456*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**2. Let t(w) = 4*w - 7. Let q = -3 + 5. Let z(i) = i - 2. Let u(n) = q*t(n) - 7*z(n). Determine u(c(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 - 36. Suppose 5*n - p*n = 18. What are the prime factors of (-1903)\/(-99) + (-2)\/n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i\/(i**(4\/13)\/i*i))\/i*i)\/i**44 assuming i is positive.\nAnswer: i**(-537\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -16*f + 291. Let h be r(18). Solve -3*d + 4*m = 9, -h*d + m = -0*m + 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 y when two letters picked without replacement from {k: 1, j: 1, y: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10360056 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -194*c**3\/3 - 145*c**2 + 464. What is the second derivative of b(y) wrt y?\nAnswer: -388","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 12*p**4 + 6*p**3 - 36*p**2 - 12*p + 63. Let j(u) = u**4 - u**3 + 1. Let b(v) = -h(v) + 15*j(v). Factor b(z).\nAnswer: 3*(z - 4)*(z - 2)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (3 - -5) + -28 + (-5 - -14).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4138.9 + -4139. Let c = -3.5 - -0.5. What is the closest to 3\/4 in c, -0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 - 1)*(0*r**2 + 0*r**2 + r**2) - 259*r**2 + 9*r**2 + 31*r**2 as p*r + k*r**2 + l and give k.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 12*y**2 - 27*y + 6. Determine u(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/997672 and 29\/76744?\nAnswer: 997672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 s when three letters picked without replacement from ootuossoysstovso?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/20 + -2 + 2. Let o(r) be the first derivative of -1\/3*r**6 + 2 + r**4 + 4\/25*r**5 + p*r - r**2 - 8\/15*r**3. Find i such that o(i) = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.051835 rounded to 4 decimal places?\nAnswer: 0.0518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**3\/7 - 1616*t**2\/7 + 1644*t\/7 + 9720\/7 = 0. Calculate t.\nAnswer: -405, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*l**3*p + 5*l**3 - 2*l*p**2 - l - 102463*p**3 - 88161 wrt p.\nAnswer: -3*l**3 - 4*l*p - 307389*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + 0. Let y be (-154)\/(-110)*(-50)\/(-2). What is the greatest common factor of y and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233*z**3 + 195*z**3 + 47*z**3.\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 9. Suppose n - 5*b = 4*n + 31, d*n - 3*b + 63 = 0. Let x = n + 35. What is the highest common divisor of x and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rvvhhvjrvvvr. What is prob of sequence rrvj?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15.02? (a) 1\/2 (b) -0.3 (c) 0.1 (d) -331\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 4:31 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260341474.\nAnswer: 2, 130170737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18447.\nAnswer: 3, 11, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((0 - 0) + 1)*5. Suppose 3*h = l*b + 173, 4*h - 2*h = b + 113. What is the highest common divisor of 14 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3*a + 1766 + 1843, o + 2395 = 2*a. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26046?\nAnswer: 2, 3, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12419 * 0.765.\nAnswer: -9500.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-1*3)\/(sqrt(16)*-2).\nAnswer: 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m - 30. What is o(11)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 744253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from njjvonvneejznoozjv. Give prob of picking 2 n, 1 j, and 1 v.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -2*t + 19, 22*t = 19*t + 2*i + 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 5*i**4 - 5)*(3*i + 2*i - 6*i + (-2 + 1 + 0)*(2*i + i - i) + i - 33 + 33).\nAnswer: -10*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 54659229?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3027.\nAnswer: 3, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222034?\nAnswer: 2, 19, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3103184670.\nAnswer: 2, 3, 5, 509, 203221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 2*p. Suppose 0*l - 4*l + 8 = p. Suppose 3*b - b = -m + 14, -5*m = -l*b - 22. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 552977 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/16 and -6.4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 200 = -3*z. Calculate the lowest common multiple of z and ((-90)\/3)\/(12 + (-990)\/80).\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 13*o**2 + 12*o + 32. Determine c(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 15, 44, 91, 156?\n\"Answer: 9*i**2 + 2*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10066930, 20133881, 30200832, 40267783, 50334734?\n\"Answer: 10066951*x - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -49, -250, -593, -1060, -1633, -2294, -3025, -3808?\n\"Answer: 3*p**3 - 89*p**2 + 45*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -3. Let s = 3\/20 - -1\/10. Is s at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -4*v + 178, 4*v - 2305*r - 163 = -2302*r for v.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 43 - 13*f + 32 - 21*f - 33*f - 27 in the form q*f + k and give k.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8 - (1 - -1))\/(-2). Suppose -2*b - 5*n + s = 0, 3*n + 3 = b + 6. Suppose b = 3*u - u - 16. What is the remainder when 22 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7365 + 1775?\nAnswer: -5480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(6\/5)\/(z*z\/z**(-29)) assuming z is positive.\nAnswer: z**(-149\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - r + 38 = 0, -5*d - r = -37 - 11. Let p(c) = -c**2 + 12*c - 25. Let q be p(d). Put -8, q, 1 in descending order.\nAnswer: 1, q, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -4*t - s, 3*t + s = 3*s + 13 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 2*m + 32. Let q be (-3 - (-5 + 3))*m. Let w be (q\/4 + -5)\/(-1). Which is smaller: -24 or w?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 10 + 1392\/(-76) + -6.\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**4 - 7*u**3 - 47*u. Let t(n) = 2*n**4 + 6*n**3 + 48*n. Let z(o) = -4*t(o) - 3*v(o). What is the second derivative of z(w) wrt w?\nAnswer: 12*w**2 - 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11121120 - 0?\nAnswer: 11121120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 688?\nAnswer: 4816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s - 9. Let h be f(8). Suppose -3*t = -2*l + 77, 4*l - 5*l + 4*t + h = 0. Let x = l - 14. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282472003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 110 = 5*b, 0 = -2*b + 3*b. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 1:02 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3397617 is divided by 2391.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000101101 (base 2) to base 9.\nAnswer: 2775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 174.4 - 164.4. Let r = -2 + 4. Sort r, k, 0 in decreasing order.\nAnswer: k, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) -10 (c) -0.5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20556 divided by -5139.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((3*((sqrt(1300) + 3 + 5 - sqrt(1300) - sqrt(1300)) + 5 + 0) + 3)*-3)**2.\nAnswer: -22680*sqrt(13) + 121181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 - (-4 - (28 + 58)).\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 4*x**2 + 6*x + 7. Let v be p(-5). Solve -2*b = -0*b - v*r + 6, 12 = 3*r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.12, 3, -25 in increasing order.\nAnswer: -25, -0.12, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-40)\/(-56)*7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (8 - 9)*(-297 - 1).\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36551943.\nAnswer: 3, 239, 16993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*1 + 0 + (sqrt(162) + 0)*3)**2 + (sqrt(6)\/sqrt(3)*-2 - (3 + sqrt(2) + 1 + sqrt(2))).\nAnswer: -4*sqrt(2) + 2588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 2*x - 5 = 0, 70*x + 565 = -3*k - 40*x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8781 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 5*x. Let q(d) be the first derivative of d**3\/3 + 3*d**2\/2 + 4*d + 1. Suppose -1 = 4*f + 11. Let c be q(f). Give r(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 8:58 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 - -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -13*b**2 + 2. Let x = 173 + -77. Let y(q) = -33*q - 29*q + x*q - 35*q. Calculate y(j(l)).\nAnswer: 13*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 910590911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**1)**(-2\/67)*(d*d\/(d**(2\/5)*d))\/(d\/d**(-3))*(d**1)**(-1)\/(d*d**(1\/3)*d)**(-17) assuming d is positive.\nAnswer: d**(529\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.097 take away -10773?\nAnswer: 10773.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 0.1706654.\nAnswer: 0.6826616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -5 - -7 - (-2 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1256 + 2415. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27438, -26938, -26442, -25950?\nAnswer: -25462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7710 and 1290.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j + 6*j - 6*j)*(5 + 33 - 20) + (1 - 1 - 2)*(3*j + 0*j - j).\nAnswer: 68*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 3:26 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-2) + -3 + 113. Suppose -a - 3*s + z = 0, 2*a - 326 = -a - 2*s. Let m be (-11 + -1)\/(-1) - 0. Calculate the greatest common factor of m and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -0.5 (b) 0.3 (c) 150\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/5 of a gram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-3) - 32\/18. Let a be 0 + (8\/(-2) - -4). Sort u, -1, a in descending order.\nAnswer: u, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -5, 5 in increasing order.\nAnswer: -5, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17\/7 in -0.1, -9\/5, 275, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 + 121413?\nAnswer: 121433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1072.2 + 1072.2006651. Round p to 5 dps.\nAnswer: 0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-2 - (3 + -2)) - (154 - 211)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4676 is divided by 594?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 499081663696 + -499081663507.6488256696. Let u = b + -1.3511766704. Let j = u + -187. Round j to seven decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*u - 0*u. What is the remainder when (-2 + u)\/((-2)\/(-29)) is divided by 1 - -1 - (-26)\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 v when four letters picked without replacement from {i: 3, z: 4, v: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t = 24*t - 8. Let z(r) be the second derivative of 0*r**3 + 5\/12*r**4 + 0*r**t + 0 + 2*r. Let f(w) = -2*w. Calculate f(z(a)).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a century in decades?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 118343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 - 120. Let l be ((-49)\/2)\/i + 4\/(-8). What is the third derivative of -8*q**4 - 44*q**2 + 3*q**4 - l*q**4 wrt q?\nAnswer: -192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2365 - -2366.645. Round b to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4843 - -4843.0002468. Round l to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 2. Let p be ((-9)\/2)\/((-6)\/8). Let x = p + -1. Calculate the least common multiple of x and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63416767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 27 (b) 109894 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*y - 2*m - 10 = 45*y, -5*m + 25 = -5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 2*y. Let t(n) = 6*n**2 - 13*n. Calculate -39*l(r) + 6*t(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddymd. Give prob of sequence yd.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/1403079 and -35\/225321.\nAnswer: 1786119567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 5*y**3\/4 + 3065*y**2 - 93245*y - 421940 = 0.\nAnswer: -2482, -4, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 0.71, -22\/9, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23383, -24930, -26483, -28048, -29631, -31238, -32875, -34548?\nAnswer: -36263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(-8))\/(16\/(-14976)). Let a = 1991 - m. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(405) - sqrt(405)) + -2 - sqrt(405))**2 + -3 + (sqrt(80) + -2)**2*-5*6.\nAnswer: 1126 + 588*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -24*74\nAnswer: -1776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.07 - 0.07. What is the smallest value in -1\/6, q, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/239 or -0.6918?\nAnswer: 2\/239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33758 in -2\/13, 26, 2\/11?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 9:25 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1211*w**3 - 2*w - 151*w**2 + 857*w**3 - 3 + 256*w**2 - 105*w**2.\nAnswer: 2068*w**3 - 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 80 = 2*u. Let g = -54 + 30. Calculate the least common multiple of u and (-1)\/((8\/4)\/g).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16ba (base 13) to base 16.\nAnswer: -d24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1079, 1832, 2571, 3290, 3983, 4644?\nAnswer: 5267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -125 at least as big as -69.097?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 282705 and 647989?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*b + 52*b - 37*b + 9602 + 11419 = 0 for b.\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7735219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 89944288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 8*x + 3. Suppose 5*y + s - 24 = 13, -3*y + 33 = -3*s. Let p be t(y). Solve -3*d - d = 5*g - 15, 2*d - p = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4362124 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 13. Suppose 4*f + 20 = 0, l = -4*g + 2*f + 4 + 6. Find the second derivative of 4 + g*r - 4*r - 4 + 2*r**2 wrt r.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -293*v - 8. Suppose 0 = -m - 2*n + 4*n - 1, 8 = 2*n. Let c be o(m). Let p = c + 2948. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1223 (base 6) in base 15?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 695 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31*p**3 + 123 + 10*p**2 - 123 wrt p?\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3 + 4 - 3*f - 13 + 1. Let w = 16 + -10. Give t(w).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -39473 + 712?\nAnswer: -38761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2171423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*s**3*t**3 - 12*s**3*t**2 + 89*s**3*t + 4*s**2*t**2 - s*t**3 + 9*t**3 + 5*t**2 wrt s.\nAnswer: -18*t**3 - 72*t**2 + 534*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 18, 2669, 13?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 2.8. Let x = -3 + 2. Let k be x + -2 + 18\/12. Which is bigger: y or k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12760 + 12758.7. What is the third smallest value in -12, -6, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 125311003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -1. Let j = -341 - -346. Suppose 3*d + j*t = 8915 - 3653, 0 = -k*d - 5*t + 3503. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3615285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 1)*(-3 + 0 + 6)*(-4 + 11 + 8)*(t**2 - t**2 - 2*t**4).\nAnswer: 360*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 3*a**2 - 5*a + 7. Let v be g(4). Suppose -12*p = -v*p - 54. What is the greatest common factor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*s + 121364 = 134388 for s.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 72\/10 - (-3)\/(-15). Let l(o) = -323 - 13*o + 5*o**2 + 316 - 8*o**2 + 5*o**2 + 0*o**2. What is l(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5605 - -5574. What is the closest to -0.1 in 2\/11, c, -4, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v + 6. Let i(h) = h + 1. Let g(b) = -4*i(b) + t(b). Let d be 3\/(9\/(36\/4)). Determine g(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.380365221 take away 26?\nAnswer: -25.619634779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + y - 3*k = 7, -5*k = 4*y + 7. Let z(f) = y + 3*f - 5 - 6 + 2*f. Let b(i) = 6*i - 10. Let q(w) = 3*b(w) - 4*z(w). What is q(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1034*x = 1470 - 13878 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 75 * 0.6.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -11*z**2 - z. Let i be v(1). Let u be i\/18 + 2\/12. What is the third smallest value in -5, 1\/3, u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230\/319 != 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/4 or -0.1?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60690d (base 14) to base 8.\nAnswer: 14302201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g - 5*g - 1 + 2*g - g + g**2 to p*g**2 + l*g + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -48718\/15 < -3248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -653\/10 = -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1319749*w + 155934 wrt w?\nAnswer: -1319749","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66b71 (base 14) to base 8.\nAnswer: 746577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a\/(a*a\/(a*a**1))*a*a*a)*a**(-5)*(a\/(a\/a**(-1\/2)*a))\/a*a**(-2\/3)\/a assuming a is positive.\nAnswer: a**(-73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 947*b - 944*b - 78 = 0, -40*g + b + 772 = -3*g for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39545 and 11.\nAnswer: 39545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*f*y**3 - 2*f*y - 3613*f - 2*y**3 - 6*y**2 + 8*y - 214 with respect to f.\nAnswer: -5*y**3 - 2*y - 3613","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 306d (base 16) to base 2\nAnswer: 11000001101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -125 and -273704 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 69405350 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 20570*d - 342989535.\nAnswer: 5*(d - 10591)*(d + 6477)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63658460 is divided by 418.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 68926206071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((4 - 6) + -3 - 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0412442 weeks in days?\nAnswer: 0.2887094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3 + 3*w + 0 + w. Let z(p) = 9*p - 6. Let r(a) = -7*m(a) + 3*z(a). Let t(h) = -h + 11. Let y be t(8). What is r(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 11*f - 10*f. Let k be 1 + 0 + 1*f. Suppose -2*c - 6 = 4*o - 5*o, -2*c - 2*o = k. Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -41, -0.4, -0.03 in descending order.\nAnswer: 3, -0.03, -0.4, -1, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -31. Let x be (-38)\/10 + 1\/(-5) - -27. Let q be 6\/(x - 5)*12. Solve 21 = q*j + f for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y, 4*v + 4*y + 7 + 9 = 0. Sort -2, 1, v, -5 in decreasing order.\nAnswer: 1, -2, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73168 and 340?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (6 - (4 + 4) - -6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -44. Let f = 16 - c. Find the first derivative of -6 + t + 4*t + f*t - 3*t wrt t.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6616060 (base 8) to base 10\nAnswer: -1776688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-15)*-110*16\/32.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 2*t. Suppose 3*m - 84 - 363 = t. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/170 and 107\/204.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -4, -37.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 580*m**2 + 366*m - 108. Find the first derivative of o(c) wrt c.\nAnswer: 1160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.64 - -11.8. Let q = 6.1600707 - s. What is q rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140454930 is divided by 151.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -377*k**4 + 10*k**2 + 11*k wrt k?\nAnswer: -9048*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42623225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/120 and 77\/26120?\nAnswer: 78360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-1)\/(-2)*(-12)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of k**4\/12 - 16*k**3\/9 - 2571. Factor u(x).\nAnswer: x**2*(x - 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79866 is divided by 554?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/303, -2\/7, 0.52, -0.2 in increasing order.\nAnswer: -2\/7, -0.2, -2\/303, 0.52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 + (-1257)\/(-198) + 10\/12. Which is the closest to -0.2? (a) 1\/4 (b) d (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/2 + 1)*220\/330?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p**3 - p**2 + 6*p + 6. Let r(k) = -k**3 - k - 1. Let f = -18 + 12. What is f*r(c) - n(c)?\nAnswer: c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/4 of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 20 = 16. Suppose 7*w = 16*w - k. Solve -w = f - 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 1267*m**2 - 2236*m - 4443090. Give v(-1268).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**3 + 0 + 13*j**4 + 1 - 2*j**2 - 8*j**4 - 11*j**4 to l*j**2 + s + h*j**4 + o*j**3 + w*j and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**4 - 3*u**4 + 0*u**4 + (-3*u**2 + 2*u**2 + 0*u**2)*(-2 + 2 + 2*u**2) - 2*u**4 + 0*u**4 + 3*u**4 + (3*u**2 - 4*u**2 - u**2)*(-u**2 + 0*u**2 + 3*u**2).\nAnswer: -7*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -239803919\/651148428 - 2\/1750399. What is the common denominator of d and 65\/54?\nAnswer: 3348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u + u - 2*u)*(151286 - 78149 - 78762 + u) to the form i*u + n*u**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 3*x**2 - 87*x + 234 = 0?\nAnswer: 3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 171\/(-190)*(-14101)\/3. Let g = 4235 - w. Let p = g + -9\/2. Sort -0.9, p, 0.1 in decreasing order.\nAnswer: p, 0.1, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -m - r, 4*m + 0*m = 2*r + 76. Find the second derivative of -36*p**2 + 36*p**2 - 4*p**3 - m*p wrt p.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*y = -2294 - 2842 - 4440. Calculate the lowest common multiple of y and 231.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 - -40. Suppose 3*a = -3*u + y, u + 11*a = 16*a + 13. Calculate the remainder when 301 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (150\/(-27))\/((-4625)\/(-16650))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 121 and -65604727.955.\nAnswer: -65604606.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89013, 90655, 92297, 93939, 95581, 97223?\nAnswer: 98865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-21)\/36*3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 3*f**4\/4 - f**2\/2 + f - 1. Let z be q(1). Differentiate -11*l**z + 0 + 15*l**3 - 4 wrt l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1137705, 1137704, 1137703, 1137702, 1137701?\nAnswer: 1137700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-22))\/(3\/(-6)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 4*m - 192 = 0. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 13. Let n be -4*(2*-4)\/(-4). Let y be c(n). Suppose 4*h - 3 = y. Solve h*f + 15 = -3*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0*d - 2304 = 4*d, 5*i + 3*d - 3840 = 0. What is the remainder when i is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**3 + 6*i**2 + 2*i + 5. Let d be k(-3). Let p = 52 + -52.26. Are p and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 8:21 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 385658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -27 (b) 262 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1703 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from huccnnhun. Give prob of sequence ucu.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(-1 + l + 1) - 2*l + 0*l + 0*l - 26*l + 71*l - 56 - 47*l.\nAnswer: -6*l - 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bmrmrrmnnbnrrmr. Give prob of sequence rrn.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*l - 37*l + 22*l - 95*l**2 - 1299*l**2 as s*l**2 + i*l + g and give s.\nAnswer: -1394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/36, 10, 4, -1\/2, 2, -5 in decreasing order.\nAnswer: 10, 4, 2, 1\/36, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v - 6*v + 3*v**2 + 0*v**2.\nAnswer: 3*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3354.7298 minus -0.87?\nAnswer: 3355.5998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-35)\/(-2)*(-14)\/(-130). Let n = -5\/13 + f. Factor -o**3 - 1\/2 + 3\/4*o**5 - o**4 + n*o**2 + 1\/4*o.\nAnswer: (o - 1)**3*(o + 1)*(3*o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-49)\/(-2646)*(0 + 92877\/(-860)). Let k = a + 212\/215. Find the common denominator of 149\/12 and k.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/13)*j\/(j\/(j*j**10\/j))*j*j)\/(j**1\/j)**(-1\/27) assuming j is positive.\nAnswer: j**(167\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -41, -43, -31, 1, 59?\n\"Answer: y**3 + y**2 - 12*y - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1681 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 11*d + 10. Let y be n(10). Suppose y = 2*u - u - 24. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2135 (base 7) to base 15\nAnswer: 35b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 11638, 0, -1, -4 in increasing order.\nAnswer: -5, -4, -1, 0, 11638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**3 - 26*t**2 + 54*t**2 - 28*t**2 - 5*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-10)*(2\/(-2))\/1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003664305 to four dps.\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3746777610?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1628480806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 153 and -3897769763?\nAnswer: 3897769916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000547731 to 7 dps.\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68 + 68.29. Suppose -3*q = g + 8 - 18, -4*q + 4*g + 40 = 0. What is the biggest value in q, -1\/2, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k - 61. Give f(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -6*o - 4. Let b(z) = -z - 1. Let t(k) = -5*b(k) + y(k). Let i = 224694 - 224699. Let q(u) = 6*u - 5. Calculate i*t(m) - q(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/2*k**4 + 0 + 12*k**3 + 27*k - 79\/2*k**2 = 0. What is k?\nAnswer: -27, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13395899.\nAnswer: 11, 1217809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b + 12. Calculate k(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(343) - (-3 + (-2*sqrt(343) - sqrt(343)))) + -4)**2 + (-2*sqrt(7) + -5)**2 + 0 + 3 + -1.\nAnswer: -36*sqrt(7) + 5542","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -407*z**4\/4 + 2*z**3\/3 + 9*z**2\/2 - 16*z + 2. Let g be t(-17). What is g rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -1020202?\nAnswer: -1020221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, 1156, 1, 2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*m + 60 + 6 = 0, 5*n + 144 = 2*m. Let k = n + 32. Put -5, k, 8 in descending order.\nAnswer: 8, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1745 is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 6 = 21. Suppose -2*p + 2*z + r*z + 607 = 0, 0 = -3*p - z + 902. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31\/62)\/(2\/(-48))*9\/(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 4, 0, -2, 55 in increasing order.\nAnswer: -2, 0, 1, 3, 4, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/((v**(-5)\/v*v*v)\/v))\/v)\/v*v**(-4\/3))**31)**(-20) assuming v is positive.\nAnswer: v**(-4960\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1496?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (0 + -3 + 9 + -6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 0.322\nAnswer: 0.966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 8 = -2*f. Suppose -2*d = -p - 159, f*p + 4 = 2*d - 156. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 683114*1.\nAnswer: 683114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59373 + 87976. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -139, 6901, -4 in descending order.\nAnswer: 6901, 2, -3, -4, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002818364 to 7 dps.\nAnswer: 0.0002818","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63 + (0\/5 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 253. Is o(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2639931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -27603*d + 1. Let g(h) = -7*h + 4. Give o(g(y)).\nAnswer: 193221*y - 110411","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 1 + 8 = -i, -4*i - f + 6 = 0. Let z be (-144)\/32*(-2)\/i. Let c(o) = -17*o - 11. Let u(d) = -8*d - 5. Calculate z*u(m) - 4*c(m).\nAnswer: -4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -114181180*m**2 + 296708198.\nAnswer: -228362360*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -92414, -92620, -92828, -93038, -93250, -93464, -93680?\n\"Answer: -h**2 - 203*h - 92210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 1 + 9. Calculate the highest common factor of 8 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2773 - 2629. Solve -145*s = -p*s + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 6:03 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = f + 15. Suppose -2*q + f*q - 70 = -m, 70 = m - q. What is the highest common divisor of m and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/6, 2, 0, 9\/32?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26.971 - 0.029. Let p = -26.909406 + -0.091194. Let z = y - p. What is z rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 - 2*u**3 - u**3)*(2 + 3 - 6) + (1 + 2*u - 1 + (-4 + 2 + 4)*(0 + 0 - 2*u) + 3 - 3 - u)*(-23*u**2 - 20*u**2 - 13*u**2).\nAnswer: 170*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16.8 - -17. Sort -2\/5, 3\/5, 4, i in increasing order.\nAnswer: -2\/5, i, 3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*14*(-111)\/(-74)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 39 + 46 = -5*v, l - 4*v = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 33 = z. Let j(l) = 19*l - 55. Let c be j(3). Let a be 0 - (-4 + 1)\/1. Solve p - 4*r = z, -22 = c*p - 0*r + a*r for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -10. Let t = 0.05 - -3.45. Let o = n + t. Put o, 1\/3, -0.4 in decreasing order.\nAnswer: 1\/3, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -110, -109, -108, -107?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 11*l**2 + 33*l - 8. Calculate the least common multiple of q(-4) and 14.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 303770 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 727*a - 7734 = -35360 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 9*w + 3*m - 279 = 0, -w + 84 = 4*m. Calculate the smallest common multiple of 54 and w.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 11:18 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 4*z + 5. Let s be f(4). Suppose 12 = s*g + 2. Solve c - g = -0*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/(184\/112) - 22 - (-320)\/35.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -7. Suppose -p*b + 16*b = 39. What is the second derivative of -2*k**3 + b*k - 9*k - 2*k**3 wrt k?\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 12 - 2. Suppose -10 + 1 = -3*y. Suppose y*s = 80 - 20. Solve t*r - r + s = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0009 and 278.09.\nAnswer: 0.250281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 42*s - 6181. Determine j(159).\nAnswer: 497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and 40?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/11 and 6*(-3)\/(-72)*87\/(-2).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1634 + 494 + 12*b**3 + 401 - 672*b + 227 + 152*b**2.\nAnswer: 4*(b - 4)*(b + 16)*(3*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/9 + 8236*h**2\/9 + 8503616*h\/9 + 16908544\/3.\nAnswer: 2*(h + 6)*(h + 2056)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -199\/3445 (c) 1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - h + 9. Suppose 2*f - 122 = -4*p, -p = 3*p + f - 125. Calculate the remainder when p is divided by l(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 6*v. Let w be g(7). Suppose -4*a - 432 = -w*a. Let s(x) = 4*x**2 + 7*x + 1. Let j be s(-3). Calculate the greatest common factor of a and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 686*d**2 + 775*d.\nAnswer: 1372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 903.892 + -906. Let g = -0.108 - t. What is the second smallest value in g, -3, -4, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006985 rounded to 4 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5755169 to the power of 1\/2, to the nearest integer?\nAnswer: 2399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a3 - 0?\nAnswer: 1a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -65*(24\/50)\/(4\/10). Let w be f\/(-52)*4\/(-15). Which is the second smallest value? (a) 2\/7 (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -9*y + 2. Let p(s) = 138*s**2 - 2*s - 14. Let r(n) = -3725*n**2 + 55*n + 385. Let i(f) = -55*p(f) - 2*r(f). Calculate i(u(h)).\nAnswer: -11340*h**2 + 5040*h - 560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 8*m - 4. Let i(a) = -a**2 - 7*a - 5. Let b(v) = 2*i(v) - 3*l(v). Let o be b(-9). Let n = 1 - o. Solve r - n = -r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 5, 17\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -126 - -152. What is the highest common divisor of j and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4\/11 + 126*n**3 - 256956*n**2\/11 - 6934088*n\/11 + 3952430160\/11.\nAnswer: -2*(n - 266)**3*(n + 105)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.8 + 7. Let k = 9.2 - 10. Let f = p - k. What is the second biggest value in 0, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2324140 and 56.\nAnswer: 4648280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2220349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3713.807 milligrams to nanograms.\nAnswer: 3713807000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 591 + -590.998833. What is w rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 40*f**2 - 40*f - 30. Let w be g(-39). Factor -509*n**2 - n - w + 4*n + 514*n**2 + n**3.\nAnswer: (n - 1)*(n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -528 - -533. What is the closest to -2\/3 in -2\/21, a, -8, 1\/3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, p: 4, i: 2}. Give prob of picking 1 b, 2 p, and 1 i.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 824 and 32136.\nAnswer: 32136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/545 - 5999\/2180. Sort 0, 1, 1\/4, z in decreasing order.\nAnswer: 1, 1\/4, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-8)\/(-12)*-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -10, 2, 46, 134, 278, 490?\nAnswer: 782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9a410 (base 14) in base 11?\nAnswer: -235a84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 5*f = -6, -3*f - 16 + 23 = 4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 4*g + 61, k - 5*g + 35 = 2*k. Solve 0 = 3*m - 3*l + k, m + l - 13 = 4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -6*p**2 + 12*p - 6. Give z(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0.0143 (c) -217 (d) -21\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-2*sqrt(54) + (sqrt(216)\/sqrt(9) - sqrt(6)))\/((sqrt(27) - -5*sqrt(27)*2) + sqrt(27) + sqrt(972) + sqrt(972)*-2 + sqrt(972) + sqrt(972)))**2.\nAnswer: 7315\/1458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(-4))\/((-8)\/6752) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.04 (b) -3 (c) 1034\/7 (d) -1\/4 (e) -4 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33.8 + 38. Let j = h + -4. Let p be 2\/(-6) - -1 - 0. What is the nearest to j in 1\/2, -4, p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3225212 years in months?\nAnswer: 3.8702544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -25. Let l be (30\/(-25))\/(n\/(-5)). Let x(c) = -3 + c + 1 + l - 4*c. Determine x(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5930 and 23285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117 by 13.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**2 + 3*m**2 - m**2)*(-5*m + 3*m + m) + (4 + 0 - 2)*(-m**3 - m**3 + 4*m**3) + 41*m**3 - 17*m**3 + 35*m**3.\nAnswer: 57*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19926 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 3*r**2 + 3*r - 8. Let h be u(3). Is 3184 - (7\/(-21))\/(h\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1918 + -1919. Put 0.2, n, 0.006, 0.5 in increasing order.\nAnswer: n, 0.006, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 111 = -10*u, 2274*u - 2270*u - 4*k = -48 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16569637*m**4 + 1442074*m + 3 wrt m.\nAnswer: -198835644*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.00555798 to 4 dps.\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*j - 6. Suppose 0 = n - j - 3. Suppose n*d + 25 = b, 2*b - 143 = -3*b + 2*d. What is the remainder when b is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 104*k**2 + 7689*k + 34. Calculate j(-74).\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1486 - -1489. Suppose 5*h - 24 = -9. Calculate the remainder when j is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22857093.\nAnswer: 3, 7, 120937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/7 - (-1)\/((-91)\/27). What is the nearest to -1 in 6, n, 1\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*t - 4*t. Let j = -17 + 7. Let r = -5 - j. Which is the closest to t? (a) 2\/17 (b) r (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4\/3, -4\/3, -7?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 145\/2706 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o - 323 + 393 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262*w = -17*w + 199015 - 1207680. What is the thousands digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 119038 and 424?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 25 - -12a?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 10:47 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 33\/(-198) - (-2)\/12. Let n(r) be the first derivative of -1\/3*r**3 - 1 + 2*r**2 + h*r. What is the second derivative of n(c) wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.6 - -2.8. What is the closest to s in 2\/15, 0.5, 1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4172)\/(-1043)*(-2)\/1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9, -22, -51, -102, -181?\n\"Answer: -d**3 - 2*d**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 12:02 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 450001)\/(1\/(-57)). What is k rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/7495 or 23.5?\nAnswer: -1\/7495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**3 - 29*k**2 - 10*k - 91. Determine v(0).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n + 3. Let t be y(-3). Put 0, t, -2 in descending order.\nAnswer: 0, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.478246 millimeters to kilometers.\nAnswer: 0.000000478246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5589567577 take away -10?\nAnswer: 10.5589567577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -1 - z + z**2 + 0*z + 0*z. Let u(j) = j**3 + j**2 + 4*j + 3. Let w(v) = 3*o(v) + u(v). What is w(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-9) - (-202)\/(-18). Let d = 25 + j. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 21 = 6. Suppose 2*p + q*p = 660. Suppose 85*n + 48 = 89*n. What is the highest common factor of n and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 269 + 264 - 8*q - 803 + 273 - 51*q**2 as w*q + v*q**2 + u and give v.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.04 (b) 3 (c) -1\/17 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -0.3158.\nAnswer: 0.3158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1948909334?\nAnswer: 2, 41, 373, 63719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000228274362 rounded to 7 dps?\nAnswer: -0.0000228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w + 273320 - 136666 + 0*w - 136661.\nAnswer: -2*w - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p = 2586 + 7465. Let i = p - -42. List the prime factors of i.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -1. Let l(c) = c + 1. Let i be l(o). Suppose -6*q = -q + 5*f - 230, 4*f = -i*q + 84. What is the greatest common divisor of 20 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1362 is divided by 1327.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 394849 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -1\/715 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 111628036?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000506 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 - 7 = -5*u. Suppose 5*y - 324 = -u*y. What is the smallest common multiple of y and 204?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*i = 72*i + 23. Let c = -8 + 7. What is the remainder when 10 is divided by 0\/c - (-8 - (-1 + i))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25632633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 437 and 136857?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -1560*c**3 - 4*c**2 - 4*c + 1090. Let g(b) = -b**3 + b**2 + b + 1. Let l(t) = -4*g(t) - k(t). What is the derivative of l(j) wrt j?\nAnswer: 4692*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 23*g - 21. Let j(d) be the second derivative of 11*d**3\/6 - 5*d**2 - 10524*d. Determine 6*a(v) - 13*j(v).\nAnswer: -5*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -6. Suppose c = -y*z - 8, 0 + 12 = -4*c - 3*z. Solve u + 7 - 2 = c for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 65*h - 63*h - 2.\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -474662 (base 8) to base 15\nAnswer: -33101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*n**3*u**4 + 24*n**3*u**2 + 3*n**3 - 22774215*n*u**5 - 748*n - 183 wrt u?\nAnswer: 120*n**3*u - 1366452900*n*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 10*d**2 + 15*d - 7. Let u be b(-8). Suppose -1 = 5*x - 21, -x - u = -w. Suppose w*l - 37 = 3. Solve i = 5*i + l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*f**3 + 35*f**3 - 3 + 15*f**3 + 3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 32173, 62727, 93281, 123835, 154389?\n\"Answer: 30554*p + 1619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 19*z**2 - 5*z - 36. Calculate l(19).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 185027, 184915, 184803?\n\"Answer: -112*q + 185139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -1\/3 (c) 0.7722814\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-4\/5)*r**(1\/2)\/r*r**(-6\/7)*r*r**(-2) assuming r is positive.\nAnswer: r**(-221\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 10. Suppose 4*f - 298 = 2*j, 5*f + c*j - 373 = 6*j. Suppose -t + 13 = 2*h - f, -h - 102 = -t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, q: 7}. What is prob of picking 3 w?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -1\/6, 136, 2\/11, 2347, 2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*p - 49621 - 28275 - 19256 = 0. What is the least common multiple of 4 and p?\nAnswer: 2944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -138*y**3 - 5*y - 2.\nAnswer: -828*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 k when four letters picked without replacement from twtwtwkwkktwt?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -86*j + 54*j + 288. Suppose 4*n + 3*z = 31, 5*n - 25 = -0*z - z. Suppose b - 3*s = 7, -5*s - 9 + n = 5*b. Solve 2*l + b = -j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38931*t + 6 + 38932*t - 10.\nAnswer: t - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 11436787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 7. Let u be a(3). Suppose -5*h + 7 = -2*l, 0*h + 3*h + 1 = -u*l. What are the prime factors of (1 - l) + (-84)\/(-3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -391*n + 2192 + 11022 - 2266 = 0 for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -467178003*v**3 + 4311*v - 11320?\nAnswer: -2803068018*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 12*f**2 + 1. Let j be s(12). Suppose 3 + j = t. Solve t*v = -3*w + 6*w - 5, 3*w - 8 = v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91016104729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 4:41 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.935 - 12.065. Sort 0.2, -6\/43, p, 3.\nAnswer: p, -6\/43, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2869, 2840, 2811, 2782, 2753?\n\"Answer: -29*g + 2898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 13) to base 15\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32834*j**4*k**3 + 3*j**3*k**3 - 3*j - 6763*k**3 wrt j.\nAnswer: -394008*j**2*k**3 + 18*j*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2. Suppose 5*r - 5 = 4*r. Let d = -9 + r. Let s(v) = -8*v**2 - 5. Let u(z) = -9*z**2 - 6. Let a(m) = 6*s(m) - 5*u(m). Calculate d*f(k) - a(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 247 and -0.5.\nAnswer: -123.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3275*y + 19650. Give q(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.9738 millennia to decades.\nAnswer: 2997.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**4 - 2*n**2 + n**3 + 3*n**4 + 2 + 6*n**2 to the form b*n**2 + a*n**4 + i*n**3 + l*n + x and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.15 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 1:00 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 49*55\/231)\/(-1 + 695\/(-15)).\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -658972 - -400?\nAnswer: -658572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3698*z = -3482*z - 3240 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 8418724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -12*o. Let v(i) = 2*i - 3. Let q(x) = x - 2. Let b be 5*(-4 + (-68)\/(-20)). Let m(g) = b*q(g) + 2*v(g). What is -a(s) - 10*m(s)?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25434 and 140724.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*n + 33*n + 4*w + 31, -4*n - 3*w = 7 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-6)\/30*60\/8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8815 + -0.25\nAnswer: 8814.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2 (b) -11 (c) 1\/3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 144670243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**3 + 57*w**2 - 171*w - 1. Let r(l) = 2*l**3 + 3*l**2 - 1. Let j(g) = -f(g) + r(g). What is k in j(k) = 0?\nAnswer: -57, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -158499250 to the nearest 1000000.\nAnswer: -158000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 348 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 - h**2 + 2*h**2)*(3*h + 2*h - 3*h)*(-6*h**2 - 3*h**2 + 3*h**2) + (-3*h - h + 3*h)*(2*h**3 + h**4 - 2*h**3).\nAnswer: -37*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6888, -6890, -6902, -6930, -6980, -7058?\n\"Answer: -f**3 + f**2 + 2*f - 6890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4546404 by -282.\nAnswer: -16122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w. Let l(n) = n - n - 378*n**2 + 4 + 379*n**2. Determine u(l(b)).\nAnswer: b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 15\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u - 23. Let s(h) = h - 8. Let k(q) = -17*s(q) + 6*w(q). Determine k(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5734162 (base 8) to base 7\nAnswer: 16133130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1 + 5 + -6*((sqrt(320) - (sqrt(320)*1 + -4 + sqrt(320))) + sqrt(320))*-6 + 5)**2.\nAnswer: 22500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 20, 55, 78, 83, 64, 15, -70, -197?\n\"Answer: -o**3 + 42*o - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + m + 2, 0*q + 5*m = 3*q + 6. Let a be -1 + (-1 - 16\/q). What is the third derivative of -5*k**6 + 2*k**2 - 2*k**a + 5*k**6 wrt k?\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 4*w - 9 + 7, 4*k + 5*w - 4 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10516891 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.21525 + -1014.88475. Round p to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27440399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 205 + -166. Let p = o + 97. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 21. Give n(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1103, -1092, -1069, -1028, -963?\nAnswer: -868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7144, -15542, -25184, -36052, -48128, -61394?\nAnswer: -75832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = 3*n + 3*v, -8*n + 3*v = -5*n - 186. Calculate the smallest common multiple of n and 104.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - -120112213303?\nAnswer: 120112213223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9.244 and 1806774.\nAnswer: 1806764.756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36775\/6 - -6143. What is the common denominator of h and 99\/1106?\nAnswer: 3318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7582950532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61722 by -3.\nAnswer: 20574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 0.26858 (c) -281\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -6807953 and -6807988 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p - 5 + 5 + (1 - 2 + 2)*(-2 + 1 - 2)*(2*p + p - 5*p).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-4))\/(3 - 1365\/448). Let t be 3*1\/((-2)\/h). Is 841\/4 - 12\/t a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1292608310?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4504 (b) 0.41 (c) -13 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 - (16 - 8) - -9 - -6?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105255 + 518975*b**3 - 518971*b**3 - 105255.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n + 3*q = -16*n - 0*q + 31, -5*n = 2*q - 36 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3984, -7969, -11954, -15939, -19924, -23909?\n\"Answer: -3985*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115228002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2007 a factor of 12192525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*t - 12971 = 163*t + 88*t - 1661 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 2, 0.4, 96, -18, -5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6250 - -14457. What are the prime factors of t?\nAnswer: 29, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1232, 1018, 656, 140, -536, -1378, -2392?\n\"Answer: -s**3 - 68*s**2 - 3*s + 1304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(176)*-2.\nAnswer: -8*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -81161?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120925 divided by 17275.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24423977?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o - 2*o**2 + 0*o)*(-37 - 9487*o + 9487*o - o**2) in the form k*o**3 + x*o**4 + j + u*o**2 + n*o and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1731479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3 - 1 = 0. Suppose 59*z + 15*z + 256 = 10*z. Which is the third smallest value? (a) 0.2 (b) z (c) r (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 4:14 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vtvvvztvtavm. What is prob of sequence vv?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31900741, -31900731, -31900717, -31900699?\nAnswer: -31900677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 9*w**2 - 8*w - 11. What is m(-9)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 280932, 280832, 280728, 280614, 280484, 280332?\nAnswer: 280152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 157859, 315876, 473893, 631910?\n\"Answer: 158017*r - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 8920903000 to the nearest one million.\nAnswer: 8921000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 6:37 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.34 - -0.04. Let p = 1915 + -1902. Suppose -2*x = -5*h + 23, 2*x - 20 = -h - p. Which is the smallest value? (a) -9 (b) -0.5 (c) h (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -x - 38 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m + 27. What is w(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -d - 20*d + 494 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*a - 11800 - 108305 = -2584*a for a.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/60*10\/(-4)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235 = 34*v - 37 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 2 = -5*u + 1, 0 = -4*u - 2*k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 6) + 10 - -9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**4\/4 - 1341*j**3\/2 - 369555*j**2\/4 - 358875*j = 0. What is j?\nAnswer: -725, -165, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -1\/104, 0.5, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 b when two letters picked without replacement from bbbbbbmbbbbbbbbbbm?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8682.381ns to milliseconds.\nAnswer: 0.008682381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3577735 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 1. Suppose -3*d - 9 = -3*f, -27*f - 18 = -2*d - 31*f. What is the closest to d in -1, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.918 rounded to the nearest integer?\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - p = -8*d - 7, 11 = 2*d - 5*p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33552980*m**3*o + 4*m**2*o - m*o + 3*m + 336535*o - 2 wrt m?\nAnswer: -201317880*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 7:05 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10710252 divided by 2604?\nAnswer: -4113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*f - 20 = -w, -5*w + 46 = 3*f. Suppose -i - w = -5*i. Let c = 122 - 118. Put i, c, -2 in descending order.\nAnswer: c, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 13668*h - 15567852.\nAnswer: -3*(h - 2278)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c + 10. Let f be x(-4). Suppose 0 = -p + 10 - f. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003799 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -18. Let a = -223 - -221. What is the third biggest value in -0.2, a, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3624.34 - -4031. Let d = 397 - j. Round d to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 j when two letters picked without replacement from mnmmnnqnqjcmnmn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 9:39 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (38\/(-7))\/(88\/(-4928)). Is y < 303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 279 = 4*v, -3*a - 155 = -4*v + 68. Solve 0 = 6*f - v*f + 110 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 - (3 - -3))*-4 - -6. Which is smaller: 8\/15 or k?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270\/(-990)*(-22)\/6*10\/6?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*11\/28424*-17.\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + -1)*(-2 + (-21)\/(-6)). Let l = f + -7. Let q = 18\/13 + -23\/26. What is the second smallest value in l, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33400 - 45112?\nAnswer: -11312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170961.\nAnswer: 3, 7, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**3\/6 + 15*n**2\/2 - 257*n + 2. Give v(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 58 = -7*k + 3*k, a - 2*k + 16 = 0. Let b be -3*4\/a*(-31794)\/(-28). Suppose -10*n + 333 = -b. Does 22 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 21*d**2 + 7550*d + 3599. Calculate b(-359).\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16503*b**3*c**3 + 28*b**3 - b**2*c**3 - 2*b*c**3 - 3500*b*c - 5*c**3 wrt b.\nAnswer: -99018*c**3 + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*j + 2*j + 0*j)*(2*j + 1 - 1) + j**2 - j**2 + j**2 + (-3 - 2 + 3)*(0*j**2 + 6*j**2 - 2*j**2))*(-j**3 - j + j).\nAnswer: 3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34116 or 35595?\nAnswer: 34116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 - -41. Suppose 0 = u*i + 10 - 35. Solve 2*w = i + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (864*o - 1047*o - 665*o)*(-2*o**2 + 3*o**2 + 0*o**2)*(-o**2 - 2 + 4 + 0).\nAnswer: 848*o**5 - 1696*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3637 and -3.\nAnswer: -10911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (4 - (-67 + -1)) - 4. Let o be 2651\/b + (-1)\/6. Suppose 0 = 37*a - 29*a - o. Solve -a*v + 0*v - 15 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (-4 - -3) - 79. Let x = a - -152. Suppose 2*u + 13 - x = 0. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 11*b**5\/10 - b**3\/6 - 42*b**2 - 108*b. Differentiate x(v) wrt v.\nAnswer: 66*v**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, l: 1, p: 1, c: 2, v: 1, a: 2}. What is prob of picking 1 a and 1 c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8092284.3 rounded to the nearest one hundred thousand?\nAnswer: -8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h + 2. Let o(m) = -9*m - 5. Let n(j) = 5*d(j) + 2*o(j). Let u be (-1 - -2*1)*1870\/17. Let v(k) = 56*k + 55*k - u*k. Give v(n(l)).\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 1. Let h(u) = 2*u + 12. Let i(n) = -h(n) + 3*j(n). Let c be 2*((-27)\/(-6) - 0). Let x be i(c). Sort x, 1, -5.\nAnswer: -5, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 952.7908 seconds?\nAnswer: 952790800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -408735, -817463, -1226189, -1634913, -2043635?\nAnswer: -2452355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, 3, 2, -5 in increasing order.\nAnswer: -6, -5, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**2\/9 + 9829024*k\/3 + 12076214099072 = 0.\nAnswer: -7371768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-6)*(-18)\/(-12). Suppose -s*g - 4*c - 16 = 0, 2*g + g + c + 9 = 0. What is the nearest to 0.2 in -1\/4, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 383 = m - 3*g, g = 2*m + 751. Let y = -246 - m. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73 - 73. Suppose h = 2*n + 4, 4*a + 4*n = 5*n - 350. Is (-2920)\/a + -2 + (-40)\/(-22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j*p**4 - 46040*j*p**2 - j*p + 155774*j wrt p?\nAnswer: -36*j*p**2 - 92080*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7307 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 5 - (1 + (1 - -1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**6\/180 + 5*p**4\/24 + 13*p**2. Let t(s) be the second derivative of g(s). Let q(y) = -11*y**2. Calculate q(t(h)).\nAnswer: -176*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y - 6*y - 316210 = -45724. What are the prime factors of y?\nAnswer: 3, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t = -4*t - 689. Let o = t + -49. Solve -1 = -5*n + o*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 151928 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-48))\/(24\/(-504))\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -7)\/2 - (-9 - -150). Let k = y - -166. Suppose -17*n + k*n + 20 = 0. Sort -2, 0, n in increasing order.\nAnswer: n, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000108312 to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 m when three letters picked without replacement from {j: 7, m: 4}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/15 + -2)\/((-52)\/(-1560)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**3 + 3*k + 8. Let a(g) = 3*g**2 - 2. Let x(c) = -3*a(c) - 2*b(c). Let z(v) = -7*v. What is z(x(l))?\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-305)\/4)\/((55\/(-20))\/11). Suppose 13*y + j = 18*y. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 973*t - 493*t + 51*t**3 - 480*t - 12*t**3.\nAnswer: 39*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 1:35 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 2*y**2 + y**2)*(-2 + 2*y + 2) + 5*y**3 - 3*y**3 - y**3 + (4 + 0 - 3)*(-4*y**2 + 2*y**3 + 4*y**2) + 2*y**3 - 11*y**3 - 13*y**3.\nAnswer: -17*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-3724)\/(-2584)*(-952)\/(-28)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -45041?\nAnswer: -45041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 4173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 642165*r = 642187*r - 462 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(1\/27)))**(-42)*y*y**(1\/28)*(y\/y**42)\/y assuming y is positive.\nAnswer: y**(-9931\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 + 16*v + 29. Let y be m(-6). Solve 0 = f - 3*g - 7, 3*f - 3 = y*g + 10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009324 rounded to 5 dps?\nAnswer: 0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q + 7. Suppose 4*j - j = -3. Let a be d(j). Solve -n + a = -3*r + 2*r, -r + 13 = 5*n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**2 + 13*g**2 + 18*g - 16*g**2 to t*g + x + r*g**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n**2 - 97*n + 4. Let c(f) = 5*f**2 - 96*f + 6. Give 3*c(a) - 4*z(a).\nAnswer: -a**2 + 100*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*k**5*r - k**4 - 115*k**2 + r wrt k.\nAnswer: -1860*k**2*r - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -1475383\nAnswer: -7376915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 7*s. Suppose s = -2*k - 2*j - 18, -3*j - 13 = 3*k - 2*k. Let l = -1226.06 + 1226. Do k and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 64989506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - f + 12 = 0. Suppose 96 = 2*d + 4*d. Suppose 0 = 17*j - d*j. Solve p + 3 = j, 0 = -a + 4*p - f*p - 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 7*l + 38618489 = -158931497, -39510004 = -h + 2*l. What is h rounded to the nearest 1000000?\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1337, 2644, 3919, 5162, 6373?\nAnswer: 7552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-6\/5)*s**(1\/27)*s)**(-41))**(-2\/7) assuming s is positive.\nAnswer: s**(-1804\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 170.5 and -3.\nAnswer: 167.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 60 = -20*c. Let d be 15*(-4 - 65\/c). Solve -4*z = 3*u - 0*z + 7, -20 = d*z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**7\/756 + i**6\/1080 - 13*i**4\/3 + 15*i + 1. Let g(t) be the third derivative of s(t). Factor g(d).\nAnswer: 2*d*(5*d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1.2, 1\/2, -2, 4 in increasing order.\nAnswer: -4, -2, -1.2, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 569368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*u - 10*u - 216. Let k be -2*(6\/(-4) + 2\/4). Put -3, k, u in decreasing order.\nAnswer: u, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-111)\/(5550\/500) - (3 + -1 + (-236)\/19)\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 198 and (-132)\/6*(72\/16)\/(-1)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 3, -224623, -4 in ascending order.\nAnswer: -224623, -5, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k - 1586 = -133*k for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-14) - 74\/(-14). Suppose 32*p = 14*p - 215*p + 5825. Let g = -3 - -8. Solve g - p = -x*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1890 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = h + 3*u - 17, u + 13 = h. Let w(c) = c**2 - 9*c + 2. Let l be w(h). Solve l*s - 2*p = 0, 0*p = 4*s + 5*p + 27 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*w = -170*w + 146690. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/10)\/(6\/(-165) + 0). Is (-11)\/(w\/8)*(-432)\/2 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33130 (base 7) in base 9?\nAnswer: -12344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 111052590.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 139, 166, -61, -668, -1781, -3526, -6029?\n\"Answer: -21*q**3 - q**2 + 177*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18434 + 21472*h - 18434.\nAnswer: 21472*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 878043102?\nAnswer: 2, 3, 146340517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*y - 1283 - 1741 = 0 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/371817765 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 7 = p, -y + 6*y - 3*p = -45. Let u(j) = -4*j + 1. Let s be u(y). Let a = s + -21. What is the lowest common multiple of a and 42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/6)\/(-10 + 1510\/150).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -74415, -148869, -223323, -297777, -372231, -446685?\n\"Answer: -74454*l + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**4 + 4*z**4 + 0*z**4 + 4*z**2 - 3*z**4 - 3*z + 4*z**3 - 2*z**4 as k*z + p*z**3 + d*z**4 + t*z**2 + u and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c**2 + 21*c + 7. Let r(z) = -z**2 - 6*z - 2. Let x(d) = 7*r(d) + 2*w(d). Let v(s) = s + 51. Calculate x(v(p)).\nAnswer: 3*p**2 + 306*p + 7803","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 18\/3445277 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-8) - (-510)\/(-240)) + -8. Let s be -2*((-12)\/2 - p). Let n(k) = -2*k - 5. What is n(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 3:44 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -10. Solve -4*v + 2 = -2*r + g, -4*v - 5 = -3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 8)*((-7*v**3 - 5*v + 5*v)*(0 - 1 - 2) - 4*v**3 + 2*v**3 + v**3) to n*v**3 + t + m*v**2 + z*v and give n.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -63923 (base 11) in base 16?\nAnswer: -16b19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**2*g**3 - 199*c**2*g + 82292*c**2*o - 18*c**2 + 3*c*g**3*o - 3*c*g**3 - 30*c*g**2 - 7*g**3*o + 32*g**2 wrt o.\nAnswer: 82292*c**2 + 3*c*g**3 - 7*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5455705855?\nAnswer: 5, 191, 349, 16369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -211 - -211. Which is the closest to 0? (a) -3 (b) h (c) -3\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -535000 divided by 107000\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 776 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 75634298 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2057067255?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 525469, 1050665, 1575861, 2101057?\nAnswer: 2626253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 1670685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901154 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, 2\/15, 2\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -549 - -549 - (2 + 9 - -6)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23427617 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-9))**34*(w*w*w*w\/(w\/w**(3\/7)*w))\/((((((w\/((w**(-8\/7)\/w)\/w*w))\/w)\/w)\/w)\/w)\/w))**(-1\/3) assuming w is positive.\nAnswer: w**(704\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 0*c**2 - 2*c**2 + 2*c**2 - 2*c**2. Let x(h) = 4*h. Determine g(x(q)).\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c**31*c)))\/(c*c\/((c*c**12)\/c))*c**(2\/23)\/c*c**(-29) assuming c is positive.\nAnswer: c**(278\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/19)*m*m\/(m\/(m*m**8))*m*m*m)**28 assuming m is positive.\nAnswer: m**(7504\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9941.23 take away 52514285?\nAnswer: -52504343.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/(-70) - 2) + 6\/21?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20368 is divided by 463.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-8))\/((765\/60)\/17). Put w, 62, 4 in descending order.\nAnswer: 62, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 424 and 106477?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/3)\/((-2)\/(-3)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 1\/522, -0.552, 5?\nAnswer: 1\/522","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w\/(w*w*w\/w**27))\/w)\/w)\/w)\/w)\/w**(9\/8) assuming w is positive.\nAnswer: w**(159\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 3488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.345712 rounded to three decimal places?\nAnswer: -0.346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6 and -1190037.\nAnswer: -1190031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h + 3*h - h)*(451382 - 1256*h - 451382)*(-5 + 5 - 4*h) as j*h**2 + l*h + n*h**3 + q and give n.\nAnswer: -5024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xtxx. What is prob of picking 2 x and 2 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.657631 microseconds in seconds?\nAnswer: 0.000006657631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 168841*c = -168837*c + 28, 4*c - 4 = 0 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9992, -80515, -272104, -645293, -1260616, -2178607?\n\"Answer: -10089*g**3 + g**2 + 97*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15372\/819 + 12\/52?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2485, -5129, -7727, -10279, -12785?\n\"Answer: 23*y**2 - 2713*y + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/264 and -59\/4.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1457 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -461, -930, -1415, -1928, -2481, -3086, -3755, -4500?\n\"Answer: -2*g**3 + 4*g**2 - 467*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41 and 164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 973335?\nAnswer: 3, 5, 11, 17, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -12*i + 418. Suppose 38 = -9*q + i. Solve -11*o + 16*o - 15 = q for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 - -62. Solve x*p - 3*k = -12, -4*p - 4*k + 4 = -3*k for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -442?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times -3.1\nAnswer: -0.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/1 - (-3 + 1). Suppose 0 = k*q + q + a, 3*q + 5*a = 0. What is q rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -877*v + 866*v = -11. Are v and -1\/333 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - ((-3 - -5) + 0)) + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + q**2)*(2654 + 28*q - 2654)*(1 + 2 - 1).\nAnswer: 56*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24676 by 2.\nAnswer: -12338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002053 rounded to 6 dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4053*c + 4053*c + 6*c**2 + 10 as a + t*c + s*c**2 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + b**2 + b + 21134. Is q(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -12.7. Which is the biggest value? (a) k (b) 3 (c) -50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -96*x - 20*x**3 + 42*x + 21*x**3 + 3*x**2 - 3*x**2 - 3*x**3 + (0*x**2 + 3*x**2 - 2*x**2)*(-2*x + 3*x - 3*x).\nAnswer: -4*x**3 - 54*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -57*p**2. Let b(z) = 25*z**2. What is b(s(k))?\nAnswer: 81225*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 16. Let a be ((-4)\/(-10))\/((-9)\/l). Let z = -52\/135 + -2\/135. What is the closest to z in 0, a, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**4 + y**4 + 2*y**3 + 3*y**3 - 2*y**3 - 2*y**2 as j*y + l + k*y**2 + s*y**4 + a*y**3 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 1438 - 230 = -4*k, -2*k = 5*s - 808. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.2 + -0.7. Which is the third smallest value? (a) v (b) 0.2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3*q**5 + 2235*q**4 + 163626*q**3 - 336168*q**2 = 0?\nAnswer: -69, 0, 2, 812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + y = -9. Let b be 4\/(32\/20)*(9 + y). Calculate the highest common factor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + -12. Suppose 27*b - 38*b = -66. What is the least common multiple of b and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338259609?\nAnswer: 3, 5903, 6367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 4*i - 1, -1600*i + 1602*i = 2*n + 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 29 = 5*u - 3, u + 8 = 2*p. Find the first derivative of 1 - p*i**2 - 5 + 6 wrt i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 9 + 103 - 16 + 28*a - 57 - 13.\nAnswer: 28*a - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 17?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 9 - 17)*(0*h**4 - h**4 - h**4).\nAnswer: 56*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -34.7. Let w = 7.03 + -7. Put w, q, -0.1 in decreasing order.\nAnswer: q, w, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/28 - (-44)\/7. Suppose c + 0 = o. Let l be 3\/4 + (-39)\/(-12). Solve l*x = 5*u - c, x + 5*u - 3 = -17 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -12*y**3 + 6*y**2 - 10*y + 10. Let o be c(5). Let t = o + 2108. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - 21*(-6 + 0). Suppose b = z - 61. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 5*c**2 - 3*c + 3. Let h(a) = 2*a**3 - 2 + 11*a**2 - 16*a + 33*a - 5 - 10*a. Determine -7*d(g) - 3*h(g).\nAnswer: g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.649907 rounded to zero decimal places?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 4 + -4 + 41. Suppose 94*s + h = 101*s. Sort 1, -4, s.\nAnswer: -4, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 j, and 1 c when three letters picked without replacement from {t: 1, j: 3, w: 3, c: 5, m: 8}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 9. Let n = -8 + m. Find the common denominator of ((-61)\/2)\/(3 + n) and 64\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 10:22 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 140793 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + 1 - 1)*(t - 4 + 4) + t - t - t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 536 - 277. Is s a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/136440 and 101\/68220.\nAnswer: 136440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 + 0*l**2 + l + 9*l - 7*l - 1394000. Let k be j(0). Round k to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 957 is divided by 107?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/305245 and 81\/10.\nAnswer: 610490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69331 = -n + d, -89*n = -92*n - 4*d + 207979. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 21 = 2*h, -2*h = -5*w + 80 + 61. Let r = 32 - w. Suppose 5*i = 10, -r*b + 205 + 208 = -i. Calculate the remainder when b is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 10:27 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14069*x**4 + 3*x**2 - 2*x**2 - 10*x**3 - 14066*x**4 + 2*x to f*x + l*x**2 + z*x**4 + s + q*x**3 and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + 8*o - 9. Let i be r(-6). Factor 2 - 89*l**3 + 110*l**3 + i*l**2 + 10 - 48*l.\nAnswer: 3*(l - 1)*(l + 2)*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85693 divided by 1279\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14119 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2586 - 2582. What is the nearest to 0.051 in n, 3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + (-2*1*sqrt(77))\/sqrt(7))*6.\nAnswer: -12*sqrt(11) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 61761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 7*x**4\/12 - 55*x**3\/3 + 69*x**2 - 21*x. Determine t(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -184, -247, -366, -571, -892?\nAnswer: -1359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*c**2 + 93*c**2 + 200*c**2.\nAnswer: 267*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z - 4*z + 6*z + (-2 + 2 + 2)*(3*z + 6*z + 4*z).\nAnswer: 28*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 175a8d6 (base 14) in base 13?\nAnswer: 250266b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**3 + 101*n**2 - 1213*n - 60. Calculate o(31).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13658597543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 4*x**2 - 4732*x - 23636. Give j(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*x = 4, 3*k + 1 = 3*x + 4. Suppose 5*n - 10 = -k. Find the third derivative of 4*s**4 - 3*s**4 + 3*s**n + s**4 wrt s.\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47537 - 47537. What is the nearest to 3 in n, 2\/13, -24, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 6:58 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 2*i. Let t be 199\/36 - (-4)\/12. Let a = t + -23\/4. Sort i, a, 0.1 in descending order.\nAnswer: a, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*l - 20 = 0, 3*l = -4*u + 7 + 13. Suppose 8 = 4*f - 0*f, -u*q + 2*f + 16 = 0. Solve 0 = 4*h + q*j - 16, -4*j = 3*h - 19 + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a second in milliseconds?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - w - 65, -w - 15 = 2*w. Solve y - 7 = 2*n - 19, 0 = 3*n - a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fmmomfmfmoommof. What is prob of picking 2 o and 1 m?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 914490 and 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -30*c**2 - 183*c + 35. What is w(-5)?\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v + 2029 = -29*v + 685 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 755 = -38. Let q = 748 - d. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 262 + -261.5. Let n = -0.1 + -0.3. Which is the third biggest value? (a) z (b) 0.2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 9 = -5*g + 27, 3*g + 5*x - 28 = 0. Suppose -3*o = 3*i + 9, 3*i + g = -i - 2*o. Solve i*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 22. Let s(z) = 2*z - 4. Let x(v) = 3*v - 5. Let w = 8 - 3. Suppose -2*q - 3 = w. Calculate i*s(g) + q*x(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/14 and -119\/282.\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18422 - 733582269.\nAnswer: -733563847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - d = 10. What is the common denominator of 83\/4 and (1\/(-7))\/(d + (-1136)\/574)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -810 = -4*j + j. Let r = j + -154. What is r rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -7. Suppose q*z + 8 = 0, -17 - 179 = -3*u + z. What is the greatest common factor of 80 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5034016 and 23296.\nAnswer: 281904896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 10*j**2 - 25*j + 16. Let t be v(12). Suppose 0*w - w = -x - 5, -w + 5 = -t*x. Is -8\/59 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133, 173, 203, 217, 209, 173, 103, -7?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3 = 9. Let v be 1\/(2 - c)*-1. Suppose v = 5*q - 9. Solve 0 = g - 2*g, -2*s + q*g = -10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*w, -3*w + 2*z = -z. Suppose 0*r + s = 2*r + 3, w = 2*r - 3*s + 1. Let t(b) = 2 + 4*b + 0*b + 0 - 4*b**2 + 8*b**2. What is t(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125 + 193 = 49*u + 58*u + 104 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 510 divided by 170\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15 + -7033?\nAnswer: -701b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 2, 4, 5 in descending order.\nAnswer: 5, 4, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2121022 + -12202110021?\nAnswer: -12212001120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325) + 5 + -5 + 3.\nAnswer: 3 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2 = -10. Let p = -3 + c. Solve -3*i = -4*i + p for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 93080.\nAnswer: 93080.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3559 - 0.0289. Let p = 450 - 429.973. Let h = p - z. Round h to zero dps.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*h = -10*h + 138. Let g = 37 + 630. Calculate the highest common factor of h and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1.8, -960, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3\/7 + 58936*g**2\/7 - 235696*g\/7 + 235680\/7.\nAnswer: -4*(g - 14730)*(g - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-18 - -36 - (15 - 2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + (-2 + (2 + sqrt(405) + 2)**2 - 1*((4*sqrt(405)*3)**2 - sqrt(405)))).\nAnswer: -231624 + 324*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -520, -6, 1, -2, 195 in descending order.\nAnswer: 195, 1, -2, -6, -520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 60\/18 + 2\/(-6). Let k(c) = 6 - 4*c + c**2 - 1 + 5 - 8. What is k(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 7:23 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9391 divided by -7441.\nAnswer: -9391\/7441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 12*o + 7. Let s be z(5). Let j = -71 - s. Let n = 62 + j. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21073*a - 21040*a + 1089 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 97 + -101. Let y(q) = 2 + 4*q + 0 + 2. Determine y(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18540 rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnnnuuunuunn.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 5 = 5*q. Let f = q + 1. Solve 2*h - 13 = 3*b, -f*h + 5*b + 21 = -0*b for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00036743466 rounded to 7 dps?\nAnswer: 0.0003674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 - (-6 + 3))*1. Let l(h) = -h**3 - 2*h**2 + 4*h + 2. Let c be l(-3). What is the remainder when c\/t*172\/2 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 315*s + 19342. Give q(-84).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2651 and 110855?\nAnswer: -293876605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -22*u - 89. Let a be m(-5). Let h(c) = -c**3 + 22*c**2 + 4*c - 26. What is the units digit of h(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(567))**2 - sqrt(14)\/(sqrt(4)\/sqrt(2)) - ((sqrt(35)\/sqrt(5)*5 - ((1*sqrt(567))**2 + sqrt(7))) + -2).\nAnswer: -5*sqrt(7) + 9641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xtj when three letters picked without replacement from {x: 1, t: 2, j: 14}.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ctlllltllclltmmc. What is prob of sequence tml?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12635?\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 20, 15, -4, -43, -108, -205, -340?\n\"Answer: -s**3 - s**2 + 5*s + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-6)*y*y**(-2\/11)*y*y**(2\/7)*(y*y**(-5)*y*y*y*y*y)\/y assuming y is positive.\nAnswer: y**(-300\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 2*i + 1. Let b be m(1). Suppose b = 6*s - s - 25. Let g(v) = -v. Let a(x) = x - 4. Let z(h) = -a(h) + g(h). Give z(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 6574 = -6584 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 - 56*f**2 - 60*f.\nAnswer: 4*f*(f - 15)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-123669)\/(-12) - (-88)\/(-32).\nAnswer: 10303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 39*r + 246123. Calculate f(516).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in millimeters?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j. Let k(x) = -662*x - 14228*x - 5877*x. Calculate o(k(b)).\nAnswer: 20767*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 29*g**2 - g. Let c = -3 + 4. Suppose -i + c = -0*i. Is 11 a factor of h(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.5 (b) 4 (c) -16\/9 (d) -231 (e) 0.022 (f) -1 (g) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -179 greater than -12403\/69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 624850 is divided by 62480?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-4)*(-1600)\/(-480)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.15432 - -0.05432. Which is the nearest to 13? (a) 0.3 (b) -4 (c) v (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 1.9. Suppose 5*l + 12 = 2. What is the second biggest value in -4\/7, l, g?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6591 is divided by 50.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, h: 4, d: 3, q: 2, p: 4, w: 1}. Give prob of sequence aq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, a: 2, m: 2, k: 8, y: 2}. What is prob of picking 2 y and 1 h?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0738704cm in nanometers?\nAnswer: 738704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2 - 6 + 20*l - 13*l - 18. Let v(g) = 22*g - 66. Let i(x) = 10*q(x) - 3*v(x). List the prime factors of i(17).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -2.2, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.5 - 0.5. Let m = j + 1.7. Which is the smallest value? (a) 1\/4 (b) -0.2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -10*c**2 - 4*c - 29. Give p(-5).\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -2\/21, -0.06, -29?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 7 = 14*k. Let f be (71 - 66)*k\/55. What is the smallest value in -2\/7, 0.045, f, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 - -31. Let h be (-3)\/(-2)*12\/(-27). What is the smallest value in w, h, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - a + 1. Let p(x) = x**2 - x + 1. Let i(j) = -4*n(j) + 5*p(j). Suppose 5*z - u - 6 = 4, z - 16 = 3*u. Let f be i(z). Is f <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -880 divided by 28?\nAnswer: -220\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*r - 12*r + 7812. Is 186 != r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x*x**(2\/45)\/x)\/((x\/(x*x\/(x*x**(-1\/29))))\/x)*x**(-2\/9)\/x**18)**(-28) assuming x is positive.\nAnswer: x**(553336\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 10*r - 17. Let m be d(-7). Let t(g) = -2*g + 3. What is t(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71423526 to the power of 1\/2, to the nearest integer?\nAnswer: 8451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 8*u - 106. Let f be o(13). Let c(j) = -1012*j + 29. Is c(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a + 37 = 7*a - 5*n, 0 = -a + 5*n + 41 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8*6\/(-9))\/(62\/93))\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of l - 87\/20*l**5 + 22 - 1\/2*l**3 - 13\/2*l**2 + 0*l**4. What is the second derivative of c(z) wrt z?\nAnswer: -522*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -698865367 from -0.5.\nAnswer: 698865366.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 - 2.6. Let a = -2.5 - j. Let t(s) = s**3 - 3*s**2 - 3. Let f be t(3). Put f, a, 3 in decreasing order.\nAnswer: 3, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 192 - 30. Calculate the least common multiple of 6 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.25 + 1.95. Let g be -3 - (((-12)\/(-7) - 1) + -4). Which is the second smallest value? (a) 3 (b) -3 (c) g (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 0.5, -1116, 2.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a gram in milligrams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + 1 + sqrt(125))**2.\nAnswer: 22*sqrt(5) + 606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 347323 a multiple of 486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.11 - -0.09. What is the biggest value in -1\/4, -0.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 964 and 64.\nAnswer: 15424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 29204\/11 and 2655 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20497159 is divided by 891180.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1*(-6)\/(-1) - 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 881620457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-15))\/(16\/6744). Let l = 113 + y. Which is the second smallest value? (a) -4 (b) 1\/4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.4 (b) 110\/17 (c) -4 (d) 7.58\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*w + 37*w**2 - 109*w**4 + 40 + 111*w**4 + 48*w**2 wrt w?\nAnswer: 24*w**2 + 170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1065 - 2*f + 3*f + 6*f - 6*f - 2*f to v + z*f and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (10 + 105\/(-28))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*a + 30*a = -300. Solve -a = 4*x - 11 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/32 and -43\/1088?\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 23 + 35*g**3.\nAnswer: 35*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + -5)*-9*(0 + -1). Let v be ((-15)\/r + -1)*-9. Let c(o) = o**2 + 5*o - 5. Determine c(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000040511 to six decimal places.\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -56, -3, -0.2?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -112, -37.\nAnswer: -112, -37, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 27*j - 96. Let c be x(-28). Let p be c\/(-24) + 1\/6. Solve 5*r + 2 + 6 = p*l, -l = 4*r + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3037 - 3032. Put 2, -17, r, 1 in decreasing order.\nAnswer: r, 2, 1, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 3*c + 4. Let d be o(4). Suppose 3*i - 2*p - 2 = d, -5 + 0 = -p. Which is smaller: i or 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*g + 7 = g, 0 = 3*w + g - 4. Let c be 0 - w*(-9)\/3. Let x be c\/3*(21 - 4). Which is greater: x or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -478 and 153.551.\nAnswer: -324.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9134 + 22161. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/30)*z**(2\/121) assuming z is positive.\nAnswer: z**(181\/3630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 169 - 1958 = -46*u, 110*p - 151 = -4*u + 109*p for u.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*d + 64. Let k be d\/(-33) - (-6)\/(-33). Let t = -3 - -2.96. Which is smaller: t or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, n: 3, k: 1}. Give prob of sequence knn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wykw when four letters picked without replacement from vwkkkymywwwkwyl?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -18.311 and -0.7.\nAnswer: -19.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 7*y - 6. Let l be b(5). Suppose 5*s - l*s = 4. Let f be (s\/8)\/(2\/12). Solve 0*a = -a - f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(68) - (sqrt(68) + -5*1*sqrt(68)))*-5)\/(((sqrt(240) - (sqrt(240) - -1*sqrt(240)))\/sqrt(10))\/(sqrt(24)\/(sqrt(4) - sqrt(16))))*-5.\nAnswer: 375*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of d**4\/24 - 31*d**3\/18 + 287*d**2\/12 - 833*d\/6 + 6687. Factor m(x).\nAnswer: (x - 17)*(x - 7)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, 0.4, 0.374?\nAnswer: 0.374","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 1 = 3*n. Let d be (-18)\/15 + (-245)\/525. Let i be (-4)\/26 - (-3 - -3). Which is the nearest to 2\/3? (a) n (b) d (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 1 = 1. Calculate the remainder when 53 is divided by (-1 - -2) + (-65)\/(i - 5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/3 + a**2\/3 - 274*a\/3 - 544\/3.\nAnswer: (a - 17)*(a + 2)*(a + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 4*j - 8, 1 = 5*b + 5*j - 9. Suppose 0 = -2*r - 6, b*t + 102 = 2*t - 4*r. Let k = t - 39. Solve -2*o = -k*o + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 37*v**2 + 73*v + 201. Give k(39).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 7*o**6\/60 - 43*o**4\/24 - 43*o**2. What is the second derivative of z(n) wrt n?\nAnswer: 84*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 13\/18 - 240\/1080.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*u - 139*u + 14300 = -31*u - 44*u for u.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g - g - 7 + 4*g + 14*g**2 + 4*g. Let f(p) = 9*p**2 + p - 5. Give 8*f(h) - 5*u(h).\nAnswer: 2*h**2 - 2*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 247, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.097 to two dps.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 178947 to the power of 1\/2, to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.5, 28701 in decreasing order.\nAnswer: 28701, 5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1525*g**2 + 227*g + 3463606?\nAnswer: -3050*g + 227","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -q**2\/2 - 4*q - 1. Suppose -15 = 2*b - 5*c, 5*c - 23 = 2*b + 8*c. Let r be w(b). Solve -2*o + r = -2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4955857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -142*d*v**6 + 209*d*v**4 - 173*d*v**2 - 4*d*v + 15*v**2 - 3 wrt v.\nAnswer: -17040*d*v**3 + 5016*d*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**2\/15 + 292*l\/15 - 98\/5 = 0.\nAnswer: -147, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*q**2 + 29*q**2 - 11*q**3 + 351*q**2.\nAnswer: -11*q**3 + 291*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9548 - 4876. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**5 + 5905*w**4 + 29715*w**3 - 77125*w**2 + 41510*w = 0. Calculate w.\nAnswer: -7, 0, 1, 1186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d + 0*d + 2*d + (-3 + 3 + 2*d)*(36 + 212 + 205).\nAnswer: 908*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 - 80*g**3 + 64*g**3 + 5 + 4*g**2.\nAnswer: -16*g**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/840 and -101\/3750?\nAnswer: 105000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {w: 2, u: 9, t: 2, g: 1, k: 3, r: 1}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -1287*u**2. Let w(f) = 2*f**2. Calculate w(g(o)).\nAnswer: 3312738*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -58, -7368482 in decreasing order.\nAnswer: 2, -58, -7368482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 + -22. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16618116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 353 - 338. Calculate the greatest common factor of m and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/7, -3, -3\/5, -0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 11e6?\nAnswer: -11ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -3. Let f = s + 26. Let i = -15 + f. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/5 + 5\/25. Is -1*(1*-143 + r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-124)\/2387)\/((-4)\/(-14)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 a, and 2 w when four letters picked without replacement from cdwwaiicwacaacawdja?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109423, -110137, -110851, -111565?\nAnswer: -112279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/7 + 404500*d\/7 - 20452531250\/7.\nAnswer: -2*(d - 101125)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*y + 36 = -52*y. Suppose 0 = -4*j + 49 - y. What is the smallest common multiple of j and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence atc when three letters picked without replacement from {a: 1, t: 1, c: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23205 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - -2 - (-8)\/4. Let n(g) be the second derivative of b - 1\/3*g**3 + 2*g + 0*g**4 + 0*g**2 + 1\/10*g**5. Find the second derivative of n(f) wrt f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40065 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -9*n + 5. Let i(x) = -734 + 373 + 362. Calculate -d(p) + 5*i(p).\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i*z**5 + 2*i*z**2 - 4*i*z - 51*i - 2441*z**6 + 12 wrt z.\nAnswer: -120*i*z**2 - 292920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -3.97. Let d = l - -2.97. Sort 1\/5, 2, d in decreasing order.\nAnswer: d, 2, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, h: 1, p: 2, x: 1}. What is prob of sequence zxz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6561 divided by 6561.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 11*d + 42. Let m be t(12). What is the highest common factor of m and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11902338 to the nearest integer?\nAnswer: 3450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-264 - 654*q - 56 + 653*q)*(234 - 262 + q + 0*q) in the form y*q**2 + l + p*q and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684) + -1 + 4 + 3 + (sqrt(684) + -1 + sqrt(684))**2 + (3 + sqrt(684) + 1)**2*-6.\nAnswer: -1457 - 306*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-684)\/133)\/(-4))\/((45\/42)\/5). Sort 0.1, 0.5, l, 239 in descending order.\nAnswer: 239, l, 0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36584308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4253\/100344 - -3\/4181. Calculate the common denominator of q and -97\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 7.03. Let a = o + 0.029997. What is a rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3582 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28391 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -625, -629, -635, -643, -653, -665, -679?\nAnswer: -695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 250335713*m + 760427765.\nAnswer: 250335713","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40842287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 24967, 24964, 24961, 24958?\n\"Answer: -3*u + 24970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/15 + 4 + -5. Let m = -95\/341 + 3\/31. Which is the biggest value? (a) m (b) f (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, r: 7}. Give prob of sequence rre.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -329.41+3171.39\nAnswer: 2841.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1755 and -55.24324.\nAnswer: 1699.75676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - -5986?\nAnswer: 598c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -16.5. Let r = f + 3.1. Let p = 1.6 - r. What is the second smallest value in 10, p, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (368 + -361 - ((-7826)\/66)\/(-7)) + (-6)\/99?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -223, -6 in increasing order.\nAnswer: -223, -6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16017\/22 - -727. Suppose 660 = -9*z + 15*z. Calculate the common denominator of s and 245\/z + (3 - (-9)\/(-3)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 0 - (3 - (3 - -2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 85458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 0*k + 42*k**3 + 8 + 5*k**2 + 11 - 2 + 8*k. Let z be s(-7). Round z to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l + 590 = 104. What is the remainder when 68 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*t + 1233, 0*r + 300 = r - 4*t. List the prime factors of r.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 577604 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a factor of 3691015978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 0*o + 12 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y - 2. Let h be m(3). Suppose -2*n - 3 = -h. Let v be -5 + -6 - (-77)\/7. Solve -n*j = -v*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a millennium in decades?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008723756 to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 265361.67 seconds?\nAnswer: 0.438759375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l + 2 + 5*l + 8 + 2*l + 3*l - 6*l + (-2*l - 3*l + 3*l)*(0 - 4 + 3).\nAnswer: 3*l + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 1:13 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 7*y**2 + 7*y + 129. Give i(-6).\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, u: 3, g: 6, o: 1}. What is prob of sequence gu?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 407*z + 696*z**3 + 27 - 406*z - 86*z**3 wrt z.\nAnswer: 3660*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.095*525388\nAnswer: 49911.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 149 and 839751633?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.32001 tonnes to nanograms.\nAnswer: 6320010000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 100110101111?\nAnswer: 100110101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1031467?\nAnswer: 109, 9463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 2:33 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8257?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**5\/60 + f**4\/4 - f**3\/2 + f**2. Let k be z(2). Suppose -k*p = -p. Is p greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1. Let l be (6\/9)\/((-2)\/(-123)). Let c = -284\/7 + l. Which is smaller: c or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2706490 <= -2706488?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 7*d + 30. Let s(n) = -13*n - 70. Let g(w) = 7*i(w) + 3*s(w). Let a(r) = 100*r**2. Give g(a(f)).\nAnswer: 1000*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*((f**23*f*f)\/f)\/f*f\/f**(-5) assuming f is positive.\nAnswer: f**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2014 - 1182. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*h - 2 = 0, 468 = 2*v + 2*h. Suppose -v = 3*w - 70. Let t = w + -19. What is t rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, w: 3}. What is prob of sequence wkw?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 809 (base 13) in base 2?\nAnswer: 10101010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 384 + -78. List the prime factors of f.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = k, 74*k = -5*u + 77*k - 114 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*i**2 - 2173*i - 43768 wrt i?\nAnswer: 6*i - 2173","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b = 5*b + 43875. Let h = b - -2755. What is h rounded to the nearest 100?\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5691, 11382, 17083, 22800, 28539, 34306?\nAnswer: 40107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 4)*(2*s + 1 + 2*s - 3).\nAnswer: -8*s + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -3, -0.2, 0.5, -106269?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2013816*12\nAnswer: -24165792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/35 - 2140\/(-7). Suppose -288 = -3*v + h. Let m = v + -119. Does 21 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j. Let a(w) = 376*w - 6. Determine l(a(g)).\nAnswer: 376*g - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 0*u**3 + 1\/6*u**6 + 15*u + 0 + 0*u**5 - 3*u**2 + 0*u**4. What is the first derivative of j(x) wrt x?\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*b - 4*g + 128, -3*g + 126 = 2*b. What is the common denominator of 95\/22 and 6\/50*b\/8?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 373853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -7. Suppose -f = h - 11. Solve 0 = f*y - 0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 3*b - 2*j, -2*b + 5*j = -7*b + 90. Let i(z) = 0*z + 2*z - 4*z + z**2 + 3. Calculate the least common multiple of b and i(3).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d = 0. Let g be 4 + d - (-4 - -6). Suppose -122 + 38 = -g*o - 4*i, 0 = 4*i + 12. Is 16 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95\/7157 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(84\/(-35)) + -2 + 45128 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + 56?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*j + 8*j - 3 - 43*j + 3 + 25*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -3\/7 (c) -35366 (d) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 14*q + 2. Let t be m(14). Let k(w) = -6*w + 2. Let o(b) = -13*b + 5. Calculate t*o(l) - 5*k(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.19789, -0.1, -1\/3 in decreasing order.\nAnswer: -0.1, -0.19789, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 5)*(410*u - 146327 + 146327)*(-u - u + u).\nAnswer: -820*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355089282?\nAnswer: 2, 3, 29, 2040743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -52\/9 greater than 842?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/53040 and -5\/33?\nAnswer: 583440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1056221 and 2317.\nAnswer: 7393547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 616 + 615 - 42*m)*(1 - 1 + 2).\nAnswer: -76*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -121*k**2 + k. Let q(n) = 14615*n. Calculate q(y(f)).\nAnswer: -1768415*f**2 + 14615*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.12 - -0.12. Let u = -0.081 - 39.919. Let n = 37 + u. Which is the second biggest value? (a) 5\/3 (b) n (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2951474us in nanoseconds?\nAnswer: 295.1474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -581 - -1865. Is r a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + -1*(sqrt(114) + (3*sqrt(114) - sqrt(114))))\/sqrt(6).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-88)\/(-16)*2*5. Let i = j - 23. Calculate the greatest common divisor of i and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -521 = -3*l - 4*w, 481 = 3*l - 0*w - 4*w. What are the prime factors of l?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 3:36 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24730 and 5267490.\nAnswer: 5267490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5993, 11983, 17993, 24035, 30121?\n\"Answer: 2*v**3 - 2*v**2 + 5982*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 695.\nAnswer: -4170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 10*s + 23 + 33 + 305. What is the remainder when 134 is divided by c(-29)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -363, 0.5, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20263 + -9732. Suppose r - 27469 = k. Round r to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 98*b + b. Let t(s) be the second derivative of s**5\/20 + 5*s**4\/12 - 7*s**3\/6 - 3*s**2 - s. Let g be t(-6). Solve -4*h + b*h + 8 = g for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -91 + (9 - -15) + -9 + (-52 - -18)?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -47*x**2 - 5*x + 36. Let b be r(1). Let y = b + 104. Sort y, -1, -4.\nAnswer: -4, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26\/(-351)*9 + 38\/30 + 1. Factor 0 + w*p - 2\/5*p**2.\nAnswer: -2*p*(p - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3778*k + 1079083 - 989*k - 1079083.\nAnswer: -4767*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22936 divided by 19.\nAnswer: 22936\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/6 + 6)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.457189 + -0.085399. Let w = y - 0.3892. What is w rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 p when three letters picked without replacement from {c: 10, p: 1, d: 1, t: 2, m: 2}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 - 4*y**2 - 3*y**2 + 2*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -77, 355, 1289, 2977, 5671, 9623, 15085, 22309?\n\"Answer: 42*w**3 - w**2 + 141*w - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -5*y**8\/504 + 64*y**7\/945 - 67*y**6\/540 - y**5\/15 + 7*y**4\/27 + 8*y**3\/27 + 2*y**2 + 3*y + 364. Suppose d(m) = 0. What is m?\nAnswer: -2\/5, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 9*u**2 + 6*u - 9. Let a(c) = -3*c**2 - 2*c + 3. Give -17*a(j) - 6*r(j).\nAnswer: -3*j**2 - 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -25, -819, -3059, -7471, -14781?\n\"Answer: -121*n**3 + 3*n**2 + 44*n + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(3 + 148\/(-48)). Calculate the greatest common divisor of 27 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -1272?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (213423\/3)\/7 - -1. Let n = y + -101533\/10. Let t = 19515 - 234329\/12. What is the common denominator of n and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 49087?\nAnswer: -196348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(2 - 2 + o) - 4*o - 6*o + 4*o + (o + 0*o + o)*(3 - 3 - 6).\nAnswer: -19*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**2 - 5254 + 5*t**2 + 5254 - 2*t**2.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 less than or equal to 130258\/499?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*b**2*y**5 - 3319*b**2*y + 76*y**6 + 2*y**2 - 10 wrt y.\nAnswer: -840*b**2*y**2 + 9120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 12*u**2 - 3*u - 25. Let d be m(-12). Let p be 2\/(-6)*(-5 + -13). Suppose -p*c = -c - 605. Calculate the highest common divisor of d and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1701)*1)\/(-5*sqrt(27)).\nAnswer: -3*sqrt(7)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 604, 520, 436, 352?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2\/3)*t**27)\/(t**(4\/15)\/(t**7*t*t)) assuming t is positive.\nAnswer: t**(187\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6*h - 4 = -4*v, 4*h - 22 = 5*v. What is the third derivative of x**3 - 6*x**2 - 2*x**3 - x**h wrt x?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**3\/3 - 560*c**2 - 117600*c = 0.\nAnswer: -420, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22141835.\nAnswer: 5, 257, 17231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1617885 and 323577?\nAnswer: 1617885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1168 = 2*m - s - 3*s, s = 5*m - 2911. List the prime factors of m.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 6:35 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 109632 and 0.4?\nAnswer: 43852.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/42 - (-23)\/7. Suppose 5*d + 4*m + 19 = 4, -x*d + 13 = -2*m. Let g(s) = 3*s - d + 0*s - 2*s. Let k(t) = 2*t - 2. Calculate -3*g(z) + k(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + k**2)*(k - 5*k + 5*k + (0 + 2 - 3)*(0*k - k + 3*k) - 3*k - k + 2*k + 99 - 99 + 230*k) in the form b*k**2 + c + o*k**3 + d*k and give o.\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2068 + 178 - 643 + 3*m)*(5*m**4 + 0*m**4 - 3*m**4).\nAnswer: 6*m**5 - 5066*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**5\/60 + d**4\/6 + d**3\/6 + 2*d**2 + 26*d. What is i(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9412805 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -706 - 383 + 2*q - 195.\nAnswer: 2*q - 1284","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23838 by -5.\nAnswer: -23838\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from vwrrs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (850\/(-20) - -2)\/6 + 7.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 499770.\nAnswer: 2, 3, 5, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-68)\/(-3)*(-6)\/(-4)*-26. Let u = a + 1447. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -367745964*g. Let k(n) = -n. Determine k(r(x)).\nAnswer: 367745964*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 6 + 463*p + 9 + 270*p - 224*p as m + r*p and give r.\nAnswer: 509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1757*g**3 - 783*g**3 - 980*g**3.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-3)\/(-24)*2). Suppose o*c = -c + 15. Find the second derivative of 5*u - 2*u**c - 5*u - 4*u + 2*u wrt u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1289711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 34205772 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12\/217 + 14299\/4340. What is the common denominator of k and -11\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from rfrrdrxqrqfxqrrffdxf.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9469800 (base 11) to base 14.\nAnswer: -230602a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**4 - 352*z**3 + 15786*z**2 - 21924*z - 363312 = 0.\nAnswer: -4, 6, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 + 44 = -34*y + 224 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - -1 - (2 - (-3 - (10 - 11)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75 + 57.4. Let d = -18 - z. Which is the biggest value? (a) 4 (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 14\/4) + 7\/(-14).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 629*s - 65. Let b(q) = 942*q - 100. What is -7*b(z) + 11*m(z)?\nAnswer: 325*z - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -68 + (49 - -26) + -36.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82 by 2.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 10*h**2 - 12*h - 5. Let f be 4\/6 - (-35)\/(-3). Let m be s(f). Let q be m\/33 + (-432)\/(-44). Solve -5*n + q*n = 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 + (-77)\/33)\/((-4)\/(-402)). Let s = k + -87. List the prime factors of s.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30710535*h**4 + 307*h**2 - 536*h - 1 wrt h.\nAnswer: -737052840*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(1*(-25)\/5)\/(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**2 - 3*q + 7. Let d(v) = -6*v**2 + 5*v - 15. Let i(l) = -3*d(l) - 5*y(l). Differentiate i(f) wrt f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 1 - (-2)\/(-2). Let z be ((72\/48)\/((-6)\/134))\/(2\/4). Which is the fourth smallest value? (a) x (b) z (c) 4\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = l - 11*k - 16, -4*l + k + 94 = 0. Let n = l + -20. Let a(v) = v + 2. Give a(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -200*k + 13. Let n(p) = -199*p + 9. Give -2*i(j) + 3*n(j).\nAnswer: -197*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/10 + (-18)\/(-5). Suppose -5*r = 2*m - 173 + 43, -3*r + 5*m + 109 = 0. Suppose -j*s + 100 = r. What is the highest common divisor of s and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 8*s - 12. Let f(i) = -9*i + 14. Let k(r) = -4*f(r) - 5*v(r). Let y be k(0). Suppose x = -0 + 2. What is the greatest common factor of y and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3 = -7. Let m be o - (-139002)\/(-4)*4. What is m rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2\/11 (b) 163 (c) -0.2 (d) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from bbbenebbebbnbbbe?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**4\/5 + 402*k**3\/5 + 404*k**2\/5 = 0. Calculate k.\nAnswer: -1, 0, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + ((-2475)\/363 - 3*(-6)\/(-9)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -196*r**2 - 176*r - 9. Let h = 39 - 45. Let x(b) = 98*b**2 + 87*b + 5. Let y(o) = h*a(o) - 11*x(o). Find the second derivative of y(f) wrt f.\nAnswer: 196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r*r**(-2\/7))\/r*r))**48*((r\/r**(-6\/11)*r)\/r)\/(r\/(r*r**(1\/5)*r*r)) assuming r is positive.\nAnswer: r**(6722\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**3\/6 - s**2\/2 + 1. Determine n, given that w(n) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(190)*-4*-1)\/((sqrt(100) - (sqrt(100) + -2*sqrt(100)))\/sqrt(10)))**2.\nAnswer: -4*sqrt(19) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**3*a**(-4\/5)\/a*(a*a\/(a*a**(2\/7)\/a*a))\/a**3)**24 assuming a is positive.\nAnswer: a**(-5112\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 571761.\nAnswer: 8\/571761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**3 - 83*g**2 + 38*g + 129. Let p be h(41). Let v(d) = -3*d + 229. Is v(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1296 times -0.06\nAnswer: -0.067776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2750995 divided by -325?\nAnswer: -42323\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-25)*(-4)\/(-4) + (-27626)\/(-950). Solve 4*w - 5 = 3*a, -5*w + 10 = -34*a + v*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 45387*t + 90769. What is g(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 5*c - c)*(-1 + 0 + 4).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.6975431 - 84.6234977. Let m = -24.321046 - l. Let w = m - 62. What is w rounded to 7 decimal places?\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a**4 - 5*a**3 + 5*a - 4. Let y(c) = -3*c**4 + 4*c**3 - 4*c + 3. Let w(v) = -2*m(v) - 3*y(v). Find k such that w(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 635584?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/5))**13)**(-2\/13)\/(((d\/d**1)\/d*d)**14)**(-10) assuming d is positive.\nAnswer: d**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.043 + 0.043. What is the closest to -7 in y, 0, 2\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 11*w**3\/3 + 45*w**2\/2 - 80*w. Find the first derivative of n(d) wrt d.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -207, -471, -831, -1281, -1815, -2427, -3111?\nAnswer: -3861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 274144782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-16) - (-11)\/(-4). Let w = -1 - a. Solve w*g = -6, -2*x + 0 = g + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-5 + 4 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59875475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -302732 (base 8) to base 2\nAnswer: -11000010111011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*t**3 + 113*t**3 - 69*t**3.\nAnswer: -18*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1690.5 to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -66*c**3 + 9525*c**2 - 3020*c - 571. Calculate m(144).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = 1649 - 6249. Suppose 0 = 4*r - 8*r + n. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 11:56 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -6*b. Suppose 4*y - 4 - 8 = b. What is the second derivative of 3*p + 4*p**y - 4*p + 0*p**3 + 5*p wrt p?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119 + y - 2*y - 119.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 9:00 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3166305171?\nAnswer: 3, 53, 19913869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2 - 1. Let w(c) = 4246*c**2 - 5535. Let o(s) = -2*w(s) - 6*y(s). What is the derivative of o(x) wrt x?\nAnswer: -16960*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 8:33 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1819 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 1932?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*a**4 - 56067*a**3\/4 + 79642*a**2 - 264435*a\/4 + 675\/2 = 0. What is a?\nAnswer: 3\/584, 1, 5, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + -13 + 36 + 6. Which is the third biggest value? (a) 2\/5 (b) x (c) -0.1 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2264804129 and 1.4?\nAnswer: 2264804127.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + y - 303, -2*i - 5*y + 126 = -3*y. Let d = 14 - -1. Calculate the greatest common factor of d and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -132402 + 4?\nAnswer: -132343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 - 288\/(-40) - (-2)\/(-10). Suppose u*t - 292 = 728. Does 17 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -203.4 - -200.4. Which is the biggest value? (a) -9\/28 (b) k (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 32816.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 4 - 10. Suppose -4*u = -20, -3*u - 87 = o*j - 414. Calculate the remainder when j is divided by 59.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-3))\/(13\/39)*3. Solve -2*f = y*p + 8, -2*p + 13 = -4*f - 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 + (-1 - -1) + (16 - (5 + -7 + 9))?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/3)\/((-52)\/39) + 171\/36.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 27 + 26 - 68 + 3*f.\nAnswer: 3*f + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -p - 959892*p**2 + 0*p**3 + 959879*p**2 + 1 - 2*p**3 - 31*p**4 as h*p**2 + s*p**4 + i*p**3 + u + m*p and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*x + 143*x = 65*x + 168 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 7:31 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 155 - 1134080?\nAnswer: -1133824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*k + 6. Let c(z) = z**2 - 2. Let d = 165 + -175. Let y(o) = -2*o**2 + 5. Let f(i) = d*c(i) + k*y(i). Give f(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14219132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -863 + -6c7?\nAnswer: -114a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 8, h: 2, v: 5, m: 2}. Give prob of sequence emh.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 307689206 + -457614551. Let c = -343628866109\/2292 - m. Let j = -2\/573 - c. Calculate the common denominator of 38\/9 and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**3 + 12*t**2 + 12*t - 12. Suppose -22*q + 26*q = -4*a + 8, -3*q = -3*a. Let x(p) = p**2 + p - 1. Give q*r(k) - 12*x(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3655*r**2 + 7304*r**2 - 3651*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*q**4 + 6080*q**3 + 189943*q**2 wrt q.\nAnswer: -312*q + 36480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42*1*((-4020)\/140 - -29)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6796 - 2038. What are the prime factors of q?\nAnswer: 2, 3, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2242 is divided by 187.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (94 - 94 + 36*i)*(6*i + 2*i - i) - 6*i**2 + 3*i**2 - 2*i**2 to the form w*i**2 + p*i + r and give w.\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 433*2*(-70)\/(-28). Let v = 4452 - b. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25197.2239 to the nearest integer.\nAnswer: 25197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60182147?\nAnswer: 67, 898241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 - 9*h + 43)*(0*h + 2*h + h + (2 - 1 + 1)*(-4*h + 3*h + 0*h) - 10*h + 24 - 24).\nAnswer: 81*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/102 and 19\/187.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (6 + (-462)\/28)*-2\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*q + 97, 5*q + i - 164 = 2*i. Solve 0 = -60*h + q*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/487682 and 137\/12.\nAnswer: 2926092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1231.64207 - 1231.7. Round s to three decimal places.\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -332.3 (c) 0.5 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59814 divided by -86?\nAnswer: -29907\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -779487*d**2 + d - 2291309 with respect to d.\nAnswer: -1558974*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53187 or 53188?\nAnswer: 53188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**6\/360 - 7*p**5\/540 + p**4\/108 + 5*p**2. Let m(v) = 0. Calculate v.\nAnswer: 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a = 5*p - 12*a - 17, -p - 5*a - 7 = 0. Let c(t) be the first derivative of -1\/2*t**4 + 2*t**3 - 3 + 2*t - p*t**2. Solve c(j) = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3*n + 6, 3*s - 2 = 2*n + 4*s. Suppose t = -t, -3*h + 3*t + 12 = n. What is the units digit of 15\/10 + (-2)\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 11:30 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**5\/60 + f**4\/8 - 10*f**3\/3 + 59*f**2. Give g(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13db (base 14) to base 15\nAnswer: -10a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37\/221 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26\/111 + -1103\/444. Let w(h) = 208*h**2 + 3*h + 5. Let x be w(-4). Let c = 93019\/28 - x. Calculate the common denominator of v and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 * -0.07\nAnswer: -1.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11209, -22428, -33641, -44836, -56001?\n\"Answer: 2*b**3 - 9*b**2 - 11206*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 9 - 7 + 0 - 2 + 12 + (-3 + 4 - 3)*(6 - 6 + 7) + 0 - 3 + 4)*(-2*c - c + c) as p + o*c and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540575 is divided by 2526.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -576*u**2 - 644 + 227*u**2 - 553 + 108*u**2 with respect to u.\nAnswer: -482*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2101200121 (base 3) to base 10\nAnswer: -47158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -6*d**3 + 8*d**2 - 3*d - 5. Let g(u) = 2*u**3 - 3*u**2 + u + 2. Let m(w) = 3*f(w) + 8*g(w). Let z be m(2). Is z greater than or equal to -78\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-30))\/(70\/25 - 3)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 t when two letters picked without replacement from {k: 1, t: 1, f: 1, l: 1, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 10 (b) -34 (c) -3 (d) -0.5 (e) 1 (f) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*y + 10 = g, 5*g - 15 = 3*y. Let x be (-6)\/(-33) - g - (-174)\/11. Solve i + 0*o + 4*o + x = 0, -2*o = i + 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (3 - (3 + 0 + 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1571, 6078, 13581, 24080, 37575?\n\"Answer: 1498*n**2 + 13*n + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510378.\nAnswer: 2, 3, 11, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(405))**2.\nAnswer: -2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-1) + (-2 - 0). Let v(r) = 4*r**3 + 81*r**2 - 46*r + 9. Let h be v(-21). Is h\/(-10) - f\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -13*f - 9. Let o(s) = -6*s - 4. Let q(g) = -5*o(g) + 3*x(g). Is q(-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) 1 (b) -65 (c) -42\/13 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*s + 39*s + 12 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 9 = -3*u, -5*j = 2*u - 8*j + 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -9. Let q(i) = -i**2 - 6*i - 3. Let s be q(-4). Suppose -s*x + 9 = -6. What is the highest common factor of b and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 60. Let t = w - 44. Solve -6*n = -n + p + 18, -3*n - t*p = 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**4\/8 - 54727*l**3\/8 + 2683357*l**2\/8 - 36534005*l\/8 + 10866189 = 0.\nAnswer: -54776, 3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 54389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-290)\/120*4 + 10. Factor 0 + 5\/3*h**2 - 4\/3*h**3 + w*h**4 - 2\/3*h.\nAnswer: h*(h - 2)*(h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 18*d**2 + 35*d - 15. What is the least common multiple of k(-20) and 30?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 8:24 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of s**4 - 7790*s**3 + 1156*s**2 + 14264*s + 1112.\nAnswer: 12*s**2 - 46740*s + 2312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47 and 466992?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19569 or -20306?\nAnswer: -19569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 5. Which is the fourth smallest value? (a) i (b) -0.1 (c) -0.5 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**4\/17 + 370*y**3\/17 + 14478*y**2\/17 - 250074*y\/17 + 235224\/17 = 0.\nAnswer: -99, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - s = 14, -6 = c + 5*s - 10*s. Suppose -37 = -3*f - c. Let w = 134 - 68. Calculate the highest common divisor of w and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**5 - 20*n**4 + 25*n**3 - 10*n**2.\nAnswer: 5*n**2*(n - 2)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 4198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + m**2 - 6*m**3 - m**2 + 5 - 6*m. Let v = -3 + 3. Let h be (0 + -5)\/(1 - v). Let o(a) = -5*a**3 - 4*a + 4. Give h*o(x) + 4*g(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5*i - 4, 2*h - 2*i = 8. Let c(a) = 4 - 7*a + 4*a**h - 13 + 12. Does 6 divide c(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-14) + (-6 - -6).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*s + 0*s**2 + 65*s + 6*s**2.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**4 - 3*d**4 - d**4 + (-2*d**2 - 2*d**2 + 3*d**2)*(-d**2 + 2 - 2) as u + w*d**2 + r*d**3 + t*d**4 + q*d and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9 + (-290)\/16 + (-63)\/(-7). Which is the biggest value? (a) 7\/11 (b) 2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9 - -9)\/(-4 + -1). Suppose -48*l + 59*l - 385 = n. Calculate the lowest common multiple of 42 and l.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 266613 by -3.\nAnswer: -88871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - g + 4*g - 177, -o = -2*g + 58. Does 3 divide o\/(-6) - (1 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -16*r**3 - 48*r**2 - 3*r + 2. Let h be o(-3). Which is the biggest value? (a) h (b) -2 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2134 - -33. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3 = 6. Let j(l) = l**2 + 4*l - 3. Let w be j(r). Let o(p) = p**3 + 7*p**2 + 7*p + 6. Let q be o(w). Let a(n) = n**3 - n**2 + 10. Determine a(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwokw. What is prob of picking 1 o and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 + -128. Let t = h - -119. Calculate the smallest common multiple of t and 12.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10422, -41761, -93992, -167109, -261106, -375977, -511716, -668317?\n\"Answer: l**3 - 10452*l**2 + 10*l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 10:04 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 89 = 5*v - 16. Sort v, -5, -293 in descending order.\nAnswer: v, -5, -293","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, h: 3, i: 1, f: 1, m: 1}. Give prob of sequence mh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/3 (b) -0.6 (c) -1228 (d) -2\/25 (e) 3 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-108)\/(-243))\/(8\/258)*(-198)\/66?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -742\/885?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, e: 2, i: 1, x: 1, c: 2, u: 1}. Give prob of sequence uj.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -2.54, -4, 2\/23 in increasing order.\nAnswer: -4, -2.54, 2\/23, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8041219?\nAnswer: 8041219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n. Let o(k) = -2*k. Let s(g) = -15*g. Let a(h) = 25*o(h) - 3*s(h). Give a(c(j)).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135 (base 14) to base 12.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 + 3016*r**2 - 38076*r - 337896.\nAnswer: -4*(r - 741)*(r - 19)*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-168)\/(-140))\/(6\/20).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 335470, 335465, 335460?\nAnswer: 335455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56320 and 520.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7701 + 14503. Calculate the highest common factor of c and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1376+550776\nAnswer: 550775.8624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 18*h = -414. Let g = h - 63. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2)*m*m**(-2\/11)*m*m**(-2\/5)*m**(2\/5) assuming m is positive.\nAnswer: m**(-2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2032, 4776, 8230, 12394?\nAnswer: 17268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25 and 21.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**4\/12 + k**3\/3 + k**2\/2 + k\/3 - 3. Factor r(t).\nAnswer: (t + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -3\/10, 25 in increasing order.\nAnswer: -0.5, -3\/10, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 0*a**3 - 1\/30*a**5 - a**2 + 0*a + 0*a**4 + 1\/60*a**6 + 0. Factor o(i).\nAnswer: 2*i**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67688 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -2. Suppose -85 = -5*z - b*z. Let w = z + -86\/5. What is the biggest value in 3\/4, -2\/13, w?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-6))\/((-8)\/132). Is 15 a factor of 2\/x + (-2958)\/(-66)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156.64 times 0.2?\nAnswer: -31.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 0*h**2 + 4*h + 2*h**2)*(1 + h - 1)*(-2 + 1 + 0 + (0 - 3 + 4)*(-2 + 3 + 0) - 2 - 2 + 3 + (2 + 3 - 3)*(1 - 2 + 0) - 188 - 68 + 16).\nAnswer: -486*h**3 + 243*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + -30. Suppose -9 = g*y - 5*y. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 + -14. Let l = d - 13. Suppose 51 = 3*c + 3*w, l*w - 6 = 9. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 109620.56 to the nearest 100.\nAnswer: 109600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, i: 5, x: 3, a: 1, h: 5, u: 2}. Give prob of picking 1 u and 1 h.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012651491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2. Let h(a) = 6*a - a - 7*a + 37*a. Determine h(t(w)).\nAnswer: 35*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.066 * -1765.573.\nAnswer: -116.527818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 plus 0.5956042467?\nAnswer: -13.4043957533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + d**2 + 4 + (5*d - 4*d + d)*(-5*d + 2*d + d) + d**2 + 2*d**2 - 4*d**2)*(-20 + 0 - 5).\nAnswer: 100*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11, 15, 9, -13, -57, -129, -235, -381?\n\"Answer: -i**3 + i**2 + 8*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2 + 4*-2*sqrt(1872))**2.\nAnswer: -192*sqrt(13) + 119809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/2 of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 13 = -2*g. Suppose 0 = -g*k + 19 + 6. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 5*s**4\/6 - 37*s. Let w(p) = 4*p. Calculate w(d(k)).\nAnswer: 40*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.68 - 4?\nAnswer: 19.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i**2 + 2. Let u(c) = -24*c**2 + 661*c + 8. Let r(g) = 4*b(g) - u(g). Find the second derivative of r(y) wrt y.\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2\/47, -5, 4?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 182253?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -345 + 791080*o - 74 - 1582196*o + 791087*o. What is h(-15)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b**2. Let q(c) be the third derivative of c**5\/10 - 2*c**2. Calculate m(q(y)).\nAnswer: -180*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -34271 and 1786629?\nAnswer: 1820900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 16*r**2 - 9*r - 1. Suppose z - 5*k + 7 + 1 = 0, -2*k + 41 = 5*z. Suppose z = -d + 13. Is m(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 24 = 0, -40 = -23*w + 22*w - 5*l. Solve -96 = -12*m - w*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, t: 5, p: 3, o: 2}. Give prob of sequence too.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4640.185 centuries in years?\nAnswer: 464018.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**2 - 2*k + 12. Let a(s) = 5*s**2 + 5*s - 23. Let b(u) = -2*a(u) - 5*j(u). Let t(d) = 2*d. Determine t(b(m)).\nAnswer: 10*m**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 + 2?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1257 is divided by 89?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**2\/7 + 358454*v - 2509176\/7 = 0.\nAnswer: 1, 1254588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 579908213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 46?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45853332?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a2770 - 26?\nAnswer: a2748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - -13. Let d = i + -21. Suppose 2*y - 5*f - 198 = 0, -d*y - 3*f + 166 = -0*f. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 465 (b) -380 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2201 (base 7) to base 11.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 74, 3 in ascending order.\nAnswer: -10, 3, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 236, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3245 divided by 2?\nAnswer: -3245\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.92249 - 0.07751. Which is the smallest value? (a) -1.6 (b) 0.16 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14385 divided by -7.\nAnswer: -2055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 275104?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9\/2 (b) -0.2 (c) -72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -138819, -138808, -138797?\n\"Answer: 11*c - 138830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (582\/(-44) + (-2205)\/8085)*(0 + (-4)\/(-3)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -110 - -131. Let z be 12\/42 - 6\/q. Suppose a - u - 4*u + 3 = z, -4 = -4*a + 4*u. Solve -4*g + 16 = 0, 2*g = -j - a*j + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/20*(472680\/988)\/(-101)?\nAnswer: 18\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 709249 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (107\/(-3) + 8\/(-6))*(20 - 21)*1?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1057 - 1046. What is the closest to 2 in -2\/5, -1\/6, x, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1522679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 4 + 4)*(5 - 3 - 4) - 3 - 4 + 0)*(-5 + 2 + 0)*(-4*a + 6*a + 2*a).\nAnswer: 36*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*s = 115*s + 36 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + sqrt(1573) + sqrt(1573)*3)*5.\nAnswer: -440*sqrt(13) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 4, -6, -1.89, 0.035, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -154 - -141. Let d = 15 + p. What is the second derivative of -109 + 212 - 16*g**d + g - 109 wrt g?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 3408?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -27. Which is the third biggest value? (a) 0.1 (b) s (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 4:36 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1423*w - 1414*w + w**4 - 7 - 3*w**4 to the form c*w**3 + o*w**4 + p*w + j + d*w**2 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 u when two letters picked without replacement from {o: 4, y: 1, g: 1, u: 2, b: 2, t: 4}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 - -125?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 4:15 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-6)*y*y**(1\/2) assuming y is positive.\nAnswer: y**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1313 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*19\/1*63\/(-9). Let p = 51 + n. Suppose -p = -57*o + 56*o. What are the prime factors of o?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 7*u - 74. Let j be (-129)\/(u\/(14\/(-3))). Suppose 0 = -7*d + j + 12. What is the smallest common multiple of 3 and d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3111 + -642. Let d be (-49218)\/(-20) - 3\/2. Let i = j - d. Calculate the common denominator of -6\/11 and i.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**8\/5040 + z**7\/1680 - 17*z**5\/30 - 31*z**2. Let j(a) be the third derivative of q(a). Does 30 divide j(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -8, 4, 16, 28?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 53, 0, -2, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.036 times 0.02?\nAnswer: 0.00072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (((-9531)\/6)\/(-9))\/(1\/2).\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -246 - -423. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - n**2)*(-21 + 4 - 5).\nAnswer: 22*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0109 - -0.0001. Round j to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/11 or 621?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - (-20 + 89 + -22 + -2)) + (134 - 0)?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/3? (a) -0.1 (b) -14 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7670 divided by -35\nAnswer: -1534\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 160141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 3) to base 14.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**5\/17 + 540*o**4\/17 + 2132*o**3\/17 + 1056*o**2\/17 - 2134*o\/17 - 1596\/17 = 0?\nAnswer: -266, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 74160 and 1718040?\nAnswer: 10308240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 81*g**2 + 33*g - 57. Let j be o(2). What is the second derivative of -52*m + 162*m - 64*m + 3 + j*m**3 wrt m?\nAnswer: 1998*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 980 or -126389?\nAnswer: -126389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 3*p**2 + 3*p + 4. Let l = 15 - 11. Let j(q) = -q**2 + 13*q + 3. Let i be j(13). Suppose -a - 4*a = l*o + i, -a = -3*o + 12. Calculate f(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 3*w + 4. Let a be u(4). Let y = -79 - -81. Let d(z) = z**3 + 3*z**2 - 14*z - 4. Let b be d(3). Sort y, 1, a, b.\nAnswer: a, 1, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200489 and 9734?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = g - 5*d, -3*g = -4*d + 111 - 113 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -19*b**3 + b**2 + 114*b + 2. Let s(w) = -12*w**3 + w**2 + 76*w + 1. Give 5*h(l) - 8*s(l).\nAnswer: l**3 - 3*l**2 - 38*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0 (c) 0.1 (d) 3 (e) -1\/657\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (12\/16)\/(6\/(-20))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 374 and 110?\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-5)\/((b**5\/b)\/b*b)*b**(-1)\/b*b*b*b\/(b\/(b**(-1\/2)\/b)) assuming b is positive.\nAnswer: b**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*p + 6. Let r be 27\/(-2)*p\/(-12). Let v = r - 6. Which is the closest to -0.1? (a) 1\/3 (b) 0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1040, -2587, -8610, -17011, -27772?\nAnswer: -40875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 695*r - 694*r + 23, 0 = -b - 5*r + 11 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5 = 4*r, 0 = -r - r + 4*g + 10. Let f(s) = s**2 + 12*s + 44. Let b = 12 + -3. Calculate the remainder when b is divided by f(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7\/3*l + 2\/3 + 7\/3*l**2 + 2\/3*l**3 = 0. What is l?\nAnswer: -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - (sqrt(95) + 2*sqrt(95))*2 - sqrt(95)*1*2)*1)\/((-1*1*sqrt(25))\/(sqrt(15)\/(sqrt(6)\/sqrt(2)))).\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5960, 6000, 6058, 6134?\nAnswer: 6228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + 0. Let g be (38\/(-532))\/(12\/(-8)*8\/42). Sort g, -1, r in descending order.\nAnswer: g, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 + 7705*i - 21478137. Calculate t(1875).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 2 + 0*w + 1\/2*w**2. What are the prime factors of p(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**3 - 52*d**2 + 4*d - 5. Let v = 15905 - 15900. Let b(f) = 5*f**3 + 78*f**2 - 6*f + 8. Determine v*b(l) + 8*a(l).\nAnswer: l**3 - 26*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35739 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + 87. Let j = -28132.64721 - -28015.646. Let w = j + h. What is w rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 146*d**2 + 140*d**2 - 285*d**2 + 4*d in the form x*d + z + f*d**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 x when three letters picked without replacement from xxyxxyxxymxybb?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -94*j - 283. Calculate r(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44660420.\nAnswer: 2, 5, 7, 71, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -188 in increasing order.\nAnswer: -188, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**4\/6 + 4*r**3\/15 - r**2\/5 + 365*r. Let l(c) = 0. What is c?\nAnswer: -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 t when four letters picked without replacement from eqtqqqqeqqeqeeqqe.\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.73 + 0.6. Let x = 0.37 - f. What is the closest to -2\/7 in x, -5, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2292016.5us to hours.\nAnswer: 0.00063667125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2 - 3*a - 3. Let h = 589 + -587. Let w(k) = -3*k - 7*k + 1 - k + 10*k + h*k. Give -q(y) - 5*w(y).\nAnswer: 2*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**3 - 20*w**2 - 55*w + 150 = 0. Calculate w.\nAnswer: -3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1664, -1643, -1620, -1595, -1568, -1539, -1508?\nAnswer: -1475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.250733 rounded to two decimal places?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*s - 11 - 14 = -25*s + 7*c - 5, 6*c + 55 = -5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4119000 to the nearest 100000.\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 1. Let t(s) be the second derivative of -7*s**4\/12 + s**3\/3 - 3*s**2 - 2*s + 22. Give 6*a(q) + t(q).\nAnswer: -q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3369685925.\nAnswer: 5, 134787437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/((-4)\/(-108)*-3). Let m = z - 25. Solve 0 = m*i + 3*l - 8 - 0, 0 = 2*i - l + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002881588298 rounded to six dps?\nAnswer: -0.002882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((7 - 20) + 7 - 6) + 2 + -1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 898210*f*h**3*l**4 - 2*f*h*l**4 - f - 42*h**3*l**2 + 8700*h*l**2 wrt l?\nAnswer: 21557040*f*h**3*l - 48*f*h*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*a**2 + 0 - 29*a**2 - 21*a**2 - 1 in the form w*a**2 + d + n*a and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*5\/(-10)*(-16)\/(-44). Sort -1\/9, 0, 0.5, u in decreasing order.\nAnswer: 0.5, 0, -1\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -53, -89, -125, -161?\n\"Answer: -36*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 20. Let q be 2\/6 - (-1)\/(-3). Let d be r(q). Let p be (-2)\/8 - (-185)\/d. Calculate the highest common factor of 27 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1. Suppose o = 2*r - 4 - 0. Let f be -18*((-4)\/(-6))\/(-2). Solve r*s - f = 5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*h**3 - 21*h**3 + 38*h**3 + 3*h + 0*h**4 - 2*h**4 in the form g*h + w*h**2 + m*h**4 + s*h**3 + r and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by -109945.\nAnswer: 5\/21989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 529*x**2. Let z(o) = -177*o**2. Determine 4*f(l) + 14*z(l).\nAnswer: -362*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*c - 103*c - 92*c. Let n = -20 + 38. Suppose q - n = -0*q. Solve -4*x = 4*l, c*x + 5*x - l = q for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 8074.4556649.\nAnswer: 8069.4556649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/455 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4142 - -4141.9. What is the third biggest value in -48\/871, 0.4, h, 2?\nAnswer: -48\/871","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 0.5, 14 in increasing order.\nAnswer: 0, 0.5, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y**0\/y))**41)**(-38))**36 assuming y is positive.\nAnswer: y**(-56088)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 + 68. Let z(c) = c**2 + 9*c + 9. Let p = -21 + 12. Calculate the remainder when l is divided by z(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, h: 1, n: 1, a: 2, m: 3}. What is prob of picking 1 a, 1 n, and 1 m?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g - 51. Let d(k) = 21*k**2 - 14*k**2 - 11*k**2 + 2*k**2. Give d(o(y)).\nAnswer: -18*y**2 - 612*y - 5202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32852118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11405048231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/9)\/(136\/102).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (277 - 292)\/(4\/(-22) - ((-145)\/(-110) + -3))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 6:17 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((560\/24)\/(-14)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -304978*m*o + m - 5*o - 6002 with respect to m.\nAnswer: -304978*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16240393 a multiple of 222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96798.9 - -0.51.\nAnswer: 96799.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/84*(-3)\/10)\/(((-192)\/(-90))\/(-8)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10154.9 rounded to the nearest 10?\nAnswer: 10150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y**2 - 723*y + 981. Give o(0).\nAnswer: 981","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -4*n**2 + 8*n + 96 = 0?\nAnswer: -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - f - 19*f + 34*f - f**2 - 3*f + 21.\nAnswer: -f**2 + 11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 12:11 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 7870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3389*o - 10167. Give g(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -441, -801, -1161?\n\"Answer: -360*p - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3174 times -19\nAnswer: 60306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 39 = 2. Calculate the remainder when v is divided by (16 - (-8 - -4))*(-2)\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -207430688?\nAnswer: 1037153440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*z**3 - 52*z**3 + 27*z**3.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 + 0*a**2 + 2*a**2)*(-a - 5*a + 4*a)*(-44*a - 77*a - 19*a)*(2 + 2 + 0).\nAnswer: 4480*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -236 and -0.5?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 22*q - 4*r + 5*r - 6*r, 5*q - 35 = -4*r for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5042968 divided by 1260742\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 1. Let m be r(-3). Let i(j) = 4*j - j + m*j + 2. Let g be i(4). Calculate the greatest common factor of 20 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53435 + -53432.6241. What is a rounded to one dp?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4132261 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70027 + 11627 = -40*n. Is n a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**2 - 4*y - 8 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 25*x - 44. Let h be n(23). Let l be h\/(-4)*1 - (-10)\/(-4). Let a(c) = c**2 + 2*c - 2. Calculate a(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12032\/((-240)\/(-15)) - (-4 + 1)?\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -26. Solve 3*l + v - 11 = 0, s*l + l = 4*v + 24 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27\/45 - (-238)\/(-105))*(-2)\/40\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 0 + 84)*(-3750)\/3125. Sort -5, w, 3, 1 in descending order.\nAnswer: 3, 1, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*g**2)*(2 - 2*g**2 + 6 - 5).\nAnswer: -6*g**4 + 9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 44\/(-8) - (9\/2 - 6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 9:50 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5\/5 + 17*q**4\/5 + 16*q**3\/5.\nAnswer: q**3*(q + 1)*(q + 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(6\/(-15) - 162\/(-30))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 2 = -4*t. Let b(j) = -3 - 6 - 2*j + 1. Calculate the lowest common multiple of b(t) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 u when four letters picked without replacement from {u: 7, p: 5, f: 8}?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.22 - 86.78. Let s = l + 86.1. Put 3, s, -1\/3 in decreasing order.\nAnswer: 3, -1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 420 and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = 12*i - 5*x - 2302, -3*i - 3*x = -3474. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 441, 458, 489, 534, 593, 666, 753?\nAnswer: 854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**5\/2 - 2501*l**4\/2 - 2503*l**3 = 0.\nAnswer: -2, 0, 2503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*n - 385*i + 112 = -388*i, -n = 4*i + 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6798 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*t**3 + 59*t**3 - 172*t**3.\nAnswer: -38*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 336 and 8988.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w + 10 = u + 16*w, 20 = 5*w. What is the least common multiple of u and 416?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0578 times -0.06\nAnswer: 0.003468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 0*x + 2*x + 25*x.\nAnswer: 26*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 1035*m**2 - 58*m - 5. Suppose -7*z + 124 - 19 = 0. Let d be v(z). What is d rounded to the nearest ten thousand?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/21819 and -15\/552748.\nAnswer: 1658244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 5 (c) -1\/2 (d) -4 (e) -20083\/3 (f) 4 (g) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-76)*-3 + 2.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**4 - 2*o**4 + 4*o**4 + (2*o - o - 2*o)*(3*o**3 + 2*o**3 - 3*o**3) - o**4 + o**4 - o**4 - 4*o + 4*o - o**4 - 4*o**4 - 7*o**2 + 7*o**2.\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -3)\/((-8)\/28). Suppose 5*q - 371 = -4*s, -4 = -2*q + 2. What is the remainder when s is divided by (20\/6)\/(g\/(-63))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, 4\/3, -1, -2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 + 105 = 8*u. Let a(c) = c**3 - 3*c**2 - 5*c - 3. Calculate a(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -178*o**2 + 8. Let f = -7 - -14. Let d(r) = -r**3 + 8*r**2 - 5*r - 8. Let b be d(f). Let v be i(b). What is v rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 - 48*p + 477. What is i(-35)?\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -45, -195, -505, -1029, -1821, -2935?\nAnswer: -4425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 11*t**2. Let v(j) = 248*j - 18. Calculate v(b(y)).\nAnswer: 2728*y**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - ((15 + -9 - 28) + -5).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i + 8*i - 3*i)*(-6 + 4 + 52)*(10 - 3 - 1 + (0 - 2 + 3)*(0 + 0 + 1)).\nAnswer: 3500*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 98\/1975?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -79*h + 24*h - 75 - 24*h - 3 - 38 wrt h.\nAnswer: -79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s - 751 + 10147 = 0. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*m - 0*y - 100, -5*m + y + 205 = 0. Suppose 0 = -q + 2*u + m, -1 + 10 = 3*u. Let n = -46 + q. Solve 5*d + 32 = 4*o, n*o + d + 13 = 3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r**3 - 43*r**2 + 6*r - 33. Calculate the smallest common multiple of x(-9) and 7.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.5 + 0.3. Let c = 0.55 + -67.55. Let u = c - -69. What is the nearest to -3\/2 in 4, a, u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-4))\/(40355\/265190).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n - 3*n - 4*n + 12*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 292770\/16 + 5*13\/(-520)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 283 - 281. What is the nearest to -0.1 in -0.2, 1\/4, -14, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 30?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 0.6, 2\/9, -5.\nAnswer: -5, -0.05, 2\/9, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j**3 + 7*j**3 - 15*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1234 + -3769\/3. Find the common denominator of ((-47)\/(-3))\/(15\/(-9)) and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/528 and -83\/1188.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c - 7. Calculate the remainder when 33 is divided by k(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (150\/8)\/(171\/152). Factor -8\/3*i - 32\/3*i**2 - 10\/3*i**3 + u*i**4 + 0.\nAnswer: 2*i*(i - 1)*(5*i + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*p - 67 + 139 - 70.\nAnswer: -19*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7}. Give prob of picking 2 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3834 + 3793. Let g = 42.136 - 0.686. Let l = k + g. Round l to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3526?\nAnswer: 2, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -709 + 11361\/16. Find the common denominator of a and -79\/228.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 5:19 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -0.3. What is the nearest to 2\/7 in -2\/11, -3, o?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*k + 627. Is (-2)\/9 + k\/27 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -252060 or -253865?\nAnswer: -253865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p + 10. Let y be s(3). Let u be 1426\/1116 - 2\/(-9). Which is the second smallest value? (a) 11 (b) y (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*h - 31*h + 64. Solve c = -0*c - 4, h*u = 2*c for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32\/6 - 124\/93. Suppose 0*k + 33 = 3*k. Let w = 14 - k. Solve -x*t + 7*t - w = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 4*s = -b + 8, 33 = 5*s - 4*b. Suppose 4*v - 274 = -s*m, 265 = 5*m + v - 6*v. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 2*b - 14, -3*b + 23 = 4*l + l. Solve 0 = 2*p - 5*k + 5 + 3, 5*k = p + l for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2411*h**2 + 1363*h**3 - 1202*h**2 + 1539*h**3 - 1209*h**2.\nAnswer: 2902*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15306 and 76966221?\nAnswer: 153932442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x**2 - 174*x + 164. Give m(-30).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 125 - (1 + 1 + -9) - (-35 + 48)\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12487933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -6*i + 4. Let y be d(-4). Let b = 9 + -6. Suppose b*s = -4*h + 31, 0*h = -h + 3*s + 4. Calculate the highest common divisor of h and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/2)\/(((-35)\/(-70))\/((171\/(-45))\/19))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.90498 millilitres in litres?\nAnswer: 0.08590498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -28 + (0 - -8) + (-6 - (12 - (41 - 21)))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 27 = -3*y - 0*f, -2*f - 17 = -3*y. Calculate the remainder when 33 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h = -28*h - 8. Let j be 0*(h - 12\/(-8)). Does 12 divide (-96)\/(2\/(-1)) + j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + (-21)\/(-9))*9. Suppose t = i + 4. Let g = 3.1 - 5.1. Which is the second biggest value? (a) i (b) g (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (186*q - 9*q**2 - 186*q)*(-4 + 1 + 2)*(-16*q - 17 + 37 - 18) to s*q**2 + v*q**3 + d*q + m and give v.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z + 302 = 74. Let j be 2\/10 - (-28)\/10. Is 8 a factor of (-52)\/z*j*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 787838 is divided by 15444.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 2*c + 20, 5*y - 3*c - c - 50 = 0. Suppose y*p = 55 + 17. Solve 5*l = -0*l + f + 28, 4*f = -p for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xax when three letters picked without replacement from xlaipxwxxwwpx?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 231 + 785 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.6 + -6.5. Suppose 6 = -10*g + 7*g. Which is the second biggest value? (a) 0.8 (b) g (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -359*h**2 - 3*h**4 + 194*h**3 - 147*h**3 - 575*h**2 wrt h.\nAnswer: -72*h + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 6*q**2 - 5*q + 7. Let n be s(-5). Suppose -4*f + 4*g = -3*f + n, 3*f - 18 = -g. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353320 rounded to the nearest one thousand?\nAnswer: 353000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9497.\nAnswer: 9497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00054131 to five decimal places.\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 61 = -187. Let r(j) = 11*j + 236. Let t be r(d). Let b(l) = l**3 - 6*l**2 + 5. What is b(t)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.025 - -0.275. Suppose -14*q + 8 + 62 = 0. Which is the nearest to p? (a) -0.1 (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - (-3 + 7)) + 158 + -185?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.5 + 4. Which is the closest to 0.2? (a) -2\/7 (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17038912361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, j: 1, u: 1, r: 4, x: 2}. What is prob of sequence jrr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-7 + (-12 - -28)) + (3 - 474\/39)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 75 + -70. Suppose u + n*o - 178 = 0, 3*o - 477 - 391 = -5*u. List the prime factors of u.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 7*s - 192 = 0. What is the greatest common factor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(-4*c + 4*c - c)*(2 - 2 + c**3)*(3 - 5 + 3) + (2*c - 2*c - 2*c**2)*(0*c + 0*c + 2*c**2).\nAnswer: -5*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -410, -5, -368, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(-4)*o*o))\/o*o)\/o**(2\/3)*((o**(-1)\/o)\/o)**(-2) assuming o is positive.\nAnswer: o**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -110001100?\nAnswer: -110001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2234*j. Let k(l) = l - 18. Determine k(m(p)).\nAnswer: -2234*p - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/12*48\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**3 - 2006*b**2 + 1002*b**2 + 1004*b**2.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 8:45 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107675?\nAnswer: 5, 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.842 minus -1.55?\nAnswer: -13.292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 51*j**4\/4 + j**3 + 11*j**2\/2 + 4*j - 189. Is f(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 8*z**2 - 16*z - 8. Let d be (4 - (8 + 6))\/(1 + 1). Determine q(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 43*g**2 - 711*g + 2842. What is s(10)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 5, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*-0.23.\nAnswer: -0.0115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*g - 5909 = -1137 + 5029 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -29*s + 17. Let i(t) = 5*t - 3. Let r = -23 - -26. Let m(o) = -r*o**2 + 6*o - 2*o**2 - 5*o**2 - 3*o. Let p be m(2). Calculate p*i(u) - 6*c(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s**4 + 117*s**3 - 26*s**2 + 2 wrt s.\nAnswer: -48*s + 702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -1. Let v = 30 + y. Suppose -5*d + 48 = v. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/((-20)\/(-3)))\/(60\/40)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 l, and 1 k when three letters picked without replacement from {n: 2, k: 1, l: 1, o: 3, p: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - d. List the prime factors of s(-6).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 21, 18, 5, -24, -75, -154?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -166.\nAnswer: -166, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-4)*(-5 - (-35)\/5). Let h = 49 + -44. What is the greatest common factor of h and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 3, 5\/4, -3, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 3*p + 138, -16 = -5*p + 4. What is the remainder when 147 is divided by u?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-14654)\/(-170))\/((-6)\/(-2010)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 159 - 160.17. Round z to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0567 less than 0.3?\nAnswer: 0.3567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -622 = 4*u - 26*u - 226 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 603700642 a multiple of 4142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**2\/r)**(9\/7))**48)**(-40))**(-43) assuming r is positive.\nAnswer: r**(743040\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 16*r + 18. Is h(16) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -9*r - 1. Calculate c(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128177?\nAnswer: 7, 18311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 29142 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1345, -1365, -1385, -1405, -1425, -1445?\nAnswer: -1465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 25*z - 6. Let u(a) = 8*a - 2. Give 3*d(n) - 8*u(n).\nAnswer: 11*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-one quarters of a kilometer?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(475) + -1)*-6 - (-1*2*sqrt(475) - sqrt(475))*-1) + -4 + 2)**2.\nAnswer: -5460*sqrt(19) + 210151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 468344, 929895, 1391434, 1852955, 2314452, 2775919, 3237350, 3698739?\n\"Answer: -t**3 + 461558*t + 6787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 216305069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/184 (b) -0.202 (c) 2\/3 (d) 1\/4 (e) -2 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t - 4*t + 4 + 16*t - 8*t. Determine s(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1130465.93 rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 9*k + 2. Let j be t(-8). Let a be 1446\/(-20)*(-5)\/j. Let x = 61 + a. What is the nearest to -1 in x, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 17, u: 3}.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/10 and -19\/195.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 394966 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: Is 146 a factor of 5256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2\/9 + 140*l\/3 + 136.\nAnswer: 4*(l + 3)*(l + 102)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19836.501 - -0.026.\nAnswer: 19836.527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38 - -39) + (-2 - 0) + -11.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -0.2, -2\/5, 4\/7, -87, -68 in descending order.\nAnswer: 18, 4\/7, -0.2, -2\/5, -68, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-12))\/(4\/(-30)). Solve 10 = -f*v + 35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-57.6602\nAnswer: 288.301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-140)\/(-48))\/(16\/(-48))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52930 divided by -2.\nAnswer: 26465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5207 divided by 964\nAnswer: 5207\/964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**2 - 3255*s = 0.\nAnswer: 0, 1085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*-1 + (5 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5352652, -10705296, -16057940, -21410584?\n\"Answer: -5352644*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 8*b**3\/3 - b + 16. What is the units digit of a(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1615648.06 to the nearest 1000.\nAnswer: -1616000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.6 - 0.6. Which is bigger: -7 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10012 + 10023. What is the smallest common multiple of k and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122074.\nAnswer: 2, 67, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and 2154268830.\nAnswer: 2154268830.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 7) to base 12.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 256\/25, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 - -0.2. Let k = 0.7 + g. Put 1\/2, 1\/3, k in descending order.\nAnswer: 1\/2, 1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**13)\/p**(-1)*(p**(-9\/4)\/p*p)\/(p**(-1\/6)*p) assuming p is positive.\nAnswer: p**(-157\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1085 is divided by 74?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.25 + 11.31683437?\nAnswer: -49.93316563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259545 is divided by 17213.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 2 (c) 1.179 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-260)\/45)\/(-1) + 2\/9. Let b(t) = 4*t**2 - 11*t. Let m be b(d). Calculate the greatest common divisor of m and 780.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -15*a + 15. Let o(d) = 16*d - 14. Let u(j) = -6*o(j) - 7*y(j). Let r be u(11). Calculate the greatest common factor of r and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 67526326 and 19733.\nAnswer: 67526326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*o**4 + 144*o**3 + 177*o**2 - 69*o + 6 = 0 for o.\nAnswer: -1, 1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*c - 7 = 0, -13*k + 8*k = -4*c - 17. Solve 5*v = -h + 17 - 9, -k = h - 4*v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p**2. Let c(k) = -21*k**2. Calculate c(b(i)).\nAnswer: -336*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.26717 millennia in years?\nAnswer: 97267.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 174 (base 10) to base 8.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -954355, -1908686, -2863033, -3817402, -4771799, -5726230, -6680701?\nAnswer: -7635218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 34835*u + 1567. Is k(14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -115, -116, -117, -118, -119?\n\"Answer: -k - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10, n: 7, s: 1, l: 1}. What is prob of picking 1 l and 1 s?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43549 is divided by 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1, 1.81?\nAnswer: 1.81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44923964 and 11112.\nAnswer: 269543784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.133 in 0.2, -14, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 278*j**2 - 141*j**2 - 48 - 135*j**2 to x + s*j**2 + y*j and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(11) + -4 - -1*4*sqrt(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u**2 - 596*u - 985. What is the units digit of w(-136)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5282887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/21)*a*a\/(a*((a*a**(-4\/7))\/a)\/a)*a**(2\/17)*a*a\/(a*a*a*a**5*a)*a**(-5)*a**(-2\/3)*(a**(-1))**(2\/113) assuming a is positive.\nAnswer: a**(-19018\/1921)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 251 in descending order.\nAnswer: 251, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18\/40045 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 3*h**2 + 5. Let f(c) = -140*c. Let p(b) = 7*b. Let x(m) = 6*f(m) + 119*p(m). Let z = 1 + -6. What is z*x(n) - 6*r(n)?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 6:15 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3759218, 3759198, 3759178, 3759158, 3759138, 3759118?\n\"Answer: -20*n + 3759238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(99) + 1 + -2 + sqrt(99))*5 + -1 + (sqrt(99) + 1)*4 + sqrt(99) + 0)*-1.\nAnswer: -45*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00052011 to five decimal places.\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 90734 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -215 + 212. Let r = -3.3 - j. Which is the third smallest value? (a) -4\/5 (b) r (c) -3 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 414 + 408 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most -342\/215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 - 102 = -24*v. Solve 7*g - v*g = 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4855 is divided by 671?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 2. Suppose -2443 = -h*f - 667. Let x = -169 + f. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 11*v**5\/10 - v**4\/6 + v**3\/6 + 5*v. Is 13 a factor of n(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -g - 39 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -375 not equal to -6390\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4, -228*m - 5*a + 10885 = -226*m. Is 105 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/91 - 6\/(-39)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.09 (b) -0.4 (c) 184 (d) 0.2 (e) 8\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 7*k. Let r(v) = 43798*v**2. What is b(r(p))?\nAnswer: 306586*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71214.35 centuries to months.\nAnswer: 85457220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0313 + 4.9687. Suppose -5*d - 10 = -0*d. What is the second smallest value in d, c, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/5005 and -61\/651.\nAnswer: 465465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l + 213. Calculate p(35).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4982257 divided by -4.\nAnswer: 4982257\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 - 215137*z - 1721151. What is s(-8)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -137 - -407\/3. Suppose -251 = 100*k - 51. Sort k, 0.002, 0.1, f.\nAnswer: k, f, 0.002, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 - 17*i - 25. Let m be r(7). Let v(z) = -8*z**2 + z**m - 105 + z + 47 + 55 - 3*z. What is v(8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*y - 93*y = -141 - 13. What is the highest common factor of y and 1897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 - -61. Suppose 0 = 5*s + 5*n - 325, 3*n + 67 = q*s - 68. What is the greatest common factor of 33 and s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -66*2*3\/(-12). Let z be -2*q\/(-18) - 3. Suppose 0 - 4*w**3 + 8\/3*w**4 - z*w + 8\/3*w**2 - 2\/3*w**5 = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/13 - 481264*o\/13 - 28951879712\/13.\nAnswer: -2*(o + 120316)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-186)\/(-14) - (-6)\/(-21). Suppose q - l = -3. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 29 = 3*z, -27 + 12 = z - 4*c for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c89a2b (base 13) to base 11.\nAnswer: -2724351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 11*j**2 - 11*j - 10. Suppose -2*r - 17 = 3. Let l be g(r). Let s(c) = 4*c**3 + c - c**2 - 3*c**3 - 2 + l*c**3. Give s(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - 218?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5 + 15*q - 8 - 5 wrt q?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 1\/6*n**2 - 1\/6*n**3 + 1\/12*n**4 - 2 - 4*n - 1\/60*n**5. Let k(x) be the first derivative of i(x). Factor k(c).\nAnswer: -(c - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**2*r**3 + i**2*r - 471*i**2 + 129*i*r**3 - 10*i*r wrt i?\nAnswer: -4*r**3 + 2*r - 942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8398\/(-4) + 12\/(-24). What is j rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 + -11 + (-40 - -18).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00396 to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -4642 equal to -4642?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -34*n - 139. What is k(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 2\/7, 0.007, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7412*x**2 - 379 - 10*x + 17*x + 7644 - 7*x wrt x.\nAnswer: -14824*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 1181*i. Let p(j) = 31*j. Calculate b(p(t)).\nAnswer: 36611*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -254*h - 14904. Determine r(-57).\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 10:11 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.3694 to 2 dps.\nAnswer: -11.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 + 11*l. Let s be x(-5). Let f(t) be the third derivative of t**4\/24 + t**3 - 2*t**2. Give f(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d + 3. Let s be r(2). Let y = 0.6 + -2.6. Let m = 0.02 - -0.48. Which is the nearest to y? (a) m (b) -4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*b + 0*b**3 - 44*b**5 + 6*b**3 - 6*b**3 wrt b?\nAnswer: -880*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 32*p**2 - 3*p + 28. Let o(r) = 31*r**2 - 3*r + 35. What is 5*b(h) - 4*o(h)?\nAnswer: 36*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32443 + 1332?\nAnswer: -31111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and -2.43?\nAnswer: 1.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16135987435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7487, -7502, -7517, -7532?\nAnswer: -7547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*r - 1. Let p(i) = -2 - 10*i + 0*i**2 - i**2 + 1 + 8*i + i**3. Let s be p(-1). Put r, s, 5 in increasing order.\nAnswer: s, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8104 is divided by 145?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1800) + -2)**2.\nAnswer: -60*sqrt(2) + 1801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 861501534 a multiple of 2228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 6:13 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -5*y, 16 = -3*y - 110*j + 108*j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 1, -1.\nAnswer: -37, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 - 4*s**3 - 2 + 3*s**2.\nAnswer: -4*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.8, 5, -1, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 0*z + 0*z + 0*z + 54 - z. Let i be m(0). Let w = 78 - i. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 + 16*u + 73. Calculate the remainder when 95 is divided by t(-6).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 5:24 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - 64. Suppose -3*d = -0*d + 48. Let v = d - h. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 - 45. What is the third biggest value in -3, -5\/2, -1, w?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 205 = -5*m, a - m = 4*a - 139. Suppose 2*l + a = 5*l. Let d = -10 + l. What is the remainder when 12 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 3*f**2 - f. Let x be n(-3). Let p be (-16)\/(-3) + ((-2)\/(-3))\/1. Solve -p*h = -x*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q + 10. Is 7 a factor of m(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*v + 74*v + 80*v + 3601*v**3.\nAnswer: 3601*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 4 = 11*i. Let s be -6*-2*(i + 2). Calculate the remainder when 7 is divided by 5\/(-30) + 38\/s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 9. Let k(a) = -1134*a**2 + 780. Let h(o) = -k(o) - 5*n(o). Find the first derivative of h(q) wrt q.\nAnswer: 2258*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 73000, 73103, 73276, 73519, 73832?\n\"Answer: 35*w**2 - 2*w + 72967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + -4 + 3 + 12. Let x(d) be the first derivative of -3 + 4 - 2 - 3*d**5 - r*d**2 + 2*d**5. What is the second derivative of x(g) wrt g?\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3795078961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v*v*v*v*v**(1\/9))\/v)*v**(-10\/3))\/(v*v**0*v\/(v*v**(-1\/27)\/v)) assuming v is positive.\nAnswer: v**(-229\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 6*r + 5*p - 24 = 0, 5*r + 4*p = 27. Suppose 957 = r*q - 3*u, 22*u + 961 = 3*q + 20*u. What are the prime factors of q?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 + 54. Let x = f + -23.2. Let s = 4 + x. Is s bigger than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 20*j - 17*j + 2*j**2. Let n(m) = m. What is -n(u) + r(u)?\nAnswer: u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**5 + 0*l**5 - l**5 + (-2*l - 4*l + 4*l)*(-l**2 + 4*l**4 + l**2).\nAnswer: -10*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((4 + 0)\/(-4))\/(-15). Let d = 0.6 - 1.6. Is z greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v**(-23)*v))\/(v**(-18)\/v) assuming v is positive.\nAnswer: v**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**4 + 664*o**3 - 90*o**2 - 2091394*o wrt o.\nAnswer: 24*o**2 + 3984*o - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -266. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 42 - 8 - -2.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 7\/20*c**5 + 4*c + 0*c**3 - c**2 + 0*c**4 + 0. What is the first derivative of z(s) wrt s?\nAnswer: 21*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 9*d - 18*d**2 + 7*d**2 + 7*d**2 + 14*d**2 - 6. What are the prime factors of b(3)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**2 + 4*i - 3. Does 13 divide o(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 5*p - 2*i, -9 = -24*p + 5*i - 95 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2910)\/(-33) + (-217)\/((-226765)\/(-190)).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 0.013 in increasing order.\nAnswer: -2, 0.013, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**5 + 8*n**4 + 36*n**3 - 88*n**2 - 16*n + 96.\nAnswer: -4*(n - 2)**3*(n + 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 + 24 + -11 + 27.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*k = 87 + 138, 4*k = -4. Let l = 217 - w. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1569, -3, 2 in descending order.\nAnswer: 2, -3, -1569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaallalaaa. What is prob of picking 2 l?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100490\/(-18552))\/(30\/(-18)).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 817 + -788. Find the second derivative of 16*i + 268*i + b*i**4 + 28*i**4 + 23*i**4 + 97*i**4 wrt i.\nAnswer: 2124*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1430\/(-33))\/((-2)\/12) a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-123)\/(-27))\/((13\/468)\/((8\/1)\/32))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9841 and 9750?\nAnswer: 7380750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -166, -232, -316, -418?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*d + 544 = 43*d for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s**4 - 3*s**4 - 3*s**4 - s**3 - 2*s**2 + 2 in the form c + v*s**2 + o*s**3 + y*s**4 + d*s and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -289 + 168. Let p = -120.8 - o. What is the fourth smallest value in 0, p, -0.08, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-10))\/((-2)\/5). Let k = 14 - 13.11. Let t = -0.11 - k. What is the nearest to t in -3\/2, l, -2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397866 = -8658*f + 21315*f + 1334484 for f.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from lyrllrrlryyll.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p*p\/(p**(-14)*p)*p*p*p**(-4\/11) assuming p is positive.\nAnswer: p**(205\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-21)*(-21)\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 7*m - 7. Let k be v(7). Find the common denominator of (-2)\/k - 1870\/175 and -30\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -265, -1133, -2525, -4381, -6641, -9245, -12133?\nAnswer: -15245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -367 - -1843\/5. Calculate the common denominator of (-124)\/20 + 3 + -4 + -4 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-o + 3 - 3)*(4 - 8 - 27) - 46*o + 0 + 9 + 44*o)*(o**3 - 2*o**3 - o**3).\nAnswer: -58*o**4 - 18*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**12)**(1\/6)\/((q*q*q**(2\/115)*q)\/(q*q*q\/(q\/(q*q*q*q\/(q*q*q**(-31))*q)*q))))**(-20) assuming q is positive.\nAnswer: q**(-15632\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4*x - 304, -3*x + 2*x + 66 = -4*q. Let o = -288 - x. Let f be o\/(-6) + 2\/(-6). Calculate the greatest common factor of 150 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -25*w - 99 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 81659.94373 to the nearest 10.\nAnswer: 81660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 185*u**4\/24 + 7*u**3\/3 - 6*u**2 - 1. What are the prime factors of h(1)?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -423143204444?\nAnswer: 423143204444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**5 - 293*v**4 - 45*v**3 + 13225*v**2 - 11636*v - 24612 = 0.\nAnswer: -7, -1, 2, 6, 293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.26, -2.1, 236.\nAnswer: -2.1, -0.26, 4, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.1424, -11\/4.\nAnswer: -11\/4, -0.1424, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -113, -261, -479, -773, -1149, -1613, -2171?\nAnswer: -2829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005830011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2)*(3 + -16 - -3). Let k be (15\/7)\/j + (-158)\/(-7). What is the greatest common factor of 184 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-168)\/44)\/1 - (28 + 10098\/(-363))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*t - 110*t + 235*t + 180 = 0 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 14*m - 5. Let d be w(17). Suppose 4*f - d = -54. Let h be 5 - (1 - f) - (-4 + 14). Are -9 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/((-8)\/(-3)))\/(48\/(-128)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1\/7, -0.2, 5, 0.01, -2.3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 9, -5, 5, -17 in descending order.\nAnswer: 9, 5, -2, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 113*j - 6. Let y(v) = v - 1. Determine h(q) - 6*y(q).\nAnswer: 107*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -1, 5443, -41, -7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y + 1481*y**3 - 7*y + 3*y + 6*y + (-y**2 + y - y)*(-y + 2*y + 0*y).\nAnswer: 1480*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 4. Suppose 1 + d = -h. Let w(o) be the third derivative of 5*o**4\/24 - o**2. Determine w(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 32 + 0 = 0. Let x(w) = -w**3 + 8*w**2 + 5. Is x(a) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*i = -5*d + 8958, 0 = -4*d + 3*i + 7164. Does 69 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -708 or 455?\nAnswer: 455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 115\/78 - -1\/39. Determine a so that p*a**2 + 3\/2*a + 1\/2*a**3 + 1\/2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87906004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316 = 59*p - 233*p + 2468. Calculate the smallest common multiple of 1722 and p.\nAnswer: 13776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 14*b + 8. Suppose -34 = 4*g - 102. Calculate the remainder when i(-17) is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 9) to base 14.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 8*c - 18*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -1712, -13, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 978726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 8:44 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -3 + 432 + -371?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 437293211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7016605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = d - 4700, -5*v + 18848 = 4*d - 9*v. Suppose 5*l - 7848 = -2*i, 2*l - 3*i + d = 5*l. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvv. Give prob of sequence vt.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 3336548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-235)\/47)\/((-10)\/(-116)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/6)\/(1\/(-3)). Let n(u) = 5*u - 1. Let b be n(d). Calculate the highest common factor of b and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 9:34 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-18)\/(-27))\/((-50)\/30). Let f(y) = -y**3 + 5*y**2 - 5*y + 5. Let x be f(4). What is the nearest to x in -1\/7, -2\/3, u?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**5\/5 + 333*a**4\/5 + 7021*a**3 + 1154063*a**2\/5 + 3221418*a\/5 + 2102128\/5 = 0.\nAnswer: -137, -56, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(-84) + (-6)\/(-63).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1342 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -234, -413, -694, -1077, -1562?\n\"Answer: -51*p**2 - 26*p - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6) + (-5)\/(-15). Suppose 0 = -4*y + 1 + 7. Suppose q + 0 = 2*a - r, -3*q + 9 = -y*a. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2331?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rynnjjjjnbjyjj. Give prob of sequence ynr.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11454500*l**5 - 21*l**4 - 22624980*l**2 - 19.\nAnswer: 687270000*l**2 - 504*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 308\/98067 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 94 - -83. Let m(b) = 2*b**3 - 9*b**2 - 8*b + 32. Let x be m(6). Suppose 3 + x = s + 5*l, 0 = 2*s - 3*l - y. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(2\/2 - 0). Let q = 1422.09 - 1422. Which is the closest to s? (a) q (b) 3\/7 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 2*w - 2. Let m = 27 + -29. Let d be 6\/(-15)*1 - m\/5. Sort d, w, 3 in ascending order.\nAnswer: d, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 9*p = 459. Let t(l) = -2*l**3 + 5*l**2 + 7*l - 2. Calculate the remainder when p is divided by t(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7747334?\nAnswer: 2, 7, 31, 17851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6373575499?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2274 a factor of 5707740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.881 + 0.119. Let i = -1 + 0.9. Let q = i - -0.2. Which is the closest to 1\/2? (a) k (b) 1\/2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**8\/3360 - n**7\/336 + n**6\/360 + n**5\/30 - 22*n**3 - 117*n**2. Let q(o) be the first derivative of w(o). Factor q(v).\nAnswer: v*(v - 4)*(v - 2)*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-708)\/(-70) + 5 + -4. Let o = u + -57\/5. Let x(s) = -s + 4. Let p be x(3). What is the nearest to o in p, -0.06, -5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -719 = -3*i + 586. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/1890 and -59\/378?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2699614?\nAnswer: 2, 1349807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 2*j**2 + j. Let w(d) = -9*d**3 - 42*d**2 - 321*d - 600. Let c(x) = -6*i(x) - w(x). Determine k so that c(k) = 0.\nAnswer: -8, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 14*b = -13 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1126418771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p. Suppose 0 = s + 3*b + 23, 9*b = -2*s + 14*b - 57. Let d(w) = -2*w. What is s*d(c) + 6*h(c)?\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-278)*(8\/22)\/(200*22\/9680).\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 14, -124424.\nAnswer: -124424, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10 - 0 - (15 + -15)) + -10. Solve 32\/7*b**2 + 24\/7*b + 2\/7*b**4 + 2*b**3 + y = 0 for b.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-10)*6\/(-4). Let m = -37 - -372. Let y = -334.7 + m. Which is the third smallest value? (a) -0.2 (b) x (c) 5 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 187, -55, -4 in decreasing order.\nAnswer: 187, 5, -4, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 27 + 6 = 0. Let i = 374 + -377. Put -5, -4, t, i in descending order.\nAnswer: t, i, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = b. Let f = b - -16. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -620 - -614.18. Let y = m + -2.38. What is y rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b6aa (base 13) in base 10?\nAnswer: 168126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + (30\/(-12))\/(20\/16). Solve j = -k*b - 4, -b = -j - j + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1564067 is divided by 31278.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/414864 and -83\/518580?\nAnswer: 2074320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-3 - -3)) + -2 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 157683330 a multiple of 866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 678\/7 - 97. Let g = 1102308 - 56204093\/51. Let r = g - 267. Put k, r, 0.1 in decreasing order.\nAnswer: 0.1, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 436*h**5 + 2*h**2 - 94 wrt h.\nAnswer: 26160*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6*m + 50 = 0. Factor -2*y**4 - m*y**3 - 4*y**2 + 3*y**4 - 7*y**4.\nAnswer: -2*y**2*(y + 1)*(3*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2251003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 12975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 24 = 2*y. Let x = y - -14. Solve x = -v + 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 118 and 5959?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 e when four letters picked without replacement from neenneeeeneeeeeeene.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 27.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24\/40)\/((-2)\/10). What are the prime factors of 42 + (-2 - (-5 - p))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + z = -2*h + 540, 675 = 5*h - 5*z. Suppose 13*i + h = 16*i. Solve s - 4 = 2*s, -i = -5*d + 5*s for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 103 - 145\/24*u**4 + 0*u**3 + 0*u + 43\/15*u**5 + 2*u**2. Find the second derivative of n(g) wrt g.\nAnswer: 344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - o - 6 = 0, -3*o + 7 = 12 + 13 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 332349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 849955739 to the nearest integer?\nAnswer: 29154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 38\nAnswer: -15.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1496)\/24 + (-1)\/(-3). Let k = m - -61. Let l = 65 - k. What are the prime factors of l?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*g + g. Let x be -2 + (2 - (-4 + 3)). What is the closest to x in 0.3, g, 1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 1. Let c(u) = -8*u + 22. Let m(t) = -c(t) + 5*i(t). What is the units digit of m(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 18. Let l = 2939 - 108755\/37. Is j != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1017*v - 2044*v + 116325 + 56375 = 7406 for v.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -7, 7, 27?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1535457 to the nearest integer?\nAnswer: 1239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 384?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 103 + -39. Suppose b - 8 = -3*m + 6*m, 0 = 3*b + m - y. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70 - -74. Suppose 3*u + 18 = m + m, -m + w*u = -19. Solve 2*h + 10 = 3*o - 5*o, -m*h = -4*o + 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**3*m + 13503*f**3 + f**2*m + 2837*f**2 + 2*f*m - 2*f - 4514783*m + 5 wrt f.\nAnswer: 6*f*m + 81018*f + 2*m + 5674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -306, 908, 2932, 5766, 9410, 13864?\n\"Answer: 405*d**2 - d - 710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-5522)\/(-4))\/((-37)\/(-74))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -416 and -39.9.\nAnswer: 16598.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 2*f + 13, -15*p + 14*p = -f - 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 1. Suppose -3*l - h = -4. Is 573\/6 - l\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011 (base 2) in base 4?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59 - -89. Let c be 12\/27*11035\/x*-3. Let v = c - -491. What is the common denominator of 55\/9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 13*z - 12*z - 36, -4*b + 128 = 3*z. Calculate the greatest common divisor of 540 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -154869792 and -0.003.\nAnswer: -154869792.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 + 6*j**2 - 10*j**2.\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w + 4*w**2 + w - 3 - 4*w**3 + 12*w**3 - 7*w**3. Calculate f(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43205 - 86660 + 43455 - 2*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22312002 + -11?\nAnswer: 22311441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -767357 and -5.\nAnswer: -767362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 5*r + 160, -4*r + 8*r = a - 158. Suppose 4*x - 483 = 105. Let c = 177 - x. Calculate the greatest common divisor of a and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 589988530.\nAnswer: 2, 5, 58998853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 64*x - 196*x + 1056. Suppose -6*q + 4*q = -364. Let m be 0\/1 - 7\/(q\/x). Is 1 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-4))\/(s**(-2\/5)\/s))**(1\/6) assuming s is positive.\nAnswer: s**(16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7536167?\nAnswer: 7536167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -454*m**3 - 9*m**2 - 5*m + 114. Let g be d(-11). Suppose 22*u = 25*u - 5*y - 362008, y = 5*u - g. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + l**2 - 48*l + 172. What is the remainder when 663 is divided by b(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 725 (b) 22.3 (c) -2\/3 (d) 0.5 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -14*i + 10*i. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/6)\/(90\/(-108)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 154409?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 439880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + z = -4*a, 4*z = 737*a - 738*a - 10*z - 54 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -27*v + 57, 2*o = -4*v - 19 + 21 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*s = 44, 5*g - 3*s + 51 = 3*g. Let p = g - -34. Let b = -6 + p. Calculate the highest common factor of b and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**4\/9 - 178*u**3\/9 + 926*u**2\/9 - 1310*u\/9 + 188\/3 = 0 for u.\nAnswer: -94, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*b*c**2 - 1569*b*c - 2934754*b + 2*c**2 wrt c.\nAnswer: 52*b*c - 1569*b + 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -49, -90, -129, -166, -201?\n\"Answer: q**2 - 44*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -11*j + 309. Let c(q) = 6*q - 155. Give -7*c(r) - 4*d(r).\nAnswer: 2*r - 151","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -30\/413?\nAnswer: -30\/413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.02 (b) 0.4 (c) -4\/7 (d) 0.5 (e) -5 (f) 52 (g) 2\/161\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -47. What is the common denominator of ((-445)\/f)\/(6\/3) and 23\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + s**2 + 2 - s**2 - s. Let u be n(-2). Suppose 5*y - y = u. Solve y*q - 2 = -2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -11. Let z be w*3*4\/6. Suppose -63 = -29*m - 45 + 69. Solve -5*r + 11 = 2*a, 3*a - 2 = m*r + z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 16929559*s + 0 + 16929559*s - 27028*s**2.\nAnswer: -27028*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-4)*x**(1\/5)*(x**(1\/3))**(-44) assuming x is positive.\nAnswer: x**(-262\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -4. Let b be 2\/((p\/(-4))\/(-1)). Let a be (42 + -41)\/(18\/(-4)). What is the second biggest value in 16, a, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4427 - 9437 = -8*s. What are the prime factors of s?\nAnswer: 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/13795372 and -73\/1001277.\nAnswer: 124158348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 0.49 (c) 11 (d) -1.14 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u = -0*u - 14*u. Solve -5*k + 6 = 2*w, -k - 2*k = u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.063 minus -0.01265372?\nAnswer: -0.05034628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -128, -124, -118, -110, -100?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.99 - -0.69. Let q be -1*4*83\/2324. Which is the nearest to 0? (a) -6 (b) q (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2525, -5055, -7601, -10169, -12765, -15395, -18065?\nAnswer: -20781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 5. Let p(a) = -a**2 - 7*a - 2. Let f be p(-5). Let s be 16\/6*(-12)\/f. Put -5, s, v in descending order.\nAnswer: v, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2778 or -2777?\nAnswer: -2777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 11*f - 6. Let n be i(12). Suppose -106 = -n*k + 3*k - c, 3*k = -2*c + 104. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -552, -549, -546, -543, -540, -537?\nAnswer: -534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -15448, -12 in increasing order.\nAnswer: -15448, -12, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -6 - (40 + -41)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -45 (b) -16\/7 (c) -1.94 (d) 76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 19, 0, 2460, 4, -11 in ascending order.\nAnswer: -11, -6, 0, 4, 19, 2460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**2 + o + 15. Is k(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30479 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -502 = -5*m - y, 0 = y + 4*y - 10. Suppose -107*w + 1946 = -m*w. List the prime factors of w.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58277997.\nAnswer: 3, 19, 37, 61, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 767999 and 83581.\nAnswer: 1577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/f**(4\/23))*f\/(f\/f**(-7\/2)) assuming f is positive.\nAnswer: f**(-153\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 f when three letters picked without replacement from {y: 5, f: 8}.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aakaaaaaakkaaaa. Give prob of picking 2 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*g + 8*g - 3*g - 7*g to m*g + o and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 2\/(-5)) + (-2)\/(-1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1629894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -4. Find the second derivative of -3*h**2 + 4*h + c*h - 4*h - 4*h wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -2096734\nAnswer: 9\/2096734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 979*a. Let v(m) = 2204*m**2 - 2*m. Determine k(v(g)).\nAnswer: 2157716*g**2 - 1958*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 1116*l**2 - 131*l + 146198. Determine s(1116).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.1 (b) -41 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -14040063?\nAnswer: -5\/4680021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 3)\/(1\/29). Let h = f - -46. What is the first derivative of h - 3*i**4 + 0*i**4 - 18 wrt i?\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 147 and 735.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zyzw when four letters picked without replacement from wzzycw.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y - 3. Suppose -7*d + j = -2*d + 62, -4*d = j + 55. Let x be (-2)\/13 - (-50)\/d. Let o(t) = -t - 1. What is x*o(i) + 2*w(i)?\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 22. Let y(m) = m**2 - 6*m + 1. Let k be y(4). Let h = k - -11. Which is the biggest value? (a) w (b) h (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -542*g + 20262 = 660*g + 85170 for g.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n - 6*n + 36. Put 1, n, 2, 4 in decreasing order.\nAnswer: 4, n, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -3. Suppose v*d = 4*d. Let p = 31259 + -31264. Sort d, -1, 3, p in decreasing order.\nAnswer: 3, d, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2843 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 1. Let m(k) = 4*k**2 - 2*k - 3. Let o(g) = m(g) - 3*p(g). Calculate the lowest common multiple of o(5) and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*a = -271*a + 125 + 282 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*v**2 - 59*v**3 - 43*v**2 + 206*v**3.\nAnswer: 147*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*a**5 - 885972*a**4 - 73040396*a**3 - 1529846316*a**2 - 900863972*a + 556827888 = 0 for a.\nAnswer: -27604, -41, -1, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by 37.\nAnswer: 19\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1ed3e + -1?\nAnswer: -1ed3f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 462\/(-119) + 7 + -3. Let d(i) = -i - 1. Let n be d(0). Is l < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.14 + 0.08. Let g = r - 0.44. Which is the closest to 1? (a) -2\/3 (b) 3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12, 0.6, 0?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*o**4\/2 - 14439*o**3\/2 - 3285927*o**2\/2 - 310708077*o\/2 - 5281003020.\nAnswer: -3*(o + 113)**3*(7*o + 2440)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-77)\/((-6006)\/(-195))*((-648)\/(-15))\/2?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(-1\/9)))**2 assuming c is positive.\nAnswer: c**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-1)*4\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 6:34 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 23.73, -15.\nAnswer: -15, 23.73, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161 (base 8) to base 10.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-60)\/(-5))\/(-2) - -1. Let l = -3 - -1. Let y be 0\/(-2*(-2)\/l). Sort 1, a, y in decreasing order.\nAnswer: 1, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 44 = 5*c - i, -15 = 5*i. Let h = 21 + -19. Sort -3, c, h.\nAnswer: c, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 2)*(6 + 35 - 8)*(43*h + 31 - 31).\nAnswer: 2838*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*o - 123*o + 73*o.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.452741 seconds to milliseconds.\nAnswer: 2452.741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4*t + 6, -4*u - 2*t = -64. Let w = -1 + 9. Let v = u - w. What is the greatest common factor of 28 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -246, 16, -9 in ascending order.\nAnswer: -246, -9, 10, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 7:46 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*x - 45081 = 0, 5*k - 60088 = k - x. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50 + 22. Let f(w) = 8*w. Let d be f(-2). Let v = d - n. Calculate the greatest common factor of 96 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19211, 19166, 19121, 19076, 19031?\nAnswer: 18986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 100.51 + 1.49. Let i = -101.99962 + t. Round i to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**5\/30 + 3*j**2. Let m = -23 + 25. Let o(n) = 11 - 11 + 9*n**m + 4*n**2. Determine p(o(w)).\nAnswer: -338*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3207*x + 21288*x - 88389 = 237069 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 26327 (base 9) to base 16\nAnswer: 4564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 521921597*s**2 + 4754627*s - 11?\nAnswer: 1043843194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/2 - (-133)\/(-14). Let i = 7 + a. Put i, -3, 4 in increasing order.\nAnswer: i, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298592984?\nAnswer: 2, 37324123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**3)**(2\/161)*(j**(-1\/5))**(1\/10))**(-2\/23))**(-6\/7) assuming j is positive.\nAnswer: j**(834\/648025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142903397, 142903392, 142903383, 142903370, 142903353, 142903332?\nAnswer: 142903307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 666 + -441. Suppose 5*y + 2*g = 20 + 205, -5*y + 4*g = -h. Suppose -y*j = -50*j + 70. Calculate the remainder when 39 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 12 = -8. Let t(w) = f*w - 6*w + 0 + 1. What is the remainder when t(-3) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*((sqrt(18)\/(sqrt(24)\/sqrt(4)) - sqrt(3)) + -2 + sqrt(3) + sqrt(147) + 1 + sqrt(432) + 1*sqrt(432) + 3).\nAnswer: -128*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a. Let i(u) be the second derivative of 5*u + 0*u**2 + 1\/2*u**3 + 0. Give i(o(c)).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 9*z + 17. Let t(l) = 9*l + 17. Let c(x) = 3*b(x) - 4*t(x). Let u be c(-1). Which is greater: u or -9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 4*s**3\/3 + 3*s - 1. What is the derivative of a(l) wrt l?\nAnswer: 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 5. Suppose -x*l - 4 = -12. Suppose 0 = 5*f - 7*t + 6*t - 76, -4*f + 3*t + 63 = 0. Calculate the remainder when f is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1294\/(-10) + (3 - 2). Let a = z + 129. Suppose 17 = h - 5*q, 4*h + 2*q = -26 + 6. What is the biggest value in a, -0.5, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -13. Let h = 146 - 144. Suppose 3*p + 9 = w*z, -3*p + 5 = h*z - 4*p. Solve -26 = -z*c + 5*t, 2*t + 3 = -5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009416 to six decimal places.\nAnswer: -0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + -5*(sqrt(630)\/(sqrt(10)*1 + sqrt(10)))\/(1*sqrt(1296) + sqrt(1296) - sqrt(1296)))*-4.\nAnswer: -20 - 5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44935.62 months to millennia.\nAnswer: 3.744635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 6:11 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2102 or -2103?\nAnswer: -2103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 0*x**3 + 2*x**2 - 17 - x - 3*x - 2*x**3 + 16. Determine a(3).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*v**3 - 112 - 121 + 351 - 116 - 4*v in the form x*v**3 + w*v + n*v**2 + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 7*h. Let g(l) be the third derivative of -43*l**4\/8 - 55*l**2 + 4*l. Give z(g(n)).\nAnswer: -903*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 3.82. Let d = -0.04 + -0.08. Let i = u + d. Which is the second smallest value? (a) 0.01 (b) i (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/22)\/u**(4\/31))\/(u\/(u\/u**(-4\/17))*u*u**(-20)) assuming u is positive.\nAnswer: u**(220991\/11594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -3*n - 14, 4*n + 5 = -u + 2*n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 48734, 49313, 49892?\n\"Answer: 579*t + 48155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 593 by -5.\nAnswer: -593\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 752086556, 3, -4 in increasing order.\nAnswer: -4, 3, 752086556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 255234?\nAnswer: -255235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 0*u**4 - 1\/3*u**5 - 29\/210*u**7 + 25*u**2 + 0*u**3 + 0*u**6 + 0 + 0*u. What is the third derivative of t(q) wrt q?\nAnswer: -696*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (13 - -7)\/(-5) - 3. Let z(r) = r**3 + 7*r**2 - 13*r - 9. Does 4 divide z(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28263131.\nAnswer: 13, 1409, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1305774205 rounded to two decimal places?\nAnswer: 1.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 11*x + 47. Let y(z) = z**2. What is k(y(j))?\nAnswer: 11*j**2 + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12981.859 rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.4 - -2. Which is the second smallest value? (a) j (b) -1\/2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -99156571, 0.\nAnswer: -99156571, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*r + 620 = 1076 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z**3 - 11*z**2 - 1. Let n(q) = -q**3 - q**2. Let h(w) = i(w) - 5*n(w). Let t be h(3). Let m be 66\/77*t\/(-6). Put -5, 3, m in decreasing order.\nAnswer: m, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) -5 (b) 5.8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-476)\/272)*(-6)\/(-5)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 7 + -5 - (-36 + 12)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -318, -307, -288, -261?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 192325 and 14161.\nAnswer: 55581925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5253694 - 3703289. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*m - 3*m + 0*m)*(6 - 6 + 6*m) + (0*m + 4*m - 2*m)*(-m + 4*m - 2*m) - 5 + 5 + m**2 + (-5*m + m + 5*m)*(4*m - 2*m + 0*m).\nAnswer: 53*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 102646 or -84?\nAnswer: 102646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5486 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: Expand (1 - 1 - m)*(75 - 333 - 22 - 85).\nAnswer: 365*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 10*z**2 - z - 7. Let l be m(-10). Factor -12*r + 4*r**3 - 9 - 18*r**2 + 1 + 5 - 16*r**3 - l*r**4.\nAnswer: -3*(r + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 6 - 9. Suppose -2*g + f = -g. Solve -b + g*b + 8 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -84, -191, -340, -531, -764?\nAnswer: -1039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2012100101 (base 3) to base 9\nAnswer: 65311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1 + (0 + 1 + 2)*(4 + 1 - 3))*(3*m**2 - 2*m**3 - 3*m**2).\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*m - 3092 = 93*m + 1336 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -220327\/2 greater than or equal to -110164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) -4 (c) 14 (d) -23.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -37*f**8\/14 + f**4\/4 + f**2 - 108*f. What is the third derivative of c(b) wrt b?\nAnswer: -17760*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 3 (c) 78 (d) 9\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-8) + (-345)\/(-20). Suppose -j - 2 = -4*b. Suppose -4*a + 14 = -3*a. What is the remainder when a is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-96048)\/891)\/((-22)\/21). Let k = 28\/121 - h. Let s = k - -94. What is the common denominator of -7\/4 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3039509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -129, -1770, -6347, -15330, -30189, -52394, -83415?\n\"Answer: -245*j**3 + 2*j**2 + 68*j + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 2*p**2 + 3*p + 1. Let m = 44 - 50. Calculate the remainder when t(-2) is divided by (-4)\/((-8)\/2) - (0 + m).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/((-69)\/42 + (-8)\/(-7)). Calculate the greatest common factor of m and 1792.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-2 + 6 + 0) - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -14 + 8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -158*w - 96 + 99*w + 65*w to the form b + k*w and give b.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1343, -0.4, 1.6, -2, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 128?\nAnswer: -127.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/60 and 31\/90?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/2)\/p)**(-5\/11)\/(p\/p**(-33)*p\/(p*p*p\/(p\/p**(-20\/9)))) assuming p is positive.\nAnswer: p**(-7019\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33207741 - -33207782.000019. Let t = 51.1 + -10.1. Let x = y - t. Round x to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 1\/12*y**4 + 0 + 3*y**2 + 2\/9*y**3 + 0*y + 1\/90*y**5. Find u such that z(u) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**2 + 1005*g - 10714. Give t(324).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 47, 47, 43, 35?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + m + 8 - 1 = 0, 2*m - 4 = 2*p. Suppose 62 = 5*t - 2*q, -p*t = -q - q - 34. What is the highest common factor of 2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 554*l**3 - 383*l**3 - 3 - 83*l**2 + 1017*l**3 wrt l.\nAnswer: 7128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(1\/2))\/y)**(-1\/7)\/(y\/y**(-33))**40 assuming y is positive.\nAnswer: y**(-19039\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 - 8)*(-1478 - -12). Let v = c + -10267. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence frff when four letters picked without replacement from gggfgggggffffrgfg.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q + 9. Let a be j(6). Suppose -4*i = l - 209, 2*l + 7*i - 418 = 2*i. Suppose 4*d - x = l, 0*d - a*d - x + 148 = 0. Does 17 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 40*n - 194. Give r(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0 - 1 = -2*t, 0 = o + t - 3. Calculate the remainder when 76 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -t - t. Let z(a) be the third derivative of a**6\/120 + 2*a**5\/15 - a**4\/4 - a**3 + 5*a**2. Is 9 a factor of z(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**4\/6 - 11*h**3\/6 - 28*h**2 + 1. Let m(v) = -v + 4. Give 11*m(u) + 4*q(u).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 47\/4 + 8\/32. Suppose -5*j - 3*d + 0 = y, 5*j + 20 = -5*d. Let n = 67\/20 + -15\/4. Which is bigger: n or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12570464800 to the nearest one million.\nAnswer: -12570000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**6\/360 + l**5\/120 + l**3 + 6*l. Let p(u) be the second derivative of v(u). What is p(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -15*j**2 + 35. Let g(t) be the first derivative of -t**2\/2 - 1293. Give g(d(m)).\nAnswer: 15*m**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -17*n**3 - 6 + 5*n**3 + n + 0 + 11*n**3 + 5*n**2. What is w(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -29984, -59984, -89984?\n\"Answer: -30000*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*b - 15 = 0, 3*s = 3*b + 2*b + 4. Suppose s*l - 2 = 13. Suppose -22 = -l*n + 3. Solve -2 = -n*z - 27 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*l + 233*l + 30 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -115 + 68. Let u = -26 - f. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 2:32 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - s - 45. Suppose 1 = 5*h - s. What is the third derivative of -y**2 + 2*y**6 + 4*y**2 - 4*y**h wrt y?\nAnswer: 240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j. Let f(o) = -11*o**2 - 3855933*o. Determine f(i(n)).\nAnswer: -44*n**2 - 7711866*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 437, 444, 465, 506, 573, 672, 809, 990?\nAnswer: 1221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 154756997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eil when three letters picked without replacement from leellleli?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -768*u**3 + 1498*u**3 - 733*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 39.74766 micrometers?\nAnswer: 39747.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -12879 and -12877 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3092 - -3096. Suppose 2*q - 13 = -5*w, q - 2*w = -4*w + 5. Let t = 6 + q. Solve -i*p - t = -3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mpmpyyfypmypypfpyps. What is prob of sequence psss?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 43 = 2*c + 2*f, 4*c = 3*f + 29. Let h = c + -15. Let d = -2 + -1. Sort 3, h, d in ascending order.\nAnswer: h, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -354 + 359. Solve 2*s + 4 = 3*r, b*s = 4*r - 2 + 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 84, 81, 76, 69?\n\"Answer: -r**2 + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/13 and 69\/10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -6*u**2 - 57*u + 38. Give m(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1100) - (-3*sqrt(1100) + -3)) - 5*sqrt(1100)*3*-3)**2.\nAnswer: -2460*sqrt(11) + 1849109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 51744577, 51744576, 51744575, 51744574, 51744573?\n\"Answer: -o + 51744578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19705988 and 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 234545 (b) -1 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 525101 (base 6) in base 3?\nAnswer: 2011102101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 518 - 8. What is u rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -195 (b) -2 (c) 0.4 (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -483, -965, -1447, -1929?\nAnswer: -2411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -5*y - 5, k + 11 = -y + 4*k. Suppose -5*i = -a + 3*a - 4, 5*a = -5*i + 10. Let h = i + y. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 11:34 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 2:50 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 5:48 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41723\/168 + 1730\/7. Find the common denominator of -85\/14 and g.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f**2 + 2*f - 2*f)*(0*f + 5*f + 3*f) + 8*f**3 + 9*f**3 + 8*f**3 as p + b*f + x*f**2 + g*f**3 and give g.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + v**2 + v - 4. Let c(b) = -3*b**3 + 4*b**2 + 2*b - 12. Let t(n) = 4*c(n) - 11*x(n). Let o be t(4). Solve 3*w = -o*p - 3*p, 5*p = w + 18 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15255 and 1215.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of o**4\/4 - 4*o**3\/3 - o**2 + o - 6. Let r(i) = -i**2 - 24*i + 215. Let n be r(7). Calculate x(n).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210122120100 - -1?\nAnswer: -210122120022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -2)\/1 - (3 - -3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*z + 480 = 0, -2*g + 10*z = 12*z - 192. Solve -g*k = -93*k - 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a hour in seconds?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 683251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 7:23 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 12:45 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7144*i - 7121*i = -391 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -52, -47, -38, -25, -8?\n\"Answer: 2*p**2 - p - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**2\/2 + 21157*b\/2 + 52905 = 0.\nAnswer: -5, 21162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 7*s**2 - 21*s - 19. Let w be o(-9). Sort w, 0, -1.\nAnswer: -1, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 13 - 148. Suppose -b - 155 = 2*x. Let t = 52 - x. List the prime factors of t.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -152 + 152.1. Let g = -339 + 343. Which is the nearest to y? (a) 1\/4 (b) g (c) -33\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*g - 4, 7*g - 3*g = 0. Put 6, -1, l in increasing order.\nAnswer: l, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6796 by -6796.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 168421.23.\nAnswer: 168421.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 + 6*w**2 - 3*w**2 + (-3*w + 5*w + 0*w)*(1 - 1 - 2*w) - 3*w**2 - 3*w**2 + 5*w**2 + (-3*w + 4*w + w)*(866 - 1728 + 867 - 181*w).\nAnswer: -366*w**2 + 10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-6\/7)*t)**(1\/9)\/((t*t*t**(2\/27))\/(t**(4\/9)*t)))**(-7\/10) assuming t is positive.\nAnswer: t**(59\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 222053?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-171)\/(-285))\/(2\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, e: 5, v: 1, c: 1}. What is prob of sequence je?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 5:35 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, c: 5, t: 4, n: 2, y: 2, z: 1}. What is prob of sequence ncy?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/13)*d**5\/d)\/(d**(-19)\/d**(-3\/11)) assuming d is positive.\nAnswer: d**(3217\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -186, -329, -484, -651, -830?\nAnswer: -1021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*d - 0*d. Suppose -3*s + d = 2*s. Differentiate -2*g**4 + 2*g**4 - 4 + s*g**4 wrt g.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 267.8, 5\/11, -1\/3 in descending order.\nAnswer: 267.8, 5\/11, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a gram in milligrams?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1913 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3038 divided by 7\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 135\/6 + 3\/2. Let h be (-3)\/(-9) - 17\/r. Let m = 25\/42 - 2\/21. Which is the second biggest value? (a) m (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t + 3070 = -444*t - 187*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**4\/6 + 7*a**2\/2 - 92842*a. Let t(r) = r**2. Let b(o) = o - 1. Let y be b(2). What is y*t(v) - i(v)?\nAnswer: -v**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 24*w + 368. Give a(-25).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o**3\/8 + 15*o**2 + 33*o\/2 - 6 = 0. Calculate o.\nAnswer: -4, -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 + (-28)\/8)\/((-42)\/(-56)). Solve -d = -5*a - 2, -v*a - 22 + 29 = -3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/6)\/((-1)\/3). Let q(d) = d**3 - 43*d**2 + 51*d - 59. Let m be q(42). Let b = -309 + m. What is the greatest common divisor of b and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.86 + -0.36. Let n = -2.1 + 2. Suppose 3*f = 1 + 2. What is the closest to f in -2, h, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000091 rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 250.3258m?\nAnswer: 250325.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 31*q + 191. Let z be t(-6). Solve 4*s - z = -3*w, -4*s + 5*w = -5*s - 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2513837063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 98890.63 millimeters in centimeters?\nAnswer: 9889.063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a - 7*a + 2*a)*(1 + 118*a - 2*a**3 - 180*a**2 + 182*a**2 - 9*a**3) to f*a + t*a**2 + o + r*a**4 + j*a**3 and give t.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (111\/518)\/(-3 + 8 - (-107)\/(-21))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeegeegge. Give prob of picking 4 e.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17695.82 tonnes?\nAnswer: 17695820000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 4, 0.3, -1.5, -17\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 24 + 56 - 12*l**3 - 12.\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51609070 or 51609069?\nAnswer: 51609069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -10*k + 14. Let q be z(21). Let j = q + 306. Let o = j + -72. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 17. Suppose 4*i + 0*i = 2*d + 18, i = -2*d - h. Suppose 3*g - 318 = g + 4*y, 0 = 3*g - i*y - 483. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from ddvvuccmvdccdvc?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -9. Suppose -2*l - 13 = -l + 4*m, 3*l + 3*m + 3 = y. Suppose -46 = -o + a - 9, -169 = -5*o - l*a. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42248084?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 10, 12*a - 8*a + 8 = -6*v - 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7962917*q**4 - 13727672 wrt q.\nAnswer: -31851668*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0.0036. What is l rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 29678*x**2 - 118682*x. Calculate y(-4).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 122 and -1255977 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000424579555 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*a**2*s**3 - 34*a**2*s - 90*a*s**3 + 483*a*s**2 - 2*a*s + 44*s**4 + 3*s**2 wrt s.\nAnswer: -54*a**2 - 540*a + 1056*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3447548 to the nearest integer?\nAnswer: 1857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5 = 5*y, -4*y - 30 = 4*x + 6. Which is the smallest value? (a) -5\/3 (b) x (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 25, 3*q = -m + 2*q - 43. List the prime factors of 386\/3 + 32\/m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktkssllklk. What is prob of picking 1 t and 1 k?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7398, 7397, 7384, 7353, 7298?\nAnswer: 7213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -221?\nAnswer: -3\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*y**5 - 27*y**4 - 18*y**3 - 3*y**2.\nAnswer: -3*y**2*(y + 1)**2*(4*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o**2 + 4*o + 286 - 288 - o**2)*(-4*o**2 + o**2 + 5*o**2).\nAnswer: 10*o**4 + 8*o**3 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + 2 + ((sqrt(125) + 1)*5 - sqrt(125) - 5*(0 + sqrt(125)))*4)*3)**2.\nAnswer: -61560*sqrt(5) + 191241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1226256 by -59.\nAnswer: -20784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 459342607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 19307039986?\nAnswer: 19307039989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-6)*((-29)\/(-2) + -4). Let h be (-7)\/z*((-6)\/(-3) - 2). Let s be 7 - 2 - (-66 + h). Which is smaller: 72 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.7 + 14.97. Is -2 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 129200 divided by -76\nAnswer: -1700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2186 - 2069. Calculate the smallest common multiple of 108 and j.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 50*m**2 - 14*m + 27. What is a(2)?\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 548.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 2*d**2 + 3*d + 4. Let t be q(-5). Suppose 0*l + 2*l = t. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 371 = -217. Let a be (w\/(-8))\/3*108\/(-28). Find i such that 0 - 3*i**2 + 0*i - a*i**3 = 0.\nAnswer: -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.145 + -0.334. Let a = -0.026 - v. Round a to two dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 665836, 665833, 665830, 665827, 665824, 665821?\n\"Answer: -3*s + 665839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**2 + 18*i + 6. Let c(f) = -9*f**2 - 87*f - 18. Give -3*c(r) - 8*z(r).\nAnswer: 3*r**2 + 117*r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*52\/96)\/(15*(-2)\/36).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: 63268 (base 12) to base 14\nAnswer: 35516","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 3:12 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + i = 12, 12 = -4*a - 0*a + 5*i. Suppose -4*l = -5*t + 85, -6*t = -3*t + a*l - 29. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((5*(sqrt(28) - sqrt(28)*1))\/sqrt(2))\/((sqrt(7) + (sqrt(7) - sqrt(1008)*1))*1))*-4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*c - 6*c + 24*c)*(1 + 2 - 5)*(2*c - 4*c + c)*(40*c**2 - c - 72*c**2 + 37*c**2).\nAnswer: 90*c**4 - 18*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 406 and 9213722.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 244159 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/5)\/(18\/20)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14667046 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.64593 millilitres in litres?\nAnswer: 0.01664593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -7*s - 31. Let m be h(-5). Suppose -28 = -5*i - 4*t, 5 = 3*i - m*t + 1. Let o be 21\/3 + 4\/(-2). Solve -3*r - o = -i*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17007967307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2631 divided by -695?\nAnswer: -2631\/695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*b = -2*b + 3, -j = -b - 5. Let a be (2\/6)\/(j\/45). Suppose -a = -10*r + 5*r. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuwnuuuuuuauuuuuad. Give prob of sequence da.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 264 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-70)\/(-4)*4832\/40. Suppose 3*l + 4*l = y. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**5\/2 - 2*i**3 + i**2 + 3*i\/2 - 1 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**2 + 6*f**2 + 4*f**2 - 6*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/4 + 1 - 2\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330 = 591*b - 621*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 65 (b) -0.4 (c) -3\/4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = -3*z - 103, z - 234 + 167 = 4*b. Determine t so that 16*t**z + 13\/2*t + 3\/2*t**5 + 1 + 15*t**2 + 8*t**4 = 0.\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k\/k**(2\/13)*k)*(k*k*k\/(k**(-2\/17)\/k*k)*k)\/k*(k\/(k**1*k))**(-1\/2))\/(k*((k**(-4\/9)\/k)\/k)\/k*k*k**(-2\/3)*k)**(-19) assuming k is positive.\nAnswer: k**(-76933\/3978)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30\/(-20) - (1 - (-470)\/(-4)).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6))\/(21\/(-9))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, o: 2, e: 1, w: 2, m: 1, c: 1}. Give prob of sequence ewwe.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0.5. Let z(n) = 15*n - 519. Let d be z(0). Let l = -5715\/11 - d. What is the biggest value in 0.5, l, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 252\/(-210) - 38\/(-30). Let k = -5\/4 - -3\/4. Which is the closest to k? (a) 0 (b) -3\/2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/(-8) + 10\/(-80). What is the tens digit of (a + 1 - 0)*420\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/14)\/((-12)\/(-45)*905\/(-10136))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -11*i**3 + i**2 - 2*i - 9. What are the prime factors of k(-3)?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-8\/9)\/(f\/(f*f**17*f*f)*f))\/(f**(2\/83)\/(f**(-3\/14)\/f)) assuming f is positive.\nAnswer: f**(165997\/10458)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 285355153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 642, 1255, 1822, 2319, 2722, 3007?\nAnswer: 3150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-9))\/(10\/75)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1073835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 400 (base 14) to base 12.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2761425 - 817384235\/296. Let q be ((-16)\/222)\/(12\/(-558)). Let d = q + z. Find the common denominator of 49\/8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -635*s + 646*s - 55 = 0. Solve s*z + 3*t - 5 = -0*t, -z + 3*t + 1 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 152 + 39 = 2*w, w - 4*s = 97. What is the remainder when w is divided by 36?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 8*a**5\/7 - 522*a**4\/7 - 1277*a**3\/7 + 4023*a**2\/7 + 10845*a\/7 + 6075\/7 = 0.\nAnswer: -3, -5\/4, -1, 3, 135\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*z + 35 = -44*z, -5*i + 342374 = -2*z. List the prime factors of i.\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 328 - 230. Suppose -5*z + 8 = h - 94, h + z = k. Let i = h + -58. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 12*m**2 + 14*m - 13. Let d(h) = 19*h**2 + 21*h - 20. Give -5*d(c) + 8*u(c).\nAnswer: c**2 + 7*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 5*q - 7, -5*q + 43 = -56*d + 45*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -127, -146, -171, -202, -239, -282, -331?\n\"Answer: -3*f**2 - 10*f - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18611 is divided by 37?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yjllyvliyijiyylyhyyh. Give prob of sequence ilvv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 12542*d + 2. Let w(j) = 10*j. Calculate r(w(q)).\nAnswer: -100*q**2 + 125420*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, d: 4, x: 1, h: 2, r: 1, b: 3}. Give prob of picking 2 b.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*f - 8. Suppose -52 = -7*a + f*a. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(475)*-5 + sqrt(19))**2.\nAnswer: 10945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 4:41 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 6 = 4*x. Let z(a) = 2*a**2 - 2*a**2 + 5*a**2 - x*a**2. What is z(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -345 - -349. Which is the second smallest value? (a) -20 (b) g (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 2*h**3 - 6*h**2 + 4 + 2*h**2. Let z be a(4). What are the prime factors of (z\/(-6))\/((-14)\/483)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8225 * -1130.\nAnswer: -9294250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-41)\/(1722\/56))\/(((-1899)\/15)\/(117\/(-130)))?\nAnswer: -2\/211","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75 + 44 - 13)*(-1 + n + 1).\nAnswer: -44*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 21232 and 21232 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3312311100 (base 4) to base 15.\nAnswer: 14e869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -8*h + 14. Let i be h\/(-14) + (0 - (1 - 1)). What is the nearest to 1\/2 in 9, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 79*q**3 - 279479*q**2 + 53621596.\nAnswer: 237*q**2 - 558958*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**3 + 3*v**2 - 1. Let z(f) = 4*f**3 + 3*f**2 - 2. Determine -3*c(a) + 2*z(a).\nAnswer: -a**3 - 3*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -30*g + 6. Let x be j(-7). Suppose 4*u - 274 = -2*q, 0*q + 2*q = 3*u - x. What is u rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 78 + -82. Which is the biggest value? (a) 0.02 (b) 37 (c) q (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1237098*-0.3.\nAnswer: -371129.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 3*a + 17, -3 = 5*a + 2. Solve 5*p = -10 - l for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*c - 161 = -798 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(170))\/sqrt(10)*-5 + sqrt(119)\/(sqrt(21)\/sqrt(3) + sqrt(7)) + sqrt(17) + -1*sqrt(1377))**2.\nAnswer: 20825\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -65*u + 47. Let c(d) = 1253*d - 875. Let f(y) = -66*y + 46. Let h(r) = 3*c(r) + 56*f(r). Let s(k) = -6*h(k) - 5*x(k). Differentiate s(t) wrt t.\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2152052597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 101 + 184. What is the greatest common divisor of z and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*p + 1088 = 143*p + 5388 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1516950?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 13) to base 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 405 - 408. Which is the closest to 2? (a) 0 (b) -1\/6 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 9:28 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 - -31. Which is the closest to -1? (a) o (b) 4\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.93378 hours to seconds.\nAnswer: 266161.608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.704698l to millilitres.\nAnswer: 5704.698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 34\/78 + (-117)\/((-15444)\/(-88))\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*o - 31785 = 12339 - 12796. Which is the fourth biggest value? (a) 6 (b) -2\/9 (c) 2 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 7:46 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*(-5)\/50*(-9)\/((-135)\/230)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*c + 17*c - 9*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 883030419 to the power of 1\/2, to the nearest integer?\nAnswer: 29716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*l = -35*l - 864. Calculate the greatest common divisor of l and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**3 + 4*y + 4 - 3*y**3 - 2 + 2*y**3 as r*y**3 + t + o*y + c*y**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*k + t + 2*t, 0 = -5*k - 2*t + 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*n - 193 - 973. Calculate the remainder when n is divided by (-9)\/(-6) + 30\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6440.956kg to nanograms.\nAnswer: 6440956000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**5\/4 - 27*i**4\/2 - 45*i**3 - 93*i**2\/2 - 63*i\/4.\nAnswer: 3*i*(i - 21)*(i + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/(216\/(-5184))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 104521409?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 - 355050*t - 355047.\nAnswer: -3*(t + 1)*(t + 118349)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 - 121*v**2 - 49*v - 507. What is g(61)?\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -657, -1322, -1985, -2646, -3305, -3962, -4617?\n\"Answer: v**2 - 668*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -c333 (base 13) in base 9?\nAnswer: -40823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 87*d**5\/20 - d**4\/12 + 4*d**3\/3 - 45*d. Find the third derivative of u(w) wrt w.\nAnswer: 522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 - 23*o - 30. Let s be k(-10). Let n(t) = 28*t + 2. Let q be n(1). Let w = q - 45. Sort w, -2, s in ascending order.\nAnswer: w, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 13*f + 55. Let v be x(-16). Suppose -v*z - 4*z = -227799. Is -2*(z\/6)\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*2632\nAnswer: 2632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-6)*(-1052)\/1315\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*z**5 + 17504*z**4 - 207484*z**3 + 647656*z**2 - 286020*z + 34200 = 0 for z.\nAnswer: -285, 1\/4, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 277\/6 - 1397\/30. Which is bigger: 5 or i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2*o)*(-153 - 184 + 92) + (2*o + 0*o + 0*o)*(10 + 6 - 5) as t + y*o and give y.\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 - -0.799947. What is t rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 10. Suppose 0 = 5*f - 3 - 12. Let h = 3 + f. Solve -h*u = -u + i*z + 5, -3*u - 5*z + 13 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-6))\/((-1)\/9). Let u = 1 + -1. Suppose u = 4*l - 3*l. Solve 5*g + 0*w = w - 21, l = -f*w + 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -2)*1*-3. Let d(p) = p**2 - 7*p + 7. Let c be d(6). Let k be 4\/2 + c + 1. Solve 0*i + 15 = -o*i, k*z + 4*i + 4 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -980 - -1010. What is the smallest value in 2\/29, k, 5\/3?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 96*v**2 - 94*v + 92. What is c(-95)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8056, -8055, -8054?\n\"Answer: k - 8057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 691 * 58.\nAnswer: 40078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42612?\nAnswer: 2, 3, 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 3*x**2 - 6*x + 4. Let z be t(1). Find the first derivative of -43*y - 7 + 6 - z*y**2 - 2 + 7 wrt y.\nAnswer: -4*y - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3444, -1597, 1524, 5925, 11612?\nAnswer: 18591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.036441 - -0.803411. Let z = 41.19203 + q. Let b = z + -42. What is b rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 14. Let d(n) = -4*n + 0 + 2*n + 3*n - 4*n + 5. Give d(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/163052 and -25\/37.\nAnswer: 6032924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -74*l - 1679. Calculate the remainder when 50 is divided by o(-23).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {u: 1, o: 5, i: 5, q: 8}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 794 and 1.01.\nAnswer: 801.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 2626\nAnswer: -1\/1313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 + 1479277*u**2 - 547064371043*u - 547065850321.\nAnswer: -(u - 739639)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**4 - 77*f**3 + f**2 - 15 wrt f.\nAnswer: -72*f - 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of w**5\/10 + 4*w**3\/3 + 29*w**2. List the prime factors of z(-6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 12663, -49 in increasing order.\nAnswer: -49, -1, 12663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/(-9) + (-128)\/32?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8062468 is divided by 195?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2953100 divided by 590620.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3144924850?\nAnswer: 2, 5, 62898497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, b: 5, a: 1, h: 5, u: 2, q: 2}. Give prob of picking 1 h, 2 b, and 1 a.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/238 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, 35, 214, 481, 848, 1327, 1930?\nAnswer: 2669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -6, -2*q + 9 = -2*l - l. Suppose q = -5*n + 4*n + 40. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-two fifths of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2430 + -2434. What is the closest to -10\/7 in 2, -1, i, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2306 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12479?\nAnswer: 12479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (167*y - 209*y**4 - 161*y + 226*y**4 + 11*y**3)*(0 + 0 - 2) to g + c*y**3 + h*y + v*y**2 + k*y**4 and give c.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -23. Calculate the common denominator of ((-471)\/75)\/(12\/m) and (-25 + -4)*2\/(-28).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 + 3*k - 4. Let n be x(7). Let j = -112 + n. Let v = j - -1. What is the third smallest value in 0.1, v, -1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351443457 a multiple of 463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18522 by -3087.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9487 and 24062?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 4*n + n - 1, 3*u - 3*n = -15. Is -2 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6446 * -26.\nAnswer: -16.7596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -286358 or -2004497\/7?\nAnswer: -2004497\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*y + 2, m = 3*y - 0*m + 4. Sort y, -4, 3.\nAnswer: -4, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w = 1592 + 1548. Calculate the remainder when w is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 162\/5 (c) 4 (d) 3\/8 (e) 193\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1755 and 5742630.\nAnswer: 74654190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (3 - 8) + 7 + -4 - -21.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65 + -60. Suppose n*c - 3*u - 205 = -8*u, c - 3*u = 29. Suppose -g + 2 = -w + c, -2*w = -g - 68. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*p**2 + 4*p + 17*p**2 - 4*p.\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*k = -33*k - 45360. Is k at most as big as 2161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eueeuee. What is prob of sequence eeu?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34670 + 60424 = -1441*k + 14398 for k.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 take away 241747793?\nAnswer: -241747785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-15))\/(5\/15). Let g = -0.1 - -1.1. Which is the third smallest value? (a) l (b) g (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 - 217.4. Let v = h - -217.00000338. Round v to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 24. Suppose 0 = 2*a + 3*a - h. Suppose 0 = 3*o - 4*r - 33, a*o = -7*r + 2*r + 13. Calculate the greatest common factor of o and 70.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 9153?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*((-4 + sqrt(5))**2 + sqrt(5)) - 5*sqrt(30)\/sqrt(6)) + 0)*-2 + 4.\nAnswer: -122 + 52*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f*q**4 - 44*f*q**2 + f*q + f + q**2 - q wrt q.\nAnswer: 24*f*q**2 - 88*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 8 + 2)*((z**2 - 2*z**2 + 0*z**2)*(0*z + z + z) + 3*z**3 - 4*z + 4*z) to s*z + b + g*z**3 + y*z**2 and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -3\/7, 8, -4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven eighths of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17687 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2 = -2*w + 2*f, 2*f = w - 6. What is the third derivative of -2*o**5 - 6*o**5 - 132*o**2 + 137*o**w wrt o?\nAnswer: -480*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14695 - 14677. Solve 14 = -4*q - 3*b, 0 = 3*q - 8*q - 4*b - j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 350711563 and 577?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 3*g = -3, 45*g = 47*g + 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2299 - -10488. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 124 and 4.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -69*p + 7. Let a be n(-13). Suppose -2*w + a = -k, w - 3*k = -0*k + 462. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 50960015351.045 and -0.2.\nAnswer: 50960015350.845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 1\/11, 6 in ascending order.\nAnswer: 1\/11, 6, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/20 of a hour?\nAnswer: 180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29681?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 5 - 15 - 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -511 + 511. Solve -p + 2*o + 11 = g, 3*p + 1 = -o - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 46*p**2 + 26*p - 14. Let l(v) = 15*v**2 + 9*v - 5. What is -17*l(j) + 6*x(j)?\nAnswer: 21*j**2 + 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5332\/12121 - 18\/51.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/7 + 5313\/(-49). Let n = m - -118. What is the highest common factor of n and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)*-5 + 0 + sqrt(684) + -5 - (sqrt(684) - (-4 + sqrt(684))*4)*-1)**2*4.\nAnswer: -3696*sqrt(19) + 134548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2970940431 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 405984.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 111, 4, 3 in descending order.\nAnswer: 111, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 45021133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 1024?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 5*t - 3 = -14, -3*t + 3 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/12 + (-26)\/(-3). What is the highest common divisor of 27 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -443, -868, -1293, -1718, -2143, -2568?\nAnswer: -2993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/1360 and -133\/6120?\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1467479.1 - -19951.08?\nAnswer: 1487430.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12048 + 25548. Round w to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*2*2 - sqrt(5)) + -2 - (1*sqrt(15)\/sqrt(3) + (sqrt(5) + sqrt(30)\/sqrt(54))**2).\nAnswer: -98\/9 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a + 3. Let h(k) = -2*k**2 + 3*k - 1. Let v(p) = 3*c(p) + h(p). Determine l, given that v(l) = 0.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from yyyieyiyyeye.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-163)\/5379 - 4716\/1188\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 967 + -967. Solve -2*a = 3*c - 17, c - 2*a = -z*c + 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1998\/(-3108))\/(3\/(-2)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 2017*x**6\/15 + x**5\/20 - 1363*x**4\/3 - 13*x - 235. Find the third derivative of i(y) wrt y.\nAnswer: 96816*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 2 + -3)*-41. Let s be (u*-1)\/((-3)\/18). Suppose 13*n - s = 7*n. List the prime factors of n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 2:07 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*126\/(-18)*2\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*p - 77*p - 76*p + 232*p - 6833.\nAnswer: -3*p - 6833","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 5 (c) 1.43 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**2\/11 + 28624*w\/11 - 54416270\/11 = 0. Calculate w.\nAnswer: 2257, 12055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 86632 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.16, -2\/9, -3154, 3, -2?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -8*x - 34. Let z be -3*(-4 - (5 - (-96)\/(-9))). Give g(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**7\/252 - c**6\/180 - c**5\/20 + 27*c. Factor j(b).\nAnswer: b**3*(b - 3)*(b + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.202 from -0.1.\nAnswer: -1.302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/10)\/(23\/(-1265)*-11). Sort -3, -8, 38, -4, a in increasing order.\nAnswer: -8, -4, -3, a, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3076 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/a**(-11)*a*a**(-3))\/((((a*(a\/((a*a**(11\/5)\/a)\/a*a))\/a)\/a)\/a*a)\/(a\/((a\/((a*a**(2\/11))\/a*a))\/a))) assuming a is positive.\nAnswer: a**(901\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 94.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/2 - (-61)\/(-122). Put 3\/8, d, 0.07 in descending order.\nAnswer: 3\/8, 0.07, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1290632?\nAnswer: 2, 7, 19, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39973 = -30*t + 593*t for t.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 19\/(-40) + 26\/52. Let t(x) be the third derivative of -h*x**6 - 1\/24*x**4 + 0*x + 0*x**3 + 0 - 5*x**2 + 1\/210*x**7 + 1\/20*x**5. Factor t(o).\nAnswer: o*(o - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -8*j**2 + 192*j + 2057. Determine c(25).\nAnswer: 1857","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33619, -33523, -33427, -33331?\nAnswer: -33235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 4566?\nAnswer: -1\/1522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-9\/4))\/q*q)\/q**(-2\/35) assuming q is positive.\nAnswer: q**(463\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001431562274 rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -146 or -0.2?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -11 (b) 2 (c) 1\/1365 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104970348103 + 104970469232.056369. Let h = k - 121129. Let t = -0.0559 + h. Round t to five dps.\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 2*g - 334 + 337, -j = 4*g + 11 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -6) + (-1 + 1 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2614546 to the nearest integer?\nAnswer: 1617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/384 and 115\/54?\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 11*x**5 + 719*x**4 + 11487*x**3 - 9603*x**2 - 32670*x = 0?\nAnswer: -33, -15\/11, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -43*c**2 - 24*c + 1. Let p(z) = -21*z**2 - 9*z + 1. Let j(n) = 5*p(n) - 2*w(n). Let k(u) = 836*u**2 - 133*u - 133. Calculate -133*j(q) - 3*k(q).\nAnswer: 19*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 249 + 1253*d + 3795*d - 1377*d + 2934*d - 250 to the form x + i*d and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**3 - m**2 + m. Let p be o(1). Suppose -p*c = c - 3. Suppose -10*q + 16 = -24. Solve b + c = -q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvvvuvvuuvvvvv. What is prob of sequence uv?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 5*q - 35 = 2*j, 5*q + 15 = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 21. Let c = 5 + g. Let n be c*((-10)\/(-6) - 2). Let m(i) = 4*i + 2. Let q(k) = k + 1. Determine n*q(t) - m(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 146 = -2*t - 16, 25 = 5*t. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/28962 and 7\/9654?\nAnswer: 28962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = -45*a + 896. Suppose -r - 84 = -5*h - 0*r, 0 = -5*h + 4*r + 96. Is h != a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -10. Suppose 5*b + 0*b = -j*p + 30, 4*p - 24 = b. Is -93*(0 - p\/9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11925\/(-243) - 8 - 292\/(-3942)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(30) - sqrt(30))*-3 + sqrt(30) + (sqrt(210)*-2 + sqrt(210))\/sqrt(7))\/((sqrt(10) - sqrt(120)\/(5*sqrt(12))) + (sqrt(360)*5 - sqrt(360))).\nAnswer: -45*sqrt(3)\/124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (r + 4*r - 2*r)*(0 - 3 + 4)*(3 + 2 - 3 + (-1 + 1 + 2)*(-1 - 3 + 5))*(-5 + 3 + 0) in the form a + i*r and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11519340 and 210?\nAnswer: 11519340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 2 - 3) + -3 + 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-66)\/(-1))\/(9\/6). Suppose 3*c = c + n. Suppose -4*q - c = -62. Calculate the remainder when 29 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*1\/(-1)*-1. Suppose 2*b - 3 = l - 13, -15 = -l + b. Suppose -12*w - l = -2*w. Sort u, 4, w in descending order.\nAnswer: 4, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 9*d**5 - 4*d**4 + 4*d**2 + 7*d. Let w(n) = -n**5 + n**4 - n**2. Let j(a) = l(a) + 4*w(a). Find the second derivative of j(u) wrt u.\nAnswer: 100*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-462)\/98 + 5)*1. Let m(y) = 2*y**2 + 12*y + 1. Let n be m(-6). Which is the second smallest value? (a) i (b) n (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -1 + v - 2*v - 2. Let x = 0 + 0. Suppose x*m - 20 = -5*m. Determine u(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 18216411.044651 and -0.5.\nAnswer: 18216410.544651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-85)\/51*84\/35*(-6)\/32\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-27)*((-63)\/66)\/(-7)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 155 = g, 0 = -3*d - d - g + 123. Calculate the greatest common factor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = -3*s + 40. Suppose s*h + 759 = -7*h. Let a = h - -61. Let p(v) = -v - 9. Determine p(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141090 divided by -9487?\nAnswer: 141090\/9487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1772, -1527, -9896, -23335, -41844, -65423?\nAnswer: -94072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/20*477\/3498.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520681919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*(u*u\/u**(-1))\/u*u))\/(u*u*(u\/((u\/u**(-1\/13))\/u)*u)\/u))\/(u*u*u*u**(-2)*u)**(-33) assuming u is positive.\nAnswer: u**(781\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.25177618 to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22373*l - 22323*l = -700 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*t**5 - 4545*t**2 - 33*t - 47 wrt t.\nAnswer: -40*t**3 - 9090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 1\/3*w**3 + 3*w**2 + 1\/30*w**5 + 0*w + 0 - 11\/24*w**4. Is o(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -509 + 513. Suppose 5*i = -u + 11, 0 = -c*i - 11*u + 16*u + 32. Solve 2*n = -5 - i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 36\/15 - 10\/25. Let m = 3 + 0. Let k(j) = -4*j**3 + 4*j - 3*j**2 + 3*j**3 + j**3 + j**3 - m. What is k(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84746 by -13362.\nAnswer: -42373\/6681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14825, 121261, 410165, 972773, 1900321, 3284045, 5215181, 7784965?\nAnswer: 11084633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*n + 43, 3*n - 8 = -2*j + n. Let g(f) = f**2 - 5*f. Let p be g(j). What is the greatest common divisor of 14 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmd when four letters picked without replacement from mdmmmmmmmmmmmmmdmm?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s - 4*f - 113 = -0*f + 151, 5*f + 219 + 97 = -3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r**2 + 3091*r + 30696. What is f(-10)?\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1151, -1150, -1149, -1148, -1147?\nAnswer: -1146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22308*x - 7496*x - 7240*x - 7302*x + (4 - 6 + 3)*(-4*x + 0*x + 2*x) + x - x + x to the form j + m*x and give m.\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31124 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20483474 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 6397 - 6396. Let m(i) = i - 2. Let j(x) = 1 + 5*x - 2*x - 4*x. Give n*m(l) + 4*j(l).\nAnswer: -3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -252*w**3 - 221964*w**2 + 296288*w - 98800.\nAnswer: -4*(3*w - 2)**2*(7*w + 6175)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -20\/7, 1\/2, -9, 2, -4, -2\/13, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 4*z + 3. Let x be j(-2). Let n be (x - -9)\/((-14)\/(-28)). What is n rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 15) to base 10.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -322?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3113*a**3 - 13315?\nAnswer: 9339*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 886*t - 1609*t. Find y such that 6*y + t - 2\/9*y**4 - 6*y**3 + 2\/9*y**2 = 0.\nAnswer: -27, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - 3*f + 2*m + 28 = 6*m, -f - 4*m + 26 + 2 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -6*z**2 - 2*z + 2. Give i(-3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/48 and (0 - (-14)\/6)\/(80\/36)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*c**3 - 2 - c + 19*c**2 - 9*c**2 - 4*c**3 - 3*c**2 + c**3 + 3*c**2 + (-1 + 0 + 0)*(3*c**3 + 0*c**3 - c**3).\nAnswer: -16*c**3 + 10*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -140, -281, -426, -575?\n\"Answer: -2*t**2 - 135*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 798*o**2 - 10*o - 2773*o**2 - 3 - 82*o - 2 - 1 wrt o?\nAnswer: -3950","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -0.1, 1, -5\/2684 in decreasing order.\nAnswer: 5, 2, 1, -5\/2684, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -10.556.\nAnswer: -3.1668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**22\/w**(-24)*(w\/w**(-2))**(2\/123) assuming w is positive.\nAnswer: w**(1888\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*t + 118341782 - 27868465 = -19339510. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -10. Suppose 0 = -2*t - 0*t - r. List the prime factors of 16*(-3 - t)*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 equal to -9982?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 582 and 15?\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 451 - 446. Solve -u + 3*a - 14 = -0*u, k*u = 4*a - 15 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 476 + -1678214035.\nAnswer: -1678213559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-44)\/(-10) + (-12)\/30. Suppose -2*h = 2*u - 6, 6*h - p*h = -u + 7. Let f(q) = q**2 - 3*q - 3. Calculate f(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 78042549?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 19. Let u be (-1)\/(2 + 455\/(-225)). Let d be 9 + 36\/(u\/5). Is z <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21101832?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(5\/7)*u\/(u*u\/u**(-6))*((u*u**(-2\/7))\/u)**44 assuming u is positive.\nAnswer: u**(-125\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 212 - 212.07. Which is the nearest to 1? (a) 0.5 (b) s (c) -0.3 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/30)\/(2\/4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, m: 4, t: 9}. What is prob of sequence tn?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*66\/(-36) - 1137\/(-315).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.05, -4\/7, 1\/139, -1\/26, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 5676303?\nAnswer: 5676304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 563411831.\nAnswer: 563411831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -3*b**3 - b**2 + 2*b + 304. Let d(y) = -144*y**2 - 33*y + 33. What is 2*d(s) - 33*i(s)?\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-6)\/(-4)))\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, 9, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1620 take away -2?\nAnswer: -1618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wssw. What is prob of sequence ssw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 407 = -5*g, -178 = -2*j - g + 681. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*l**2)*(-2*l**2 + 4*l**2 + 2*l**2) - 5*l**4 + 2*l**4 - 2*l**4.\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1976, -2607, -3702, -5261, -7284, -9771, -12722?\nAnswer: -16137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -88\/152771 or 0?\nAnswer: -88\/152771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 58511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1331420806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**2 + 20*b + 22 = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -48.\nAnswer: -5\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 12 = 0, 1 = -15*j + 10*j - c. Let r(o) = 2*o + 5. Let u(t) = 0 + 4 - 3. Determine j*r(g) + 4*u(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14288163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 97 + 1\/3*c**6 + 0*c**2 - 23*c**3 - 16\/7*c**7 + 0*c**5 + 0*c + 0*c**4. What is the third derivative of n(z) wrt z?\nAnswer: -1920*z**3 + 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 9:08 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1200 + 31?\nAnswer: -1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21102 (base 3) to base 2.\nAnswer: -11001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0763698 and -2.\nAnswer: -0.1527396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x - 265 + 31 = 0. Let o be x\/21 - 1044\/(-42). Calculate the greatest common divisor of o and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-162*n**2 + 159*n - 159*n)*(-3 + 2 + 3)*(26 - 5*n - 26) - 6*n**3 - 4 + 7*n**3 + 2*n**3.\nAnswer: 1623*n**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 26366 = -17224. List the prime factors of r.\nAnswer: 3, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (16\/4 - 0) + (-9 - -234) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221 = 3*f - 2*g, 4*f - 22796*g = -22795*g + 303 for f.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**8*h*h\/(h*h**(1\/7))*(h\/(h\/h**(-1\/3)))\/(h*((h\/(h*h*(h*h*h**(-3)*h)\/h*h))\/h)\/h))**(6\/29) assuming h is positive.\nAnswer: h**(442\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8894880)\/192)\/(-145))\/(18\/8)?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 0, -21 in descending order.\nAnswer: 5, 2, 0, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + h - 14, -84*h + 79*h = -5*x + 30. Sort -2, x, -3.\nAnswer: -3, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/265367680 and 121\/50.\nAnswer: 1326838400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 142600 and 2300?\nAnswer: 142600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 + 1246. Let a(j) = 17*j. What is a(p(v))?\nAnswer: 34*v**2 + 21182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 261 = -18*w - 77 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431 = -16*j - 415 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 22*w + 16. Let u(j) = -11*j - 9. Calculate 4*p(a) + 7*u(a).\nAnswer: 11*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*k + 71 = -69 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 15*l**2 - 16*l - 3. Suppose 776 = -5*y + 856. Calculate z(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 812.76669 minutes to days.\nAnswer: 0.5644213125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/4 and 31\/228370.\nAnswer: 456740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 61*(-70)\/5*2\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1002816989 - -1.\nAnswer: -1002816988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 2\/(-8))*24. What is the common denominator of (7\/24)\/((-2)\/c) and ((-3)\/64)\/(1\/44)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/9)\/((-4)\/6)*(-345)\/(-138).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/141120 and -125\/1764.\nAnswer: 141120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3770, -5348, -7980, -11666, -16406, -22200, -29048?\nAnswer: -36950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5*(-1 + sqrt(76)*1 - ((2*sqrt(76))**2 + -4))*5.\nAnswer: -50*sqrt(19) + 7526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i - 4 + 1 + 3. Let z(c) = c**2. Determine y(z(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.394859 years in centuries?\nAnswer: 0.05394859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-47 + 7 + -3)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 37792\/35 (c) -0.364\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwqjqif. Give prob of sequence iqp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + sqrt(70)*3*6 - sqrt(70))\/sqrt(10) + 3 - (sqrt(56)\/(sqrt(56)\/sqrt(7)) + (sqrt(7) - (sqrt(63)\/(sqrt(27)\/sqrt(3)))**2)).\nAnswer: 10 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -2 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 6*a**2 - 12*a + 4. Give v(8).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.88 - 0.3?\nAnswer: 2.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 218 and 415072.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4315, -8640, -12965?\n\"Answer: -4325*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.08 and -8634255?\nAnswer: 8634254.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 t when four letters picked without replacement from lltltltlll.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 14. Suppose -3*c - 3 = -h*c. Suppose -30 = 5*l + v, l - 4*v = -c*l. Put 8, -4, l in descending order.\nAnswer: 8, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -2*w - 1734. Let l = w - 255. Calculate the remainder when l is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3099522.2 to the nearest ten thousand.\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -355, -338, -333, -346, -383, -450?\n\"Answer: -z**3 + 24*z - 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3605*w - 3514*w + 7328*w.\nAnswer: 209*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3328.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 16.9, 5\/104?\nAnswer: 5\/104","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1818 and 1564692?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -44, -47, -50, -53, -56?\n\"Answer: -3*t - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 17 = z, 0 = -8*w - 2*w + 8*w + w - 0*w + 1 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a week?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(13) + (1*sqrt(117))\/sqrt(9))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73 + 75. Let p = -0.25 - 0.05. What is the third biggest value in s, p, -2\/17?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y + 0*y - 5*y + 7*y - 3*y - y + (-3 - 1 + 1)*(2*y + 0*y - 3*y) - 5*y + 2*y + 2*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -89 + 20*v + 5*v**2 - 20*v - 7*v**2 in the form l + p*v + i*v**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-15)*-24)\/(7*(-12)\/(-280))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2\/5, 43, 0.9, -1, -2, 18 in descending order.\nAnswer: 43, 18, 7, 0.9, 2\/5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 + 64. What is the highest common factor of b and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - 105?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, b: 1, v: 1, c: 1, w: 1}. Give prob of sequence pw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*q + 35*q + 19 - 16*q)*(q - 4*q + q) to d*q + s*q**2 + x and give d.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -133275 divided by -75\nAnswer: 1777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -3822363.12 to the nearest one thousand.\nAnswer: -3822000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 16) to base 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1995118?\nAnswer: 2, 263, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**5 + 390*m**4 + 13434*m**3 + 49524*m**2 + 60291*m + 23814 = 0.\nAnswer: -63, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6180717 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 14 = -n + 3*y, -5*n - 3*y + 135 = 0. Is 3358\/8 + n\/(-32) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-9) + (-1931)\/(-663). Let v = f - 32\/13. Which is bigger: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 13*s**3 - s. Let z be b(1). Let w be (8\/(-12))\/((-2)\/z). Solve -2*q + 23 = 3*o, 3 + 3 = w*q - 2*o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 + 6*a + 4. Let s(f) = f - 12. Let x be s(7). Let z be u(x). Find the common denominator of 115\/6 and (-286)\/z + (-6)\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 188833, -0.16, 0 in increasing order.\nAnswer: -0.16, 0, 188833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 0 + 12. Let p(u) = u**3 + 6*u**2 - 13*u + 3. Let s be p(-8). Let g = 23 + s. Solve -g*o + 3*l + 11 = x*o, -2*l = -4*o + 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.58173 - 2.41827. Let y = -4.3 - 0.7. Which is the closest to -0.1? (a) y (b) 0.6 (c) f (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*l - 25*l + 10. Let r(h) = -3*h + 6. Let b(v) = -2 - 1 - 2 + v + v. Determine l*b(q) - 4*r(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36\/(-189)*-9*(-35)\/2. Let d = l + 30. Solve 0*y + 2*y - s - 12 = 0, y + 2*s - 1 = d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 3. Suppose 4*h - 1 = -34*w + 37*w, h - 3*w - 16 = 0. Sort h, 3, l, 1 in decreasing order.\nAnswer: 3, 1, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(1\/6)*w)*w**25\/w)**(-40) assuming w is positive.\nAnswer: w**(-2860\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*a**3 - 41*a**3 - 34*a**3 - 395437 + 395437.\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*w - 2*w - 131, -g - 5*w + 3 = 0. Let c = g + -3. Solve 0 = -4*r + 8*r - c for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 282 + -193. Let h be 14\/3*(-17)\/(1190\/(-30)). Suppose 0 = h*g - c + 13. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 11*p**7\/210 - 35*p**4\/24 + 58*p**2. Find the second derivative of z(b) wrt b.\nAnswer: 132*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 101\/2 and 50 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -6 - (-9 - 6)) + 9 + -10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5455, -1, 0 in decreasing order.\nAnswer: 2, 0, -1, -5455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -64*y**2 + 65*y**2 + 5423*y - 6617*y as v*y**2 + m*y + l and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 36520 (base 10) to base 14\nAnswer: d448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 7:53 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 260552674 to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06656, -1\/4, 1\/3, -5, 12 in ascending order.\nAnswer: -5, -1\/4, 0.06656, 1\/3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00066260477 to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 11*u + 241. Suppose 78*l - 80*l = 42. What is the smallest common multiple of 8 and d(l)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 9*x**2 + x + 1. Let c(r) = -4*r**2. Let q = -231 - -226. Determine q*c(z) - 2*m(z).\nAnswer: 2*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700)*-2*3 - (2 + sqrt(612) + -1).\nAnswer: -66*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/((-4)\/(-19)) - -1. Suppose 6*f = 2*f + 3*a + 27, 0 = 4*a + m. Solve 5*g = f - 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1347 or -1252?\nAnswer: -1347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 3 (c) -0.3 (d) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s + 16*s + 747 = 0. Does 15 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-1 + 4 + -15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -896?\nAnswer: -896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12421379053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4081*a**2. Let h(p) = -8425*p. Calculate k(h(z)).\nAnswer: -289671930625*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 2*q + 3, 8 = -2*q + 3*k + 29. Suppose -o + q = o. Suppose 409 = o*s - 74. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23433769*d**4*h**3 + 88*d**2*h**3 + 7*d**2*h - 27*d**2 + 11*d*h**3 - 1 wrt d.\nAnswer: -562410456*d*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**2 + 4*i + 5. Suppose -143*s + 121*s - 22 = 0. Give t(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1192763010?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/15 + (-44)\/(-12). Suppose c = d - 4*o, -5*o + 7*o = 2*d - 10. Suppose -2315 = -h - 4*h + d*a, 0 = -4*a + 12. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o + 2. Suppose 5*m - 16 = 4, 0 = -3*c + 3*m - 18. Determine x(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -45*b + 958. Determine m(20).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1693*k**3 + 155*k**3 - 1502*k**3 + 269*k**3.\nAnswer: -2771*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 3*z - 492, 1 + 3 = z. Let i = h - -632. Suppose -i = -6*u + 22. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 263*h - 279*h + 14.\nAnswer: -16*h + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4071, -8216, -12349, -16464, -20555, -24616, -28641, -32624?\nAnswer: -36559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 449748.7t in micrograms?\nAnswer: 449748700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o - 5. Let x be j(-2). Suppose -2*l = 3*p + 4, 0 = -p - 2*p - x*l - 9. Suppose -4*n + 105 + 125 = p*h, -3*n + 5*h = -140. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 2:18 PM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 906 divided by -3?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(3 - 4) - -16. Let h = b + -12. Let c(f) = 6 - f**3 + 6*f**2 + h - 12*f**2 - 2 + f. Calculate c(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79603, -310200, -694535, -1232614, -1924443, -2770028, -3769375, -4922490?\nAnswer: -6229379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -5*i - 269 + 242, 22*i - 5*g = -105 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 0*p + 0*p)*(-5 + 0 + p - 15) - 2*p**2 + 2*p**2 - 5*p**2.\nAnswer: -6*p**2 + 20*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 244037531 to the nearest integer?\nAnswer: 15622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 + 12*h + 18. Calculate the least common multiple of g(-6) and 104.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-483)\/(-49) - 1\/(-7). Let z be -1587*g\/15 + 4. Let c be z\/(-263) - (8 - 4). Is 1 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104272 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -30442 divided by 1\nAnswer: -30442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 6 = f, 2*f - 5 = -f + x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -403270 divided by -201635.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 v when four letters picked without replacement from {x: 4, f: 1, c: 7, v: 8}.\nAnswer: 196\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6, -14, -60, -144, -278, -474, -744?\n\"Answer: -2*m**3 - m**2 - 3*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 times 76.3909?\nAnswer: 9166.908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 499*i. Let r(y) = -25700*y. Give -257*h(k) - 5*r(k).\nAnswer: 257*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3413458157 to the nearest integer?\nAnswer: 58425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -65, -60, -55, -50, -45?\n\"Answer: 5*r - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1923*j + 3*x + 43 = -1930*j, 6 = -4*j + 2*x for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - 330 + 32 - 273.\nAnswer: q - 571","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8344 - -8348. Solve -4*i - 2*j = -i - 13, -l*j + 14 = 2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 47*k - 2*k**2 + 12 - 52*k + 4*k**2. Let v be b(4). Solve -4*a - 30 = 5*r, -2*a - v + 6 = 4*r for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 569770 to the nearest one thousand.\nAnswer: 570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18596*l**3 - 149796*l**2 wrt l?\nAnswer: -111576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-2)\/(-23))*((60 - 46) + -16)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuquuuququ. What is prob of sequence uquq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43.9284 * 186.\nAnswer: -8170.6824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**3*y**(-6\/11)*y)\/((y*y**(-11\/2)*y*y)\/(y*y**(1\/4))) assuming y is positive.\nAnswer: y**(317\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 447, 408, 369?\n\"Answer: -39*f + 486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1594 - 1594.1. Sort 12, 4\/7, n in descending order.\nAnswer: 12, 4\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z*(z\/z**0)\/z)\/z))\/z*z**(-3\/10)*(z**(2\/5))**(-29\/4))**(-1) assuming z is positive.\nAnswer: z**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.2 + -16.2. Let g = 17 + k. Put 0.1, -5, g in increasing order.\nAnswer: -5, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 7*z + 3. Let v be a(6). Let i be (7 + v)*(0 - -1). Suppose -4*h + 27 = -5*o, -4*h + 3*h + i = -4*o. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176 and 5475580?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254319?\nAnswer: 3, 13, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 109413 and 1116?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.599 + 0.799. Which is the closest to -1? (a) -44 (b) 4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 11*g**2 - 11*g - 8. Suppose 4*s - 2 - 6 = 0. Suppose 3*l - j - 63 = -2*l, -s*l + j = -27. What is a(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 722721833?\nAnswer: 17, 53, 802133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j + 3. Suppose 8 + 10 = 3*c - 3*k, -5*k - 15 = 0. Let t(u) = -2*u + c*u + 0*u + u. What is t(v(p))?\nAnswer: -6*p + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*q**3 - 188604*q**2 - 2*q + 241199?\nAnswer: -6*q**2 - 377208*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 30 - 66 = 0. Suppose 5*i = -13 - v, -4*u = 4*i - 4. Let l(q) = q**3 - 6*q**2 + q - 3. Determine l(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 + -3)\/(2 - (0 + 13)). Which is the nearest to 0.2? (a) 1\/2 (b) g (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-160)\/15*(-12)\/8. Differentiate 34 - 22 - 38 + z*w**2 wrt w.\nAnswer: 32*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365 - 435 = -16*z. What are the prime factors of z*((-84)\/(-20) - 3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x - 2*x + 4*x - 67105663*x**3 + 67105662*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52 - -114. Calculate the greatest common factor of 155 and r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwwwzwwzwzzzw. Give prob of sequence zz.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*k = 1654, -16 = 33*k - 37*k. Is 11 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 26 + 1 - (2 + -5) - 39.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 11*b - 11. Let g(l) be the first derivative of -l**2 + 73. Calculate m(g(p)).\nAnswer: -22*p - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325 a factor of 273399175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*f**3*p + f**3*u**4 - f*p + 32*f*u**4 + 5*p*u with respect to u.\nAnswer: 4*f**3*u**3 + 128*f*u**3 + 5*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 45\/253?\nAnswer: 45\/253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q - 3*q**2 - 3*q - q + 0*q + 7*q**2.\nAnswer: 4*q**2 - 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 20*m**2 - 30*m + 16. Calculate n(-19).\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 476 + -439. Calculate the remainder when (-3)\/(0 + -3) + 68 is divided by w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7397784?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + 2*o + 5, -o - 5 = -t - 0*o for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 240136600508 - -0.7\nAnswer: 240136600508.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 114*y + 33*y + 60*y to the form x + f*y and give f.\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 8, s: 2, y: 7, u: 1, p: 1}. Give prob of sequence ps.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1956 and 276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 11. Let h be l(-8). Suppose 5*i = -4*b + 76, 5*i - 81 = 4*b - h*b. Let o = -16 + i. Solve 4*v + v = o for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1411 + 43?\nAnswer: -1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (189\/45 - 4)\/(-1)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 767*w - 72 = 785*w. Let n(x) = -x**2 - 7*x - 33. Determine n(w).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-72)\/(-105) - (-3)\/((-21)\/2). Which is the closest to v? (a) -4 (b) 5\/4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3*y - 156. Let j be 12\/(-32) + y\/(-48). Which is greater: 1\/3 or j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85652 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5 + sqrt(147)*-2 + -2*(sqrt(147) + 1) - (5 + -2 + sqrt(147) + -2*sqrt(147)))**2.\nAnswer: 420*sqrt(3) + 1426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -87219058*c**3 + 14026*c**2 - 5*c + 46 wrt c.\nAnswer: -523314348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((4\/54)\/2 - 0). Is 7 a factor of (-18)\/d*(-7)\/2*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -978*v - 4367 - 8308 = 17643 for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -11*a**3 - 2*a + 7. Let r be (3\/9*3)\/((-2)\/16). Let z be 0 - (6 - 3) - r. Let c(i) = -5*i**3 - i + 3. Give z*c(q) - 2*s(q).\nAnswer: -3*q**3 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 3 + 0*f**2 + 0*f + 2\/3*f**3 - 3\/4*f**4. What is the third derivative of x(m) wrt m?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4918*m - 43575 = 993*m + 27357 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*m - 170*m - 69*m**2.\nAnswer: -69*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 31*h**2 + 3 - 5*h**2 + 38*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-3 - ((1 - -5) + -8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2 + 53. Let g(r) = -2*r. Calculate m(g(f)).\nAnswer: 12*f**2 + 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 869, 850, 831, 812?\n\"Answer: -19*h + 888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1967*g**2*w + 8*g*w - 147*g - 24651*w - 256 wrt g.\nAnswer: -3934*g*w + 8*w - 147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36\/11*m**2 - 2\/11*m**3 + 0*m + 0.\nAnswer: -2*m**2*(m + 18)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 5*v**2 - 7*v. Let h be q(-7). Let c = h - -103. Does 9 divide (c\/15)\/(1\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1363 times -14?\nAnswer: -19082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 650 = -56*u - 2486 for u.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11, -27, -43, -59, -75?\n\"Answer: -16*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 + 14*q + 7. What is o(8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -27. Let n be (3\/(-9)*x)\/((-2)\/(-9)). Let r be 25\/1*(4 - (6 - n)). Solve 4*t = -t + r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 257*a - 18. Is z(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1469*w**3 - 2937*w**3 + 1473*w**3.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2016)\/(-720)*(-750)\/(-350)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106, -1048, -3626, -8662, -16978?\nAnswer: -29396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6\/43 + -152\/473. Let b = -1 - -3. Suppose -5 = 3*w + b*w. Is w less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g - 5. Let f be o(-2). Suppose -f*l + 16 = 4. Solve 0 = -b + s, 4*s = -l*b - 0 + 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, -3, 28\/393 in descending order.\nAnswer: 72, 28\/393, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 793*k*t**2*u*v + 2*k*t*u + 2*k*t*v - 4*t**2*u + 47*t**2*v - 9*u*v - 27610*u wrt t.\nAnswer: 1586*k*u*v - 8*u + 94*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110505 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 4*u = -p - 12, 5*p + 3*u - 14 = 0. Solve k = -5*z - 21, p*k + 5 - 17 = 4*z for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5776 and 848?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {v: 3, k: 11}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 661, 72, 160?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.068 + -2.832. Let i = s + -1.1. Let d be (-40)\/(-64) + (12 - (-25)\/(-2)). Put i, 5, -1\/4, d in decreasing order.\nAnswer: 5, d, -1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 1:45 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 4 (b) -5\/114 (c) -5\/4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m - 5*m + 4*m + (47 - 93 + 55)*(25*m + 41 - 41).\nAnswer: 224*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -6 + 4 + 7*h - 1. Let t(y) = -13*y + 7. Let r(x) = -5*q(x) - 2*t(x). List the prime factors of r(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.381864 - 30.433\nAnswer: -39.814864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5999*-5.\nAnswer: -29995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**2 - 3*d**2 + 4*d**2 + 86*d**2 - 179 + 179 + (2 + 0 + 0)*(-2*d**2 - 3*d + 3*d) to the form p*d**2 + a*d + v and give p.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -g**6\/360 + 5*g**4\/6 - g**3 - 48. Let c(m) be the third derivative of h(m). Suppose 3*s = 4*s. Give c(s).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.47 times -994478\nAnswer: -467404.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4372223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -2) + -4 - (-10 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 11, d: 1}. What is prob of picking 1 d and 1 x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -59760 divided by 6\nAnswer: -9960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1396.7 + 109.7. Let q = u + 1287.00811. Round q to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9130 is divided by 81.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 883, 885, 887, 889, 891?\n\"Answer: 2*n + 881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -5 (b) 0.2 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3 = -0*t. Let w be (0 + -1)*t\/4. Let v(y) = y**2 - 4*y + 1. Let o be v(2). Which is greater: w or o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 386, 1202, 2374, 3896, 5762, 7966, 10502?\nAnswer: 13364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/7))**(-8\/11)\/(d*d**2\/d*d\/d**(2\/11))*d**(3\/4)*d**(2\/5)*(d*d*d\/((d**(-4\/7)\/d)\/d))\/d**(-2\/9) assuming d is positive.\nAnswer: d**(7757\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**4 + 21928*r**3 - 109568*r**2 + 153368*r - 65724 = 0 for r.\nAnswer: 1, 3, 5477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 42. Let h(x) = -488*x - 4315. What is the remainder when h(-9) is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -695*f**3 - 16*f + 508*f**3 + 16*f.\nAnswer: -187*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 555*d**4 - 13*d + 20?\nAnswer: 6660*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 51328*i - 11. Let l be h(8). Suppose 17*j - 587287 = l. What is j rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**3 - s**2 - 9*s + 2. Let w be t(4). Let n = 123 + w. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/20 and -42\/857?\nAnswer: 17140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -123 + 1?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*b + 10*b + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, o: 15}. Give prob of sequence ou.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 60 - 164. Let h = -2 + g. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -8098*x + 9. Let q be t(-5). Suppose -5*m - 79995 = p, -p - 39504 = -3*m + q. What is p rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -174*i - 486. Determine x(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 62897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - 3)\/(3\/(-3)). Let z(m) = 2 - 6 + y + 3*m. Suppose 4*h = -0*h - 16. Give z(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38 - 38 - 14*n**2 + 2 - n**3 wrt n.\nAnswer: -3*n**2 - 28*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1988689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 5:09 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*d = -1, 14*x - 4*d = 9*x + 111. Solve -x*g = -16*g - 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3042)\/1521)\/(12\/(-10)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2171, 2800, 1893, -550, -4529, -10044?\n\"Answer: -768*d**2 + 2933*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9953?\nAnswer: 37, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2\/5 - 16468*j\/5 - 13220928\/5.\nAnswer: -4*(j + 1093)*(j + 3024)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 309\/25 and -8.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*t + 3*i, -5*t - 15 = i + 3*i. Let s be 6\/(-21) - 58\/t. Is 7 a factor of (2 - s\/7)*14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 134\/153 - -70\/153. Find j such that -b*j + 0 - 4\/3*j**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 956811*g**5 + 18863*g**2 + 6*g?\nAnswer: 57408660*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (7 - (-3 - (22 - (9 - -3)) - -18))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16a0 (base 14) in base 11?\nAnswer: -3061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 829, 3, 5 in descending order.\nAnswer: 829, 5, 3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 + 96. Calculate the lowest common multiple of t and 22.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from yyyyyyjyybyyynb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 148883978 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -5*q + 13 + 12, 3*q + 5*i - 21 = 0. Suppose z = q*z. Find u such that u + 1\/2*u**2 - u**3 - 1\/2*u**4 + z = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 636 is divided by 128.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + r = 6*x - 11, 4*r = 5*x - 11. List the prime factors of ((-4270)\/28)\/(x\/(-6)).\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56012413*k**5 + 3*k - 14627955 wrt k.\nAnswer: 1120248260*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15\/3053 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -616 + 647. Calculate the highest common factor of 837 and x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5886*p + 2*p**3 + 17657*p - 5887*p - 5884*p.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a - 12*a**2 - 2*a + 6*a.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 10:12 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67 + 125. Suppose 0*q + 16 = 2*q - 4*d, -39 = -3*q + 3*d. Suppose 5*k - j = -q. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 2*a**3 - a - 34. Suppose 0*k - 11*k - 11 = 0. Give z(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 8:57 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**3 - 56*g**2 + 45*g. Let u(p) = p**3 - 35*p**2 + 30*p. Determine 5*h(s) - 8*u(s).\nAnswer: 2*s**3 - 15*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 6) in base 8?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y - 1 + 4 - 2*y + 4. Let s(p) = -p**2 - 6*p + 8. Let q(k) = -1. Let n(u) = -5*q(u) - s(u). Let x be n(-7). Give o(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 64?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*s = 17 + 13, -3*n - 5 = -4*s. Solve 6*c + n = 5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 25*h - 68 = 57, l - 3*h - 2*h = -25 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-5)\/(-10))\/((-2)\/(-712)) is divided by (64 + -70)\/((-1)\/3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -866 divided by -32?\nAnswer: 433\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mox when three letters picked without replacement from {m: 4, o: 1, z: 3, x: 10}?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14.1636 and -9265.\nAnswer: -9250.8364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1780, 2199, 2888, 3841, 5052?\nAnswer: 6515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/7 (b) -3164 (c) -4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -474.\nAnswer: -3\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3 + 20. Let m = i + -11. Suppose -2*y - 44 = -m*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**23*k**21)\/(k\/k**(1\/6)*k**(-3\/5)) assuming k is positive.\nAnswer: k**(1343\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 127, 199, 287, 397, 535, 707?\nAnswer: 919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one tenth of a second?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -7 - -5 - 2) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 405?\nAnswer: 40.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -786 (c) 5 (d) 3 (e) 0.4 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + 4*s + 96. Suppose -2 - s = 5*o. Let y = -8 - o. Solve y*m = 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddzq when four letters picked without replacement from {q: 1, d: 2, z: 1, u: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (y + 2*y - y)*(7*y - 10*y - 12*y)*(-8 + 4 + 11) as o*y**2 + l*y + v and give o.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*3*((sqrt(153))**2*6 - sqrt(17))*-2 + 5.\nAnswer: -30*sqrt(17) + 27545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - y + 21 = 19, 75 = w + 19*y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.4, 1, -3\/1115 in descending order.\nAnswer: 1, 0.4, -3\/1115, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -750399608 and 1?\nAnswer: 750399609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lbblbllbblbybyl. What is prob of picking 3 b?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243*2.\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 7 = 3*g, 0*g + y = -4*g - 16. Let q(a) = 3*a + 7. Let r(b) = -4. Let i(o) = -1. Let p(t) = -3*i(t) + r(t). Calculate g*p(s) - q(s).\nAnswer: -3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 4222?\nAnswer: -4227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7980\/(-560)*(-96)\/152.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 2:38 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*j + 20 - 2*j - 20 in the form k*j + s and give k.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 21, 6, 5 in descending order.\nAnswer: 21, 6, 5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 253 = 85. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 0 - 5\/33*i**4 - 45*i + 0*i**2 + 1\/110*i**5 + 25\/33*i**3. Factor x(z).\nAnswer: 2*z*(z - 5)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -16 - (-452 - -473)) + (-1 - -1).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*i**4 - 1 + 11*i**4 + 4*i**2 - 17*i**4 to r + z*i**3 + y*i + m*i**2 + q*i**4 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -6*s**3 - 4*s**2 - 2*s + 8. Let b = 18645 + -18641. Let v(j) = 5*j**3 + 3*j**2 + 2*j - 9. Determine b*v(t) + 3*y(t).\nAnswer: 2*t**3 + 2*t - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -22410?\nAnswer: 22415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -18*t**2 - 6*t. Let a(b) = 35*b - 37*b + 0*b. Calculate d(a(s)).\nAnswer: -72*s**2 + 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d. Let o(p) = 5*p. Let l(i) = 6*k(i) - 3*o(i). Let g(q) be the first derivative of 1\/2*q**2 + 0*q + 3. Give l(g(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1101.\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -10*i. Let t(x) = 17*x**2. Determine t(q(c)).\nAnswer: 1700*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 11*u - 14. Let q be s(8). What is the least common multiple of 20 and 4\/q*(10 + 0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**3 - 238*m**2 + 7268*m - 25392 = 0.\nAnswer: 4, 46, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 612816088 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0)**(-30)*y**(-13)*y**(-1\/4))**(-33) assuming y is positive.\nAnswer: y**(1749\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*d, -5*u + 458 = -0*u + 3*d. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 29536\nAnswer: 3\/7384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 15*j - 17. Solve -j*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 152*m**5 + 40*m**2 + m. Let v(c) = -458*c**5 - 121*c**2 - 3*c. Let q(j) = 7*g(j) + 2*v(j). What is the third derivative of q(z) wrt z?\nAnswer: 8880*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*h - 4*d, 3*h - 2*d - 18 = 2*d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*t - 25, -2*t - 6 = -5*v + 1. Suppose 3*s + t*z + 1 = 0, -2*s - 4*z - 4 + 2 = 0. Solve 0 = -p - 4*h - 3 - s, -5*p - 5*h = -10 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 10. Let d = -68091\/7 + 9727. Put -11, z, -2, d in increasing order.\nAnswer: -11, -2, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 387*c**3*z**2 + 25*c**3*z - c**3 + c**2*z - 2*z**2 wrt z?\nAnswer: 774*c**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from baaaaaabaabaaa. Give prob of picking 2 a.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -56*r + 72. Let k be a(1). Suppose 5*g + 5 = 20. Let p be 20*g*(-16)\/(-60). What is the greatest common divisor of p and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4*m - 11*m**3 + 2 - 2*m as p*m**2 + z*m**3 + k + i*m and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.6? (a) 2\/9 (b) 0.38 (c) -29 (d) 1\/5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - 19. Let g = h + -5. Let t = g + -13. Which is the closest to 0.01? (a) t (b) 0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28107 by 9369.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 908 - 790. Calculate the highest common factor of q and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*i = -6 - 0, 21 = 3*u + 4*i. Let s(d) = 2*d**3 - 4*d**2 + 6*d. Let l be s(u). Suppose -2*w = 4 - l. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -74540517 = -74540520?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 10*v. Suppose -4 + 2 = -2*w. Calculate the remainder when 19 is divided by n(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/710 and 6\/2485.\nAnswer: 4970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 797240*k - 7174755.\nAnswer: -5*(k + 9)*(k + 159439)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b57 (base 13) in base 6?\nAnswer: 31040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.507288 months to centuries.\nAnswer: 0.01292274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10097416787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -53*t + 4. Let h(z) be the second derivative of -216*z + 0*z**3 + 0 + 0*z**2 + 1\/12*z**4. Give h(j(o)).\nAnswer: 2809*o**2 - 424*o + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-24)*456\/(-171)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5820612 is divided by 2785?\nAnswer: 2747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 30*n - 106. Let k be d(8). Calculate the greatest common divisor of k and 469.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 4*g**2 - 12*g + 5. Let b be o(6). Let q(h) = -h - 2. Let t be q(b). Let r be 90 - -1 - (-7)\/t. What is the greatest common factor of r and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 0)*(-7*s + 3*s - 13*s**2 + 3*s).\nAnswer: 91*s**2 + 7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*m - 75 = 0, -2*m + 4*m = -6. Let z be (-6 + 210\/36)*u. Solve -2*a = z*a - 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + 46. Let s = n + -44. What is the third derivative of -2*y**2 + s*y**4 - 26*y**4 + y**2 wrt y?\nAnswer: -120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(-6 + 9 - 988). Let q = z - 503. What are the prime factors of q?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7887 - -63175\/8. Find the common denominator of (4 + 68\/(-8))*(-10)\/(-44) and k.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -1, -23\/6 in decreasing order.\nAnswer: 3, -1, -2, -23\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (98 - (-5 + 0 - (49 + -57))).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13102112000 - -1?\nAnswer: -13102111333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76.94 - -76.4. Let p = 1.79 - 1.99. Which is the third smallest value? (a) -1\/3 (b) p (c) u (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*(y\/y**(-15))\/y)*y**(2\/9)*y*y**5*((y**(-7\/6)\/y)\/y)\/y*y assuming y is positive.\nAnswer: y**(-215\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 14. Let m be c(-9). Suppose 5*u - 4*v - 60 = -0*u, 0 = 2*u - m*v - 41. Find the third derivative of -u*p**2 - 5*p**4 + 6*p**2 + p**4 wrt p.\nAnswer: -96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/3)\/(2\/(-6)). Suppose -27 = -b*x + 8. Suppose -k = p - x, k + 0*p - 4*p - 32 = 0. Calculate the lowest common multiple of k and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 445200967 to the nearest integer?\nAnswer: 21100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9850*v**3 + 223*v**3 + 26960*v**3.\nAnswer: 37033*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * -39\nAnswer: -3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a gram in milligrams?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -9*f + 6370. Suppose -211*k = -204*k - f. What is the remainder when k is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = -v + i, -4*i = 2*v - 2*i + 584. What is v rounded to the nearest ten?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 u when two letters picked without replacement from wtuox.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 32?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*k**3*u**2 + k**3 - 29*u + 5 wrt u?\nAnswer: -48*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 56996.81 or 0?\nAnswer: 56996.81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 20, 4*k + k + 9 = -y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-32)\/(-96))\/(1\/(-6)). Let y(f) = 6*f - 1. What is y(h)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/16)\/(7*8\/1)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.18 or -1\/32527?\nAnswer: -1\/32527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*b**3*u*x**3 + 3*b**3*u*x**2 + 3*b**3 + 315*u with respect to x.\nAnswer: -24*b**3*u*x**2 + 6*b**3*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -94, -283, -590, -1009, -1534?\n\"Answer: f**3 - 65*f**2 - f - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 - -0.09733913?\nAnswer: 76.09733913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23863 = -2*i - 9*i - 3546. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9345027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -2. Suppose -15*k + 9*k = -12. Suppose -k*v + 4*s = -s + 4, 16 = 3*v - 2*s. Calculate the remainder when d is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0*l - 4*l - 51 = 0, -5*l - 69 = -4*x. Let b = -7 + x. Let c = b - 13. What is the closest to 2 in 0, -6, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -81\/7 (c) 4\/5 (d) 2 (e) -3\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 4*d**2 + 14*d - 9. Determine w(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 2. Suppose -63 = -5*r - 3*z, 3*r - g*z - 30 - 4 = 0. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -a**6\/1440 + a**5\/480 + 8*a**3\/3 + 8. Let q(r) be the third derivative of d(r). What is x in q(x) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 - 13230*u**2 + 17348499*u - 7119227052.\nAnswer: 3*(u - 2436)*(u - 987)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -0.1102, 3, 7, 0.03, -2\/5, 0.2?\nAnswer: -0.1102","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1.13 + 2562197202129\nAnswer: 2562197202130.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**2. Let k(h) = -14539*h. What is c(k(s))?\nAnswer: -634147563*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 5*d**2 + 2*d - 5. Determine f(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -10. Let o = -5 + x. Which is the closest to 1? (a) -2\/5 (b) 1\/6 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2e9cc (base 16) in base 4?\nAnswer: -232213030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 4*c**2 - 3*c - 5. Let j be f(5). Let u(s) = 669*s - 146 - 157 + 307 + 3*s**2 - 670*s. Let g(i) = -7*i**2 + 3*i - 9. Calculate j*u(p) + 2*g(p).\nAnswer: p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-2)*((-6)\/(-21) + (-12818)\/7917)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**5\/60 - u**4\/6 - u**3\/18 + u**2 - 2369*u. Solve y(r) = 0 for r.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 10:14 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-35)*(-91)\/(-130)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 2*p - 57, -5*u + p - 26 = 0. Let g(o) be the third derivative of -o**6\/120 - o**5\/20 + 5*o**4\/24 + 4*o**3\/3 - o**2. Determine g(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 3:10 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 6 - 9 - 10*d**2 to o*d + g*d**2 + f and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 2 + 1)*(2*b + b - b) + b - 11 + 5 - 3)*(3*b - 5*b + b) + 0*b**2 + 3*b**2 - 4*b**2 as n*b + a + d*b**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 b when three letters picked without replacement from xxxxxxbxxxbxxbxxxb.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 338638 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knmho. What is prob of sequence mn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10147981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5 - 1 + 8*z**2 - 4. Let r(g) = 2*g. Give r(p(k)).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*w = 5, 0*b + 4*b + 2*w = 10. Solve 0 = 5*q - b*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13412 - 1?\nAnswer: -13413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0.025, 18516?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (57596\/77)\/(-34)*((-21)\/6)\/1\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 o when three letters picked without replacement from {m: 3, o: 2, l: 6, q: 2}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 1 = -6. Suppose -p*x = 2*x - 63. Solve 5*t + 0*y = -3*y - 17, 0 = 5*t + y + x for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 12:25 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 150*(-15)\/(-585) - (-2)\/13. Solve -s*j - 4*p = 16, -5*j - 6*p = -4*p + 23 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443 is divided by 427?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 1 = 2*b + 3, 2*l = -b - 1. Suppose -33*y + 38 - 5 = l. Let n = -0.1 - 0.1. What is the nearest to y in 0.2, -0.3, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1132132 - -5?\nAnswer: 1132140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*c = -80*c + 364 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -23*v + 208. Give s(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2 - 35*q - 6. Let n be s(-17). Suppose -101 = -n*j - 35. Solve 5*w = j*w + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3709, 3692, 3663, 3616, 3545, 3444?\nAnswer: 3307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -47\/2 (b) 0.4 (c) 0.16 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 162\/(-891)*(-11)\/13\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + v - 141 = 220, 4*g = 3*v + 357. What is the highest common divisor of 6570 and g?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -615.1125 + 0.1125. Let o = 613 + n. Let l be ((-2)\/(-10) - 0)\/(-1). Sort -1, o, l, -4 in increasing order.\nAnswer: -4, o, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -122 in 0.5, -7, 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1620340*g*k**5 + 333290*g*k**2 + 4*g*k + k**5 wrt k?\nAnswer: 97220400*g*k**2 + 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*v + 12*v**3 + 21*v + 9*v wrt v?\nAnswer: 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5530, -5495, -5464, -5437, -5414?\n\"Answer: -2*h**2 + 41*h - 5569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 9*y. Let p(c) = 5*c**2 + 6*c + 6. Suppose 3*k - 2*k = 2. Let d(n) = k*n**2 + 6*n + 2*n**2 - n + 5. Let m(b) = 6*d(b) - 5*p(b). Calculate m(w(o)).\nAnswer: -81*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2721518 rounded to the nearest one hundred thousand?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + -0.3. Let m = 19 + -14. Let i be (-3)\/2*56\/21. Which is the closest to 0.2? (a) i (b) o (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 831496?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 9 = s. Let x(g) be the second derivative of 2*g**s - 3*g**3 - 5*g**2 + 4*g**2 + 9*g - 2*g**2. Find the first derivative of x(t) wrt t.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9993996 and 2997.\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 4. Let i(o) = -o**2 - 20*o + 47. Let d be i(-22). Suppose 16 = x + d*x + g*n, -2*n = 4*x - 14. Solve 3 + 0 = x*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -10*i - 24. List the prime factors of r(-7).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*l**2 - 80*l**2 + 17*l**2 + 15*l**2 + 15*l**2.\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*k**3*q*x + 1223*k**3*q + 41118*k**3*x + k**2*q wrt x?\nAnswer: -6*k**3*q + 41118*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -152*x + 2*x**3 + 152*x + 42*x**4 + 0*x**4 + 33*x**2 wrt x.\nAnswer: 1008*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*f + 5 - 103 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7619? (a) -2 (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1133 + 0.1884. Let w = n - -0.0249. Which is smaller: w or -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2707 minus -48752877?\nAnswer: 48755584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2. Let k(u) be the second derivative of u**3\/6 - u - 21. Determine y(k(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 30*z**4 + 32 - 41 - 46 wrt z.\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1531*s**2 + 738*s**2 - 746*s**2 - 6 + 4 + 2*s.\nAnswer: -1539*s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8352988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -2. Suppose a*r - 266 = 7*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -3615, 1, -2\/21, -0.29?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2. Let b(h) = h**2 - 1. Let i(o) = -4*b(o) - 2*d(o). Let s(p) = -3*p**2. Calculate i(s(l)).\nAnswer: -36*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -2*j**3\/3 - 9*j**2 - j + 16. Let s be l(-8). Let a be -20*(9\/(-30))\/(18\/s). Solve x - a*x + 4 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -8*x - 44. Let a(t) = 4*t + 21. What is -5*a(i) - 2*u(i)?\nAnswer: -4*i - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d - 147 = 6*d. Let o(l) = -6*l - 2. Let s(r) = 10*r. Let t(n) = 3*o(n) + 2*s(n). What is t(d)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/24)\/(5\/(-20)). What is the closest to 6 in -1, 3, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**4 + 37*n**3 + n**2 + 2935*n wrt n.\nAnswer: 24*n**2 + 222*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38997 and 252.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 684 = 5*f + 2*r - 364, 0 = 3*f + 4*r - 626. Let u = f + -207. Solve -2 = 5*q - 0*l - u*l, q = -4*l + 18 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1519356?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -2*d**7\/63 - 44*d**6\/45 - 59*d**5\/15 - 38*d**4\/9 - 310*d + 11. Suppose b(h) = 0. Calculate h.\nAnswer: -19, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 54*b - 39. Is c(15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 2*z**2 + 8*z + 7. Calculate the smallest common multiple of 22 and k(3).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*w**4 + 17*w**2 - 6*w**2 + w**4 + 3*w**4 wrt w.\nAnswer: 144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a meter in centimeters?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -7*q**3 - 9*q**2 - 19*q + 12. Is z(-5) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*(-2*4*(0 + sqrt(320) + sqrt(320))**2 - (sqrt(320) + -1*sqrt(320) + -2 + sqrt(320) + -1 + 4)**2).\nAnswer: 80*sqrt(5) + 52805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 74\/5 of a microgram?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-10)*(-626)\/(-313)*(-170)\/8.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.876 (b) 3 (c) -4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -8*w + 47. Solve 5*r + 3 = w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/30 - (-5)\/2. Is 0 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16231 + 16231.058. What is the second smallest value in -1\/3, f, -0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**5\/10 - 2635*x**4\/6 + 3387*x**3\/2 - 9428*x. What is the second derivative of u(l) wrt l?\nAnswer: 12*l - 10540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21760045?\nAnswer: 5, 4352009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 3*v + 3*v + 17 - 5*v - v**2 + 6*v. Calculate i(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1115\/42 + -1849\/70. Let d = 0.1 + -0.1. Put q, -2, -3, d in decreasing order.\nAnswer: q, d, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 99.2 - 99. Let o = 53\/20 - 9\/4. Let n = -0.5 - 0.5. Put o, g, n in increasing order.\nAnswer: n, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6194578, 6194137, 6193694, 6193249, 6192802, 6192353, 6191902?\n\"Answer: -q**2 - 438*q + 6195017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 4*o**2 - 3*o - 1. Calculate z(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -44, 5, -1, -28098.\nAnswer: -28098, -44, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/1459 + -59879\/29180. Let l = 163029 + -17933067\/110. What is the common denominator of d and l?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -110 + 217. Let f = h + -107.06. Which is the closest to 0? (a) 0.2 (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of (-256)\/576 - 8950\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 504144*g = 504170*g + 340 + 544 for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3007, 9621, 20643, 36073, 55911, 80157?\nAnswer: 108811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 456\/30 - 36\/30.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/22 - (-57)\/132.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.960708 to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h - 7*h - 11*h + 5*h.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -635760 (base 8) to base 2.\nAnswer: -110011101111110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1353*p**3*r + 9*p**3 + 3*p**2 + p*r - 8*p wrt r?\nAnswer: 1353*p**3 + p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(496\/6)*2*696\/522\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-54)\/15 - 2\/5 - 7. Let x(a) = -a - 6. Let n be x(d). Solve -4*u + 7 = -n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 15 = 4*j, -3*j - 2*d = -d + 13. Suppose 4*n - 4 = 3*n. Sort -1, n, j in decreasing order.\nAnswer: n, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 52\/16 - 2\/8. Suppose 79 = y*j + 7. Let f = -311 + 317. Calculate the least common multiple of j and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26221255559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 146407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 762354949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*k, -3*d - 14 = 4*k - 31. Suppose 100 = -5*t + 5*j, -5*t + 0*j = -2*j + 94. Let g = -14 - t. Calculate the smallest common multiple of d and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -468 + 379. Calculate the remainder when (-9 - (w + -1)) + -9 is divided by 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1143 = 133*q + 4001 + 467 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/2*16*12\/1920.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 230 or 231?\nAnswer: 231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 211 = -11*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4f + -12c402?\nAnswer: -12c3b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 4 = -b + 3*b, 0 = 3*r - 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (26 - -26)\/(-13) + (16 - 1). Let n be (-212)\/(-18) + (-8)\/(-36). Suppose 4 = n*y - r*y. Solve k - 6 = 3*c + 4, -24 = -y*k + 4*c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40.546 - -0.554. Let f = w - 41. Which is smaller: 1\/17 or f?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6213542880 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/67672 and 131\/55368?\nAnswer: 609048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 24457585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28252168?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 2598.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + r + 2*r + 3366 = 0, 2229 = 2*g + r. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 3*y + 4. Let o be (-1 - (1 - 0)) + -2. Let u be c(o). Solve 3*t - 3*x = u, -t + 0*t - 12 = -5*x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*a + w + 24, 3*w = 4*a + 28. Let v = -1275 + 7703\/6. Find the common denominator of 2\/a + (-236)\/(-36) and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -529 = -15*h - 169. What is the remainder when h is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2*d + 0*d = 4, -4*z + 2*d = -14. Suppose 0*t - 4*t = -312. Calculate the lowest common multiple of z and t.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**8\/80 - 2*s**7\/35 - 11*s**6\/120 - s**5\/20 - 9*s**3 - 14*s - 2. Let m(f) be the second derivative of i(f). Factor m(n).\nAnswer: -3*n*(n + 1)**2*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -15*i - 16. Let s(h) = 4*h + 4. Let d(q) = 2*r(q) + 9*s(q). Find the first derivative of d(v) wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -457152831 rounded to the nearest 100000?\nAnswer: -457200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 2*h + h)*(h**3 + 2*h - 2*h).\nAnswer: -h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -12. Let j = 1 - 0.8. Let q = j - -2.8. Which is the smallest value? (a) -0.1 (b) q (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1762, -821, 142, 1139, 2182, 3283, 4454, 5707?\nAnswer: 7054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 120\/17 or 0.1?\nAnswer: 120\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(132)\/(sqrt(33)\/sqrt(3)) + 1*sqrt(108)))\/((sqrt(24) + sqrt(288)\/(-2*sqrt(12)))\/(sqrt(108)\/sqrt(3))).\nAnswer: -144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-190))\/(18603\/1430 - 13). Let h = -260 - -257. Are k and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*w + 96 - 1140 = 24*w for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7920 and 15984?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -110 - -68. Let j be q\/56 + 63\/4. Factor -6*r**2 + 15*r - j*r + 2*r**3 - 23*r**3.\nAnswer: -3*r**2*(7*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 - 6*i + 10. Let h be u(5). Let x = 30 - h. Suppose -5*y + q + 179 = x, 4*y - 2*q = 204 - 56. What are the prime factors of y?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 208 - 204. Solve p - l*z + 0*z - 15 = 0, -5*p + 4*z = 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-4)\/(-12)*(6\/31)\/(180\/12)?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2. Let t be 3\/(-12)*(-19 - -3). Let z(b) be the second derivative of b + 0*b**3 + 0*b**2 + 0 + 1\/4*b**t. What is z(r(f))?\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51440.4 + -51440.2600006. Let l = -11.86 - -12. Let y = g - l. Round y to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -6*k + 3. Suppose -3*z - 4*t = -z + 18, -t - 18 = 2*z. What are the prime factors of u(z)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 70*b + 286. What is w(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8a + -1704?\nAnswer: -1625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111 (base 3) in base 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-10)\/(-190))\/((-9)\/90*5)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -0.2 (c) 0 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -527 by 17.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 2. Let r be o(-6). Let h = 35 - r. Let x be (h\/(-2))\/(6\/(-16)). Which is smaller: x or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 248618 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 683 - 673. Let z = 4 + 4. What is the third derivative of 15*j**2 - 36*j**2 - z*j**3 + s*j**2 - 6*j**3 wrt j?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.831 and 131.\nAnswer: -370.861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, -185, -565, -1097?\nAnswer: -1781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1211010 (base 3) to base 12\nAnswer: -926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.11 - -0.08. Let s = q + 0.23. Let j = 1.1 + -1. Put j, s, 2 in increasing order.\nAnswer: j, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 447086909 to the power of 1\/3, to the nearest integer?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392788108?\nAnswer: 2, 98197027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3634 - 3635. Let q(x) = 3 - 4 + 2 + 4*x**2. Determine q(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**2 - 37412*x + 299451. Determine o(8).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7204568 and 2959019.\nAnswer: 165705064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 143 + -113. Find the first derivative of 34 - 100*c**4 - 9 + s*c**4 + 15 wrt c.\nAnswer: -280*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 3*d + 8. Let a(i) = -4*i**2 - 5*i - 4. Let w be a(-2). Let s = 16 + w. Give y(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 498 = -1076*o + 1024*o - 70, 4*o - 4*r = 20 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26398225619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385*b - 113*b - 3510 = -108*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - t. Let z(d) = d**3 + 4*d**2 + 2*d - 6. Suppose 0 = 2*f + 5*i - 4, -4*i + 3*i = 5*f + 13. Let h be z(f). Determine l(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/(30745\/(-86)) - (-1810)\/(-65)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 1891.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175352 and 4968.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3.473866ng?\nAnswer: 0.003473866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, z: 3, n: 2}. What is prob of sequence ez?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y**5 + 10*y**5 - 2*y**5 + (-4 + 2*y**2 + 4)*(-3*y**3 + 2*y**3 + 2*y**3) + 6*y**5 + 20*y**4 - 20*y**4 + y**5 - 2*y + 2*y.\nAnswer: 12*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-1)\/(-2)*-6. Suppose -3*d + u*d - i - 29 = 0, d - 19 = 5*i. Solve -4*l = -d - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/12*14\/231?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 189837988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((195\/18)\/(-13))\/((-1730)\/4671)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6 = 9. Let n(p) = -p + 11. Suppose 3*f - 24 = 9. What is the remainder when f is divided by n(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -0.059 (c) 3 (d) -4 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 22*f**2 + 19*f - 27. Calculate x(-21).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.33 (b) 5 (c) -91 (d) 2769\/4 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/940 and 133\/4193904.\nAnswer: 20969520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/7 (b) 4 (c) 1 (d) 15 (e) 0.2 (f) -1824.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/6 - 101*g**2\/2 - 15359*g\/6 - 5019\/2.\nAnswer: -(g + 1)*(g + 63)*(g + 239)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dtridfrrdfdrdryrtd. Give prob of sequence ddiy.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -654*g**2 + 2*g - 11. Let q be k(2). Let c = -1741 - q. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5 - 17 = 0. Let o be 2*t\/(-8)*-4. Solve o*v + 15 = n, v + v = 2*n for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-12))\/(4*(-2)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39608 and 945641.\nAnswer: 7565128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d - 2. Let h(j) = j**2 + 19*j + 9. What is 2*h(k) + 9*q(k)?\nAnswer: 2*k**2 - 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.704299549 to four decimal places.\nAnswer: -0.7043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**3\/2 - z. Let c(s) = 2*s**2 + 4. Let a(i) = -i**2 - 3. Let h(w) = 4*a(w) + 3*c(w). Give h(k(x)).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2956, -2737, -2372, -1861, -1204, -401?\n\"Answer: 73*c**2 - 3029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, k: 4, g: 1, w: 5, m: 2}. Give prob of picking 1 a and 2 k.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 775 + -527. Suppose 4*c - 4*b - 18 - 206 = 0, -4*c + t = 2*b. Let a = c + -24. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115031 is divided by 967?\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13109\/150 + 437\/5. Suppose -4*f - k + 2 = 0, 6*f - 5*k - 14 = -k. Which is greater: u or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -193*b**2 - 9651*b - 40. Give x(-50).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 253*l**3 - 84*l**2 + 13*l - 9. Determine r(1).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 454*k + 2718. Is r(9) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 623*u**2. Let o(y) = -5*y. Give o(n(q)).\nAnswer: -3115*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 219 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**6\/120 + s**5\/60 - s**4\/24 - 1673*s**2. Let r(d) = 18*d**3 - 4*d**2 + 7*d. Determine -r(o) - 5*u(o).\nAnswer: -13*o**3 - o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 283907923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 4 = 7*c. Calculate the remainder when (-4 - -6) + (24\/1)\/c is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 81, 659, 1631, 2997, 4757, 6911?\n\"Answer: 197*q**2 - 13*q - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 16*j = 6*j + 3800. Calculate the lowest common multiple of 900 and j.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, -6, -5, -0.02, 115?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*y - 48. Solve 0*h - y = 4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 (base 13) in base 9?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*x + 116 - 468, 0 = -3*n + 6. Suppose -3*f + 5*k + 16 = -180, 3*f = -3*k + 228. Calculate the least common multiple of x and f.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21224471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56802488 to the nearest integer?\nAnswer: 7537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259021784?\nAnswer: 2, 7, 4625389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence va when two letters picked without replacement from {y: 1, z: 1, a: 1, w: 2, d: 1, v: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32510 or -32573?\nAnswer: -32573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 11*d + 8. Let i(z) = -10*z. Let f be i(1). Calculate the remainder when 35 is divided by n(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262128827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2553 - -2553.1. Let i = -764 - -1499\/2. Let n = -117\/8 - i. What is the second smallest value in -1, n, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -762, -3036, -6810, -12072, -18810, -27012, -36666?\nAnswer: -47760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 120 - 74. Suppose 0 = -5*t + 7*t - w. Is 23 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 p when three letters picked without replacement from ffpppfp?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9a - -3565?\nAnswer: 3621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-2 - -1 - 1). Suppose -3*y - 82 + 463 = q. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42758 (base 10) to base 2\nAnswer: 1010011100000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/3 - 3388*v**2\/3 + 16990*v\/3.\nAnswer: -2*v*(v - 5)*(v + 1699)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 + 50. Let u(g) = g**3 - 11*g**2 + 18*g + 9. Let d(p) = -p + 7. Let k be d(-2). Calculate the least common multiple of y and u(k).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -135, -150, -179, -228, -303?\n\"Answer: -n**3 - n**2 - 5*n - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.695 + 9.595. Which is the closest to o? (a) -9 (b) 4 (c) -2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 44*l**3 + 3*l + 37. Let v(r) = -87*r**3 - 5*r - 72. Let g(j) = 10*f(j) + 6*v(j). Differentiate g(x) with respect to x.\nAnswer: -246*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 268*c**2 + 2*c - 4. Let u(r) = -268*r**2 - 2*r + 3. Calculate 4*d(o) + 5*u(o).\nAnswer: -268*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.15 - 3.85. Which is the closest to -0.1? (a) 0.2 (b) m (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1003918, -1003689, -1003446, -1003183, -1002894, -1002573?\n\"Answer: o**3 + o**2 + 219*o - 1004139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -31, -56, 3, 5 in increasing order.\nAnswer: -56, -31, 0.5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, u: 1, a: 2, m: 5, s: 1, n: 2}. Give prob of sequence nuan.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 14) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1)*s\/s**2*s*s*s*s**(-3)*s**(-3)*s*(s**19)**17 assuming s is positive.\nAnswer: s**319","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -169*m - 11. Give j(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 29 = 4*j, -5*j = -4*d + 3*d. What are the prime factors of 18*(d + -4 + 642\/12)?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 + 64. Let p be (6\/(-4))\/(j - 6\/(-8)). Let m = 0 + -8. Sort 0.2, m, p.\nAnswer: m, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128640967 plus 3?\nAnswer: -128640964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/42*-3 + 6\/14. Let j(y) = y**2 - y - 1. Let s(w) = -6*w**2 + 2*w + 23. Let u(z) = t*s(z) - 5*j(z). Let k be u(-6). Solve 0*q - 3*q = k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 8:42 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 + 27134231?\nAnswer: 27134246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(sqrt(40) - sqrt(10)) + sqrt(17) - 4*-2*sqrt(17).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s + 4. Let g be o(6). Let h be 16\/(-56) - 88\/g. Let j be 7 + (2\/2 - 2). What is the greatest common factor of j and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 12*l - 6. Let z be f(5). Let u = 50 - z. Which is the second smallest value? (a) 5 (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 270.4, 2\/29, -0.4, 0?\nAnswer: 270.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 10494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - (-5 - (-10 - -11))) + (71 - (-10 + -1))\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)*2 - sqrt(126))\/(5*sqrt(14)\/sqrt(2)).\nAnswer: 3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(60\/8)\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeyeeeyeeeeeeeyeeee. What is prob of picking 3 y and 1 e?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -40. Let q = k - -40. Suppose 5*i + q = 4*l, 2*i + 8 = 2*l - 0*i. Solve -o = l*v - 4, -2*o + 5 = -3*v - 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t*t**29*t\/t**5 assuming t is positive.\nAnswer: t**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**5\/690 - 41*f**4\/69 - 55*f**3\/23 - 3*f**2 - 149. Factor y(a).\nAnswer: 2*(a - 165)*(a + 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.1, -16, -0.2, -2\/3, 1\/5 in decreasing order.\nAnswer: 1.1, 1\/5, -0.2, -2\/3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-1) + 31\/30. Let j(x) be the third derivative of 0*x**4 + 1\/3*x**3 + 0 + 0*x - x**2 - k*x**5. Factor j(c).\nAnswer: -2*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6876 (base 9) to base 7.\nAnswer: -20562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*l = -15*l - 16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -159 + 162. Let i = -0.08 - 4.92. Put t, i, 2 in descending order.\nAnswer: t, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 739848*q**2 - 739819*q**2 + 0 + 0. Let r(n) = -36*n**2. Give r(p(s)).\nAnswer: -30276*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1509379 and -53\/14019.\nAnswer: 4528137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -13\/6*z**3 + 0 + 0*z**2 - 1\/120*z**5 + 0*z**4 - 5*z. Let d(g) be the second derivative of w(g). Let a(f) = f. Give a(d(b)).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 2*w - 0 - 2, 0 = 3*c - w + 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77 - 53. Suppose -2*o - 2*r = -116 + i, 5*o = 2*r + 195. What is the remainder when o is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k**2 - 206 + 34*k**3 - 10*k**2 + 206.\nAnswer: 34*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**2 - 4948*x + 440320 = 0?\nAnswer: -2560, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ivvib. What is prob of sequence iib?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-2) + 9 + -7. Solve q + 12 = -5*n + 4, 0 = -z*q - 2*n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*a**3 + 2984*a - 2984*a)*(-7*a - 15*a - 12*a)*(-4*a + 6*a - 3*a).\nAnswer: -1598*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 8*i**2 - 4*i - 28. Let k be x(-8). Solve -k*t = -2*t + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 216212 and 6179588.\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1113)\/2597)\/((-1)\/(-28))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6900 and 225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -67*p**5\/60 + p**2. Let f(b) be the first derivative of -3*b**2\/2 + 13129. What is n(f(a))?\nAnswer: -603*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4173235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72.91 + 62.21. Sort -2\/3, -1, q in ascending order.\nAnswer: q, -1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33524 divided by -33524.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0)**(11\/4)\/(w**(2\/5))**(-37))\/((w*w*w\/w**(-2\/9)*w\/((w\/w**(2\/23))\/w))\/(w\/w**(-6\/7)*w**6)) assuming w is positive.\nAnswer: w**(132931\/7245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 625886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*z - z + 26, z = l + 13. Let a = -8 - l. What is the smallest common multiple of a and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131 = 4*i - 2*d - 117, 3*i + 13 = 4*d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = i + 7, -3*i - 18*h - 17 = -13*h. Which is smaller: i or -2\/41?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2. Let d(t) = -519*t. Give d(c(g)).\nAnswer: -519*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -27?\nAnswer: -8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q\/(((q*q**(-1\/9)*q*q)\/q)\/q))*q\/(q*((q\/(q**8*q*q))\/q)\/q)*(q*q**(-1\/4)\/q*q)**34 assuming q is positive.\nAnswer: q**(655\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4763, 4764, 4765, 4766, 4767, 4768?\nAnswer: 4769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/6 and 156\/(-40) + (-6)\/8 + 1.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -l**6\/360 + l**5\/30 + l**4\/6 - 4*l**3 - 11. Let c(k) be the third derivative of f(k). Calculate c(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4 + 27\/6. Suppose 3*u + 2*u - 35 = -4*s, 0 = -h*u - 5*s + 37. Calculate the remainder when u is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 4 + 1. Let j = -921\/5 - -183. Are j and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 + -2 + 23313\/741\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41.79 - -42. Let c = -3.21 + l. Sort -0.06, -1, c in increasing order.\nAnswer: c, -1, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76615.2 millennia in centuries?\nAnswer: 766152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*h - 23*h - 58*h - 1045 = -104*h for h.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1808 + -5663. Let g = -69373\/18 - n. Calculate the common denominator of g and -101\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1488c4 (base 15) to base 7.\nAnswer: 11264542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 - 7*z + 6. Let j(l) = 2*l + 10. Let w be j(-8). Let d be k(w). Let t be -3 - d\/(2*-2). Calculate the greatest common factor of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -26*s - 2. Let t be j(6). Let d = -39 - t. Suppose 55*c = -49*c + 159*c - 935. Calculate the highest common divisor of c and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34401790 and 13055.\nAnswer: 1865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 29 + 115 + -48 + -47\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 111\/44, 2\/11, 1\/3, 7\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 8:55 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -9*c + 200. Let z be d(22). Solve z*a - 3*l = 3, 11*l = -2*a + 13*l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73571473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -562\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -25004, -25019, -25036, -25055?\n\"Answer: -d**2 - 12*d - 24991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -10. Which is greater: v or -16.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -195 + 3*i + 195 + (-5 - 1 + 4)*(3 - 4 + 2)*(-15 + 8 - 2*i - 10).\nAnswer: 7*i + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-10) + 314\/10. Suppose b - u = 17. Let r = b - 28. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37948\/1215 - 8\/243. Factor b*x**2 - 32*x + 48\/5 - 36\/5*x**3.\nAnswer: -4*(x - 3)*(3*x - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 687073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -387764450\/7 or -55394920?\nAnswer: -387764450\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*b + 26, -10*l = -5*b - 6*l + 107. Solve b*s + 45 = 34*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57703 - 0.04?\nAnswer: -57703.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-2\/9))\/l*l**(-2\/7))\/(l**2*l*l\/(l**6\/l)*l))\/(l**(-2)*l**(-2\/13)\/l*l)**(-28) assuming l is positive.\nAnswer: l**(-49808\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11682 + 2149431\/184. Calculate the common denominator of c and -63\/16.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 5*s**5 + 530*s**4 + 2545*s**3 + 2020*s**2 = 0.\nAnswer: -101, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 136 + -26. Does 26 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**2. Let y(j) = j. Let i(n) = 5*n. Let r(t) = i(t) - 4*y(t). Calculate l(r(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*l + c, 0*c + 10 = 4*l + 3*c. Let k = -12 + 17. Suppose -3*x - x = 16. Put l, k, x in descending order.\nAnswer: k, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -91*i + 382*i + 151*i + (-i + i + i)*(-3 + 3 - 2).\nAnswer: 440*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(5\/3)*z\/z**(1\/12)*(z*z**(-33))\/z**13)**46 assuming z is positive.\nAnswer: z**(-11431\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/14)\/(((-900)\/(-105))\/15)*26.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f + 48 = 5*v, -5*v + 33 = 4*f. Let x = 151035\/4 - 37750. Which is greater: x or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2304*c**2*o**5 - c**2*o**4 + 2*c**2 - 2*o**2 - 96*o wrt o.\nAnswer: 138240*c**2*o**2 - 24*c**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -0.21?\nAnswer: -1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -65184029.028 + 0.2\nAnswer: -65184028.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (5348\/(-36099))\/(224\/63)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 8 = -1. Let q(c) = -c**2 + 4*c + 8. What is the remainder when q(0) is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 3*a**2 - 42*a - 139. Let m be r(-3). Are -214\/15 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.3021ml to litres.\nAnswer: 0.0073021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*b + 23*b + 70*b - 2*b.\nAnswer: 123*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 34. Let f = -7 - z. What is the remainder when 13 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*f**3 + 176 - 176.\nAnswer: 19*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/14)\/(((-4002)\/203)\/(-69))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x + 205 = 21*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 9:25 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o = 23*o - 10. Let q = o + -7. Calculate the smallest common multiple of q and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -b**5\/40 - 31*b**4\/24 + 29*b**3 + 131. Let v(h) be the third derivative of r(h). Calculate v(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 161.2 - 3695228535\nAnswer: -3695228373.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 14 = 44. Let r be 2 - (1 - l\/5). Factor 2\/7*s**3 + 2\/7*s**r - 2\/7*s - 2\/7*s**2 + 0.\nAnswer: 2*s*(s - 1)*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29937965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/6729 + -20183\/13458. Which is the third biggest value? (a) 3\/2 (b) -0.3 (c) m (d) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4 + 3*n**3 + 6*n + 8*n**2 - 4 - 2*n**3 - n**2. Let r be l(-6). What is the units digit of (-4 + r)\/(-1*1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 278 = -g - 5*q + 248, -2*g + 4*q + 6 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 16*j**2 - j - 8 + 27 - j.\nAnswer: -16*j**2 - 2*j + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (-6 - 0\/3). Which is smaller: -1\/4 or s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24.2 and -5?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-27) + 80\/36. What is the derivative of -8*n - 2*n**2 - 120 + 4 + 3*n**u wrt n?\nAnswer: 2*n - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d**2 + 3*d**2 + 0*d**2)*((69 - 25*d - 69)*(3 - 4 + 4) + 2*d + 2 - 2 + 3*d + 0*d - 4*d - 3*d + d - 2*d + (-2 + 0 + 4)*(3 - 3 - 2*d)).\nAnswer: 164*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11000111010111 (base 2) to base 4\nAnswer: 3013113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -622\/3 - -206. Let r = 1072 + -1071.5. Which is the nearest to -1? (a) j (b) 4 (c) 0 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -8*z - 2062288 + 2062288. Give s(8).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43 - z - 4*z**3 + 0*z + 3 + 109 + 3*z to the form t + j*z + s*z**3 + u*z**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14181.1731 - 14189.1630949. Let a = x - -8.87. Let p = a + -0.88. What is p rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-10 - -6) - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3363 + 3364.2. Sort -12, 2\/7, c, 4, -2 in increasing order.\nAnswer: -12, -2, 2\/7, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 362\/2353 - ((-3)\/39)\/((-6)\/12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -14, 38, -3?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 632487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 573543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a week?\nAnswer: 72576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of 155*n**8\/168 + 847*n**4\/24 + 54*n**2. What is the second derivative of s(u) wrt u?\nAnswer: 6200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70 - 68. Let u = -37 - -24. Let y = 13.1 + u. Which is the closest to d? (a) y (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17084 or -17083?\nAnswer: -17083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 555 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 190.5 + -187.155. Round q to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1975*t - 1950*t = 2275. Calculate the highest common divisor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -4. Find the second derivative of -5*o**c + 3*o + 8*o**5 - 5*o**5 + 5*o**2 wrt o.\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34892 is divided by 1010?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/4 of a microgram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**5 - 6*z**4 + 5*z**3 + 12*z**2 = 0?\nAnswer: -1, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4402 is divided by 1100.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 29*x**2 + 2. Is j(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -3 - 9) + 1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 4*t + 16, -4*u + 5 = -3*t - 9. Suppose -4*c - 14 + 86 = 4*b, 3*c = u*b + 44. Suppose 2 = d - 0*d. Solve c = 2*k + d*k - 2*f, 5*k - 3*f = 21 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 10*f - 10. What is the units digit of l(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4274, 4261, 4260, 4271, 4294, 4329?\n\"Answer: 6*n**2 - 31*n + 4299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12568*k**3 + 12617*k**3 - 25177*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(1\/47)*i)\/(i*i\/(i\/i**(13\/4))))\/(i\/i**(2\/7))**(-4\/5))**(5\/12) assuming i is positive.\nAnswer: i**(-3635\/5264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/32681269 + -120234389383\/11961344454. Let f = 7\/61 - n. Calculate the common denominator of f and -151\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/16 in 0, 8\/3, -4, -3660?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 215895 and 1110.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -20*z**3 - z**2 + z + 1. Determine h(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*k - 74*k - 105 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -675928 divided by -271.\nAnswer: 675928\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*p - 34, 0 = -5*p - 0*p - g + 62. Let v be p\/14*(0 + 7). Calculate the greatest common divisor of v and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 17. Let j(g) = -2*g + 15. Let t(v) = v - 7. Let d(l) = -3*j(l) - 7*t(l). Let b be d(m). Let u(r) = r**3 + 7*r**2 + 5*r - 4. Calculate u(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3973*i - 147046. What is z(37)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 3766047\nAnswer: 3766047.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/14)\/(((-62)\/(-1519))\/((-4)\/16))?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/4041 and 13\/41308.\nAnswer: 371772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2185 - -30642. What is the remainder when m is divided by 102?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*s + 56 + 69 - 206 + 56 + 56 in the form w*s + k and give k.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 754983265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -10.72.\nAnswer: 10.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -3. Let i be (-3 + 1)*((-235)\/55 + 4). What is the third biggest value in i, o, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*w + 16*w + 54. What is the remainder when w is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -57*v**3 - 5*v**2 - 11*v - 9. Let o be c(-3). Suppose -3*q - 1038 + o = 0. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a4 (base 15) to base 13\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**3 + 2*s**2 - s + 4. Let i be j(0). Calculate the common denominator of (-218)\/(-12) - (-4)\/(-4) and (-6 - -9) + (-206)\/i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1523 - -16212. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 5:56 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -5, 0, 75.8, -55\/6, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11808 + -11806.1. Is 921 at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 32497, 32502, 32509, 32518, 32529, 32542?\n\"Answer: g**2 + 2*g + 32494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 4*z**2 - 244*z - 1165. What is the remainder when 3105 is divided by v(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15948)\/59805*1\/(-4)*9?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 59902, 60053, 60204, 60355, 60506?\n\"Answer: 151*b + 59751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 9491.\nAnswer: 1\/9491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 316 and 14231534?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 11. Give i(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 364 and 208?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 1. Let l(y) = y + 4. Suppose -4*p + 8 = 2*b - 8, 0 = 5*p - 20. Suppose 2*r - 3 = k + 4*k, b = 4*k + r - 8. Determine k*l(s) - 2*u(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/(-3))\/(4\/12). Is 6\/a - (-188)\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1\/7, 1\/8, 10, 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*q**4\/7 + 1066*q**3 - 14346*q**2\/7 + 5946*q\/7 + 848\/7 = 0. What is q?\nAnswer: -424\/5, -1\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -1. Suppose -2*a + 2*i - 4600010 = d, -749741 + 3049716 = -a - 5*i. What is a rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-1)*42\/6. Let c(w) = -w**2 + 11*w - 6. Let m be c(d). Is (-3)\/(1*(-3)\/m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 19. Let g be (-16)\/24 - 8\/(-3). Let d be 4 - -2*(g + 2). Solve -3*h + l = 2*h - 15, 0 = 4*h + n*l - d for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -64, -106, -148, -190, -232?\n\"Answer: -42*n - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1368 divided by 8?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 143 + -279. Let t = -73 - j. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 4*l**2 - 7320*l + 3348900 = 0.\nAnswer: 915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/228?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - -1 - -2*320. What is the units digit of h\/9 - (-4)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263275?\nAnswer: 5, 10531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/66 and -46\/21?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 12*h - 33. Let a be n(6). Let d = 61 - 304\/5. What is the nearest to -1\/3 in -2\/3, a, d?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 13*l + 23 = -12*l, -10*k - 4*l + 52 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3516 times -0.04?\nAnswer: 140.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -992981266*g**3 + 992981268*g**3 + 5 - 5.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -642, -1280, -1918?\n\"Answer: -638*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-5) + 9\/45. Sort m, 4, -0.15 in ascending order.\nAnswer: m, -0.15, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(2\/9))\/((a\/(a*a\/(a**6\/a)*a*a))\/a))\/(a**6\/a*a*a**(4\/7)) assuming a is positive.\nAnswer: a**(-428\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -7\/16707?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -9443*f**2 + 4723*f**2 + 2*f + 0*f - 9 + 4719*f**2. Determine q(8).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9, k: 2}. What is prob of sequence kbbb?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 225816848 by -14113553.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 431 = -4*k - 69, -2*k + 178 = -p. Calculate the remainder when k is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5. Let m(i) = 5. Let z(v) = -3*m(v) + 4*t(v). Suppose 199*d - 179 - 143 = 38*d. Let x(g) = g. Determine d*x(a) + z(a).\nAnswer: 2*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1712 + -1774 + (-47421)\/(-765).\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 180016, -2.\nAnswer: -8, -2, 180016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*f - 1247 = 1021 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*s + 35*s + 32*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 175.44327 less than 0.1?\nAnswer: -175.34327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -786, 2671, 8432, 16497, 26866, 39539?\nAnswer: 54516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -516, -2083, -4696, -8355, -13060, -18811, -25608?\n\"Answer: -523*w**2 + 2*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 732280, 1464099, 2195918?\n\"Answer: 731819*j + 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6878078.\nAnswer: 2, 37, 41, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 p when two letters picked without replacement from wjjwwpwwwjjwwwwwj.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 0 + 1\/6*b**3 + 0*b**4 - 1\/180*b**6 + 5*b + 0*b**2 + 1\/60*b**5. Let s(j) be the second derivative of d(j). Factor s(w).\nAnswer: -2*w*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**3\/4 + 274721*q**2 + 75471627841*q = 0.\nAnswer: -549442, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 28*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lcffccflcffffcflflf. What is prob of picking 1 f and 2 c?\nAnswer: 100\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 560001020 to the nearest integer?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -33?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 213, 824, 1849, 3294, 5165, 7468, 10209, 13394?\nAnswer: 17029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 296*d**3\/3 - d**2 - 30*d - 466. Find the first derivative of h(v) wrt v.\nAnswer: 592*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(320\/16)*6\/(-60))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 2:30 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7506, 7514, 7526, 7542?\n\"Answer: 2*m**2 + 2*m + 7502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 10 = -10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyycommxmyymy. What is prob of sequence xyo?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2791770191 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 e when four letters picked without replacement from {o: 5, e: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -15.1263\nAnswer: 6.05052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228 and 14934.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -344483224 take away -476.4?\nAnswer: -344482747.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 10 = 0, 4*k - 7*k = 2*s + 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.7 + 0.3. Let n = -0.02 + 0.02. Let i = n - -2. Which is the closest to 0.1? (a) u (b) -1\/4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vcvovovvox. Give prob of picking 1 c and 1 v.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-68)\/680*10)\/((-3)\/(-9)*15\/(-415))\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 3*x + 3, 10*u + 13 = 13*u + x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 294 and 25494?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 37750 = 10*r. Let c = r + 3433. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53913, 53875, 53837, 53799, 53761, 53723?\nAnswer: 53685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 26\/5 of a week?\nAnswer: 52416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10906 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 19, 23 in increasing order.\nAnswer: 4, 19, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1\/4, -934, 0 in ascending order.\nAnswer: -934, 0, 1\/4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 38*k + 33*k + 24815560, -4*k + 24815568 = 4*h. What is h rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ogi when three letters picked without replacement from iccvvycgyyovvoo.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -5\/6, 0.2, 25, -154.8 in decreasing order.\nAnswer: 25, 2\/9, 0.2, -5\/6, -154.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -14. Suppose 0 = -o*z + 7*z - 170. Does 17 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 269728 by 2.\nAnswer: 134864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9648*a - 15500?\nAnswer: 9648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1146, 4625, 10426, 18549, 28994, 41761?\nAnswer: 56850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0253313 - 1276?\nAnswer: -1276.0253313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19.018 + -19. Let w = -2.89 - -2.8461. Let x = w + y. Round x to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 399 - 387 = 4*f + 5*w, -2*f = 5*w + 4 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 3*s**5\/20 - 3*s**4\/4 + 5*s**3\/6 + 37*s. Find the second derivative of c(w) wrt w.\nAnswer: 18*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.05 + 0.05. Let x = j + 5. Let u = -14 - -29\/2. Which is greater: x or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 482*r**2 - 8*r + 15?\nAnswer: 964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -75*l**8\/7 - 383*l**4\/12 + 3*l - 144. Find the third derivative of m(y) wrt y.\nAnswer: -72000*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a century in years?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 5) + (10 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7331 = -1183*x - 10267 - 4879 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -348988*g**3 - 191160*g**2 wrt g?\nAnswer: -2093928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 11*p + 2. Let i(v) = -11*v - 2. Calculate 3*i(r) + 4*l(r).\nAnswer: 11*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 679.74218 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (9 + 10 - 10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 757*r + 2317. Give p(-3).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 550261599?\nAnswer: 550261598.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 176\/33 + (-2 - (-5)\/3). Let b(y) = y**3 + y - 1. Let c(i) = 9*i**3 - 3*i**2 + 7*i - 11. Let m(g) = p*b(g) - c(g). List the prime factors of m(-3).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8641.39 and 138122701.\nAnswer: 138114059.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j + 3. Let q = 129 + -127. Let z(g) = -g - 1. What is q*b(c) + 5*z(c)?\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 c, and 2 b when four letters picked without replacement from ppcbppbd.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 433*l**3 - 857*l**3 + 689*l**3.\nAnswer: 265*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, d: 3, h: 1, e: 1, i: 3, o: 1}. What is prob of sequence ei?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.115301*-283\nAnswer: 32.630183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/8*8\/(-3). Suppose 12 = 4*g + 2*y, 2*y + 7 = 3*g - k. Solve -g*n + 8 = -7 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.65 + 1.65. Let k = 67.3 - u. Let o = -55 + k. Which is the nearest to o? (a) 5 (b) 6 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16678*w**5 - 2*w**2 + 1111*w?\nAnswer: 1000680*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11401*x + 5112 = 11543*x for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*v - 7*v - 15*v + 21*v + 114 wrt v.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9755.2 to the nearest one hundred.\nAnswer: 9800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 15*n + 2. Let d be m(5). Calculate the highest common divisor of 11 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 3*v + 6. Let i be x(-4). Solve p = 2 + i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 41*o - 37. Let y be s(1). Suppose -2 = -4*f - 2*a + 22, 0 = 5*f - 5*a. Let h be 2\/f*1*4. Solve 3*v + y*t + 2 = 9, v + h*t = 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + i**2 - i - 1. Let a(l) = -4*l**3 + 3*l**2 - 2*l - 2. Let z(t) = t**3 - 9*t**2 - 36*t - 1. Let x be z(12). What is x*a(g) + 2*c(g)?\nAnswer: 2*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9940*v**5 - 3*v**4 - v**3 - 2*v**2 - 1268*v + 88 wrt v?\nAnswer: 596400*v**2 - 72*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78844 and 217948?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 612091, 612080, 612059, 612022, 611963, 611876, 611755, 611594?\n\"Answer: -g**3 + g**2 - 7*g + 612098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68215.\nAnswer: 5, 7, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by (-15)\/30 - 41\/(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47*-13000\nAnswer: 611000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19044143, -76176568, -171397277, -304706270, -476103547, -685589108, -933162953?\nAnswer: -1218825082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v**2 - 3*v**4 + v**2 + 4*v - 11*v + 2*v**2 - 1 + 5*v**2 as g*v**2 + z + c*v**3 + n*v + b*v**4 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-63642)\/(-22) + 7*6\/231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35 + 10?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4096211 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1296 + -0.54\nAnswer: 1295.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 11*j - 107. Let y(l) = -11*l + 110. Let u(n) = 4*k(n) + 5*y(n). Let i be u(11). Which is bigger: i or -2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 17*j**2 - 119*j - 203. Let r be u(-22). Which is the fourth smallest value? (a) 22 (b) r (c) -3 (d) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -9*f**2 - 530*f + 333. What is w(-59)?\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 - 3414 + 1710 - 3*o + 1711 + 10*o. Calculate q(6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2250\/81 + 4\/18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49829431 - 44\nAnswer: -49829475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3048.3 + 3048. What is the nearest to 14 in -4, i, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.8, 4, 1\/7, 5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49591.\nAnswer: 101, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.629 in 2\/3, -0.12, 158?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(23*s**5 + 30*s**5 - 58*s**5).\nAnswer: -10*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 4*g + 2*g)*(43*g + 19*g + 9*g)*(5 - 3 - 5) - 3*g**2 + 0*g**2 + 5*g**2.\nAnswer: 428*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x**2 + x + 2. Let t be s(2). Let z be (-2)\/(-8) - 9\/t. What is the units digit of (12 - -4)*z\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1006*(181 + 11)\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*d\/(d\/(d**5\/d*d))*d)**(1\/14)\/(d**(3\/2)*d*d**(-12\/5)) assuming d is positive.\nAnswer: d**(19\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/25, -3, -10 in descending order.\nAnswer: 3\/25, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1618 + -1562. Is t a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1229\/5571 - -1\/619. Which is the fourth smallest value? (a) y (b) -0.5 (c) 3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/(-18)*(3 + 3). Is (-1)\/(-2) + -44706*(-2)\/l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -312, 141, -2, -5, 261 in decreasing order.\nAnswer: 261, 141, -2, -5, -312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-2))\/(6\/537). Suppose -3*u - 275 - 31 = 0. Let p = j + u. What is the remainder when p is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 6 - 21*o**2 + 4*o - 6 + 20*o**2. Let m be y(4). Solve 4*n - 3 = 5*j, -6 = -4*j - n - m*n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-33) + 0)*10943607867\/2307924. Let k = 70\/192327 + p. Let v = k + 431. Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 6\/5, 5, -1\/542, 1173?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 575.9532us to minutes.\nAnswer: 0.00000959922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 5*v**2 - v + 7. Let w be z(5). Solve w*b + 13 = -2*u + 1, 3*b - u = 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589 is divided by 83?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + m - m)*(-5*m + 5*m - m) + m**2 + m + 2 + m**2 - 5*m.\nAnswer: m**2 - 4*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 0 + 0*q**2 - 3*q - 1\/20*q**5 + 0*q**3 + 1\/4*q**4. Find the third derivative of y(j) wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4455 * -1\nAnswer: -4455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = r + 17010. Round r to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -224\/23 + 3241\/184. Find the common denominator of o and -67\/130.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 221 and 68?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (127 - 9) + -6 + 1 + 1 - -6. What is the greatest common divisor of 110 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13134433 (base 5) in base 10?\nAnswer: -130618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6348 or 1773?\nAnswer: 1773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -136078*b**5*w + 86708*b**2*w wrt b?\nAnswer: -8164680*b**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(13) - sqrt(39)\/sqrt(3) - sqrt(13)) + -5))**2*3.\nAnswer: 120*sqrt(13) + 456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5101\/7230 + -4\/723. Let i be 0*(1 + 6\/(-4)). Which is the third biggest value? (a) 4 (b) i (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-26 - -27)*(-3)\/87. Let w = 25\/116 - b. Factor -1\/4 - w*o**2 - 1\/2*o.\nAnswer: -(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 7)*(-15704*u - 3 + 31393*u - 15719*u + 11*u**2)*(u**3 + 3*u**3 - 2*u**3).\nAnswer: 44*u**5 - 120*u**4 - 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1185?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211102110122000 + 11?\nAnswer: -211102110121212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/591 and -68\/25025.\nAnswer: 14789775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21023322 (base 4) to base 14.\nAnswer: d9d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23709*g + 3 = -23712*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*u = -40*u - 231. Suppose -5*a - 9055975 = -u*c + 13*c, a - 22640005 = 5*c. Round c to the nearest one hundred thousand.\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*66852\nAnswer: 33426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(10)*2) + (sqrt(3) - (sqrt(3) + sqrt(12)))*4.\nAnswer: -15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 810?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 11*v**2 - 15*v - 12. Give p(-12).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 23*h - 22*h + 3*t, t = 2*h + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14730142311 - -0.28.\nAnswer: 14730142311.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, o: 4, n: 4}. What is prob of sequence gon?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -955585, -955649, -955713, -955777, -955841, -955905?\nAnswer: -955969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233121101 - -2?\nAnswer: -233121033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 10339428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1088a - -7350?\nAnswer: -453a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -2*d**3\/21 + 2*d**2\/7 + 6*d\/7 - 2. Factor q(y).\nAnswer: -2*(y - 3)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -784, 2.\nAnswer: -784, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*d = -8862, -2*m + 2*d = -d - 8867. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.142 - 0.732. Let l = z - -0.49. Which is bigger: l or -3\/13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 0 - 17*b - 1\/4*b**4 + 0*b**3 + 0*b**2. Let i(d) = d. Calculate u(i(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21*(-28)\/84)\/((6\/(-28))\/((-102)\/(-68)))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*r + g + 19, -20 = 4*g. Let y = -18 + 13. Let h be (-2)\/3 - (-1)\/(-3). Sort h, r, y.\nAnswer: y, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12965 + 13287. Is i a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-3)*6\/(-6)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-10) + (-117)\/45. Let d be (-2 + 1)\/(s\/12). Let x be ((-36)\/(-60))\/(2\/((-8)\/d)). Does -1 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 205 - 201. What is the nearest to z in -1, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6076206 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/35))**(-35)*((g**(2\/9)\/g)\/g)\/g**22 assuming g is positive.\nAnswer: g**(-232\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (28 + (-10 - -10)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i**2. Let n be ((-2)\/6)\/((-14)\/168). Let b(o) = -o**3 + 8*o**2 + 6. Let z be b(8). Let a(d) = -n + z*d**2 + 1 + 3. Give a(l(m)).\nAnswer: 96*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -92561.\nAnswer: 18512.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8002 is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (7 + -7 + 4). Let q be -73 - 2*(1 + t). What is q rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 9:36 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1 + 2 - 4 + 4 + 2 - 2 + 1 + 1 + 4 - 4 + (-3 + 2 + 3)*(0 - 2 + 4))*(-5*v**2 + v**2 + v**2).\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 1098.\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 9*d**2 - 28*d - 317. What is y(8)?\nAnswer: -477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 + 5*k + 60.\nAnswer: -5*(k - 4)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 76.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 9*u + 447. Determine i(-49).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000038143 rounded to seven dps?\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3162 + 11735 = -21*m + 429*m - 1015 for m.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 55291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 97 + -50. Let r = m - 15. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 4*c + 12. Suppose 4*l = -8 + 28. Let j be h(l). Suppose 15*b = j*b + 1600. What is b rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7277028053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 6*p - 5. Determine o(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((4\/(-14))\/(16\/28)). Find the third derivative of -18*q**4 - 25*q**4 + 8*q + f*q**2 - 3*q**3 - 25*q + 61*q**4 wrt q.\nAnswer: 432*q - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*f*u - 28*f - 635*u wrt f?\nAnswer: 6*u - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1731 = -19*a - 359. Let h = 115 + a. Solve -2 = -4*k + n - h, 2*k - 2*n - 6 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**5\/30 + 19*i**4\/30 - 22*i**3\/45 - 31*i - 6. Factor o(p).\nAnswer: -2*p*(p - 11)*(5*p - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zbbzhzzbtbzb. What is prob of picking 2 z and 1 b?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 360 - 360.5. Sort z, 14, 1 in increasing order.\nAnswer: z, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2111210 (base 3) to base 13\nAnswer: -aaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*h - 5*h. Let q be (-8)\/72*h\/18. Is 0 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*c*v**2*x**2 - 2*c*v*x**3 + 3*c*x**3 + 2*c*x - 5*v**2*x**3 - 2*v**2 + 5*x**3 wrt v.\nAnswer: 8*c*x**2 - 10*x**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(3) - sqrt(30)\/(sqrt(10)*2)) + sqrt(3) + sqrt(108)\/sqrt(4).\nAnswer: 3 + 9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -2, -0.2, 0.039?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20 + 10 - 2)*(-f + f - f**2) - 1389 + 45*f**2 + 1389 to the form k + v*f**2 + c*f and give v.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-6) - 2\/(-6). Factor 2 + 10*i**2 - b*i - 6*i + 9*i**2 - 5*i**3 - 7*i**2.\nAnswer: -(i - 1)**2*(5*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 2*l**2 + 2*l - 5. Is d(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -133, -272, -453, -670, -917, -1188, -1477?\nAnswer: -1778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3227*f + 3202*f + 300 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4040 take away 12335035858?\nAnswer: -12335039898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 9*j = -14*j, 11 = -3*s + j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 9.9, -1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5888362 and 13802.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/8014 + -24907\/6932110. Let p = w - 25067\/5190. Let a = 39603\/8 + -4961. Calculate the common denominator of a and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 - 44.1. Let s = -0.5 + 0.8. What is the closest to -1 in s, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.03 from 3992426528.\nAnswer: 3992426527.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 5*c**2 - 3*c + 3. Let r be v(4). Let q = r - -29. Differentiate -2184*y**2 + y**q + 14 + 2184*y**2 wrt y.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -2, 3, -6, -2\/7, -145 in descending order.\nAnswer: 3, 2\/7, -2\/7, -2, -6, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140878316 is divided by 147.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m**2 - 7. Let u(k) = -1. Let n(h) = q(h) - u(h). What is the first derivative of n(y) wrt y?\nAnswer: 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 4) to base 14\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.19 + -0.69. What is the fourth smallest value in -0.2, -0.1, 1\/8, l?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7*a**2 - 4*a - 8. Let u(o) = -8*o**2 + 5*o + 10. Let m(z) = 4*u(z) + 5*w(z). Let h(i) = -82*i. Calculate h(m(f)).\nAnswer: -246*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2\/3 - 260*y\/3 + 400.\nAnswer: 4*(y - 60)*(y - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 498316562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-10))\/(-2 - (-36)\/15). Let w be (u - 0)*(-9)\/54. Let o(s) = -s**3 + 2. Let t be o(0). What is the smallest value in t, w, 1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.6 in -6, 9808, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 258861 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b + b - 5*b. Let o(a) = -4*a. Determine c(o(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -9*q - 14. Let c(a) = 2*a**2 - 7*a - 11. Calculate -6*c(z) + 5*v(z).\nAnswer: -12*z**2 - 3*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00099525261 rounded to seven dps?\nAnswer: 0.0009953","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/(-875)*(-1 + 6)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 11*c**2 + 4*c - 2. Let l(p) = -11*p**2 - 6*p + 3. Let y(w) = -2*l(w) - 3*u(w). Let g(s) = -3 + 0 + 2*s + 3. What is y(g(n))?\nAnswer: -44*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x + x - 23*x + (0 - 3 + 4)*(30*x + 46*x + 18*x).\nAnswer: 75*x","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -63076 divided by -5.\nAnswer: 63076\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15*259\/(-1110))\/(9\/(-4)*-1).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.232 + 0.168. Let x = -0.7 - 0.3. Let k be 13*60\/520 + 0 + -6. Which is the closest to -1? (a) k (b) t (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**3 - 3778*x**2 - 48856*x - 150080 = 0.\nAnswer: -1876, -8, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1623615, -1623594, -1623573?\nAnswer: -1623552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 24*p - 2037. What is g(44)?\nAnswer: 955","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2123 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**3 + 2*v**4 + 0*v**3 + (-2 + 2 + 2*v)*(-3*v**3 + 5*v**3 + 2*v**3).\nAnswer: 10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3*n**3\/4 - 461913*n**2\/4 + 923835*n\/4 - 461919\/4 = 0?\nAnswer: -153973, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48322\/27 + -5375\/3. Let n = 26\/257 + -5975\/10794. Calculate the common denominator of q and n.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3149*k**3 + 153 - 76 - 77.\nAnswer: -3149*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 17*q + 34. Let s be w(-15). Solve i + s*l = -4*i - 28, -3*i = -l + 10 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284*h = 4*m + 286*h - 14, 2*m + 18 = 4*h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14889523 and -8.\nAnswer: 14889515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 11:13 PM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 620447734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/7 + (-5 - -2). Which is the third biggest value? (a) p (b) 5\/8 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138841?\nAnswer: 138841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371438?\nAnswer: 2, 229, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (24\/42)\/(3\/(-19047)*-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/9)\/i**(-4) assuming i is positive.\nAnswer: i**(38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1422242 (base 5) to base 7.\nAnswer: -152403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - s - 2. Let k = -15 + 8. Let t be 14\/k*1*-1. Let f = -2 + t. What is b(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1922 and 4.\nAnswer: 0.7688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -901*o**3 + 27*o**2 - o + 5. Let q(x) = -2702*x**3 + 72*x**2 - 3*x + 14. Calculate 3*q(m) - 8*v(m).\nAnswer: -898*m**3 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 0. Suppose -2*w - k*i = -6*w + 17, 0 = 3*w - 2*i - 12. Let x(s) be the third derivative of s**5\/60 + s**3\/3 + s**2. Determine x(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -485 + -14?\nAnswer: -499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4*o - o - 4*o)*(-2 + 0 + 0) - 3*o - 6*o - 8*o)*(-221 + 0*o - 3*o + 4*o + 633) to j*o + p + u*o**2 and give j.\nAnswer: -6180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1285 is divided by 87?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/120 + (-92)\/15. Put l, 5, -2\/7 in ascending order.\nAnswer: l, -2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 + -9. Let g be -5 - ((1 - -4) + -30). Suppose -g*a = -s*a + 339. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146259734557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6356 + -6356.1. Which is the closest to -0.1? (a) -0.05 (b) -4\/7 (c) z (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 21*d + 44. Let m be c(-19). Let b(w) = w**3 + 2*w**2 - 5*w + 15. Is b(m) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 3*i + 51, 17*l - 14*l - 2*i - 34 = 0. Suppose k - 50 = -4*k. Factor 6*w**3 + 8*w - 10*w + 3 + 6*w**5 - k*w + l*w**2 - 15*w**4.\nAnswer: 3*(w - 1)**3*(w + 1)*(2*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/3024 and -31\/184.\nAnswer: 69552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 10:26 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 453459?\nAnswer: 3, 151153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10003 - -10009. Put 120, -5, b in ascending order.\nAnswer: -5, b, 120","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 28379 and -237.2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(322\/3 - 10\/(-60)). Let p = -204 - n. Calculate the lowest common multiple of p and 13.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + f + 8. Suppose -6*q = q. Let m be (q\/(-1))\/(25 + -32). What is h(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2a + 2?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (81\/324 - 0)\/((10\/192)\/5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**37*y**(-2\/31)*y)**31 assuming y is positive.\nAnswer: y**1176","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 q when four letters picked without replacement from {y: 1, f: 2, q: 2, s: 4, c: 3, u: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2457 + 2451 + (-19 - -2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -358 - -359. Let h(f) = 1. Let m(p) = -60*p**2 + 2*p - 5. Let v(j) = s*m(j) + 4*h(j). What is the second derivative of v(a) wrt a?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 187933 and 138.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 153\/5 - 245\/8. What is the nearest to 1 in c, 5, -5\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246832 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1751575582?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from xxkkk?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -42 and -773.\nAnswer: 32466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1806 and 112202566.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -p**5\/10 - 5*p**4\/12 + 11*p**3\/6 - p**2 + 4*p - 2. Let g be n(-4). Solve -g = 2*h - 12 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, o: 1, c: 1}. What is prob of sequence ao?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.6 and -2378804.\nAnswer: -2378802.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, 13, -1, -5.\nAnswer: -5, -1, 1, 7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.75 tonnes to grams.\nAnswer: 19750000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -4) + -5 - (-2 + 12) - -7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -268 divided by 67.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-3) - 24\/9. Let f(k) = -k + 2. Let q be f(v). Differentiate c**q - 6*c**4 - 1 + 4*c**4 with respect to c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.5 (b) -59499 (c) 3\/370\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (1 + -1)) + 131 + -110 + (-5 - 4)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10421 (base 7) to base 6.\nAnswer: 20032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 8*m - 5. Let t be a(2). Suppose t*k - 9*k = -104. Round k to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4 - 76*o**3 + 72*o**2 + 3456*o - 3456.\nAnswer: 4*(o - 12)**2*(o - 1)*(o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 v when three letters picked without replacement from {v: 3, x: 2, w: 3, n: 7}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 15) to base 2\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -11\/2*c**2 - 14 + 0*c. Let r(p) = -2*p. What is r(t(n))?\nAnswer: 22*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 161376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 n when three letters picked without replacement from {h: 3, n: 1, l: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.227243 to 4 decimal places.\nAnswer: -0.2272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aahhnffffah. Give prob of picking 1 n and 1 a.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*y**3 - 3*y**3 + 2*y**3.\nAnswer: -21*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + k**2 + 2*k + 1. Let j be r(0). Suppose -5*i + 27 = -w, j + 2 = w. Let q = 8 + -2. Is i >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 982 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 = m - 112 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632550680 a multiple of 684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15544 - -15507. What is the third smallest value in -5, j, -5\/17?\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.95531 rounded to two dps?\nAnswer: -1.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-26)\/(-10) - 14\/(-35). Let n be (-10)\/(-15) - (4 + (-1915)\/75). Factor 108\/5 + n*q**i - 72*q - 9\/5*q**3.\nAnswer: -3*(q - 6)**2*(3*q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 257458902.636055 - 152986890.6360435. Let i = 104471987 - m. Let z = -25 - i. Round z to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 12:58 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (20\/64*4)\/(3\/2). Suppose 0 = f + 2 - 1. Let w = 0.2 - 0.1. Which is the nearest to f? (a) h (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5280.006m?\nAnswer: 5280006000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 11. Suppose 0 = 3*b + 4*y + 14, -b + 13 = -2*b - 3*y. Let r be (o + 0)\/(1\/b). Is 5 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 7:47 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14632*y - 11229 = -7407*y - 7422*y for y.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 + 22*d**2 + 30*d - 48. Let h be p(13). Sort h, 3, 5, -3 in increasing order.\nAnswer: h, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 8*t**2 - 8*t + 10. What is v(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.65731*-1975.1.\nAnswer: 1298.252981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2475 - -54072. List the prime factors of g.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.26 - -0.3. Let d = -0.86 - y. Let t = 1 + d. Which is the closest to t? (a) -0.4 (b) 2\/11 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(2\/(-8)*2). Let p = -22 - -2. Is b\/10 - 412\/p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*x + 71*x = 587*x - 5733 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (1 + -5)*-1. What is the tens digit of 86\/7 + h\/(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 371039, 742421, 1113803, 1485185, 1856567, 2227949?\n\"Answer: 371382*j - 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = 5*u + 662 + 804, -556 = -4*i - 2*u. Which is smaller: i or 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -6*u**2 + 9*u**2 - 22 + 8*u**2 - u**3 - 3*u - u**2. Does 16 divide a(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 440*p - p**2 - 641*p - 658*p.\nAnswer: -p**2 - 859*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-304)\/(-6))\/2*35*(-186)\/4340.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -37 (c) -864 (d) -1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 624, 795, 496, -273, -1512?\n\"Answer: -235*m**2 + 876*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -239*n**2\/2 + 2*n - 23. Is y(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -238*r + 3. Let t(g) = -2*g + 1. What is -4*k(j) + 12*t(j)?\nAnswer: 928*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*sqrt(1872))**2.\nAnswer: 192*sqrt(13) + 7504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/10 + -1\/5. Let s = -0.5 - -0.9. Let u(n) = -n**3 + 3*n**2 - 3*n + 1. Let z be u(2). Which is the closest to 1? (a) z (b) f (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/((b*b*b**1*b*b)\/b)*b*b)**(-23\/2)*b**(1\/12)\/b*b**(-2)*b*b**5\/b**2*b**2\/(b**5\/b) assuming b is positive.\nAnswer: b**(-11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -6*w**2. Let a = -6 + 18. Suppose -a*n + 17*n = 0. Let z(g) = -13*g**2 + 8*g**2 + n*g**2. Calculate z(x(t)).\nAnswer: -180*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/45 - 0) + (43 - 241472\/5610)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3448896 and 7744.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117, 232, 347?\nAnswer: 462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 852 - -567. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68\/(-6528))\/((140\/(-6))\/14).\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -1.38205.\nAnswer: 0.98205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-16) + (-1080)\/1344 - 39\/(-78)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*t + 5*c, -4*t + c + 36 = -3*c. Let w = -3672 + 3675. Solve -w*r + 12 = -t*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 + 27\/(-6) + -7. Let o = -207\/32 - n. What is the common denominator of o and 77\/26?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -114 - -128. Let q be 14\/m*(-2)\/18. What is the biggest value in -7, 1\/5, q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0117 and 627.134.\nAnswer: 627.1457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4160*r + 120638. Calculate l(29).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 32\/5 of a millimeter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8527 + 8527 + 43*r**2 + 24*r - 22*r - 2*r - 39*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1303240457?\nAnswer: 19, 73, 939611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, -4, 8\/27?\nAnswer: 8\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -412234 (base 5) to base 12\nAnswer: -7944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4864)\/(17408\/136)*2\/(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - -1. Suppose u + 4*i = -u, -5*i = u + 6. Let m be 239\/u - (-3)\/12. Calculate the highest common divisor of h and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 368016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -15*k**2 + 2*k. Let a be (-210)\/(-51) - (-2)\/(-17). Let y(h) = 17*h**2 - 3*h. Let i(b) = a*y(b) + 6*j(b). Let v(l) = 3*l. Calculate i(v(p)).\nAnswer: -198*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67.5 + 126. Round l to the nearest ten.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8747721 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/24*(-1638)\/26)\/(45\/24).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -8*h**2 + 5071*h - 25280. What is d(5)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, n: 6, y: 7}. Give prob of picking 1 f and 1 y.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*y. Suppose -4*r - 92 = -8*r + p, -2*p - 8 = y. Calculate the smallest common multiple of r + (4 - 10) + 4 and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -64, -260, -586, -1042, -1628, -2344?\n\"Answer: -65*r**2 - r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 9. Let x = 5.9 + v. What is the closest to 1 in -4, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 2. Suppose m*o = -2*o. Differentiate o*n**2 + 0*n**2 + 3*n**4 + 2 wrt n.\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 180491738 to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**3*r**2 - 24933487*n**3*r + n**2*r**2 + 49*n**2*r - 6*n**2 - 2*n*r - 3*n + 2*r**2 wrt n.\nAnswer: -12*r**2 - 149600922*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 58.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 38 + (14 - (-39 + 61)) - (0 - 12)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 58 - 6*b - 55*b - 56 + (2 - 2 + b)*(-5 + 5 + 2).\nAnswer: -59*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = 5*q - 4*y, 644*q = 649*q - y - 52 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8625 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2814 a factor of 9711114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n\/n**(-7\/3))\/n*n)**(-2\/119)\/(n**16*n**6) assuming n is positive.\nAnswer: n**(-7880\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 270537331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/5*145\/261.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61645?\nAnswer: 5, 12329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1158*l**2\/5 - 3255*l + 882\/5.\nAnswer: 3*(l - 14)*(386*l - 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -80.3 - -67. Let x = 60.7 - o. Let j = 73 - x. Is j greater than or equal to -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 39 = 153. Suppose 7*w - 2*w - 5 = u, 4*u + 5*w - 5 = 0. Suppose -f - 3*f - a = u. What is f rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 61640157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 10:30 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 475423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 6*f - 7*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2639*x**4 - 26*x**2 - 184 wrt x?\nAnswer: -63336*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -16. Let x = -6.1 - z. Sort 1, x, 1\/4 in ascending order.\nAnswer: x, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 - 152 + 10 = -6*r for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1143 bigger than -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f**2 + 21*f + 9. Let u be j(-6). Let o = u + -19. Solve 2*y + 0*y = o for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2556*h**2 - 10*h + 10. Let n(z) = -290106*z**2 - 1136*z + 1136. What is -568*a(j) + 5*n(j)?\nAnswer: 1278*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (60697\/1972 + -31)*(-4)\/(-3)\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 - 3*y**2 + 6*y. Calculate t(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24592777 is divided by 6148185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/12 and (-3)\/(-9) - 2\/((-1500)\/755)?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.18 and -6428.\nAnswer: 1157.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2407\/7 - 344. Which is the closest to 2? (a) -0.02 (b) f (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1430551 rounded to the nearest 1000?\nAnswer: -1431000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79762700.\nAnswer: 2, 5, 797627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 i when four letters picked without replacement from yimmyhymhtdiy.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 3 + 7892 + (-5 - -10 - 5) a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375894460 to the power of 1\/3, to the nearest integer?\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 198 + -628. What is the units digit of 15\/(-20) + i\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -2.3?\nAnswer: 11.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2073 and 57078.\nAnswer: 11832.2694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13745850 + -13747242.8819. Let g = 1393 + q. Let v = g + -0.11. What is v rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 - 38. Let i = 37 - b. Let j = -2 - -15. Calculate the remainder when i is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*y + 150 = -21*y. Let c be (2 - 3)\/(10\/(-80)*2). Solve x + 6 = -2*x, c*k - 5*x = y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -20*v**2 + 9*v + 20. Let m(a) = -11*a**2 + 5*a + 11. Let d(o) = -6*c(o) + 11*m(o). Let g(q) = -4*q**2 + 5*q + 5. Give -5*d(r) + g(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.341 + -0.341. Let h = -2 + 1. What is the closest to h in k, -1\/4, -2\/11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*n**2 + 52*n**6 + n**5 - n**5 - 65*n**6 wrt n?\nAnswer: -1560*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 135877?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*b = 352264 - 360634 for b.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 4*t = -35*f + 2158, 443*t + 9 = 440*t for f.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/3 - -2*5. Let a = g + -3. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92628 and 5425062.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 570473 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + s = -9, 4 + 1 = 2*p - 5*s. Let q(v) = 45*v + 355. Let x be q(-6). Calculate the highest common divisor of x and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**4 + 8*r**4 + 2*r - 3*r**4 - 4*r**2 as o*r + g*r**4 + t*r**2 + j + s*r**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (106624\/8330)\/(2\/5)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-34)\/110 + (-24)\/(-60). Which is the fourth biggest value? (a) 1\/8 (b) -2\/3 (c) k (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - g)*(4*g - 5*g - 5*g) + 0*g**2 + 0*g**2 + g**2.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 20, 0.1, -0.4378?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111102201 (base 3) to base 9.\nAnswer: -114381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37538999009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43\/10 + 31\/5. Find the common denominator of w and -26\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.7399756 and 4.\nAnswer: 3.2600244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 5753*g + 5358*g - 2606*g as q*g + h and give q.\nAnswer: 8505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 4*n, 0 = 6*d - 3*d - 5*n - 8. Does 6\/7 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**5\/5 - 6*g**4\/5 - 36*g**3\/5 - 42*g**2\/5 - 3*g.\nAnswer: 3*g*(g - 5)*(g + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84531 divided by -4449.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -27, -0.3 in increasing order.\nAnswer: -27, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 103072421.2 to the nearest 10000.\nAnswer: 103070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 4 = o. Let d(v) = -o*v - 2 - 4 + 13*v + 5. Give d(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6166 divided by 38\nAnswer: 3083\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(sqrt(20)\/sqrt(2)))**2 + sqrt(39)\/sqrt(3)*2 + (-4 + sqrt(117) + 1)**2 - (2 + 4*2*sqrt(468) + 3).\nAnswer: -64*sqrt(13) + 134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22721, -8, 0.3 in increasing order.\nAnswer: -22721, -8, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*d**3*x**2 - 2*d**3*x - 33867*d**2*x + 97589*x**3 - 5 wrt x?\nAnswer: 10*d**3 + 585534*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) 48\/5 (c) 2\/11 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from fffffffbffffffbffff.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 68737b (base 12) to base 16\nAnswer: 19814f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30157.\nAnswer: 53, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53790.\nAnswer: 2, 3, 5, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 - 6)*(0*a + 2*a + 0*a)*(-1 + 1 + 1).\nAnswer: -22*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 2*u**2 + 6*u + 2. Let q(z) = -2*z**3 + 3*z**2 + 6*z + 3. Let n(v) = 3*b(v) - 2*q(v). What is the second derivative of n(m) wrt m?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5775 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6938*g + 13882. What is u(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 376*a**2 + 206*a**2 - 68*a**2 + 362*a**2.\nAnswer: 876*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -66 - -65.9934. What is z rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 576 and 693666?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*a - 16*a + 361864 + 212696. Is a a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 14, 2, -3 in ascending order.\nAnswer: -3, 2, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 1350 = 4*y, -2*y - 668 = -4*y - 2*l. Let c = y + 251. Is c a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 628*b + 630*b + 626*b - 2522*b + 625*b.\nAnswer: -13*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -w - 2*w. Let b be (-38)\/w - 2\/(-8). Suppose -2*u = -u + c - 93, 0 = -u + b*c + 81. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 17*r - 164. Let u be b(11). Is u at least 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2763025511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-8)\/(-4))\/(-4)*(-5 + -8499)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 197.1 + -185. Let d = 12 - q. Let y = -0.3 + 0.8. What is the second smallest value in 0.4, d, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102400020 - -13?\nAnswer: -102400002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-7)*(-34)\/2907*-63.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/25*12\/(-42).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11995360 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**4 + 308*t**3 + 9*t**2 - 38*t - 1269 wrt t?\nAnswer: 24*t**2 + 1848*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 29790\/((-5031)\/(-840) - (-13)\/((-13)\/6)). Round o to the nearest ten thousand.\nAnswer: -2780000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11100211 - 10?\nAnswer: -11100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/77440 and 103\/48928.\nAnswer: 10764160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10991\/200 - 2602\/25. Let u be (-2)\/((-2)\/49*-1). Let y = u - n. Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e77 + 886?\nAnswer: -5e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 5648?\nAnswer: 5645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 8:25 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.92 - 143.08. Let v = k + 143. Which is the smallest value? (a) -0.1 (b) -2\/7 (c) 1 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/((-81)\/36)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*f**3 + 200144*f - 4*f**4 - 200144*f - 2 in the form q*f + x*f**3 + o*f**4 + p + m*f**2 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + 3*q - 1 = -13, y - 16 = -5*q for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/10 of a week?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*y - 11 = 0, p - 6 + 1 = 3*y. Let b be (-4)\/p*(2 - 0). Is b at least as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 + 0*q**2 + 0*q**2 + (0 + 3 - 1)*(11014*q - 1 - 21*q**2 - 11100*q - 1) in the form d*q**2 + g + l*q and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 65.866185 milliseconds?\nAnswer: 0.0000182961625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02093 rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1514172589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/32*1*(-6)\/9?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 596079 (base 11) to base 12\nAnswer: 396b20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventeen quarters of a kilogram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-6))\/(6\/27). Let u be (3 + j)\/(-12) - (-182)\/8. Solve -u = -5*y + 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5676001693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 7\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 222486 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (11 + 18 + -14 + -8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -28628, 22.8, 0.4, 2\/9 in decreasing order.\nAnswer: 22.8, 0.4, 2\/9, -28628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, -1\/19, 3, -6602\/5?\nAnswer: -6602\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127 divided by -7.\nAnswer: -127\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44.763 + 1.763. What is the nearest to d in -2, 5, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5837445 divided by -15.\nAnswer: -389163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -12*r**2 + r + 7*r**2 + 4 + 6*r**2. Let g be f(0). Solve -t + 11 = 4*z, -g*z = 4*t - 8 - 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 15771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/67 or -0.0524?\nAnswer: -0.0524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + h + 21 = 3*m, -h = 4*m + 6. What is the third derivative of 41*a**2 - a**4 - a**3 + 7*a**3 + h*a**3 + 63*a**2 wrt a?\nAnswer: -24*a + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 163*m - 778 - 108 - 289*m + 119*m to the form i + b*m and give i.\nAnswer: -886","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 2*b + 12, g - 3*b = -5*b - 4. Solve 19 = 2*a - 7*i + g*i, 4*a = -3*i - 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/60 and 25\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4716 - -4729.8. What is the fourth biggest value in 1\/3, 2, g, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 58919.72cm?\nAnswer: 589197.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/7 + 10\/7*v + 2\/7*v**2.\nAnswer: 2*(v - 1)*(v + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-2)\/10)\/((-4)\/(-44))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7544, 0.4, 2, -0.01?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 25*m - 47. Let b be o(7). Let h = b + -121. Solve -5 = 4*v + 3*u, -v + 3*u + 2 = h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -238 divided by -1\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 222, 16, -3, -5, 7 in ascending order.\nAnswer: -5, -3, -2, 7, 16, 222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -6*m**2 - 3*m + 23. Let d be t(-5). Let z be ((-8)\/(-12))\/(1\/249). Let a = d + z. Is 18 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**5\/(d\/(d\/d**(2\/7))))**4*((d**3\/d)**(-2\/21))**9 assuming d is positive.\nAnswer: d**(120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*c**2 + 1 - 10*c - 16*c + 629*c**2 + 42*c - 12*c.\nAnswer: 573*c**2 + 4*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5*v + 159469 = -0*l, l - v = 39874. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 15*p + 15*p + 11*p - 39*p. Let c(r) = 165*r**2 + 2. Determine c(l(q)).\nAnswer: 660*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**2 - 2*x**2 - 8*x + 7*x + 2*x**2 to v + w*x + g*x**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 59208814057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-320)\/8 + -3*1. Is (-3 + j + 3)\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 120 - 114. Suppose v*c = 2*c + 84. Calculate the remainder when c is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(((u\/u**27)\/u)\/u)\/u)\/u*u\/(u*u\/(u**30*u))*u assuming u is positive.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/3)\/(l\/(l*l*l**(-8)*l*l)*l)*l**(-2\/7)*l*l*l*l**(-1))**(4\/19))**(10\/19) assuming l is positive.\nAnswer: l**(-3320\/7581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -257.9 times 34?\nAnswer: -8768.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d**3 + 36*d - 36*d.\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(2*o - 2 - 2*o - 4*o).\nAnswer: -8*o - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 12*u + 10*u + 28, 4*q - 3*u - 4 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*c**2*q**3 - 303935*c**2*q - 4073387*c**2 - c + 1 wrt q.\nAnswer: -111*c**2*q**2 - 303935*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*b = 123*b + 36 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -572 - -572. Suppose d = 26*x - 33*x + 9695. List the prime factors of x.\nAnswer: 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 15*g**2 + 345*g + 3. Determine y(-14).\nAnswer: -1887","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -1\/2*g**3 + 0*g**4 + 0 - 2*g**2 + 0*g - 1\/60*g**5. Find the first derivative of i(s) wrt s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*h*m**2*o**3 - 8*h*m**2*o**2 - 2*h*m**2*o + 2*h*m*o**3 + 2*h*m*o**2 + 2*m**2*o**3 + 2 wrt o.\nAnswer: 174*h*m**2 + 12*h*m + 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1161 - 1163 - 3*n**4 + 13*n**4 + 16*n**3 - n**2 to t + x*n + q*n**4 + g*n**3 + w*n**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 1\/(-2))*(-1008)\/594*66?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*(-4)\/(32\/108). Which is greater: k or -57?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 11*m + 2*m - 1 as y*m + f and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -30*h - 6. What is the remainder when b(-5) is divided by 2*(-4)\/108 - (-37680)\/1296?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 478*k - 530. Suppose 8*f - 5*f + 48 = 0. Let m(y) = -160*y + 176. Let l(v) = f*m(v) - 5*a(v). What is the derivative of l(d) wrt d?\nAnswer: 170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*w**2 + 26*w**2 + w**3 - 55*w**2.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41199, -330453, -1115579, -2644515, -5165199, -8925569, -14173563?\nAnswer: -21157119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.6 and -0.0388?\nAnswer: 0.5612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1254898?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06675147944 to 6 decimal places.\nAnswer: -0.066751","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9.056864 tonnes?\nAnswer: 9056864000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*v + 162 + 39 + 69 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-12)*k))\/k)**(-3\/5)*(k\/((k\/(k*(k\/(k*k**(-4)))\/k))\/k))**19 assuming k is positive.\nAnswer: k**(442\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13 - 3 - 134*x - 6 - 153*x - 50 wrt x.\nAnswer: -287","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/27 + ((-1050)\/135 - -8). Let k(v) be the first derivative of 0*v**4 - 6 + c*v**3 + 0*v**2 + 0*v + 0*v**5 - 1\/24*v**6. Factor k(j).\nAnswer: -j**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3912\/23 + -170. Are 1 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/419 + 1289\/6704. Let s = h - -1\/16. What is f in s*f**2 + 1\/4 - 1\/2*f = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3 + 3*w + 7 + 8*w - 26 wrt w?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + (sqrt(1700) - sqrt(1700)*-1) - ((4*sqrt(1700))**2 + 3)).\nAnswer: -27205 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**3\/10 + 139037*h**2\/5 - 19330731209*h\/10 - 38663687042\/5 = 0. Calculate h.\nAnswer: -4, 139039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 127914487 to the nearest one million.\nAnswer: 128000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 182 and 18668?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*m + 462 = 0. Let j = m + 62. Let a be (0\/(-2))\/((-4)\/(20\/j)). Solve a = i + 5*k - 10, 4*i - k = k + 18 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 5685094?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*h + 1632, 2*h - 4*b - 1554 = 74. Suppose 4*a + 210 - h = 0. What are the prime factors of a?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 396799.2ns to seconds.\nAnswer: 0.0003967992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 6) + 8 + -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/6)\/s**(9\/8))\/(s**(-5\/4)*s**(-2\/85)) assuming s is positive.\nAnswer: s**(-37\/2040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 2*h**2 + 14*h + 13. Determine v(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13, 2\/15, 1\/4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14330 - 200731\/14. Suppose y - 1 = 0, 0 = -2*x + y + y + 62. Find the common denominator of (292\/(-20))\/(x\/(-10)) and n.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 v, and 1 r when four letters picked without replacement from {y: 2, r: 1, t: 1, v: 2, m: 1, f: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 a when three letters picked without replacement from {a: 2, y: 5, c: 4}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-171684)\/(-60) + 8 - 24\/(-4)*1. Is o >= 2874?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4948 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 11 = 7. Let a = -15 + w. Suppose -2*c + a - 9 = 0. What is the closest to 1\/3 in -4, c, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1328 = -34*z + 1358. Is 79 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nzf when three letters picked without replacement from {z: 4, f: 7, n: 4}.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 9*a - 63. Let t be 36\/(-8)*1\/((-3)\/2). Suppose -2*h + t*l = -25, 3*h + 1 = -2*l + a. Solve 0 = -k - 9 + h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t**2 + t. Let g(i) = -5*i**2. Give w(g(p)).\nAnswer: 150*p**4 - 5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -171, -501, -821, -1131?\nAnswer: -1431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1) + (0 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.06 + -0.76. Let b = 0.4 + d. Let k = -6 - -11. Sort -1\/4, b, k.\nAnswer: b, -1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/9849 and 59\/2613?\nAnswer: 128037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4248264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 + 412*f + 12192.\nAnswer: -4*(f - 127)*(f + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2212506 or 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 4, 0.8, 0, 2?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -80 + 300. Let f = -220.00824 + c. Let u = f + 0.01. Round u to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60319 - 65438.8. What is u rounded to the nearest one hundred?\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q + 42 = t, 328*q = 331*q + 3*t + 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 450 divided by 11822\nAnswer: 225\/5911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -4 + 8. Let u be (-2)\/(-3 + l) + -1. Suppose 4*t + 0 - 16 = u. Calculate the least common multiple of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 7*c**2 - 871*c - 824. Give d(125).\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t - 14331 = 94*t + 124*t + 72*t for t.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 - -41 - (1 + -20).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/r**2)*r**(6\/5)\/r)\/((r\/((r**(-7)\/r*r)\/r))\/(r\/(r*r*(r\/(r*r*r**2*r*r))\/r))) assuming r is positive.\nAnswer: r**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zfc when three letters picked without replacement from {c: 4, t: 2, z: 3, a: 6, f: 2}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 208 = x. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -129348\/35 - -3696. Let l = 418\/1015 - f. Are l and -1\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -304*k + 135. What is the tens digit of l(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 794660463.\nAnswer: 3, 127, 77249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 228 (base 14) to base 8\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 687276 and -61.\nAnswer: -41923836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201, -248, -697, -1146, -1595?\nAnswer: -2044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.5024 rounded to 2 dps?\nAnswer: -10.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.4, 0, -0.06?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -1317*x + 106121. What is a(80)?\nAnswer: 761","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 28 = 2*h + 4, -28 = 2*h + 2*u. Let t = h + 14. Suppose t*o - 12 = -4*c, -4*c + 11 = c + o. Solve 13 = -3*y + 6*y - c*j, 5*j = 5*y - 30 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-30)\/35)\/(1\/84*-4). Solve 5*i + a + 2 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15f3 (base 16) to base 9.\nAnswer: -7633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 5:55 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ul when two letters picked without replacement from {f: 1, h: 3, l: 3, u: 1, q: 3, y: 3}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67073549?\nAnswer: 29, 2312881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.23 in 4, -1542, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 175 - 175. Solve 3*z + 34 = -5*n, a*z = n + z + 8 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -91, -4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6*c**3 - c**2 + 3*c - 2. What is m(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3492180*q. Let p(l) = 2*l. Calculate c(p(r)).\nAnswer: 6984360*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 + 44. Let j = g - -6. Sort 0, j, 4.\nAnswer: 0, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*c**3 + 28*c**3 + 9*c**3 + 34*c**3 + 12*c**3.\nAnswer: 104*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-42)*-7*(-20)\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*f**2*k*l*m + 2*f**2*l + 252*f**2*m**3 + 5*f*k*m**2 - 42*f*l*m**2 - 2*f*l - 15*k*l*m + 2*l*m**3 + 2*m wrt f?\nAnswer: -10*k*l*m + 4*l + 504*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 154 = 7*a. Suppose -a*t = -28*t + w + 38085, -38085 = -3*t - w. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2886\/19 + -152. Let p(s) = 17*s. Let g be p(-1). Let f = g + 14. Sort -0.4, f, i in ascending order.\nAnswer: f, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.475055\nAnswer: 0.95011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000675555464 to seven dps.\nAnswer: 0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 84939 or 84942?\nAnswer: 84942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*w - 38*w + 1216 = 0. Suppose 0 = -7*o - 9*o + w. Solve o*g - 8 = 15*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 - 280*c + 8343. Determine f(43).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -11*z + 95. Determine c(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6216 divide 654366446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -r**5\/20 + 3*r**4\/4 + r**3 - 9*r**2\/2 + 3*r. Suppose h = 3*o + 30, -2*o + 28173 = h + 28178. Give x(h).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*g + 8*g + 10*g)*(2*g**2 - 4*g**2 + 4*g**2) as u + r*g**3 + z*g**2 + k*g and give r.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + (5*(-1*sqrt(243) + sqrt(243)) - sqrt(243)) - sqrt(243))\/(-3*(sqrt(9) - sqrt(144))))\/(-1*sqrt(81) + (sqrt(9)*-3*2 - sqrt(9))).\nAnswer: sqrt(3)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 605.3109 centimeters?\nAnswer: 6053109000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*(230\/250 + (-8)\/(-100)). Let k(h) be the second derivative of -1\/3*h**4 - 13*h + 0*h**2 - 4\/3*h**3 + g. Factor k(n).\nAnswer: -4*n*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**2. Let z(u) = 3 + 320*u**2 - 330*u**2 + 595*u**2 - 1 - 1. Calculate f(z(o)).\nAnswer: 1026675*o**4 + 3510*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11685 and 246?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-10) + (-2)\/5 + 4. Let l(f) = o*f**2 - 4*f**2 + 6*f + 3 - 4. Let w be (-1 - (1 - 4)) + 2. Determine l(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**2 - 52*c**2 - 51*c**2 - 2 + 2*c - 40*c**2 + 13*c**2 to the form k*c + j*c**2 + u and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3525 minus -2?\nAnswer: -3523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -16. Let y(q) = 13*q. Let z(x) = -7*x. Let h(k) = r*y(k) - 7*z(k). Let t(j) = -3*j. Let c(v) = -6*h(v) + 5*t(v). Let s(n) = -5*n. What is c(s(b))?\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 - -52. What is the remainder when 2\/(-8) + (-1743)\/(-28) is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g**3 + 1. Let j be 46\/8 + (-7)\/(-28). Suppose -8 = 3*s + p, 4*s - 2*p + j*p + 24 = 0. Let z be m(s). Solve -c - 1 = -z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 666\/193 + -441913\/1158. Let j = -379 - k. Let c = 11741\/52 + -2646\/13. Find the common denominator of j and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*o - 5*m, -o + 2*m = 5 - 1. Let h be 12\/(-15)*15\/o. Let c(k) = -2*k**2 + 4*k - 1. Let g be c(3). Sort h, -1, g in decreasing order.\nAnswer: h, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**2 - 4*k**2 + 3*k**2. Let p(w) = -147 - 2*w + 147. Let n(f) = f**2 + f. Let v(l) = -2*n(l) - p(l). Give v(h(q)).\nAnswer: -32*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m - 12. Let o be a(-4). Solve i - 6*i - 25 = o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3443 divided by 458504\nAnswer: -3443\/458504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of g**6\/3 - 62*g**5\/5 + 141*g**4 - 756*g**3 + 2133*g**2 - 3078*g + 718. Suppose o(j) = 0. Calculate j.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -376? (a) -1\/4 (b) -3 (c) 0 (d) 0.126\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 1. Let a be (-32)\/(-6) - 2\/6. Let k(h) = 9*h - 8*h - 2 + 3. Let f(s) = a*k(s) + 6*b(s). Differentiate f(o) with respect to o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351335393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 a factor of 563984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7376 - 2073 = w. Suppose 11064 = 13*m - w. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 1324789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u**4 + 2*u**3 + 6*u**2 + 6*u**2 - 13*u**2 as v + b*u**2 + r*u**3 + h*u**4 + s*u and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 5*w - 19, 5*d - 15 = 10*d - w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*p - 131*p + 2*p**3 + 262*p.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**2\/11 - 1572*f\/11 + 298816\/11 = 0.\nAnswer: 322, 464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 730, 5, 14, -4, -6 in increasing order.\nAnswer: -6, -4, 5, 14, 730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19b - 11091?\nAnswer: -10ab2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.16 - -0.078. What is y rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369366 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -39.1*-1.1919\nAnswer: 46.60329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(2\/19)*p**(-1\/6)\/p)\/(p**(-6)*p*p**(-5))*((p**5*p)\/p**(2\/3))\/(((p*p**(-4))\/p)\/(p**3*p)) assuming p is positive.\nAnswer: p**(2629\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 8*d**4\/5 - 508*d**3\/5 + 8424*d**2\/5 - 11036*d\/5 - 7688\/5 = 0.\nAnswer: -1\/2, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkkkwwkqwkwqk. Give prob of picking 2 w and 1 k.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**(-4\/3))\/(d*d**8))\/(d**(1\/2))**(1\/17))**(-35\/6))**(-1\/13) assuming d is positive.\nAnswer: d**(-33425\/7956)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*g - 20 = 0. Let o be (0 + -1)\/(2\/g). What is the common denominator of 32\/3 and (-25 - o)\/(-8 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2451 (b) 1\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -288*p**4 + 343*p wrt p?\nAnswer: -3456*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 9, l: 2, w: 3, d: 2}. Give prob of sequence lw.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249881242?\nAnswer: 2, 13, 1097, 8761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven halves of a gram in milligrams?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1750)\/(-42))\/(-25))\/((60\/(-10))\/(-270))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.8 + -0.8. Let d = 2029.8 + -2030.2. Sort d, b, 2\/15 in decreasing order.\nAnswer: b, 2\/15, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*m + 8*m + 918 = 0. Let a be (m\/68)\/(33\/8). Factor a*u + 4\/11 - 2\/11*u**2.\nAnswer: -2*(u - 2)*(u + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 7\/57?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -622351 (base 9) in base 8?\nAnswer: -1321013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -219 - -217. Sort -0.2, 4, n in increasing order.\nAnswer: n, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/292 and 97\/2744984.\nAnswer: 200383832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2060 and 737068.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 690130711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/7 + 97612*i\/7 - 1073490\/7.\nAnswer: -2*(i - 48795)*(i - 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162866394.\nAnswer: 2, 3, 293, 30881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**4 + 2*t**2 + 30 - 29 - 3*t**4 in the form r*t**3 + o*t**4 + i*t**2 + u*t + y and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 4 - -4 - (-15 - -8).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151 divided by -151.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*l - 48 = 54*l. Solve -12*p = -16*p - l for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8553.561kg?\nAnswer: 8553561000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-20 + 17 + -1 + 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -1484.8 and 338.3.\nAnswer: -1146.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1740904246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -84692979 and -140013.\nAnswer: -84832992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -5*n - 12, -n - 4*k = -5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-4))\/(2\/12*2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3*o)*(10 - 10 - 4).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*i + 5*b - 12, -2*i - 4*b + 32 = 0. What is the remainder when 3982 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1149 + 1380 = 21*d. Suppose -j - 5*u = -106, -5*j = -0*j + u - 602. What is the highest common divisor of d and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314494 > 314502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 10*v - 1. Let n(q) = -7*q**2 + 3*q + 2. Let d be n(-1). Calculate x(d).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1523, -3, 199, 4, 0 in ascending order.\nAnswer: -1523, -3, 0, 2, 4, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 10 - -4 - 1 - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/3 + 56\/21 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 - 0.3. Let w = 0.1 - q. Let y = w - -0.2. Which is the closest to 1\/2? (a) 0.2 (b) y (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -50473*m + 706596. Calculate p(14).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -88.73218 rounded to 0 decimal places?\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + a + 75, 0 = 3*a + 9. Let l be 8\/k - (-184)\/9. Calculate the highest common divisor of 80 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1441493 take away -0.5?\nAnswer: -1441492.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 15*f - 476. Let k = 4030 - 3979. What is the greatest common factor of k and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15453 is divided by 3858?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -25, 6, 73, 188, 363, 610?\nAnswer: 941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -5*q**7\/21 - 5*q**4\/12 + 9*q. Find the third derivative of m(d) wrt d.\nAnswer: -600*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 34, -17, -234, -701, -1502, -2721, -4442, -6749?\n\"Answer: -14*t**3 + t**2 + 44*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1585 divided by 5.\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*t + 2024 = -23*t. Calculate the remainder when t is divided by 56.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -5. Let g = -39 + x. Let r = -43.9 - g. Round r to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -77*d - 3. Determine j(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5822 + 7837. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31479 is divided by 1224?\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 5*i + 4*x, 0 = 111*x - 113*x - 2. Calculate the remainder when 300 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 8*y**2 + 3*y - 11. Let w = 6 + 2. Let r be x(w). Solve 0 = -2*m + l - r, -m + 3*l - 19 = -0*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -8885113?\nAnswer: -8885113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 2, 275233, -0.33.\nAnswer: -1\/2, -0.33, 2, 275233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -599256 divided by -696?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -92831 + 45*l + 36*l + 92357 wrt l?\nAnswer: 81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9877, 9733, 9589, 9445?\nAnswer: 9301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -117164.9793 - -116989. Let n = -176 - l. What is n rounded to three dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*c - 14*c = 288. Is 13 + 10\/(-4) + c\/36 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 6*s + 5. Let r be z(-6). Suppose -68 = -r*o + 2. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 + 7*o + 65. Calculate k(-6).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4187171?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37? (a) -3 (b) -2 (c) -704\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f**2 - 17*f - 35. Let q(s) = 10*s**2 - 32*s - 69. Let x(k) = -5*n(k) + 3*q(k). What are the prime factors of x(11)?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.01 in -369, -1\/4, -0.41?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-49)\/(539\/4))\/(270\/(-99)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 559 + -555. Let y = -5 + 15. Let s = y + -12. Which is the closest to 2? (a) -1 (b) w (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 32*q - 22*q. Let s = -9 - -11. Suppose s = q*f - 11*f. Solve -3*r - f = -4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from qrqqarqra?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3415 - 4?\nAnswer: -3419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(-189)*-6 + (-23078)\/(-7623). Is 4 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -0.2036423688622?\nAnswer: -2.2036423688622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 890 and 4628.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**2 + 7*i. Let d(z) = -9*z**2 - 4*z**2 - 3*z + 8*z - 7*z**2 + 18*z**2. Let v(p) = 7*d(p) - 5*j(p). Let l(n) = 354*n. What is l(v(f))?\nAnswer: 354*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1444248.\nAnswer: 2, 3, 13, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.013 + 0.467. Let k = -20.52 - l. Let i = k + 21.3. Which is the closest to 1? (a) -1 (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0\/q**(-1)*(q\/q**(-1))**(-2\/45))\/(q**(4\/7)\/q*q*q\/q**(2\/21)*q*q)**(-40) assuming q is positive.\nAnswer: q**(44087\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzfcyfcdyyfyfzfcfy. Give prob of picking 2 c and 1 y.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -15*c - 2. Let x(b) = -49*b**2 + 1. Give x(j(g)).\nAnswer: -11025*g**2 - 2940*g - 195","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 142\/(-213)*(12\/(-6))\/(1*10).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1268 - 1703 = 227*o + 661 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 8*y + 13. Let g(n) = 15*n + 25. Suppose -t + 74 = -9*x, 5*t + 5*x + 36 - 56 = 0. Determine t*f(c) - 6*g(c).\nAnswer: -2*c - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3\/4 + 745*h**2 + 82715*h\/4 + 70875.\nAnswer: 5*(h + 4)*(h + 25)*(h + 567)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 116 or 109?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eveeeevlceeweqeqle. What is prob of picking 2 e and 1 v?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0019246 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -32220330101 (base 4) to base 16\nAnswer: -3a8f11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1180700 and 250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -180 - -47. List the prime factors of v\/(-9) + (-8)\/(-36).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**4\/3 + q. Let f(h) be the second derivative of 0*h**2 - 10 + 0*h**3 + 1\/3*h**4 - 7*h. Calculate m(f(z)).\nAnswer: -64*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 403 (b) -3 (c) 0.7 (d) -21649\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -411*h - 336*h - 4*h**2 - 91*h + 1688 + 284*h - 282*h.\nAnswer: -4*(h - 2)*(h + 211)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**3 + 2*k**4 + 2*k**3 + (4*k**2 - 7*k**2 + 6*k**2)*(k**2 - k**2 + k**2).\nAnswer: 5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3042 - 63 - 1119)*(3*a**2 + 0*a**2 - 4*a**2) to the form s + i*a + n*a**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*x - 29*x = 1725. Let w(d) = -14*d + 203. Determine w(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26735 or 26732?\nAnswer: 26735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 4*r + 14. Let j = -97 + 81. Let p = j + r. Solve -4 = -4*k + c, -6*c + c = -p*k + 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 + (46 - (55 - -47)).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.31 - -25.69. Let d = -17 + v. Let r = d - 10. Which is the third biggest value? (a) r (b) 1\/9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 531 - 477. Suppose 5*x - 2*c = 270, 8*x - 7*x + 3*c = b. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6 + 9 + 2 - l**3 - 5*l**2 + l. Let u be x(-5). Suppose u = -2*f + 3*f + 5. Which is greater: -8 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6441721, 6441719, 6441717, 6441715, 6441713?\n\"Answer: -2*l + 6441723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -24*z + 789. Calculate the remainder when 75 is divided by n(31).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/(-4))\/((-3)\/48). Let y = n + 14. Let i(m) = m**2 + 2*m - 15. Let c be i(y). Calculate the greatest common factor of c and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3064058.\nAnswer: 2, 1532029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.01, 366, 7, 2\/7?\nAnswer: 366","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/50204 and 55\/24.\nAnswer: 301224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + w. Let a(z) = -108*z**2 - 30*z. Determine 2*a(b) + 60*c(b).\nAnswer: -156*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(51) + (sqrt(2499) + (sqrt(2499)*-1 - sqrt(2499)) + sqrt(2499) - sqrt(51) - sqrt(51)))\/sqrt(3)*-2.\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n = 16*n + 896. Let h = 8 + 0. Is (-42)\/h*n\/(-42) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135342 take away 258111.2?\nAnswer: -393453.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n**3 + 6*n**3 + 21*n**3 - 13*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00394621 to 4 decimal places.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -39*m**2\/2 + 4365*m\/2 + 118500 = 0. What is m?\nAnswer: -40, 1975\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-320)\/(-8192))\/(((-77)\/11)\/(-56)).\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -22890924 times 10\nAnswer: -228909240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 2*m - 1. Determine s(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -2*m**7\/21 + 8*m**6\/15 + 79*m**5\/5 - 526*m**4\/3 + 536*m**3 - 720*m**2 + 1980*m + 2. Determine n, given that y(n) = 0.\nAnswer: -10, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - 10019\/(-602))*24\/(-5)\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -3)\/(2\/(-34)). Let q = 28 + m. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.117 + -101.117. Let o = w - -100.959. Round o to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 11:01 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 72 = -6. Let o = h + -37. Is (-5)\/((-25)\/o) - -118 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 z when two letters picked without replacement from ggzgzgko?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1121 + -1118.3. Is t less than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 9*b**2 - 25*b + 21. Let a be r(11). Suppose 0 = 4*z - 0*g + g + 69, -g + 39 = -2*z. Let c = a - z. 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: Which is the closest to -2\/11? (a) -0.3 (b) 5 (c) 2\/5 (d) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*d = -4036 - 1969 + 1853 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2907006 divided by -1\nAnswer: -2907006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (34 - 1196\/39)*(-6)\/(-5). Put -2, 1, u, -6 in descending order.\nAnswer: u, 1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 15*b**2. Let f(c) = 7490 + 7484 - 14973 + 70*c + 91*c. What is j(f(g))?\nAnswer: 388815*g**2 + 4830*g + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6025.9*0.136\nAnswer: 819.5224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39*f**2 - 14\/3 - 73\/3*f.\nAnswer: (9*f - 7)*(13*f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glu when three letters picked without replacement from alalukkgahhahaa?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5)*y)**(1\/23)*(y*y**(-24)\/y)\/y**(-19\/5) assuming y is positive.\nAnswer: y**(-2343\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9728 is divided by 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wohmukmouhwmmmmmmmm. Give prob of sequence uuko.\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28602 divided by -3178.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(1\/(-2) - 1). Let t = r + 11. Let j = -0.3 - -0.4. What is the biggest value in 4, t, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -127 = -127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/7)*x*x**7)\/(x*x*x*x\/x**0*x)**(3\/8)*((x**(1\/13)\/x)\/(x**(3\/5)*x*x))**(-2\/39) assuming x is positive.\nAnswer: x**(874873\/141960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2*8\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -1\/42*n**8 + 0*n**5 + 0*n**6 + 1\/24*n**4 + 0*n + 0 + 0*n**3 + 14*n**2 + 0*n**7. What is the second derivative of d(g) wrt g?\nAnswer: -160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27211695*t**2 - 12689*t - 1 wrt t?\nAnswer: -54423390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from {i: 1, r: 1, n: 7, j: 2, z: 2, e: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140, 691, 1670, 3119, 5080, 7595, 10706?\nAnswer: 14455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*b + 4*b + 3*b + 2*b - 3 + 3 + (-5*b + b + 2*b)*(-3 + 4 - 2) - 5 + b + 5 in the form v*b + k and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -51824, -103582, -155278, -206912?\n\"Answer: 31*t**2 - 51851*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 2*c**2 + 3*c + 4. Let b be h(-3). Suppose 3*a + 227 = 4*p, 0*p - b*a + 33 = p. What is the remainder when p is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/((p\/((p*p*p**(-2\/9))\/p))\/p)*p)**(-19\/2)*(p*p**(-1\/2))\/p*p**(2\/27))**(-2) assuming p is positive.\nAnswer: p**(1961\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 32835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 171436.9254 rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 3, 4, -1\/2, -0.0655 in ascending order.\nAnswer: -5, -3, -1\/2, -0.0655, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 292*h + 16359. Determine y(-55).\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b\/(b*b\/(b\/(b*b\/(b*b\/b**1)*b))))\/b)**(1\/20)\/(b**1)**(1\/7)*((((b\/(b*b**(1\/4)\/b)*b)\/b*b)\/b)**(-1\/17))**18 assuming b is positive.\nAnswer: b**(-617\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9596*k + 2*c = 9595*k - 12, -3*k - 4 = -2*c for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s**3 + 11*s**3 - 8*s + 8*s.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 1 - 7*v - 79999\/2*v**2. Let x be u(7). Round x to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1839 + 987. Let u = 1948 + g. What are the prime factors of u?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14835067, 29670145, 44505223, 59340301, 74175379?\n\"Answer: 14835078*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 6\/745?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4 = -20. Let y(c) = 18*c. Let u be y(-1). Let q be (-20)\/(-9) - (-4)\/u. Solve 4*m + 8 = 0, i + q*m + k = 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 577.8828?\nAnswer: -2889.414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - k + 4224 = 2*j, -2*j + 4226 = 2*k. What are the prime factors of j?\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8 - (22 - 13))*(-1072 + (-4)\/2). Which is greater: d or 1072?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s**2 - 90*s**3 - 43*s**2 + 31*s**2.\nAnswer: -90*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d - 1. Let m(p) = 3 - 1 - 3*p + 2*p. Let l(b) = -2*f(b) - 3*m(b). Suppose 5*g + x = -38, 101*g = 103*g - 2*x + 8. Determine l(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -51779 or 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than or equal to -80\/111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 71 = 4. Let d(f) = -15*f - 6 + 11*f - 8. Calculate the common denominator of -31\/2 and d(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hq when two letters picked without replacement from {h: 5, q: 1, k: 3, m: 9}?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 2070000 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 23, -9, -10, 13 in descending order.\nAnswer: 23, 13, 4, 3, -9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 714 and 119?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 3. What is the remainder when (65\/10)\/(2\/4) is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*y = -4*x - 48, 116 = -5*x - y. Let p(a) = a + 35. Let r be p(x). Let i(m) = -2*m - 10. Let j be i(-6). Solve 0 = -j*u - 2*u + r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -4200310?\nAnswer: 4200312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1020222 + -20?\nAnswer: -1020302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5989743?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 10 = -4. Suppose -4*n = -w*n + 1470000. Round n to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 3, b: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-523)\/(-15) + (128\/(-60))\/(-16). Suppose m = 18*v - 55. Solve -10 = -5*w - v*c, -w - 3*c = c - 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3112, 3115, 3118?\n\"Answer: 3*q + 3109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 429\/1145 - 40\/229. Let n = 7 - -13. Sort n, h, 0.4, 5 in ascending order.\nAnswer: h, 0.4, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 + 4*r + 4. Let t be n(-1). Solve -12*p + t = -10*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15\/4? (a) -162 (b) -0.2 (c) -5 (d) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(84) - sqrt(84)*2)\/sqrt(12)*1 - sqrt(21)\/(sqrt(27)\/(sqrt(36)\/sqrt(4)))).\nAnswer: -2*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(114)\/(sqrt(24)\/sqrt(4)))**2 + 1.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1728) + 4 + (sqrt(363)*1*1 - (sqrt(363) + -1)*-4)**2.\nAnswer: -392*sqrt(3) + 9095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2 - 37*i + 23. Let r be h(18). Suppose 3*m + r*x = -m + 47, 2*x + 26 = 4*m. Let s = 49951\/8 - 6236. Which is bigger: s or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4274*b - 7396*b - 4166*b - 338119 - 274073 for b.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/12 - 1\/(-4). Let l(f) = f**3 - f**2 - 3*f + 31. Let j be l(z). Suppose 29 = -10*s - j. Which is greater: -17\/3 or s?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*j - 384, -6*j + 519 = -2*j - x. Let m = -50 + j. Suppose -916 = -5*i + m. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)*f)**7\/(f**(4\/7)*f**(3\/7)*f*f*f)*(f**0*f)**(-5\/19)*((f\/f**0)\/f*f)**(-20) assuming f is positive.\nAnswer: f**(-594\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48*x**2 - x - 17*x - 52*x + x wrt x?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 12:43 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, -1, 5, -22 in ascending order.\nAnswer: -64, -22, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 77558261?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 - 151420?\nAnswer: -151444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 - 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 20 = 2*m, 0 = 4*m + 20*r - 16*r - 40. Solve m*v + 0*v = 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -27685, -55371, -83057, -110743, -138429, -166115?\n\"Answer: -27686*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 11:44 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 146970 and 3856065?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 c when two letters picked without replacement from dqvxdqjdvjjvvcxjddc.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 240 + -166. Let y = s + -73. Let z(h) = 3*h**3 - 1. Let j be z(y). Solve -2*q + 20 = -j*n - 3*n, 2*q - 2*n - 14 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59 + 119. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3580 divided by -716.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31321 (base 4) to base 6.\nAnswer: -4041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-109 + 4 - -107)*(-31)\/2?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((((2*sqrt(125) + sqrt(125))*3)\/sqrt(5))\/(2*2*sqrt(20)) + -1)**2 + 5.\nAnswer: -27*sqrt(5)\/4 + 1727\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*y - 17*y - 630 = -34*y for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 20. Let i = 7 - -4. What is the remainder when i is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2. Let q = i + 1. Let f = -4001\/31 + 129. Which is greater: q or f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3505 less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/7)\/a)\/a**(-2\/25) assuming a is positive.\nAnswer: a**(-86\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykunuuuupuunkyuuuuk. Give prob of picking 1 y, 1 u, and 1 n.\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-916)\/168 - (-4)\/14) + (-14)\/(-84)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -410*h + 65. Is 37 a factor of n(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4149 divide 91762159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 5*t**2 - 355*t - 1110 = 0.\nAnswer: -3, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36391 + -11864. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -2, 2\/23, -2\/3, 1203 in ascending order.\nAnswer: -2, -2\/3, 2\/23, 4\/5, 1203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*d - 6 = -49*d. Is 11158\/21*d\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4780314 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 4, -4 in decreasing order.\nAnswer: 5, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 0*t = t. Suppose 2*c + 2*c + 20 = t. Let k(b) be the third derivative of -b**4\/24 - 5*b**3\/6 + 8*b**2. Give k(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gffgffflgfgwfff. Give prob of picking 1 g, 1 l, and 1 f.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1236769474?\nAnswer: 2, 37, 941, 17761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r + 16 - 163. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -10*r + 14. Calculate i(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g**2 + 2*g - 2*g + 8238 - 8238.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 6*j**2 - 7*j + 5. Let x be m(-7). Suppose -2*g = 3*g - x. Let a = g - -13. Is a a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-10 + (2 - -12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 8, d: 5, o: 2}. Give prob of sequence vdo.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 762529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -11*s**5\/30 - s**4\/24 - s**3\/2 + 14*s**2. Let t be r(3). Let w = t + 299. Is 19 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 + (-1 - -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 9*j**2 - 12*j + 19. Let t be q(-7). Solve -3*o + 6 = t*z, o = -2*z + 6*o - 10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.5 (b) 5 (c) 2 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5425 is divided by 259.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 702375189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5*o**2 + 5*o - 1. Let i(t) = t**2 - 1. Let s(a) = -4*i(a) - k(a). Suppose 0 = -3*y - 2*z - z + 6, -5*z = 3*y - 2. Determine s(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h. Let m be n(-4). Solve f - 15 = -m*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - 1) + 7\/630*472371. Let r = t + -5247. Find the common denominator of r and (92\/15)\/(2\/5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpz when three letters picked without replacement from {k: 1, w: 1, i: 1, p: 1, z: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-60)\/4)\/(1 + 0 - 0). Let t = f + 93. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (16 + (16 - 32) - (0 - -1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -123 + 130. Suppose -5*z = -2*p + 280, -5*z + 530 = y*p - 3*p. Calculate the highest common divisor of 10 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -954, -2075, -3268, -4533, -5870, -7279?\n\"Answer: -36*y**2 - 1013*y + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -45, -14, -1\/9, -0.2, 4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 17 - (18 - 7) - (-1 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/2, -0.3, -1\/8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 14*l**2 - 15*l - 9. What is m(-13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 + 620*c**2 + 622*c.\nAnswer: -2*c*(c - 311)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.8 + -0.3. Let s = b - -0.1. Let y = s + -0.3. Round y to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/j**12))\/(j**6*j) assuming j is positive.\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -333 + 333. Let v(q) = q**3 - q + 31. Calculate v(a).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g**3 - 8*g**2 + 8*g - 31. Let o(d) = 7*d**3 + 14*d**2 - 17*d + 62. Let r(i) = 3*o(i) + 5*q(i). What is the remainder when 276 is divided by r(0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 80 (b) 5 (c) -29672 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -j + 4*l - 2*l, 45 = 2*j + 3*l. Let s = j + -15. Is 9 a factor of 371\/42 + 1\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -261, -259, -257, -255?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*l - 8037 + 42854 = 0. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 24.0846 millilitres?\nAnswer: 0.0240846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.133*-7.\nAnswer: 0.931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 494441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -185646.\nAnswer: 2\/92823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/4 of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1847*c**2 + 0*c + 0*c + 1841*c**2.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 59*l**2 - 388*l + 130. What is s(-65)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*u + 5*u**3 - 266*u.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -24 + 2. Let f be (18\/(-8))\/((-4)\/352). Suppose 3*k = k + f. What is the highest common factor of k and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**2\/2 - 138291*t - 276584 = 0. Calculate t.\nAnswer: -2, 276584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 + 377. Suppose -2*h - 825 = 3*h. Let x = c + h. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392 is divided by 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 a factor of 4029326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -2*z - 3*q + 89, -1 = q. Suppose 0 = -24*g - z + 21317. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10*(0 - (-12)\/10). Suppose 0 = 4*i, -4*z - 5*i - 2 = 70. Calculate the least common multiple of z\/g - 38\/(-4) and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 101110100?\nAnswer: 101110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 6*q**2 - 8*q + 8. Suppose 18 = -2*s + 4*o, 5*s + o + 25 + 9 = 0. Calculate r(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 2\/2 + 5 - 12\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**2 - 119*u + 3353. What is m(18)?\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(2 + -3) + (-3 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = p - 356. Suppose 2*z - 324 = -f, -2*f = z - 70 - p. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -6. Let f = -6 + j. Is f != -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -54, -83, -108, -129, -146, -159?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*j**2 + 1470 - 31*j**2 - 661 - 2*j**2 - 809.\nAnswer: -66*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0) + (-65 - -69) - (7 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1.1, 7\/2, -503, -0.1 in ascending order.\nAnswer: -503, -1.1, -0.1, 0.3, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 - 399*r + 420. Give b(0).\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g + 10 = -1. Put -4, 12, g, 4 in ascending order.\nAnswer: -4, g, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(190)*3)\/sqrt(10) - sqrt(38)\/sqrt(2)*-3)*-5.\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2884104, 2884102, 2884100?\nAnswer: 2884098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ses when three letters picked without replacement from {r: 1, s: 2, e: 1, p: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 2*h - 1029. Calculate the smallest common multiple of 1107 and h.\nAnswer: 4428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-3 + 3 + w)*(57*w + 493 + 495 - 988).\nAnswer: 114*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**3 + 2*v**2 + 4*v. Let p(j) = -2*j**3 - j**2 - 3*j. Give -5*m(y) - 6*p(y).\nAnswer: 2*y**3 - 4*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 17, -76, -227, -442, -727, -1088, -1531?\n\"Answer: -m**3 - 23*m**2 - 17*m + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**3\/5 + 140186*q**2\/5 - 280366*q\/5 + 140182\/5 = 0.\nAnswer: 1, 70091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153 at most as big as 1155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/90 - 974\/90 and 148\/6 + (-16)\/(-32).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - -13. Calculate the remainder when 65 is divided by g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 50, 41, -1, -56?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 12) in base 4?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2775 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(810) + -4*(sqrt(810)*-1 + sqrt(810)))\/((-2*sqrt(16)*4)\/sqrt(8)).\nAnswer: -9*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 832433421 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2193 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 3\/(-6))*19\/(38\/(-28))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d*d\/d**1*d)\/d)**0\/((d**10\/d)\/(d**(10\/7)\/d)) assuming d is positive.\nAnswer: d**(-60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3912*c + 975*c - 5402*c - 2 - 2605*c - 155*c. Let p(q) = -2*q**2. What is p(g(k))?\nAnswer: -246375602*k**2 - 88792*k - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -41 + 40 - (-9)\/3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (2\/(-5) + (-39)\/65)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001578 rounded to 5 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-9) - 0)*6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 125*d + 126*d + 36*d**4 - 47 - 374*d + 123*d - 5*d**2 wrt d.\nAnswer: 864*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 367 divided by -159093.\nAnswer: -367\/159093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*d = 91*d - 662 - 122 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bubbbublbubbbktbbtbk. What is prob of sequence ubut?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8046.6 + 8047. What is the nearest to -0.1 in 1\/2, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1059 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 - -2 - (-78)\/(-16) and (1130\/(-80))\/(3\/(-2)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 61544283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70 + -24. Suppose 503 = 9*u - d. Let o = u + -51. Solve -k + 6*k - o = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**4\/6 + 3*y**2\/2 - 2*y. Let t(s) = 2*s**2 - 2. Let z be (-183)\/(-61)*(-8)\/(-6). Determine z*t(d) + 3*c(d).\nAnswer: 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -7ac8?\nAnswer: -7aca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 14*l - 11. Let r be w(15). Let z(g) be the first derivative of 1\/6*g**2 - 1\/9*g**3 + 2 + 0*g - 1\/12*g**r + 1\/15*g**5. Factor z(c).\nAnswer: c*(c - 1)**2*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (-1*sqrt(192) - sqrt(192))*1)*1 + 0 + 2*sqrt(192) + sqrt(192) + (sqrt(192) - (-1 + sqrt(192) + -1 + sqrt(192))) + 2)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*j - 2*q - 20, -31 = -5*j + 4*q. Let l = 7 - 3. Suppose l*u + 10 = 6*u. Solve 0 = -2*h + j*h + u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*o + 5*o - 32*o)*(-4 + 2 + 10) to the form y*o + s and give y.\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1814, 8193, 25550, 59387, 115206?\n\"Answer: 917*g**3 - 13*g**2 - g + 911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 4*b - 3*b)*(b + b + b)*(-4*b + b + b)*(-6*b + 3*b + 4*b).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 7. Let q = 1 - -2. What is the remainder when q is divided by m(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4440 and 20350.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p**2 - 18*p + 1. Let z(t) = -4*t + 1. Let b(u) = -x(u) + 5*z(u). Give b(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 n when four letters picked without replacement from lnlnlllnllnnlnnnnnnl?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-298497)\/31020 + (-13 - -23) + (-6)\/40?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.89 - 0.11. Let l = -5 - v. Which is bigger: l or -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4000 and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 6:49 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -77660*n**3 - 75*n*z + 46207057*z with respect to n.\nAnswer: -232980*n**2 - 75*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 23 + 68 - 103.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 687 - 677. Put -2, w, 1 in decreasing order.\nAnswer: w, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**2 - 1109*d + 10016. Give q(-286).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*l**2 - 260*l + 260*l to the form o*l**2 + u*l + j and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -43, 86, -1 in ascending order.\nAnswer: -43, -28, -1, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37210\/7 - 5347. Suppose 412*w = 439*w + 837. Let q = o - w. Which is the smallest value? (a) -3 (b) -1 (c) 2\/7 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 0 + 3*u + 2 + 8*u - 2*u. Let k(v) = -242*v - 55. Let x = 37 - 92. Let b(a) = x*p(a) - 2*k(a). Let w(q) = 2*q**2. Determine w(b(m)).\nAnswer: 242*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/13 (b) 325 (c) -2.24 (d) 3 (e) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248 + 757 + 10*x - 254 - 255.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**3 + p**2 - 19. Let r(b) = -2*b**3 + 15. Give -5*k(l) - 6*r(l).\nAnswer: -3*l**3 - 5*l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 x when two letters picked without replacement from {x: 2, z: 1, q: 6, f: 5, r: 3, n: 2}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -7 (b) -1 (c) -231\/2 (d) 1 (e) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**3 + 40*l**2 + 128*l - 19. Give r(-15).\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5762498 to the power of 1\/2, to the nearest integer?\nAnswer: 2401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 24150 to the power of 1\/2, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 219 by -234.\nAnswer: -73\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -4918 < -4914?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -266 + 279. Suppose 4*s - 20 = -q, -4*s - 3*q + 10 = -18. Calculate the remainder when r is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 455930\/7 + -65133. Suppose 2*d - d = -1. Put -0.5, d, c, -2\/3 in increasing order.\nAnswer: d, -2\/3, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 179330.\nAnswer: 358660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -29640?\nAnswer: -29638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18994 and 94172252.\nAnswer: 94172252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**5\/7 + 36*s**4\/7 - 424*s**3\/7 - 11664*s**2\/7 - 9472*s - 16128 = 0?\nAnswer: -14, -4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 18. Suppose -6*f + 3*f + s = 0. What is the closest to f in -3\/4, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(936) + sqrt(936) + sqrt(936) + sqrt(936))\/(2*sqrt(6)\/sqrt(3)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 6:02 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (358\/(-4117))\/((-7)\/23)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1152 - -1157. Let b(n) be the second derivative of -17\/6*n**3 + 0 + 0*n**2 + 0*n**4 - 1\/4*n**r + 15*n. What is the second derivative of b(j) wrt j?\nAnswer: -30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q. Let h(p) = -2*p + 1. Let o(m) = -m + 1. Let l(t) = 4*h(t) - 7*o(t). Let s be l(-4). Let b(z) = -3*z**2 + s + 3 - 4. Give n(b(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 7*z**2 + 162*z - 702. Let y be g(4). Sort y, -21, -3, -4 in increasing order.\nAnswer: -21, y, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 0*n**4 + n**2 + 0 + 0*n**3 + 1\/2352*n**8 + 1\/420*n**5 - 1\/1470*n**7 - 1\/840*n**6 + 0*n. Determine c so that f(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 198a + 4?\nAnswer: 1992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/1269?\nAnswer: 2\/1269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 2, 3, -1 in descending order.\nAnswer: 3, 2, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + b - 1. Let x be d(-3). Let k = -5 + x. Suppose z - 2*o + 8 = 0, -3*o = z - 9 - 3. Solve -i + 3 = z, k*w - 4*w - 4*i + 28 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27279 and 3464?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294 - 163 - 44*z + 31*z - 131.\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 + b**3 + 0*b**3)*(-5*b + b + 3*b) - b + b**2 + b**4 + b.\nAnswer: -b**4 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*p + 2236 = 0, -p + 0*p + 2212 = q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -17536, 5, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 768 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 242 divided by -1?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 240976 - 48960 = 81*f. List the prime factors of f.\nAnswer: 2, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 75788081\nAnswer: 4\/75788081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*a - 177 = 160, -987 = -3*g - 4*a. List the prime factors of g.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4202305.\nAnswer: 5, 523, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61 - 92 + 54)*(21*g**2 - 417*g + 417*g).\nAnswer: 483*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2025 and 950.\nAnswer: -1075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 3*y - 171. Suppose 2*r + 5*j - 176 = -r, 2*j = -r + y. What are the prime factors of r?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -676 * -0.1.\nAnswer: 67.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-25\/2)\/j*(j\/(j**(-2\/53)*j)*j)\/j assuming j is positive.\nAnswer: j**(-1427\/106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1591231999 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2736) + (sqrt(2736) + -2 - sqrt(2736)) - sqrt(2736) - sqrt(2736)) + (sqrt(2736) - (-2 + sqrt(2736)*3 - sqrt(2736))) + sqrt(2736))**2.\nAnswer: 1440*sqrt(19) + 68544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1, -5, -17, -37?\n\"Answer: -4*w**2 + 8*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**2 + 19*w - 12. Let i be z(6). Let f(s) = s**2 + 5*s - 2. Let p be f(-5). Sort p, i, -3 in ascending order.\nAnswer: i, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -45*f - 45. Determine m(-3).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/2)\/((-4)\/(-144)). Let x be 3\/((12\/d)\/((-188)\/(-6))). Let s = -78 - x. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -163, -330, -497?\n\"Answer: -167*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 + 4*x + 3. Let h(s) be the third derivative of -11*s**5\/60 - 23*s**4\/24 - 17*s**3\/6 - 4*s**2. What is -6*h(q) - 34*n(q)?\nAnswer: -2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -417 divided by -10\nAnswer: 417\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -118135*p**2 + 1000*p - 75.\nAnswer: -236270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -37038 (base 9) to base 16\nAnswer: -60f5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17363 - 17363.00000009809. What is h rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.7 - -12.4. Let x = 6.08 - 0.08. Let p = w - x. Put 0.3, -0.5, p in ascending order.\nAnswer: -0.5, p, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v - 9*v - 5*v)*(-3 + 6 - 1) - v + 2*v - 4*v + 0*v + 3*v - 4*v.\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**2\/5 + 4986*z\/5 - 2492\/5 = 0. What is z?\nAnswer: 1\/2, 1246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -575270 divided by 57527\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1220102 is divided by 61.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c0026 (base 13) to base 9.\nAnswer: -572158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-30))\/((-11)\/((-385)\/21)). What is the biggest value in -2, g, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {x: 2, h: 3, f: 4}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.148813 rounded to 3 decimal places?\nAnswer: 0.149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2112 and 77092752.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + 35. Let t(y) = -y**3 + 8*y**2 - 13*y + 5. Let u be t(r). Calculate the greatest common divisor of u and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49444.91 years to centuries.\nAnswer: 494.4491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) - (sqrt(15)\/sqrt(5)*-2)**2 - (sqrt(36)\/sqrt(3))**2 - (sqrt(192)*-1*-5*1)**2.\nAnswer: -4824 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -5. Suppose 45 = 2*x + 2*y - 5*y, g = 5*y - 25. Suppose -5*m + 36 + 14 = 0. Calculate the highest common divisor of m and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -29*r + 72. Let s(z) = 240*z - 575. Let v(l) = 25*m(l) + 3*s(l). Let x(w) = 2*w - 25. Calculate 3*v(y) + 8*x(y).\nAnswer: y + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 101512, 203015, 304518, 406021?\n\"Answer: 101503*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/11)\/(k\/(k**1\/k))*(k**(-2\/17))**7 assuming k is positive.\nAnswer: k**(-324\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**21)**(-2\/21)*(u\/(u**16*u))\/(u*u**(-1\/3)))**(-6\/23) assuming u is positive.\nAnswer: u**(112\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1623, -3230, -4837?\n\"Answer: -1607*f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*q**2 + 23*q**2 + 81*q**2 - 2 + 75*q**2.\nAnswer: 140*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 99 - 97. Let r(a) = 6*a + 2*a + q*a + 4*a. Let j(w) = -2*w. What is r(j(b))?\nAnswer: -28*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 3, -g + 2*g = 3*a + 5. Suppose z = -0 + 2. Let v(u) = 1 + 0 - g*u**z - u**2. What is v(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 + 145 - 3*k**3 - 42 + 6*k**3 - 31.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - (3 - 3)) + -2 + -2. Suppose 0 = -d - 3*r + 102, -c*r + 324 = 3*d + 53. Let j = -80 + d. Calculate the remainder when 11 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, v: 2, b: 5, i: 1, f: 9}. What is prob of sequence bicf?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - d = 23, 27 = 2*y - 4*d - 11. Let o(m) = -5*m + 28. Let a be o(y). Let c = a + 24. What is the remainder when 38 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 3*g**5 - 5*g**4\/2 - 125*g**3\/3 + 70*g**2 + 60*g - 59. Suppose l(c) = 0. What is c?\nAnswer: -3, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uzzyzuzzzzll. What is prob of picking 1 z, 2 u, and 1 l?\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 8:40 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -3, 2, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-16)\/(-3 + -1))\/1. Suppose -9 = q - a*q. Suppose 7*t = 5*t. Solve q*l = t, -f - 4*f = -2*l for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 6*z**2 - 719*z + 21279. Calculate o(64).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 607832 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55*y**2 - 136308*y**6 - 80*y**2 + 136195*y**6 wrt y?\nAnswer: -13560*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -353*j + 23*j - 348*j + 671*j.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167607, 335390, 503173, 670956?\nAnswer: 838739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(-2)\/((-4)\/(-2)). Suppose 4*s - 14 - 22 = y. Is 9 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**3\/6 - 29*y**2\/2 + 2*y + 97. Determine t(0).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3849122 is divided by 1440.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*t - 5*w, 6*t - 9 = t + w. Suppose t*r + 3*m = -12, 3*r - 2*m = -m + 4. Suppose 3*s - 10 = 2*c, r*c + 5 = -c. Solve s*o - o - 2 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -77 - -79. Let y = -50 + 53. Let r = -0.1 - 0. Which is the nearest to o? (a) 5 (b) r (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10220100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 43 (c) -0.1 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.13, 0.4, -5, -296 in descending order.\nAnswer: 0.4, 0.13, -5, -296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03000481 rounded to three decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 143 - 123. Sort 7, b, 5, 2 in ascending order.\nAnswer: 2, b, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01527212 rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9373?\nAnswer: 7, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235*k = 232*k + 1134. Calculate the greatest common factor of k and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5215 + 5212. Let z(k) be the third derivative of k**6\/120 + k**5\/15 - k**3\/6 - 3*k**2. Determine z(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77154 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -24*o**2 - 2*o - 832. Let r(x) = -29*x**2 - 2*x - 830. Calculate 6*c(y) - 5*r(y).\nAnswer: y**2 - 2*y - 842","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 5. Give y(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5547568, 5547574, 5547572, 5547556, 5547520?\n\"Answer: -r**3 + 2*r**2 + 7*r + 5547560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-2) - 0)*2. Suppose 0 = -2*h + 4*d + 22, -h + 19 = -3*d + 3. Let i = h - y. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/27 - 128\/3. Suppose 7*k = 5*k - 172. Let n = t - k. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-14))\/((-3)\/63*-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19027 is divided by 3592.\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**5\/40 - g**4\/24 - g**3\/6 - 3*g**2. Let i(q) be the first derivative of p(q). Find the first derivative of i(c) wrt c.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 287.017 to the nearest integer.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004662743 rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48672)\/892788 - (-20)\/970.\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.011779534147575574 + -5313113770.011779144147575574. Let n = 5313113745 + q. Let j = n - -25. What is j rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*o + 89 - 39, 30 = 2*a - 2*o. Calculate the highest common divisor of a and 13851.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c. Let z = 20 + -16. Let j(n) = n**2 - z*n**2 + 2*n**2 - 3*n**2. Determine j(p(i)).\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5104.02 and 0.352?\nAnswer: 1796.61504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + 59. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n + 4*n + 6*n + 2 + 2*n**2 - 3*n**3 - 9*n as h*n + z*n**3 + r*n**2 + w and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -15, 0, 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 434.4424s to nanoseconds.\nAnswer: 434442400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 4:58 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (105\/(-12))\/(((-2597)\/56)\/53).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a microgram in nanograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*f - 5 = -5*c - 55*f, -2*c + 2 = 5*f. Let b(n) = 35*n**2 - 3*n + 2. Determine b(c).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 295 - 165. Suppose -g - z = -6*g. Let p = -13 + g. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 72 = 4*q - 0*q, 0 = -4*k - q + 144. What are the prime factors of (k\/(-60))\/(1\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -114.013 - -113.5. Let v = k - -0.113. Which is the nearest to 2\/5? (a) v (b) 1 (c) 3 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -1, 2, 31\/20, 22, -4 in increasing order.\nAnswer: -4, -2, -1, 31\/20, 2, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6352 divided by -16.\nAnswer: -397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 15 = 13. Let g be m\/((-14)\/(-6)) - 0. Solve -o - i + 4 = 0, 4*o + g*i = 8 + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4905594*l**2 - 8142082*l wrt l?\nAnswer: -9811188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*r + 63*r + 91*r - 9*r.\nAnswer: 170*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 68225.4 nanograms?\nAnswer: 0.0682254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-28)\/(-28)*(-1 + 0). Suppose r*q - 31*q + 560 = 0. Calculate the highest common factor of q and 320.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3 - 5*q**4 - 2 + 12*q**4 + 3 wrt q.\nAnswer: 28*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2522\/(-6006)*-21)\/(2\/(-22))\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*h**2 + 28.\nAnswer: -32*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s - 4. Let h(i) be the second derivative of -i**2\/2 + 2752*i. Determine -6*h(z) + 2*m(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*r - 3*b = -69*r - 24, 3*r + 8 = b. What is j in 1\/2*j**3 - 1\/6*j**4 + 1\/6*j + r - 1\/2*j**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -9.5. Let d(a) = -a + 8. Let r be d(12). Let b = 0.5 - 0.9. What is the closest to c in 0.1, r, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*v + 5*h, -5 = -2*h + 1. Suppose 65*m - 55*m - 280 = 0. Calculate the remainder when m is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 3*q = 2*l + 2, 5*l - 4*q = 18 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.9859 - 160.9716. Let n = z - -175. What is n rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364 = -30*m - 22*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-8\/5)*(c*c**(1\/13)*c*c)\/c)\/((c\/(c\/(c*c**30*c)*c*c))\/(c*c**34\/c)))**(-45) assuming c is positive.\nAnswer: c**(-2619\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * 0.3528.\nAnswer: -0.021168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -3*d**4\/4 - 11*d**3\/6 + 17*d**2\/2 - 6*d + 1. Let b(n) = 3*n**2 + 4*n - 6. Calculate 11*b(l) + 4*y(l).\nAnswer: -3*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1)*(40\/12)\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-1))\/(21*20\/5040*-12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10391, 10393, 10395, 10397?\nAnswer: 10399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 + -0.5. Let j = i + 1.9. Which is bigger: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 491, 450, 409?\n\"Answer: -41*u + 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 8. Let p(h) = -h**3 - 6*h**2 - 5*h + 8. Let k be p(u). What is the third derivative of -3*a**4 + 6*a**4 + k*a**4 - 20*a**2 wrt a?\nAnswer: 264*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*j + 2 = j, -5*i + 4*j = 19. Suppose 17*g - 29*g = -60. Sort i, g, -2, -5 in decreasing order.\nAnswer: g, -2, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 977 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -25.3 (c) -0.3 (d) -2\/7 (e) 26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 8:37 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 2:53 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a - 61. Let c(v) = -30. Let k(p) = 5*c(p) - 2*w(p). Let n be k(-14). Factor -8\/5*i**3 + n*i**2 - 2\/5*i**5 + 0*i - 8\/5*i**4 + 0.\nAnswer: -2*i**3*(i + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/(-3)*(-2)\/(-4). Suppose 7*u = 3*u - x + 4, 3 = 3*u - 3*x. What is the units digit of (u\/(-4) - 1)*f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -170*b - 91*b + 39*b - 48*b to u*b + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -75.47 - -75. Let i = -0.37 - v. Which is smaller: i or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**3 - 3*u**3 + 2*u**3 + (0*u + 0*u + u**3)*(-1 + 3 - 1) + (-695 + 695 + 142*u)*(-4*u**2 + 2*u**2 + 0*u**2) as t*u + d + i*u**3 + f*u**2 and give i.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7105 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -61028513.\nAnswer: -6102851.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 != 3.4696?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrrxrrxrrx. Give prob of sequence xrx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 118753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**6\/24 - k**5\/60 + k**2. Suppose 14 = -83*h + 97*h. Let p be m(h). Let q(g) = 3*g + 8. Determine q(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 95 = 928. Suppose k = 5*u - 404. Calculate the remainder when u is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5836185289?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b + 134 + 50 = 0 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -134.933 to the nearest integer.\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 189860024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*y - 60671*y**3 + 41 + 6*y**2 - 2*y + 60829*y**3 + 158 wrt y?\nAnswer: 948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bd when two letters picked without replacement from {z: 2, v: 2, r: 4, d: 3, s: 2, b: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 12:12 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1194 divided by 4\nAnswer: 597\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 665.5875 micrometers?\nAnswer: 0.06655875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u + 0*u - 29 - u + 48 + 41 to z + g*u and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2245324650 to the nearest integer?\nAnswer: 47385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/119 and 127\/6.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of 1\/30*j**5 + 0*j**4 + 0*j - 1\/210*j**7 - 1\/6*j**3 + 2*j**2 + 0*j**6 + 0. Factor b(w).\nAnswer: -(w - 1)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1065437 and -450?\nAnswer: 1065887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 513792 and 72.\nAnswer: 513792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15299363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*b - 5 - 3 = 0, -4*l + 54 = 3*b. Let x(s) = -s**3 + 9*s**2 + 35*s + 11. Let t be x(l). Is t\/(335\/(-1324) + (-3)\/(-12)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 24124?\nAnswer: 24122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -50315 - 5?\nAnswer: -50324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 43.63 and -0.09?\nAnswer: 43.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**7\/70 - 7*y**5\/60 - 4*y**2. Find the third derivative of h(g) wrt g.\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177102.6 months in decades?\nAnswer: 1475.855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 326*f - 3708. Calculate o(12).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(14)\/sqrt(7))**2*6*6 + -5*(2*-4*sqrt(2))**2.\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(19)*4*-5)**2 - (3 + 4*sqrt(19) + sqrt(19))**2).\nAnswer: -30*sqrt(19) + 7111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6710?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*a - 3*a + 10*a + (-4 + 0 + 6)*(-4*a + 3*a + 3*a) to n + c*a and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23\/9800 + -80799\/127400. What is the common denominator of s and -65\/1302?\nAnswer: 16926","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most -0.495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 6) to base 4.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t + 8*t - 2. Solve -2*x = -4*o - 0 - t, 0 = -o + 2*x - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-2))\/((-1)\/(-4)). Let h = -13630 + 13633. Which is the second smallest value? (a) f (b) 4 (c) h (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y**2 - 37*y + 37*y. Let f(a) = a**2. Determine f(g(w)).\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12 (b) 3\/5 (c) 25 (d) 0.3 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m**2 + 8*m + 9. Let g be w(-6). Let q be (-506)\/6 - (-2)\/6. Let z = q - g. Calculate the highest common factor of z and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -3*u + l + 13, 0 = 2*u + 2*l - 6. Suppose 2*m = u*m - 8. Solve 0 = q + m*q - 3*k + 24, -9 = 4*q + k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 706355825.\nAnswer: 5, 7, 576617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -81.12 - -81. Which is the smallest value? (a) x (b) 2\/5 (c) -2\/5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10405, -4, -28 in decreasing order.\nAnswer: -4, -28, -10405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 541433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 12:36 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/(90\/(-24)))\/2. What is the remainder when 6 is divided by -10*(144\/40 - 8\/t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 14*h - 14 = 0. Calculate the remainder when 23 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -2 (c) -40\/9 (d) -2\/215\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1066*g**4 - g**2 - g*o + 2430*o wrt g.\nAnswer: -4264*g**3 - 2*g - o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 16*i - 63. Let x be m(-11). Let w(c) = -2*c**3 - 7*c**2 + 20*c - 12. What are the prime factors of w(x)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 633*x + 628*x - 1860*x + 603*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + f - 0*f + 1, -4*q = -2*f - 8. Let v = -238 - -220. Let r be 24\/v*(-9)\/q. Solve 0 = -h - r*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 703*x**2 - 2196*x - 21. Give f(3).\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 9 - 14*y + 0*y - 1.\nAnswer: -14*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(-6)*6\/20. Let p be 10\/(-35) - 29\/(-28). Which is smaller: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3130 is divided by 257.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -8. Let p be 3 + -2 + -1 + 16. Suppose -x*n + 14 = -p. Calculate the least common multiple of 12 and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 6*l**2 - 5*l - 6. Let h be b(-6). Let q(z) = -2*z - 6. Let d be q(-6). What is the highest common factor of d and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*((-20)\/12)\/(-1)*-3. Factor 3*f**2 + 0*f - 4*f**3 + 2*f**2 + t*f - f**3.\nAnswer: -5*f*(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127.42847 rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1134 (base 6) to base 12.\nAnswer: 1aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -321 + 321 + 19946*s.\nAnswer: 19946*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2\/3 (b) -3 (c) 74\/5 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (24\/36)\/((-2)\/15)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-125)*(-15)\/36*(-5784)\/1205.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46877679.\nAnswer: 3, 71, 73361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5395152931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + -4. Let u(h) = -h**3 - 6*h**2 - 2*h - 6. Let n be u(w). Suppose n*d = d + 85. Calculate the remainder when 50 is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -109.003 and 25057?\nAnswer: 25166.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 0, -5*m = 5*p - 1392 - 2318. Suppose -6*d - d + m = 0. Is 15 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -4*r**5\/3 - 1844*r**4 + 4*r**3\/3 + 1844*r**2 = 0?\nAnswer: -1383, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1472, -2, 1, -19, 59 in ascending order.\nAnswer: -1472, -19, -2, 1, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -91*g**3\/3 - 69*g**2\/2 - 71*g. Let n(a) = 91*a + 35. Let k(i) = 3*b(i) + 5*n(i). Differentiate k(d) with respect to d.\nAnswer: -91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1399 - 2784 = 4*m, 3*t + 2*m + 4105 = 0. Is t at least -1350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5106106427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**2 - 2*m**2 - 3*m**2 + (7*m - 4*m + 2*m)*(2*m + 3*m - 7*m).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 + -10. Suppose -w + 0*w = -s. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.42 - -1.7. Let m = -0.06 - g. Let s = 8.34 + m. Which is the closest to 1? (a) s (b) -5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4*(-1)\/24). Let t be 0\/(4\/i*6). Let y = -137 + 684\/5. Which is the closest to t? (a) -3\/5 (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2699565 is divided by 385652?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419297 is divided by 742?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-3 + 2 + 4)) + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63626 is divided by 3976.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49 - -0.07848.\nAnswer: -48.92152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((5 - 7) + 8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1646 + 1.24352. Round b to two dps.\nAnswer: 1.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -3, -3*t - 36*o - 2 = -35*o. Which is the nearest to 5\/3? (a) 0.4 (b) 2 (c) 20 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -16087e (base 15) in base 12?\nAnswer: -434418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2353 - -5?\nAnswer: 2360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40\/3 + -11. Suppose 2*i + 23 = 5*n, -i + 0*n - 3*n + 16 = 0. Which is smaller: i or o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) 4\/9 (c) 1015 (d) 8\/219\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = k + 4*p, -5*k + 19 - 7 = 4*p. Let m = k - -2. What is the second derivative of 0*b**5 + m*b + 0*b**5 - b**5 wrt b?\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -m**3\/3 + 2*m + 9. Calculate u(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 1900*r - 3800. Let b(i) = i - 4. Let f(v) = -950*b(v) + g(v). Let o(x) = 2*x. Determine o(f(d)).\nAnswer: 1900*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = u, -u = -2*o + 21 - 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 688861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*k - 636*k + 24*k.\nAnswer: -552*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -3, -0.2 in increasing order.\nAnswer: -3, -2\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67606706.\nAnswer: 2, 23, 421, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 6:38 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -73853019.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (11197\/(-3))\/((4\/(-6))\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(2\/21)\/(-1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16 - u**3 + 7 - 13*u**2 - 6 + 7 - 12*u + 2*u.\nAnswer: -(u - 1)*(u + 2)*(u + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6988739669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8.672381cm?\nAnswer: 0.00008672381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -7*n**5\/12 - 115*n**4\/24 - 5*n**3 - 7*n**2. Determine a, given that b(a) = 0.\nAnswer: -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 0 + 5 + 4 - j + 3. What is the units digit of a(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 3)*(-2*a + a - a) - 1 + 2*a - a + a - 4*a - 7*a + 6*a + (-2 + 3 + 1)*(a - 1 + 1).\nAnswer: -3*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 2*d**5\/5 + 158*d**3 + 3*d**2\/2 - 64*d + 3371. Find the second derivative of c(v) wrt v.\nAnswer: 24*v**2 + 948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -5*u + 5*r, 0*r - 87 = -4*u + 5*r. Let s be (((-567)\/(-12))\/(-7))\/(5\/(-2660)). Calculate the remainder when s\/45 - (-2)\/10 is divided by u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-14))\/((-20898)\/32508).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 59*a + 3. Let u be n(2). Suppose 6*m - 481 = -u. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (147 - 299 + 159 - 2*r)*(2*r + 1 - 2*r + r).\nAnswer: -2*r**2 + 5*r + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((35 + -79 - -24) + (7 - -1) - 19)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -49*n**5\/3 + 2177*n**4\/3 - 6976*n**3\/3 + 3512*n**2\/3 + 3920*n\/3 + 656\/3 = 0. Calculate n.\nAnswer: -2\/7, 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6004.0004884 + 6004. What is h rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32\/59 in -5, 1\/6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 1039?\nAnswer: -1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -13\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 * -0.03321.\nAnswer: -0.56457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 13*h - 17. Let s be g(-15). Suppose 3 - s = -5*r. Solve -r*l - 2*i + 8 = 0, -10 = -4*l - 0*l - 2*i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261595?\nAnswer: 5, 113, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -147 and -3\/8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b. Suppose 0 = -20*q + 16*q + 184. Let c = q - 39. Let l(z) = -55*z**2 + 5 - 12 + c. Determine o(l(x)).\nAnswer: 55*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 923 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3 = 5. Suppose 59 = 3*a - x*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 215\/3 + (-12)\/18. Suppose 14*g = w + 181. Suppose l + 4*v = 6*v - 4, g = 3*l + 4*v. What is the least common multiple of 2 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/28 - (4 + 102528\/(-21)). Let q = 29137\/6 - v. What is the common denominator of 137\/60 and q?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from kisskiikkkkkki.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6828*s - 72970 = -4790 + 174702 - 3902 for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 4\/21 (b) -0.5 (c) 3 (d) -0.274 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1563581?\nAnswer: 101, 113, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from {b: 10, f: 4}.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1532363 by 17.\nAnswer: -90139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2688695 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pu when two letters picked without replacement from xpqua.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 19835686?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 4, -350, -5, 2, 50 in descending order.\nAnswer: 50, 4, 3, 2, -3, -5, -350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 50719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, 2\/3, 4, 0.5, 0.2, -235?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 - 13. Let n = a - -184. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 6:17 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-30))\/(x**(-2\/39)*x*x))\/(x**(10\/7)*x*x\/(x\/(x**(4\/21)*x))*x) assuming x is positive.\nAnswer: x**(-9710\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -147, -134, -123, -114, -107, -102, -99?\n\"Answer: -o**2 + 16*o - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1183128, 1183125, 1183122?\n\"Answer: -3*u + 1183131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*y + 69*y - 20*y - 40*y + 41*y + 5*y.\nAnswer: 83*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 42821, 43276, 43731, 44186?\n\"Answer: 455*a + 42366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnk. What is prob of sequence nn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**4 - u**3 - u + 75. Let q(o) = -9634*o**4 + o**3 + o - 10606. Let y(h) = -g(h) - q(h). Differentiate y(r) wrt r.\nAnswer: 38532*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 513593 is divided by 2303?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, 3, -0.54, -2\/21, 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/4)\/((-4)\/16). Let q(y) = 2*y**2 + y - 1. Let v be q(j). Solve -3*x = -0*x + c - 13, -v*x = 3*c - 19 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 19*u**4 - 60*u**3 - 31*u**2 + 192*u - 107. Let o(i) = 3*i**4 - 10*i**3 - 5*i**2 + 32*i - 18. Let x(s) = 2*k(s) - 13*o(s). Factor x(y).\nAnswer: -(y - 10)*(y - 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 2*j = 511173 - 511151, -5*k - 49 = -3*j for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**3 - 5*d**2 + 4*d. Let i(g) = 2*g + 8. Let q be i(-2). Let o(f) = 2*f**3 + 4*f**2 - 3*f. What is q*m(l) + 5*o(l)?\nAnswer: 2*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (8 - (1 - 2 - 1) - (-150 - -175)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1056)\/(-384))\/((-15)\/(-12))\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) 86016 (b) -1\/10 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((-81)\/21)*6\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 70 = 3*u, -u - 2 - 16 = -4*j. List the prime factors of u*(-245)\/10*(-18)\/(-21).\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*s = -7, -5*s - 6 + 1 = 3*l. Suppose -l*u + u + 100 = 0. Let v = 221 - 122. What is the remainder when v is divided by u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 13*i**2 - 13*i - 9. Let f be j(-12). What is the second derivative of 9637*x**3 + 27*x - 9637*x**f - 17*x**5 wrt x?\nAnswer: -340*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117349 is divided by 6288.\nAnswer: 4165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15621 bigger than 13\/63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2607433.\nAnswer: 89, 29297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17.5 + -2.5. Let h = n - 9. Let j = -5.7 + h. Which is the closest to 0.1? (a) 0 (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 27*i - 106. Suppose -3*a + 3 = -0*a, 3*a - 13 = -2*s. Suppose 11 = 2*k - s. What is the remainder when l(-6) is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -9*a - 142. Let u be v(-14). Let w = -6 + -14. Let k = u - w. Solve 0 = 6*f - k*f - 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 4:13 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(84)\/sqrt(6))\/sqrt(2) + ((1*(sqrt(70)*2 - sqrt(70)) + sqrt(70))\/sqrt(10))**2.\nAnswer: 2*sqrt(7) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -40\/9 in 0.5, 11, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o = 3*o + 38 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, k: 5, w: 8}. What is prob of sequence kwr?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -15*(490\/50 + -8). Which is the third biggest value? (a) -2\/19 (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r - 27. Let h be k(8). Let l(y) = -8*y**2 + 3*y + 1. Let g(m) = 39*m**2 - 16*m - 6. Let f(v) = h*l(v) - 2*g(v). Determine f(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 243 and 405.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-5))\/u**(1\/7))\/(u*u**(-2\/7)\/u)**8*(u*u**(-3))\/u**(8\/3)*u**(-3\/5)\/(u\/(u\/(u**(-2)\/u))) assuming u is positive.\nAnswer: u**(-433\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 + 6*n + 24. Is 8 a factor of h(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 525\/11 or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -70, -82, -76, -46, 14, 110?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77 - -81. Suppose d + f = 8, 4*d = 5*c + 1. Solve c*o + 6 = -0*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1842 + 5155 - 1386)*(-d**2 - 2*d**2 + 2*d**2).\nAnswer: -1927*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 802268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 - 1568*l - 120912.\nAnswer: 4*(l - 458)*(l + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + j + 1. Let b(l) = 2*l**3 - 6*l**2 - 3*l - 2. Let y(f) = b(f) - 3*t(f). Let s = 1 + 34. Let w be (-2*1)\/(14\/s). Determine y(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -72? (a) 117\/8 (b) -2\/11 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-25908)\/(-6223))\/34)\/((-4)\/14)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35 - 72*l**4 - 63*l**4 + 120*l**4 with respect to l.\nAnswer: -60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -268\/106617 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (8 - 2 - 6 - 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1 (b) 1 (c) 12\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 - -45. Let k be (x*(-7)\/6 - -4)*-36. Solve -3*t - m = -0*t + 13, 4*m + k = -5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 3*m**5\/4 - m**4\/12 - m**3\/6 + m**2\/2 + 4*m. Let a = 4 + -3. Is o(a) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (66\/48)\/(-11)*1\/(-1)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64101 divided by -6.\nAnswer: -21367\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a meter in centimeters?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*j + 145*j - 4*o + 40 = 0, -3*j + 5*o - 2 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i**2*l - 638*i**2 - 19*l wrt l?\nAnswer: 2*i**2 - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - -0.9. Let l = 0.005 - 0.205. Which is the second smallest value? (a) t (b) -15 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 68594, 137191, 205788?\n\"Answer: 68597*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 685884229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -58229?\nAnswer: -5822.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 8*h + 13. Let k(u) = u - 9. Let z be k(10). Calculate the smallest common multiple of o(-9) and (-12*z)\/(-1)*(-12)\/(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t + 8. Let u be l(-2). Let x = -12 - -20. Factor u*p**2 + 11*p**2 - 8*p - 5*p**3 - x*p**2 - 2*p.\nAnswer: -5*p*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(2283\/381 + -6). Let h = t - 77. What is the remainder when h is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = -399*g + 360*g. What is the second biggest value in g, -5, -481, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one sixteenth of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r + 220 = 0, 5*r - 2*r + 40 = a - 18 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/6421 - 456159\/860414. Find the common denominator of r and -23\/70.\nAnswer: 4690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -6*x + 525. Suppose w + x = 6*w. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 6*d**2 + 4*d - 7. Let u be o(5). Suppose 4*i + 12 - u = 3*h, 3*i = 3*h + 21. Solve -26 = -n + 5*j, -3*n - 2*j = i + 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 + -58.8. Let g = d - 10.2. Let a = -10 - -5. What is the smallest value in g, 5, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -22, -45, -58, -55, -30, 23, 110, 237?\n\"Answer: w**3 - w**2 - 27*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 14183*f - 6704*f - 11617*f + (-4 + 1 + 5)*(-2*f + 4*f + 0*f) + 2*f + f - 2*f in the form p*f + b and give p.\nAnswer: -4133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1426 - -1413. Which is the smallest value? (a) -0.29 (b) -0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7740 divided by 215\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/4)*a**(-1\/7)*(a\/a**(-3\/8))\/a*a*a*(a\/a**3)\/a)\/((a**(-1\/4)\/a**8)\/(a**(2\/3)\/a**(2\/7))) assuming a is positive.\nAnswer: a**(1363\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 142956 and 1510424?\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-4))\/(18*(-19)\/3648).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 73, -1, 1\/8, 0.1, 28.1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2721, -2720, -2719, -2718?\nAnswer: -2717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -fa + -ebf?\nAnswer: -fb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-4)*n\/(n*(n\/(n*n\/(n\/(n**(-4\/9)\/n))*n*n))\/n*n))\/(n**(-2))**(-47)*n*n**8*(n**2*n)\/n*n**7\/(n*n\/(n*n**(4\/7)*n*n)*n*n) assuming n is positive.\nAnswer: n**(-4969\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**3 + 3*p**2 - 3*p + 3. Let r(v) = 4*v**3 + 1. Let y be r(-1). Let n(t) = -6*t**3 - 7*t**2 + 7*t - 7. What is y*n(d) - 7*x(d)?\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3 = -2. Which is smaller: x or -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 1c2?\nAnswer: 1bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 3*a = -2*i - 12, -5 = -5*a. Suppose -3*k + 6 = -3*q, -8 = i*q + 4. What are the prime factors of 1*k - (-40)\/2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 5)*(1 - 1 + i) + ((0 - 1 + 0)*(-9 - 1 + 1) - 7 - 1 - 3)*(-2*i + 6*i - 5*i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -16869 divided by 16869?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 a when two letters picked without replacement from {a: 4, p: 2, x: 1}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fbeimia. Give prob of sequence fme.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 381231858?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5005172520490 - -3\nAnswer: -5005172520487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**3 - 3500352326*y + 3500352326*y.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110000 - -11?\nAnswer: 10110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -161408069 - -161408067.80002489. Let x = y + 1.2. Round x to 6 dps.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -90, -187, -302, -423, -538, -635?\nAnswer: -702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -3 + -4 + (3 - 11 - -28).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4 - 220*a**3 + 1032*a**2 - 1616*a + 800.\nAnswer: 4*(a - 50)*(a - 2)**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 3*x - 81, -4*m - 4*x + 977598 - 977674 = 0 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35792 or 71583\/2?\nAnswer: 71583\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 12*c**2 + 20*c + 88. Determine k(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13242940 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -402a (base 11) in base 5?\nAnswer: -132411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 - 4*g + 5*g + 0*g - g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42363774 to the nearest integer?\nAnswer: 6509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.4, 4, -6693?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12258 - 12184. Calculate the greatest common divisor of c and 148.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112.9 times -117225\nAnswer: 13234702.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 0, -36 in descending order.\nAnswer: 3, 1, 0, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 56? (a) -1 (b) -3\/4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -89, -0.3.\nAnswer: -89, -1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6, 22, 58, 120, 214, 346, 522, 748?\n\"Answer: z**3 + 4*z**2 - 3*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 + 2*w**2 + 4*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6903069?\nAnswer: 3, 2301023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, m: 9, v: 1, n: 2, f: 1}. What is prob of sequence zm?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58269.36 months to centuries.\nAnswer: 48.5578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5489627 or -38427386\/7?\nAnswer: -5489627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -15, 420330?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 456673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(120\/12)\/((-170)\/(-527)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -45\/2. Let g = -287991\/2296 + 878\/7. Let t = -639\/5576 + g. Put t, v, -1\/5 in decreasing order.\nAnswer: t, -1\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.3 + -14. Let l = u - 0.2. Is l > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5678*x**3 - 2812*x**3 - 2868*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 12*u**2 - 13*u - 5. Suppose d - 5*h + 4 = 0, 4*d - 5*h = -0*d + 29. What is g(d)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = k, 0 = 4*b - 35*k + 39*k - 70672. List the prime factors of b.\nAnswer: 17669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-162)\/(-30) - 5)*1. Let y(l) be the second derivative of 0*l**2 + h*l**4 - 3*l + 0 - 4\/15*l**3 + 7\/50*l**5. Factor y(t).\nAnswer: 2*t*(t + 2)*(7*t - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 4:09 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*i + 60*i + 117*i = 4266 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -110 or 48?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b + 37. Let s be c(12). Suppose u + 17 = 3*t, 0 = 4*u - s - 3. Calculate the highest common factor of t and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 12*g = -8. Find the common denominator of 83\/8 and -6*g*25\/(-42).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1551, -6188, -13899, -24672, -38495?\n\"Answer: 2*r**3 - 1549*r**2 - 4*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(33)\/sqrt(3) + 4)**2.\nAnswer: 14*sqrt(11) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 380218, 380205, 380192, 380179, 380166?\n\"Answer: -13*p + 380231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 32, 165, 442, 911, 1620, 2617, 3950?\nAnswer: 5667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (115*j**2 + 5*j + 8 - 117*j**2 - 3)*(-1 + 1 + 14).\nAnswer: -28*j**2 + 70*j + 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 2311?\nAnswer: -2308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 734590341 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11076, 12233, 13390?\n\"Answer: 1157*f + 9919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 162, 255, 350, 447?\nAnswer: 546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9460690 and 150435.\nAnswer: 85146210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 + 3*d - 2. Let t be m(-8). Let g = -360 - t. Let q = g - -305. What is the remainder when q is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 + 4992*k**2 + 2091567*k + 12370338.\nAnswer: 3*(k + 6)*(k + 829)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.58 + -0.22. Let x = n + 2. Let l be (-6)\/(3\/1) + 6. Which is the nearest to 1\/2? (a) -2 (b) x (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q + 3. Let a be n(0). What is the greatest common divisor of 33 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4880199518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + (-6*(sqrt(2736) + 1)**2 - (sqrt(2736) + (sqrt(2736) - (sqrt(2736) + 5*-1*sqrt(2736) + sqrt(2736) - sqrt(2736)) - sqrt(2736) - sqrt(2736)))).\nAnswer: -16423 - 192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 212415.\nAnswer: 637245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-420)\/(-63))\/((-1)\/(-3)). Let o(z) = 2*z**2 + 7*z - 2. Let s be o(-4). Solve -s*p + 7*p = -c for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/421344 and 97\/54720.\nAnswer: 4213440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 - 2*j**3 + 601372126*j - 601372126*j.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 - (-63288)\/12)*(-2)\/(-4). What is n rounded to the nearest one hundred?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 19213 and 12383221.84.\nAnswer: 12402434.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1001333 (base 4) to base 3\nAnswer: 12210102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ivixikvkivxiig. Give prob of picking 1 v, 1 x, and 1 i.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 2:10 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 42\/5 of a milligram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 17*t - 99. Let z be f(6). Suppose 0 = 2*r + z*k - 114 - 38, 5*k = -r + 69. Round r to 0 decimal places.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -901? (a) -1\/3 (b) 2 (c) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 9 = 9 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.12069 micrometers to nanometers.\nAnswer: 47120.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -400 - -719. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 26*n**2 - 11*n - 371. Give i(-26).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 7:33 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1547 - 1681.79. Let f = -133 - t. Round f to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2846*f**3*u**3 + 12*f**3 + 2*f**2*u**2 wrt u.\nAnswer: 17076*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 - 8. Let r = t + -16. What is the remainder when 15 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 3 - 6 = -2*c, -3*c - l = -17 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20712.94 + -20713. Put -0.2, i, -1\/3, -1, 2\/17 in descending order.\nAnswer: 2\/17, i, -0.2, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-77)\/(-33))\/(7\/2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 5*j + 11 + 2)*(959*j**2 + 2*j + 44 + 1 - 956*j**2).\nAnswer: 15*j**3 + 10*j**2 + 225*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -527585*m**2*w**2 + 13*m*w**2 + 18165*w**2 wrt m.\nAnswer: -1055170*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65\/((1\/(-4))\/((-19)\/4)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21354269161*l**2 + 1169048*l - 16.\nAnswer: -(146131*l - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -1)\/((-1)\/(-3)). Suppose 3*k - r*z = k + 87, 3*z = 3*k - 123. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -499 (base 12) to base 2.\nAnswer: -1010110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-6)\/(-4) - 1)*55\/20 and -39\/62?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*f + 665 + 1687. Let c = f + 155. Suppose -4*b - 2*p + 226 = 0, b + 2*p + 2*p = 67. Calculate the remainder when b is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11048613, 22097227, 33145841, 44194455?\nAnswer: 55243069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, p: 1, l: 1, n: 3, v: 2, b: 3}. Give prob of picking 1 v, 1 l, and 2 j.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.1 * 75776.\nAnswer: 234905.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r - 1. Suppose 24*t = -14*t + 38. Let b(o) be the first derivative of o**2\/2 + o + 1. Determine t*g(c) + 2*b(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h + 10. Let k(x) = x**2 - 14*x + 17. Let q be 1\/(-2) - 25\/(-2). Let o be k(q). Is a(o) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 - 41. Suppose z*h - 42 = 16*h. Suppose -5*y + h = -63. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02 + 1.98. Let s = -25211 - -25215. What is the fourth smallest value in s, -2\/19, -2\/13, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -920697 + 920613.0023. Let s = h - -84. What is s rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2593307595 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1149*o = 915*o + 10998 for o.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1785)\/(-70))\/((-3)\/(-14)). Suppose -i - 277 = -11*h. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (2 + -2 - 1). Suppose -2*j = -5*v - 15, 5*j - d*j - 12 = -3*v. Find the second derivative of -m - m**j - m + 0*m**5 wrt m.\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -579.54444 rounded to zero decimal places?\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(357\/120 + -3). Let f be 14\/c - 2\/(-8). Put 1\/4, f, 1 in descending order.\nAnswer: 1, 1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -219164 at least as big as -219181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120344 by -2149.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -23, -49, -95, -167, -271, -413, -599?\nAnswer: -835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15593*w**2 + 25271*w wrt w.\nAnswer: 31186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-4)*(-19)\/(-19).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 31 - 4. Let f = -2 - i. What is the second derivative of 0*o + 2*o - 3*o**f + o**5 wrt o?\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + (-42)\/(-5))\/(404\/(-19190))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3173534*x + 3.\nAnswer: -3173534*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + -3. Calculate the smallest common multiple of d and 20.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3497 + -3481. What is the remainder when 809 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-26)\/(-3) - (-1)\/3. What is the units digit of (4 + -3)*-2 + w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1033 is divided by 343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 51, 2\/3, -0.4, -3\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 1755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, i: 1, v: 5, t: 1}. What is prob of sequence vvtv?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -236, -474, -712, -950, -1188, -1426?\n\"Answer: -238*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 8:02 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 12*l - 1. Let k(z) = -13*z + 1. Let o(v) = 5*k(v) + 6*s(v). Find the first derivative of o(y) wrt y.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.71 (b) -6.2 (c) 331\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -41a (base 15) to base 8\nAnswer: -1635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -48 + (-2 - (-1 - 3)). Let q = 66 + d. What is the highest common divisor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -4*n + 208, -2*k + 33 = 3*n - 75. Suppose t = 4*t - k. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 39 = 6*l. Let t = l + 28. Calculate the remainder when 57 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 - -37. Let p(t) = -2*t + 3. Suppose 3 = -4*s + 5*s. Let z be p(s). Sort -2, d, z in increasing order.\nAnswer: d, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.17 (b) -3\/2 (c) -4\/7 (d) -4 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 200*c + 82*c**5 + 13*c**5 + 31*c**5 - 273*c wrt c.\nAnswer: 2520*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jq when two letters picked without replacement from {j: 5, t: 5, q: 3}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-6*(sqrt(784)*-1 + sqrt(784))\/(-1*sqrt(1008))*-2)**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -7. Let k = j - -10. Solve 0 = h + k - 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 363, 1452, 3251, 5748, 8931?\nAnswer: 12788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1366*c = 1113*c + 5313 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/((v*v**(-1\/8)*v)\/v*v))*v**(-3\/2))\/(v*v**(1\/5)*v*v**(-9)*v*v) assuming v is positive.\nAnswer: v**(247\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 85399113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 1\/2, -3\/14, -2188.8, -5?\nAnswer: -2188.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -13*q**2. Let v(s) = -85*s**2 - 102*s + 204. Let t(r) = -r**2 - r + 2. Let m(k) = 102*t(k) - v(k). Give m(x(i)).\nAnswer: -2873*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*f**3 + 37515*f**2 + 4218228*f + 119663919.\nAnswer: 3*(f + 57)**2*(2*f + 12277)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 1, -13, -33, -59, -91, -129?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2036 minus -0.69?\nAnswer: 2036.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(30\/(-146))*-6. Let t be 1\/(-4) - r\/(-8). Let x = -12 + t. 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: Round 0.0227851007 to 3 decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 + -7 + (5 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 122817 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -34*y**2. Let r(m) = 1056*m. Determine r(u(w)).\nAnswer: -35904*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 + -35. Suppose -5*w = -2*w, x*w + 8 = 4*z. Suppose -4*y - 3*m + 22 = 0, -5*y + m - z*m + 33 = 0. Calculate the smallest common multiple of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**5\/7 + 10*t**4\/7 - 1208*t**3\/7 - 6112*t**2\/7 + 137664*t\/7 + 142560\/7 = 0?\nAnswer: -18, -1, 10, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*q - 50*q = -6676 - 2562. What is the remainder when 887 is divided by q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01888476 to 5 decimal places.\nAnswer: 0.01888","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*o + 4064 + 36224 + 3470. What is the greatest common factor of 594 and o?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 76 - 56. Let d = -12 + l. Put d, -5, -4 in ascending order.\nAnswer: -5, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 46098775 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 311562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*x - 16 = 52, 0 = 2*g + 5*x + 44. Let l = g + -45. Let i = 81 + l. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -3. Does 13 divide (-45)\/(-6)*j + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -452.7 and -8962.\nAnswer: -9414.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v - 17. Let c be q(-9). Solve 6*o - c = o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -441*c + 444*c + 3566, c - 902 = -b. Calculate the greatest common divisor of 256 and b.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7674 + -6730. Let l = -111 + 170. Calculate the highest common divisor of y and l.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 12:52 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q - 4. Let r be o(-3). Is 10 a factor of -1 + -2 + 34 + r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 3*w**2 + 10*w + 34. Determine o(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 5*a + 16 = 0, 218*x - 652*x = -218*x - 218*x + 19*a - 89 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7775067 (base 10) in base 9?\nAnswer: 15560343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*r**4 + 2*r**4 - 3*r**4)*(0 + 6 - 3)*(-14 - 1 + 2) in the form v*r**4 + u*r + b + x*r**3 + i*r**2 and give v.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6993702 divided by -3754.\nAnswer: -1863","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*b - 37, -3*j - 2*j - 5 = -5*b. Differentiate 5*m - 4*m + 5 - b*m wrt m.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84062926769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3016 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 = 17*w - 18*w. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 4*f. Let k be 1\/2*(0 - -10). Suppose -a = -k*a. Suppose -5*g - 5*y - 30 = 0, a*g + 5*y + 20 = -3*g. Calculate d(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.41, 0.1, -1\/3 in decreasing order.\nAnswer: 0.41, 0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -122050035 (base 6) to base 10\nAnswer: -2339303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*l + 4 = 0, -5*t + 10 = -0*t + l. Let p be t*3\/(-6)*-20. Solve -q - 3*u - 17 = -5, -4*u = p for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 5*m - 4, 0 = 2*m - 4*m + 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 111*s**2 - 2763*s - 301. What is x(25)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000267308 to 7 decimal places.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 - 180*u**2 - 3600*u - 24000.\nAnswer: -3*(u + 20)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2352273?\nAnswer: 3, 7, 11, 17, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 21939 = -3*y + 69973, 3*f = -2*y + 32030. What are the prime factors of y?\nAnswer: 2, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*x - 5699 = 5816. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((0 - 2)*-1)\/(-2). Let w(d) = -7*d**2 + 7*d. Let m(n) = -n**2 + n. Suppose 0 = k + 3*x + 6, -4*k + 2 = -x - 26. What is i*w(s) + k*m(s)?\nAnswer: s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -h - 4*z - 20, 5 = 4*h - z for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 164 - -124. Let s = d - 108. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -36, 3, -5526 in decreasing order.\nAnswer: 3, -5, -36, -5526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8595 = 8596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -413\/18 - -211\/9. Let w = 0.3 + 0. Let s = 193 - 198. What is the biggest value in s, j, w, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670538800 rounded to the nearest one million?\nAnswer: 671000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 12 = 5*i. Suppose 2*b - 8 = i. Let q = b - 4. Do 2 and q have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 86, -4 in descending order.\nAnswer: 86, -1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*n - 58 = -83*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 1 - 4 + 5 - 5*g. What is the units digit of q(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2517477 + 1724477. What is n rounded to the nearest ten thousand?\nAnswer: -790000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -119364.1 to the nearest 1000.\nAnswer: -119000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11)\/28 + (-920)\/(-805). Sort -2\/11, 1\/6, d, -6\/17, 0.2 in increasing order.\nAnswer: -6\/17, -2\/11, 1\/6, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**4 - 68*b**3 + 1716*b**2 - 19040*b + 78400 = 0.\nAnswer: 14, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 14*a - 18. Let j(o) = 2*o**2 + 4. Let f be (-1 + -1)*1\/1. Let x be j(f). Calculate the least common multiple of c(x) and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 0. Let s be (3\/g)\/(3\/8). Find r such that -4*r - r**4 + 1 + 2*r**5 + 2*r**2 + 2*r**2 - 4*r**s + 2*r**3 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 16 (c) 0.5 (d) -1 (e) -2\/709 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**2 + 11852*t - 11940786 = 0.\nAnswer: 1287, 4639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 1 + 3\/(6\/22). Suppose -2*l + 6 + 0 = 0. Solve l*x - 5*x - u = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76388 is divided by 3263?\nAnswer: 1339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, 10, -5 in increasing order.\nAnswer: -5, 10, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -133*c**3*q**2 - c**2*q**2 - 11*q**2 wrt c.\nAnswer: -798*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8659 is divided by 2010.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 830, 1\/3, 24, -0.02?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 13*n**2 + 20*n + 9. Let p be k(12). Suppose 3*c = 2*r + 1233, -p = -2*c - 4*r + 445. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 5*y = -2, 6*y - 4*y = -3*j - 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 23*i - 29*i + 35*i + 65.\nAnswer: -18*i + 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(272) - sqrt(17))*4 + 0)**2 - ((sqrt(204)\/(sqrt(216) + sqrt(6)))\/sqrt(2) + -2)**2.\nAnswer: 3364*sqrt(17)\/7 + 139339\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntt when three letters picked without replacement from {t: 2, n: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 1365 + 4101 = 0. Let k = 553 + -2159\/4. What is the common denominator of (i\/(-168))\/(1*4\/(-7)) and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -m + 4*m. Suppose 0 = -y + m*y - 44. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -42951?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -3)*2 + 7. Solve -3*i + p*w - 5 = 4*w, -11 = i - 2*w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 0)\/(10\/4 + -2). Solve k = -k - j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 88080?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -674*n**5 + 2819*n**2 + 681338*n?\nAnswer: -13480*n**3 + 5638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 178, 175, 172, 169, 166, 163?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 17. Give p(26).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**6\/120 + y**5\/5 - 11*y**4\/24 + y**3\/2 - 5*y**2. Let g = 104 + -93. Give x(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1454495725 to the power of 1\/5, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1042.4586 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 3*k**4\/2 - 13*k**3\/2 - 39*k**2\/2 + 179*k. Let y(g) = -g**2 + 2*g + 2. Calculate 6*s(p) + 117*y(p).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*i - 20*i + 8*i)*(-3*i**3 - 4*i**3 + 16*i**3).\nAnswer: -252*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -679 = -5*b - 49. Suppose 1 = -z - 3*a, 4*z - 2*a - 38 = 2*z. Calculate the highest common factor of z and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*l = -7810 - 835. Solve -4 = -l*b + 91*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**4 - 3*u**2 + 3*u**2)*(-3 - 1 + 9*u + 3).\nAnswer: 18*u**5 - 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5263 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, 1\/6, -0.4, -184?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 41945 (base 13) to base 10\nAnswer: 118019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - 1\/((-39)\/(-123)). Which is greater: b or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28\/2889 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308803 is divided by 2458?\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 + (62 - (-6 - -10)) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1560 - -1558. Let o be (-2)\/5 - (-19)\/(-15). Let c be 70\/(-25) - (-1 - 1). What is the closest to 0.1 in c, b, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -762.\nAnswer: 228.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**34*o**(-1\/4)*o**(1\/6)*o**(-35) assuming o is positive.\nAnswer: o**(-817\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**3 + 158*a**2 + 1047*a + 2 wrt a.\nAnswer: -6*a + 316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**3 + 5*u**2 - 10*u + 9. Determine m(8).\nAnswer: -775","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 12:33 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**4 + 1761*q**3 + 89658*q**2 - 7113316*q + 7021896 = 0.\nAnswer: -1706, -98, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/103? (a) 0.392 (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*o + 72. Suppose -o*z + 17538 = -2*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574 >= 1523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**2*t**3 + 2*h**2*t**2 - 329*h*t**3 - 94*t**2 wrt t.\nAnswer: 18*h**2 - 1974*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 - 3*b**4 - 4*b**4 + 3 - 3 - b**4 + (-4 + 4 + b**3)*(-2*b - b + 5*b).\nAnswer: -5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/59081148 and 47\/174024?\nAnswer: 118162296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*i**4 - 282*i**3 + 48095*i - 2 wrt i.\nAnswer: 324*i**2 - 1692*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**4 - 100*m**3 + 11340*m**2 + 6400*m - 705280 = 0. What is m?\nAnswer: -58, -8, 8, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 4, 0, 5, 2, 9.\nAnswer: -40, 0, 2, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l + 1975. Let k(h) = 2*h**2 - 114. What is k(x(f))?\nAnswer: 2*f**2 - 7900*f + 7801136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5915 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-52)\/(-20) + 12\/8*(-18)\/45. Solve 20 = k*n + 3*t, 5*n - 5*t - 16 = -4*t for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12623 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**2 - 8*v - 27. Let c(z) = z**2 - z - 1. Let t(w) = -2*c(w) + s(w). Let g be t(9). Solve 4*l + 4*m + 16 = 0, g*l + 24 = -3*l - m for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 12924, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*i + 5 = 15, -y = 4*i + 8. Let w = -9384 + 9385. Sort -2, w, y, -4 in increasing order.\nAnswer: -4, -2, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-20)\/(c\/(c\/((c*c**(1\/13))\/c))*c))**7)**(-5\/4) assuming c is positive.\nAnswer: c**(4795\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hjhjeteehtpjtthetlt. Give prob of picking 2 j and 2 h.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*y = 2. Let j(o) = -1 + 7 + 4*o - 3*o - 2*o. Let t be j(3). Calculate the highest common divisor of y and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1069822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 11 = u - 12*f, -f = 5*u - 11. Suppose 3*y - 52 - 32 = -u*w, y - 28 = 3*w. Calculate the remainder when 105 is divided by y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -456*g**2 + 180*g**2 + 141*g**2 + 136*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*d = 18*d + 1307 - 127 + 800 for d.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 664, 620, 482, 202, -268, -976, -1970?\n\"Answer: -8*i**3 + i**2 + 9*i + 662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 490 = -380. What is the highest common factor of 33 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -5. Suppose a = -3*x + 4*v + 16, 4*v = 2*x - 13 - 3. Suppose 0 = 5*o - 2*s - 30, x = 6*o - 2*o + 2*s - 24. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -57 (b) 0.2 (c) -5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -482*k - 3598. What is the tens digit of d(-58)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -216, -331, -452?\nAnswer: -579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**4\/12 + 17*m**3\/6 + 14*m**2 - 5*m + 9. Let c(n) = -2*n + 4*n - 3*n + 11. Calculate -8*c(j) + 5*h(j).\nAnswer: -2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65732?\nAnswer: 2, 16433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109003293.\nAnswer: 3, 7, 47, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.3491584*257\nAnswer: 89.7337088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3 = -5. Let n(o) = -1. Let j(v) = 7*v - 2. Let m(t) = z*n(t) + j(t). Give m(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124594 is divided by 140.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(45\/1863) + -7. Suppose -174 = 13*y - f. Solve -x = 7 - y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((2 + sqrt(363)*-2 + sqrt(363) - sqrt(363)) + -3 + -1 + sqrt(363))*-4 + -4)**2*1.\nAnswer: -34944 - 2112*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.46 - -0.36. Let t(l) = l**2 - 8*l + 7. Let s be t(6). Which is the nearest to 0? (a) -3\/5 (b) s (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -104*h + 10817. What is g(111)?\nAnswer: -727","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 983 is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100\/20)\/(1\/(-1)*-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2779.53 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -622071 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -1005*w**3 + 4*w + 3. Let m be l(-1). Suppose -p + m = -75. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/2 + (-1)\/(-2). Let p be -1*2\/4*v. What is the second derivative of 0*c - 2*c + 0*c**p - 3*c**2 wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -88, -782, -2652, -6280, -12248, -21138?\n\"Answer: -97*x**3 - 6*x**2 + 3*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 2 - (986\/255 + (-16)\/(-120)). Let o be 17\/2*(-1 - -3). Solve 4*b - q + 4 - o = w, 0 = -5*q - 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(204) - (sqrt(204) - sqrt(204)*3) - (sqrt(204) - (sqrt(204) - sqrt(204)*1) - sqrt(204)))\/(sqrt(27)\/(-2*sqrt(9))*1*-5))**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.32 + 437.\nAnswer: 432.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -485500 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-3)*h\/h**(3\/35) assuming h is positive.\nAnswer: h**(-38\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2634*h**3 - 5*h**2 - 10*h. Let f(z) = 397735*z**3 + 754*z**2 + 1508*z. Give -5*f(o) - 754*g(o).\nAnswer: -2639*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 23*v**2 + 19*v + 22. Let j be r(22). Let z = j - -701\/16. Let t(w) = w**3 - 8*w**2 - 8*w - 8. Let m be t(9). Which is smaller: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 4*k**2 - 3*k**2)*(2*k - 3*k + 3*k) + 3 + 4*k**3 - 3 + (28*k + 25*k - 33*k)*(-k**2 + 0*k**2 + 0*k**2).\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5221809 to the power of 1\/2, to the nearest integer?\nAnswer: 2285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 66\/(-4)*(-28)\/(-21). Let f be 2*(7\/o + 2\/(-11)). Which is greater: 2\/43 or f?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -f - 3*n - 10, -7 = -5*f - n. Let b(d) be the first derivative of 5*d**f - 24 - 3*d**3 - 10*d + 1\/4*d**4. Calculate b(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 18*v + 3. Let x be z(-2). Let n be 18\/(-4) - x\/(-22). What is the units digit of (16 - 1)\/(-5 - n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 18 = -2*a. What is the second derivative of 0*o - 4*o**4 + a*o - o wrt o?\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1035381855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, f: 4, v: 2, c: 6, e: 1}. Give prob of picking 3 c and 1 f.\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.811km to centimeters.\nAnswer: 581100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 8*x - 3. Let r be z(-8). Suppose 0 - 3 = -l. Suppose 6*u + 4*m - 24 = 2*u, u - 8 = -3*m. Sort r, l, u in descending order.\nAnswer: u, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 11, -1.\nAnswer: -1, 3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -2, 170, -19 in descending order.\nAnswer: 170, 3, -2, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(940\/(-517) + (-4)\/22).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2394, -5, 2, -1, 1 in decreasing order.\nAnswer: 2, 1, -1, -5, -2394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 20.21. Let o = 53.29 - 52. Let s = u + o. What is s rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zoooooozoozooo. Give prob of picking 3 z.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 1:10 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 1 - 9 = 0. Let b = 11 + k. What is the remainder when 17 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 80 = 2*m + 2*z, 0 = -4*m - 5*z + 108. Suppose -9*u = -m*u + 221. Calculate the remainder when 91 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 10) to base 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q + 17*q + 11*q - 77*q + 37*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16.0315 - -16. Round t to three dps.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 36*s**2 - 31*s - 8. Let r be b(-35). Let t = r + 334. What are the prime factors of t?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 308827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 7*g + 1. Let a be o(-1). Let r(d) = -14919 + 29691 - 14771. Let w(s) = 7*s**2 + 6. Determine a*r(v) + w(v).\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 18*h**3 + 21*h**3 + 23 + 8*h - 11*h**2 - 38*h**3. Let i be m(10). What is the smallest value in i, 2\/13, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.48 (b) 24464 (c) 0.2 (d) -0.16 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1470 + 889*v - 1470 as n + g*v and give g.\nAnswer: 889","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4899\/110 - -458\/11. Calculate the common denominator of 39 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41976 = x - 2*v, -5*x + 209776 = -6*v + 9*v. What is the ten thousands digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -z**3\/9 + 25*z**2\/6 - 46*z\/3 + 173. Factor j(k).\nAnswer: -(k - 23)*(k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 2*l + 1. Let x be v(-3). Let y(d) be the third derivative of 1\/6*d**3 + 1\/48*d**x + d**2 + 0 - 1\/240*d**6 - 1\/60*d**5 + 0*d. Factor y(f).\nAnswer: -(f - 1)*(f + 1)*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 740217457?\nAnswer: 7, 105745351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21627 + 31667. List the prime factors of x.\nAnswer: 2, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9116622 divided by -6.\nAnswer: 1519437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 53 - 4?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 4:54 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(2) - 1*sqrt(32))*5.\nAnswer: -15*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-2) + -21 + 24. Sort 5, -3, l.\nAnswer: -3, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wu when two letters picked without replacement from sjuwjks?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3476 is divided by 1669?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 138 + 808. Let j = 193 - h. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y - 1. What is v(6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*g = 2. What is the nearest to 1 in g, 28, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -487 and 539.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g. Let m(w) = -2*w + 1. Let u be m(0). Let s(h) be the first derivative of -u - 1\/3*h**3 + 0*h + 0*h**2. Calculate z(s(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4964*c**2. Let k(l) be the third derivative of l**5\/12 - 17*l**2 + 3*l - 30. Determine k(h(j)).\nAnswer: 123206480*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-18)*-2*(-3)\/20.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6b2b8b - -1?\nAnswer: 6b2b8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 4*v = -5*h + 3, 3*v - 9 = -3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2*w. Suppose -181 - 89 = 6*f. Let t be (-60)\/f*2\/16. Which is the nearest to w? (a) 4 (b) -1\/2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1102080, -4408335, -9918760, -17633355?\nAnswer: -27552120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -284 + 2554\/9. Let z = -0.65 - -0.15. What is the closest to 0.1 in -5, z, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 430*r = -434*r + 15, -15 = 2*w - 3*r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 12. Let d(r) = r**3 - 13*r**2 + 18*r - 9. Calculate the remainder when d(b) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**3 - 16*i**2 + 70*i - 384. Give z(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22642 + -22612. Solve 2*t + 2*z + 32 = f, 0 = t + 4*z + 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -301 = -4*f - 3005. Let y = 1013 + f. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqiilqililliloilll. Give prob of picking 1 i and 1 o.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 29*x**2 - 3*x - 85. Let d be j(-29). Differentiate 87*v**2 + 6*v - 6*v - 103*v**d + 36 wrt v.\nAnswer: -32*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -5*n + 1 + 35, 0 = 3*z - 2*n - 4. Solve -t - 88*w + 85*w = 11, 2*w = -z*t + 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1275406 + -2?\nAnswer: -1275408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4121 + -4120.99997163. What is w rounded to 6 decimal places?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/124*(-3926119)\/46335?\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4811047487\/506 - 9507994. Let z = -54\/253 + b. Find the common denominator of 57\/16 and z.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - r - 1. Let g = 1515 + -1516. Let s(u) = 10*u**3 - 6*u - 4. Calculate g*s(j) + 6*z(j).\nAnswer: -4*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**3 + q**2 + 3*q - 3. Let g be (-1 - 2)\/(-1 + 0). Let l = -4968 + 4960. Let d(t) = 12*t**3 + 3*t**2 + 8*t - 8. What is g*d(w) + l*f(w)?\nAnswer: 4*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111010010 - -110000?\nAnswer: 101000000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1.9 * 232.144\nAnswer: 441.0736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, y: 4, o: 3, r: 4, h: 5}. What is prob of sequence hhrh?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 83335*v - 3 - 222397*v - 2.\nAnswer: -139062*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -10, 7 in descending order.\nAnswer: 7, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21.04 + -3.86. Let m = r + 25.4. Let a = 13\/30 + -3\/5. Sort 0, a, m in ascending order.\nAnswer: a, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((4 + (-4*sqrt(1872))**2)*2 - (-2 + (sqrt(1573) + -2)*3)).\nAnswer: -33*sqrt(13) + 59918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.81 times -0.103805?\nAnswer: 0.08408205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-22)\/(-6) + (-12)\/18. Suppose -z = -5*g + 6*g. Which is the third biggest value? (a) g (b) -3\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2 + 751. Let r(d) = 6844*d. Determine t(r(a)).\nAnswer: -93680672*a**2 + 751","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8851.\nAnswer: 53, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.750544ml in litres?\nAnswer: 0.006750544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 86540 = -6*z. Suppose w - 3*o = z, 11*o + 8654 = 2*w + 6*o. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9241.\nAnswer: 9241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*48\/(-160)*-5*(-4)\/44.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -58*c. Let z(a) = -17*a**2 - 6*a. Determine g(z(f)).\nAnswer: 986*f**2 + 348*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 + 421. What is the highest common divisor of 47 and n?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1759188178055 + 3*l - 1759188178055.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400*b + 405 = -395*b. Is b <= 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -113 (b) 0.07 (c) -0.2 (d) -41 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/33 and -125\/4842.\nAnswer: 53262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380*r + 383*r = 51. Let x be 288 - 1*-1*1. Calculate the greatest common factor of x and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 42\/(-8)*312\/117. Let k be ((-14)\/(-3))\/(m\/(-441)). What is k rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434868764.\nAnswer: 2, 11, 373, 26497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 11*o**2 + o + 16. Let y be s(-11). Find the third derivative of -4*r**6 - y*r**6 + 8*r**6 + 3*r**2 - 6*r**2 wrt r.\nAnswer: -120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 + 2059908*z - 88583440.\nAnswer: 4*(z - 43)*(z + 515020)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + w - 6 = -t, 0 = 3*t - w - 6. Suppose -2*x + 77 = -3*i, 0*x - t*i = -x + 40. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 13*n - 59*n - 52*n + 3168 for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -13*d**2 + 3*d + 3. Let n = 12865 - 12862. Let w(x) = -x - 1. Determine n*w(b) + c(b).\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 463, -2.2, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -497 - -496.7. Sort -9, 0.3, h.\nAnswer: -9, h, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8583950?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -100110000011010101101 (base 2) to base 13\nAnswer: -34870b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4678939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5825402 and 1529.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -87935.622 and 2.\nAnswer: -87933.622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 9. Suppose 3*o = -2*j + 31, 5*j + o - 52 = 19. Let z = -9 + j. Calculate the smallest common multiple of g and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-12\/5)*k*k)**30*k**6\/k*k*k**(-27)*k*k assuming k is positive.\nAnswer: k**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -223, -226, -231, -238, -247, -258, -271?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*((-1116)\/(-8))\/(-9). Let p be (3 + -1)\/2 - (-39 + 9). Calculate the greatest common factor of q and p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - (51 + (-17 - -3)) - -15.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 47 = g - b, 4*g - 52 = 4*b. Is 449\/2 + (-18)\/g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -536*w**4 - 1620*w**2 wrt w.\nAnswer: -12864*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u = -186 - 30 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -2. Suppose 38 = r*f + 438. Round f to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1063 + c**2 + 1062 - 2125.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*w = -8*w - 46, 5*s = -5*w - 60. Let t(v) = -6*v - 8*v - v**2 - 28 - 2*v. Let l be t(s). Solve -y - 1 = 2*k - l, -3*k - 2*y = -17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owooowoooooo. What is prob of sequence wow?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnx when three letters picked without replacement from nnnnnnxnnnnx.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9583 is divided by 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4430 is divided by 554.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 505565099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-462)\/168 - 9\/(-12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -24062, -24060, -24058, -24056, -24054, -24052?\n\"Answer: 2*y - 24064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112213133 (base 4) to base 6.\nAnswer: -1552515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**2 + 85*z + 1353. Give q(-20).\nAnswer: 1253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1313, 5 in increasing order.\nAnswer: -1313, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 174\/24)*(1 + -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*w = -0*w - 6, -3*h = -4*w - 50. Suppose h*c + 300 = 19*c. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100020211 - -1?\nAnswer: 100020212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + sqrt(243) + sqrt(243)) - (sqrt(3) + (sqrt(45)\/sqrt(3))\/sqrt(5))*6)**2.\nAnswer: 24*sqrt(3) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z + 35 = 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -96\/5 + 187\/10. Let y be 1\/(-12)*(0 + -1). Which is the smallest value? (a) 4\/9 (b) y (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1633\/7 + -233. Which is the fourth smallest value? (a) -5 (b) -1 (c) -1\/5 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -422, -11, -3, -1 in descending order.\nAnswer: -1, -3, -11, -422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000015187721 to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -12*s - 36. Let d be u(-3). Suppose -25*v + 26*v - 22829 = d. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -14*y - 128. What is b(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 6:37 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*a - 5*a + 0*a)*(-8*a**3 + 7*a**3 + 16*a**3) in the form v*a**4 + p*a + t*a**3 + f + r*a**2 and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50510 (base 8) to base 10.\nAnswer: -20808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 11, q: 1, f: 3}. Give prob of picking 1 g and 1 q.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**6\/10 + 17*b**5\/60 + 11*b**4\/24 - b**3 - 23*b**2. Let y(c) = -4*c**3 - 6*c**2 - 4*c + 2. What is 6*u(s) + 17*y(s)?\nAnswer: 4*s**3 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31546235.\nAnswer: 5, 7, 109, 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 h, and 1 f when four letters picked without replacement from {d: 4, u: 2, w: 2, h: 10, f: 1}?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9809881 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2 + 17*d + 26. Let q be y(16). Let w = -84 + -131. Which is smaller: w or q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 2\/3*s**4 - 20 + 1\/15*s**5 + 2*s**3 + 0*s - 7*s**2. Let b(t) be the second derivative of a(t). Let b(c) = 0. What is c?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**3 + 79285*a + 4*a**3 - 79233*a.\nAnswer: 6*a**3 + 52*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**2 - t + 1. Let i be (4\/10)\/(1\/(-5)). Let k(s) = -5*s**2 - 5*s - 11. Let r(p) = i*o(p) - k(p). Determine r(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -18. Let j(q) be the first derivative of 0*q**2 - 1\/3*q**3 + 0*q + f. Let y(d) = 4*d. What is y(j(c))?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unjjnwwnwyyjysn. What is prob of sequence nsu?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*h - 1768 - 1498 = 0. What is the remainder when 363 is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/20 and -23\/650665780?\nAnswer: 650665780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*z = -2*z + 274, z + 655 = -5*y. Let q = -8729\/4 - -2163. Calculate the common denominator of 652\/y - 4\/(-6) and q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58667523 to the power of 1\/2, to the nearest integer?\nAnswer: 7659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z + 12*z + 5 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 4) in base 13?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 53, 21, -25, -85, -159?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 12:02 PM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8368?\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, y: 2, k: 1, c: 1, d: 7}. What is prob of picking 1 y and 1 d?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/1024 and -139\/384.\nAnswer: 3072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 25*a + 275 = 0. Suppose a*d = 6*d + 10. Solve 0 = 3*v - 4*u + 10, 4*v - 8*v + d*u = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79 + 6*b**3 + 91 - 2*b**2 - 3*b**3 to f*b**2 + w + i*b**3 + k*b and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3\/(-8) + 41055\/40?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from duddu. What is prob of picking 2 d and 2 u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -5*z**2 - 39469230*z - 77891005839645 = 0.\nAnswer: -3946923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2414*o - 4291. Let m be y(3). Calculate the highest common divisor of 91 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h - 25*h + 23 = 3*x, -2*h = -4*x + 16 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 5 + 0 - 2 + 3 - 52*j to v*j + u and give v.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 21 = 6*b. Let k be (7\/(-2))\/b*14. Solve 3*x - v = -13, -3*x + 4*v - k - 18 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/135)\/(26\/546)*2\/(-140)*16\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -0.172 (c) 1 (d) 62 (e) -2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7872 = -218*a + 226*a. Let o = a - 782. Calculate the remainder when o is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = f + q - 4, -3 = -q. Suppose 5*o = 5, -6*z - o = -3*z + 2. Calculate the smallest common multiple of 24\/3 + (-4)\/z and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s = -35 + 11 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.6 - -0.6. Let v = 4.5 + u. Let w = 24 - 23.8. Put w, v, 1\/7 in descending order.\nAnswer: w, 1\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -a**4\/4 - a**3 + 54*a**2 - 53. Find the second derivative of v(k) wrt k.\nAnswer: -6*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2034 and 2856?\nAnswer: 968184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(250)*6 + sqrt(250) + sqrt(250) + sqrt(250) + -1*(sqrt(250) - (sqrt(250) + 2*sqrt(250))))\/(1*sqrt(245)*2))**2.\nAnswer: 7225\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 461989941?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -9 (b) 3\/4 (c) 2\/7 (d) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 78301 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - (-3904)\/248)*3\/(-132)*11?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1016898 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277 = -8*i + 211. Let d = i + -59. Solve -d*h - 1 = -5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -260532161, -260532159, -260532157?\n\"Answer: 2*w - 260532163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7261 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 569777.8cm to millimeters.\nAnswer: 5697778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -25. Calculate the remainder when 83 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*q + 2*q + 32 = 0, -4*r = 3*q - 117. What is the highest common divisor of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -4*a + 195152, 2430*a - 2*u = 2426*a + 195140. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 7*a**2 + 4*a - 8. Let c be k(-6). Suppose -2 = -2*l - c. Let j = 6 + l. Solve 2*z + 8 = 0, 0*y + 4*z + 26 = -j*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -12*r - 1\/3*r**3 - 11\/2*r**2 + 9. Let n be u(-7). Calculate the greatest common factor of n and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -30a5a + -1a?\nAnswer: -30a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzrzrrvtzr. What is prob of sequence ztz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.12 - -3.38. Let h = -18.5 - x. Let g = h - -22.00024. What is g rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 7*f - 7. Let u be a(-5). Let r(q) = q. Let v(p) = 149*p - 19. Let w(o) = -54*o + 7. Let j(g) = 4*v(g) + 11*w(g). Give u*r(t) - j(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 2 + 2 + 2*s**3 + 4697*s**2 - 119*s - 25 - 4699*s**2 to the form x + f*s + h*s**2 + v*s**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 320 - 686. Let i = l + 11348\/31. Suppose t + 3 - 4 = 0. Is i < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppp. Give prob of sequence pp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 - -44. What is the tens digit of 80 + -2 + g + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -32 + 30. Let o = -147 - -67. Let j be (p + -1)*8\/o. Which is bigger: j or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 7718194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 79502685 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 670 (base 11) to base 15\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-179 - 21 - 95)*(-2*d**5 - 2*d**5 + 3*d**5).\nAnswer: 295*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2372 - -2410. Suppose 4*m - 8 = -2*d, -4*m - 16 = -0*m - 4*d. Suppose m = b - 27 - 11. Calculate the highest common factor of o and b.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (720\/(-51))\/(-40)*-17.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.083276us in days?\nAnswer: 0.00000000022087125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 120*l - 7*l**2 + 6*l - 6 + 7.\nAnswer: -7*l**2 - 114*l + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9203, 4445, -349, -5197, -10117, -15127?\nAnswer: -20245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24912 or 52\/11?\nAnswer: 52\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*x = -73*x - 2211887. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 3445*f + 3447*f = 10, -2*f + 18 = -5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 71865 and 1988265.\nAnswer: 5964795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1109?\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**1)**(-20)*a\/a**(-7\/2)*a\/(a*a**(2\/5)) assuming a is positive.\nAnswer: a**(-359\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*r - 25 = 0. Let o(j) be the second derivative of -j**3\/2 - 7*j**2\/2 - 3*j. Let t be o(r). Solve 0 = 5*z - 0*y + 4*y - t, 2*z - 20 = 4*y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/3585 and -11\/681?\nAnswer: 813795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 91\/21 + 4\/(-3) - 1. What is the derivative of -1261*z**m - 36*z**4 + 1261*z**2 + 85 wrt z?\nAnswer: -144*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 131 + -210?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0*g - 3*g + 65 = 0, 2*p - 4*g = 0. Suppose 0*l - s + 10 = 3*l, 4*l + 3*s - p = 0. Solve -l*x - q - 4 = 0, 3*q = 3*x - 2*q - 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -16 + 0 + 26\/12?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15373389 and 345?\nAnswer: 1767939735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1762 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-7) + (4433\/217 - 18). Let g be ((-8)\/(-28))\/(36\/21). Factor -1\/6*r**5 - 1\/3*r**j - 1\/6*r + 1\/3*r**3 + 1\/6 + g*r**4.\nAnswer: -(r - 1)**3*(r + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 - 24*b + 18*b + 4*b**2 + (-b - 3 + 3)*(3*b + 3*b - 4*b) + 2 + b**2 - 2 - 7*b**2 - 4*b + 4*b)*(-b + 0 + 0).\nAnswer: 7*b**3 + 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2269 = 4*s - 2455. Let b = -809 + s. Suppose i = 7*i - b. What is the greatest common divisor of 31 and i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w + 6. Let i(h) be the first derivative of h + 14. Let s(v) = d(v) - 6*i(v). Let p(a) = -7*a**2. Calculate s(p(m)).\nAnswer: 21*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 4*x - 3. Let b be o(3). Suppose 3*h + 19 - 133 = b. Suppose -h = -j - j. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 7*l + 2 = 37, -7*h + 51 - 102 = 2*l for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f - 4 = 15*f. Let i(t) = 2*t**3 - 3*t**2 - 2*t - 2. Let k be i(f). Does 10 divide k - (3 + -3 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2 (b) 9\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/3 + -1 + 1. Suppose -h*o = -i - 4, -o - 5*i + 18 = -2*o. Sort 1\/2, o, 0 in descending order.\nAnswer: o, 1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*z = -0*y + 2, 2*y - z = 0. Let i(c) = -2*c**2 + c**y + 2*c**2. Let b(a) be the second derivative of a**4\/4 - a. Calculate b(i(s)).\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1040, 490, 2020, 3550, 5080, 6610?\n\"Answer: 1530*k - 2570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3*g**3\/2 - 48489*g**2\/2 + 7628880*g - 15160794 = 0?\nAnswer: 2, 319, 15842","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 0 - (753 - 728).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -4*z + 116. Suppose -3*l - 74 = -5*b, -4*l = 4*b - 101 + z. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 929526*y + 2 + 6007815*y.\nAnswer: 6937341*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -4*x - 3*a, 170*a = -5*x + 165*a - 55. Put 13, x, 5, -0.2, -1.36 in increasing order.\nAnswer: x, -1.36, -0.2, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/17 (b) -5 (c) -2\/7 (d) 3 (e) 0 (f) 2485\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(9\/(-2))*15\/35.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - 40 - -13 - -25?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y**2 + 0*y**2 + 3*y**2 + (7*y**2 - 40*y + 40*y)*(-1 + 0 + 2).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 7*r**2 + 8*r + 3. Let z be g(-8). Let d(h) = h**3 + 8*h**2 - h - 3. Let o be d(-8). Suppose o*x = 27 - 2. Solve -x*n = -z*n - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**6\/120 - 7*h**5\/10 - 14*h**2. Find the third derivative of a(j) wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -15. Suppose 2480 = -4*s + 35*s. Suppose -5*q - 2*r = -85, -5*q - 9*r + 6*r = -s. Solve -u - 3*x = q, -2*u - w*x + 17 = -9*x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + 12. Let i be (-1)\/(-3) - (-3)\/(9\/314). Calculate the greatest common divisor of i and d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, -5, -4, 26, 5, 153 in increasing order.\nAnswer: -7, -5, -4, 3, 5, 26, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -28880*q**2 - 2280*q - 45 = 0. What is q?\nAnswer: -3\/76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**2\/5 + 141416*z + 5656896\/5 = 0.\nAnswer: -8, 176778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 3, -2, -0.1, 7, -19\/4?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + (1 - 1))*2. Let m = 2 + o. Suppose 5*f - 20 = -5*s, -3*s + 3*f = -1 - 17. Calculate the least common multiple of m and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6 = a, 5*n - 311*a + 314*a + 18 = 0. Factor n - 1\/2*k + 3*k**2 - 5\/2*k**3.\nAnswer: -k*(k - 1)*(5*k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + -67727461?\nAnswer: -67727452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 583, -2\/13, -0.26?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r - 4. Let o(u) be the first derivative of u - 1. Suppose 7 = 4*i - f, 6 = 3*i + f - 1. Suppose 20 = -2*c - i*c. What is c*o(d) - g(d)?\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3865781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8286 + 8694 = -51*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 7*v - 60. Let l be r(9). Let w = 6\/139 + -356\/1807. Which is the nearest to l? (a) 0.1 (b) 4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 - 117*v**2 - 120*v.\nAnswer: 3*v*(v - 40)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 9:37 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + u**2 + u + 3. Let m be c(-2). Let g(a) = 8*a - 6. Let y be g(4). Calculate the highest common divisor of m and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h + 16. Let r be s(-10). Suppose -5*v + r + 4 = 0. Suppose 11 - 59 = -2*l. Solve 4*w - l = v*b, -w - w + 20 = -3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6494.4502 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*t - 234108 = -87572. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -493, -985, -1477, -1969?\n\"Answer: -492*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16018110 and 88099605?\nAnswer: 176199210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-4)\/5)\/((-6)\/75) and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.049 from -0.09502.\nAnswer: -0.04602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 12*v + 73 = 2*r, 3*r - 4*v - 115 = 0. Factor 3*x**4 - x - r*x - 28*x**2 + 14*x - 6*x**3 + x**5.\nAnswer: x*(x - 3)*(x + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**4\/12 - q**3\/6 - q**2\/2 - 3*q. What is x(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7083 + 7109. What is the remainder when 750 is divided by a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 301453*o + 543507 wrt o.\nAnswer: 301453","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1130 is divided by 358.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 30 (b) -10\/7 (c) 8\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*c - 3*c + 5*c + 13*c to f*c + k and give f.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174659503 is divided by 1799.\nAnswer: 1789","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 241*k**4*m + k**3*m - 33*k*m - 3*m wrt k.\nAnswer: 2892*k**2*m + 6*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**5\/60 - 2*d**4\/3 - 7*d**3\/3 - 24*d**2. Give y(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + (2 - (2 + -2)))\/(-1). Let t be 150\/35 + (-2)\/7 - x. What is the highest common factor of 45 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/66 and -35\/2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -17, 196.523, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d - 28. Let g be y(0). Let a = g + 115. What are the prime factors of a?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 12 = 0, 0*h - 3*t + 16 = 2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -4, -113 in decreasing order.\nAnswer: 4, -4, -5, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248501 is divided by 5177.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1860204 divided by -3\nAnswer: -620068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -94, -370, -1102, -2518, -4846, -8314?\n\"Answer: -38*j**3 - 10*j - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**5 - 2*z**5 - 2*z**3 + z**5 + 2*z**5 - 2*z**2 + 2*z**2 - 6*z**5 - 47 + 47 + z**5 + 2*z - 2*z + (0 + 1 - 3)*(0*z**5 - z**5 + 3*z**5).\nAnswer: -11*z**5 - 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10 - 2 - 1\/(-1). Let h = b + -2. What is the common denominator of 2 + 8\/(-6) + h and 18\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)*p**(-1\/5)\/p)**(1\/18) assuming p is positive.\nAnswer: p**(-8\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -16.\nAnswer: -13\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 2*p - 3254, -2*s - 2*s - 2602 = -p. Let o = -459 - s. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooivvivvvvoibvoybov. What is prob of picking 2 i, 1 v, and 1 y?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-4)*(-4)\/2. Suppose x - 3 = 2*l - 6*l, h*l - 3 = -x. Let p(m) = -m - 14. Let q(b) = 2. Let a(z) = 2*p(z) + 14*q(z). Calculate a(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 24384 (b) 2 (c) -1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 18956 times -4471\nAnswer: -84752276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*k - k**2 + 12*k**4 + 213 - 433 + 220 - 3*k**4 as t*k**3 + n*k + x*k**2 + m*k**4 + z and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2669083258 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 52\/19 in -4\/5, 0.6, -0.1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-8988)*6)\/(54\/378).\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*c - 2*h, 2*c + 0*c - 3*h = 9. Suppose -5 = g, 2*m - c*g - 23 = m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + -0.5. Let n = m + 0. Suppose 3*f = -3*j - 12, j + 30 = 6*j - 5*f. Which is the smallest value? (a) 2\/9 (b) j (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 12*a - 16. Let c be d(-11). Let l(b) = b**3 + 4*b**2 - 5*b + 3. Let g be l(c). Put 2, g, -4 in ascending order.\nAnswer: -4, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 x when four letters picked without replacement from ueuejjejujujxjue.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*d + 2*d - 24, -o - 41 = -5*d. Solve -7*u - 5 = d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -3*r - 32. What is the tens digit of (31 + -1)\/(r\/(-28))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*q**2 + 0*q**2 - q**2)*(0*q**2 + q**2 - 2*q**2) - 2*q**4 + 6*q**4 + 0*q**4)*(2 - 4 + 3)*(0 + 0 - 2*q).\nAnswer: -6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + v - 3*v + (-7 - 5 + 2)*(0 + 0 - v) + 62*v - 4*v - 5*v.\nAnswer: 61*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 35 = -122*d + 120*d, -d - 55 = -4*w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24194 + -3871. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -1\/2*k**3 + 1\/3*k**4 - 2\/15*k**6 + 0*k**2 + 3\/20*k**5 + 0 - 88*k. Find s such that g(s) = 0.\nAnswer: -1, 0, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130 and 507598?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h + 2. Let u(g) = -48*g - 33. Suppose 0 = d + 14 + 19. Give d*o(z) - 2*u(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -152*z + 28. Let t be p(7). Let k = -11348\/11 - t. Find the common denominator of 1089\/90 - (-3)\/(-30)*-2 and k.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -135.44238 + 0.33238. What is m rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 10 = 2. Let a = -3 - o. Calculate the lowest common multiple of (-25)\/(-4) + a\/(-4) and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/2701 (b) 1\/4 (c) -5 (d) 0.1 (e) -1 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3752150 rounded to the nearest ten thousand?\nAnswer: -3750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 + 0 + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -119.41 + 119.31. Let d be (1*(0 + -1))\/(-2). Which is the second biggest value? (a) z (b) d (c) -5\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 56*l. Let m(h) be the second derivative of -1\/6*h**4 + 0*h**2 + h - 17 + 0*h**3. Give m(g(b)).\nAnswer: -2*b**4 + 224*b**3 - 6272*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 7 + 70 + -54.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 5. Let i be l(5). Suppose 0 = -3*s + 7*s - 60. Suppose -3*g - 3*o = -s, -12*o + 10 = 2*g - 15*o. Solve 0 = -p + c - 10, 4*p + 3*c + g = -i for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((3 - 0) + (-1)\/1)*2. Suppose j*a - u + 214 = 6*a, -535 = -5*a + u. Let f = -43 + a. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 2:59 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.343 * -925\nAnswer: -317.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i = -15*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2487*q - 2*r - 29 = 2492*q, -8*r - 36 = 4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 4*d + 2*d - 92, -2*d - 20 = -a. Let g = 32 - a. What is the greatest common factor of g and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/16 - (164\/(-16) + 3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, t: 1, s: 2, x: 2, r: 4}. Give prob of sequence tggg.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 9:39 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m - 4. Let c be n(3). Let x be 80\/50 + 2\/c. Is ((-24)\/3)\/(x\/(-12)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*q - 21*q + 8*q**3.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2. Let y(w) = -1. Let t(v) = 16 + v - 16. Let x(u) = 2*u + 1. Let b(r) = 6*t(r) - 6*x(r). Let f(q) = b(q) - 6*y(q). Calculate o(f(c)).\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(200)*-1*4*-6 - (4 + 5*(2*sqrt(200) + sqrt(200)) + sqrt(200) + 4))**2.\nAnswer: -12800*sqrt(2) + 1280064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 6 + 0*s**3 - s**3 in the form p*s**3 + j + b*s + r*s**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w**2\/w*w)\/w)\/w)\/w*w)**41\/(w*w*w*w*w*w**(1\/4)*w)**(-20))\/(w**(-1\/2)\/(w**(2\/3)*w)*((w\/(w\/w**1))\/w)\/(w\/(w**(-2\/17)*w*w))) assuming w is positive.\nAnswer: w**(12881\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2211287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*-1 + (-6 - -4). Let z(i) = -i - 2. Let o be z(v). Suppose -q - 4*d = -o, 2*q - 6*q - 4*d = -40. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3759664?\nAnswer: 2, 234979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.061 - -0.029. Which is the closest to 0? (a) g (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and 27.1679.\nAnswer: 353.1827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a - 5055 + 4079 = 0. Do -65 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-8)*3\/(-6)*-4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 1. Let d be g(1). Let n be d + (-1)\/((-2)\/84). Suppose 4*b = -0*b + n. Calculate the smallest common multiple of b and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-45) - -5) + -5.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -422584121, -422584122, -422584123, -422584124, -422584125?\n\"Answer: -j - 422584120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -7*q - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 31134.280674.\nAnswer: 31138.280674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, r: 4, b: 6, d: 2}. Give prob of sequence bb.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((11\/(-1650)*-30*-2)\/((-218)\/(-5))).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y - 2. Let m(t) = -15*t + 33. Let s(v) = 2*m(v) + 33*q(v). Let k(d) = -2*d**2. What is k(s(z))?\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 26, 22, 10, -16, -62, -134?\n\"Answer: -g**3 + 2*g**2 - 3*g + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60*b**2 - 3721435*b + 310120.\nAnswer: -5*(b + 62024)*(12*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/1980 and 37\/6.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(468)*1*5 + sqrt(468) - (sqrt(468) + 0 + 5)) + 2)*-2)**2*-5.\nAnswer: -936720 + 14400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5781, 11548, 17315?\nAnswer: 23082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**4\/36 - 205*d**3\/27 - 6636. Solve l(y) = 0 for y.\nAnswer: 0, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/71, 31261, 2 in decreasing order.\nAnswer: 31261, 2, -1\/71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 + -8 - (1836 + -1710)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**9\/(m*m**(2\/29)\/m)*m\/(m**(1\/24)*m)*m*m**2*m)**(-3\/7) assuming m is positive.\nAnswer: m**(-8971\/1624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1659*v + 9978*v = 1535827 - 512590 for v.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 0 - -5) + -4. What is the first derivative of -6 - 64*g**2 - 6 + 68*g**s wrt g?\nAnswer: 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m + 5. Let d be s(-5). What is the units digit of (-10)\/d + 164\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*p = 34*p + 2. Suppose -y - 3*j - 143 = 0, p*y = 2*j + 3*j - 275. Let g = y + 212. Calculate the highest common divisor of g and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*n = 26*n + 5*r + 13, 4*n - 2*r = 106. Solve -13 = -n*q + 24*q - 3*d, 0 = 2*q + d - 7 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-291)\/27*(3 + 14). Let n = -183 - y. Which is the closest to n? (a) -1 (b) 2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1455954)\/485318)\/(31\/12 - 2\/6)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -62\/5*f**4 - 106\/5*f**3 + 0 + 348\/5*f + 302\/5*f**2 - 2\/5*f**5 = 0.\nAnswer: -29, -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b - b - 3*b + (0 + 5 - 3)*(-19 + 6*b + 19) - 3*b - 2*b + 4*b to the form o*b + q and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -1 + 4 + 117 - (26 - 41 - -28).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -134*n**6\/15 - n**3\/3 + 125*n**2\/2 + 100*n. What is the second derivative of a(j) wrt j?\nAnswer: -3216*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.245522403 rounded to 4 decimal places?\nAnswer: -0.2455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296432 is divided by 22797?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*j + 164*j = 105. Let m be -5 + 8 + -1*j\/9. Factor -1\/3*g**5 + 1\/3 - 2\/3*g**2 - 1\/3*g + m*g**3 + 1\/3*g**4.\nAnswer: -(g - 1)**3*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - -21) + -2 + 21 + -28.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53102?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 6:40 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 5*m**2 + 4. Let i be z(-5). Suppose -g = -i*b - b + 6, -b = 5*g + 4. Let w be (-6 + (-6)\/(-2) - -3) + 327\/(-4796). Which is smaller: b or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 295 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/152847 and 16\/16761.\nAnswer: 23079897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + 31. Suppose 0 = 3*f + 3*k - l - 0, -k - 80 = -5*f. Calculate the lowest common multiple of f and 50.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1309.73 - -1317. Let l = -6.9 + a. Let h = l + -0.27. What is h rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g**2 - 1760*g + 966. Calculate i(-252).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 890457548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -388 - -388.3. Put 4, 1\/3, -1\/6, q in decreasing order.\nAnswer: 4, 1\/3, q, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 12\/7 of a week?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11711608?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2568, -2561, -2552, -2541, -2528?\n\"Answer: m**2 + 4*m - 2573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-35))\/((-346)\/(-15570))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0044901 rounded to 4 dps?\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 310223 - 3?\nAnswer: 310220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.11 (b) -4 (c) 0.02 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 586, 611, 642, 679, 722?\n\"Answer: 3*o**2 + 16*o + 567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 66*z**5\/5 - z**2 + 1325*z - 1271. What is the first derivative of m(c) wrt c?\nAnswer: 264*c**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 121206.13530351?\nAnswer: -121207.13530351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 120 = -32. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 116.86 + -116.8. Let a = 419\/6 - 139\/2. What is the second smallest value in a, n, -1\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 573012\/161 greater than 3559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*d = -6, 0*m = -5*m - 5*d + 60. Let i = -1 - -1. Suppose i = 5*r - 22 + m. What is the greatest common factor of 3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -18\/11, 59, 0.4, -0.5, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33599102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 382, 767, 1154, 1543, 1934, 2327?\nAnswer: 2722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/9*-3*12\/3. Let s = v + 11. Factor 112*q + s + 13 + 196*q**2 - 12.\nAnswer: 4*(7*q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3213766973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.028? (a) -51\/7 (b) 3 (c) 0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -16. Let h be -2 - -1 - 9\/o. Sort h, -1\/9, 3\/2 in decreasing order.\nAnswer: 3\/2, h, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 + 1 + 2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, -11, 18, 2, -3.\nAnswer: -84, -11, -3, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 62.89904ml?\nAnswer: 0.06289904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 411*g + 588*g = -452 - 1946 - 2597 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 6:47 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-334910)\/(-51360) - 20\/6 - 3.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(152) + (sqrt(152) + -2*sqrt(152))*2)\/((((3*sqrt(192) - sqrt(192)) + sqrt(192) - sqrt(192))\/sqrt(4) - sqrt(48))\/sqrt(6)).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*t + 5360 + 128 = -124*t for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 158, 1, 3, 0.5, -4.\nAnswer: -4, 0.5, 1, 3, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -9*l - 3. Let q be n(-1). Is (18 + -4)\/(q\/1041) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = p. Let i(b) = -3*b**3 - b**2. Let u be i(2). Let x be (2\/u)\/((-1)\/8). Which is bigger: p or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from {a: 3, n: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -48. Let k = j + -18. Solve 0 = 2*h - 5*p - 22, 0 = k*h - 2*p + 6*p + 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvtvtv. Give prob of picking 3 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*x**2 - 30*x**2 + 0*x**3 + 10*x**2 - x**3 + 12*x**2 + 364*x to the form w*x**2 + z*x + q + v*x**3 and give z.\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4510 - 4393 + 4*o**3 + 8903 - 4*o**3 + 6*o**3.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -650908520 divided by -1.\nAnswer: 650908520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5412*r - 12423.\nAnswer: 5412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*y**2 - 72*y**6 + 82*y**6 + 3*y**2 wrt y?\nAnswer: 1200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17104283561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-2) + -14)*21\/(-6). Let w = 50 - t. Suppose -o + 3*x = -2*o + 45, -2*x = 5*o - 238. Calculate the highest common factor of w and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -356 - -219. Is 3\/18*-14*v*3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 0*c**3 - 1\/2352*c**8 - 1\/210*c**5 + 1\/735*c**7 + 0*c - 9*c**2 + 0*c**6 + 1\/168*c**4 + 0. What is l in p(l) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153361, 153410, 153447, 153466, 153461, 153426?\nAnswer: 153355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -75*n**5 - 491388*n**4 - 411951*n**3 + 4991142*n**2 - 4716624*n + 628896 = 0.\nAnswer: -6551, -4, 4\/25, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - u + 7 = y, -3*y = -5*u + 22. Let t = 1 + 3. Suppose -y = -t*j + 7. Solve 6 = 2*i + j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -s + 5. Let d(k) = -2*k**3 - k - 2. Does 7 divide d(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -w + 7, 2*i - 3*w + 11 = -8*w. Suppose -740838 = -i*v - 240838. What is v rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*y + 115*y = 3*l - 2, -20 = -5*y - 5*l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -150\/1369, -0.29, 22, 2 in decreasing order.\nAnswer: 22, 2, -150\/1369, -0.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179859 is divided by 44954?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -401 = -2*q - 333. Suppose q - 34 = -a. Solve a = -v - 3*v + 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iicui. What is prob of sequence cu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + ((-3 + (-4*sqrt(52)\/sqrt(4) - -1*sqrt(637)))*2)**2) + -3.\nAnswer: -360*sqrt(13) + 2537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**4\/6 - 136*m**3\/9 + 836*m**2\/3 + 23104*m\/3 - 2697. Find l, given that g(l) = 0.\nAnswer: -8, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qv when two letters picked without replacement from qqqqyqqve?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 12:44 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(-8*w**2 + 2*w**2 - 5*w**2) + (-2 + 2 - 2*w)*(4*w + 2*w - 4*w).\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 15. Suppose 5*c - 335 = 3*w, -2*w - 266 = -r*c + 2*c. Is c a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -1211295?\nAnswer: 1211295.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46771 is divided by 357?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36*(91\/(-28))\/(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -7*q - 3. Determine n(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 141 and 3.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/195 > -177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -1. Let h be -5*-1*9\/15. Suppose h*r + 5*o + 43 = 0, -2*o + 5*o - 3 = 3*r. Let d(n) = -2*n**2 - 8*n - 2. Let m(v) = r*t(v) - d(v). Factor m(z).\nAnswer: 2*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 28*v**2 + 58*v + 34. Determine k(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*y**2 - 4*y**2 - 25*y**2.\nAnswer: -46*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 78.\nAnswer: -2, 1, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2850*v**5\/7 - 59854*v**4\/7 - 59862*v**3 - 139734*v**2 - 196*v.\nAnswer: -2*v*(v + 7)**3*(1425*v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -18*b**2 - 1\/120*b**6 - 7\/60*b**5 + 0 + 0*b**4 + 3\/2*b**3 + 0*b. Calculate d(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 85780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**4\/24 + 5*a**3\/3 + a**2. Let y be s(-6). Solve 3*o = 3*b - 0*b + 12, -y*o - b = -1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + -8*1\/(-2). Find the second derivative of t*c**2 - 6*c - c**2 - c**3 + 33*c wrt c.\nAnswer: -6*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u - 882 = -36*u. What is the greatest common divisor of u and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 672371105?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - -2.9. Let y be (14 + -5 + -5 - -4) + 42\/(-5). Which is the nearest to 0? (a) d (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + c + 4)*(2*c + c - c) + 8*c**2 - 18*c**2 + 9*c**2)*(c + 3*c**3 - c) - 59*c**5 - 9*c**4 - 8*c**4 + 19*c**4.\nAnswer: -56*c**5 + 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 4 - 8 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b. Let r(t) be the first derivative of -t**4\/12 - 2*t + 2. Let c(x) be the first derivative of r(x). Determine c(h(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -201730*z**3 + 1540661*z**2 wrt z?\nAnswer: -1210380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38 in 9, -2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k - 4*h = 92 + 1, h + 2 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132 + -137 - (-5 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zwbwzzwzwz. What is prob of picking 2 w and 1 b?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63 + 59. Let c be (p - -6 - 0) + -130. Let i be 6*2\/(-3) + c. Round i to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2687147269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 490?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 121\/(-4 + -7) + 3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33 * 16634.\nAnswer: 548922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -538870 divided by -3.\nAnswer: 538870\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-616)\/(-308))\/((-4)\/(-13)).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 664 and 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(343) + 0 + 4 - (sqrt(343) - 3*(sqrt(343) + 0) - sqrt(343))**2).\nAnswer: -12332 + 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 454009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -24*j**2 + 5*j**2 + 28 - 28. Let f(w) = -5*w**2. Give f(d(x)).\nAnswer: -1805*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -11*y + 69. Let x be o(6). Solve -x*l - q - 1 - 7 = 0, -2*q = 2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 14, -5, -14, 103592 in ascending order.\nAnswer: -14, -5, -3, 14, 103592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**4 - 4*a**4 + 4*a**4)*(-2 + 2 + 2) - a**4 + 5*a**3 - 5*a**3 - a**3 + a**3 - 2*a**4 - 1 + 1 - 2*a**4 - 415*a**4 + 164*a**4 - 253*a**4.\nAnswer: -513*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 7*u**2 + 8*u - 10. Let w be q(-7). Let i = w - -97. Calculate the remainder when i is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + -3 + 8*12\/(-24) - (-8 - -6).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wcwc when four letters picked without replacement from ccwwwcc?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -107 - -106. Sort -88, -2, d in decreasing order.\nAnswer: d, -2, -88","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 3\/16 (c) -0.173822\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -36*q**2. Let s(i) be the second derivative of -i**4\/6 - 10*i. Calculate z(s(x)).\nAnswer: -144*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3 = -k + 4, o - 1 = -k. Suppose 3 = -3*m - 3. Sort -5\/3, o, m in increasing order.\nAnswer: m, -5\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -195028420 by 166.\nAnswer: -1174870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 - -105. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-2)*-1*1*(-78)\/130.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3678407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 12 + (-41 - -12).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000015414 rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*x = -44*x + 105*x + 315 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 38 = 2*p, p + 4*p = -5*u + 175. Suppose -j + 5*s + u = 2*s, -5*s = -j + 24. Suppose 3*k = k + 30. What is the remainder when j is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 9*u. Let i be z(-9). Suppose b - 1 = -2*o, 5*b - 3*o - 18 = -i*b. Is 4\/(36\/921)*b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65213295.646399 - 30686745.346598. Let g = u - 34526701.3. Let d = g + 151. Round d to five decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 5 = 5*l. Let j be (3\/9)\/(5\/l)*1. Is j less than or equal to 2\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41020543 (base 6) to base 12.\nAnswer: -484753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1063 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 22*j - 16. Let o be r(5). Suppose -4*k - 2*q - 3*q = -o, 3*k - 2*q = 59. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 7*x = 0, 0 = -4*k + 3*x - 48. Let h = -7 - -31. Let y = h + k. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/10 and -27\/494?\nAnswer: 2470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 216.78681 take away 0.3?\nAnswer: 216.48681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1554148446 divided by 3\nAnswer: -518049482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -v + 2. Suppose 0 = d - v*d + 8. Suppose 1105*r - 1192*r + 696 = 0. Which is bigger: r or d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25.2 - -25. What is the second smallest value in -1, -88\/3, 0.2, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1039 - -1043. Let d = -2 - -2.03. Which is the closest to -0.1? (a) -0.1 (b) i (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1331 - 6656\/5. Which is the second smallest value? (a) -0.4 (b) -0.1 (c) f (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95559 is divided by 1592.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 4 = -11*n. What is the units digit of 14*(n - (-2)\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s - 5*s - 1 - 2*s.\nAnswer: -4*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/123 (b) -1 (c) -0.08 (d) 23 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 26542 = -26590. Solve -s + 5*v = 12, -3*s - 3*v + f = -6*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 9*t**2 + 2*t - 1. Suppose -4*n - 2*f + 1378 = -f, -3*f + 6 = 0. Let h = 339 - n. Let o(u) = u - 8*u**2 + 3*u**2 - 2*u. What is h*o(q) - 3*l(q)?\nAnswer: -2*q**2 - q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 393*c + 6424. Give k(17).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 - -63. Suppose v*o - 9 = -o. Solve 0 = -2*l + o - 13 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 3*w. Let l be h(-4). Suppose 4 + l = 2*o. Let d(j) = j**2 - 9*j + 12. Let k be d(8). Solve k*a = -3*y - 35, -2*a + 30 = -4*a - o*y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4776 a factor of 612942288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 11:43 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 75938843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/6)\/((-1)\/(-1))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 10*l - 16. Suppose 0 = 5*d + 10, 0 = -l*j - j - d + 1507. Let i be 4 - (-3 - j\/(-72)). Is i <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48345931 or 48345935?\nAnswer: 48345935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1216 = 53*g - 45*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: What is the value of (0*28\/140)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 6*sqrt(2057)*-2 + -5 + 4*(5 + sqrt(2057)*1 - (-5 + (sqrt(2057)*-2 - sqrt(2057)) + sqrt(2057))))*-5)**2.\nAnswer: 22500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 1 = 5*r - 29, 3*c + 11788*r = 11793*r - 32 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 - 5*s**2 - 6*s**2 + 13*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 + 4)*49\/(-2). Let m = -34 + f. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*s**2 + 5*s**2 + 10*s**3 - 2 + 3 - 15*s**3 as l + k*s**3 + c*s + y*s**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 0.3, 0.5, 20.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.052655637 to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 3*v**3 - 710037*v**2 - 1420095*v + 2130129 = 0.\nAnswer: -3, 1, 236681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -7.857 (b) 0.19 (c) -7 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*w - 2213 = -104 + 1011. What is the highest common factor of 17 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in -5, 0.4, -84, -73?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 2*d + 691 - 731 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 8*q**3 + 3*q**2 - 6*q + 7. Let r = -64 - -58. Let t(d) = -7*d**3 - 3*d**2 + 5*d - 6. Calculate r*t(p) - 5*c(p).\nAnswer: 2*p**3 + 3*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183 + 175 - 3*v**2 - 358.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44 - -41)*(-5)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31705 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q - 43. Let s(d) = -473*d + 129. Let l(c) = 2*s(c) + 6*x(c). Let i(m) = 2*m. Give i(l(j)).\nAnswer: -1904*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 2) + -2 + -1 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**3\/12 - 753*s**2\/4 - 1507*s\/4 + 13549. Suppose k(m) = 0. What is m?\nAnswer: -1, 1507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2122 - -2127. Sort 0.1, 0.5, 14\/3, k, 3\/8.\nAnswer: 0.1, 3\/8, 0.5, 14\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2672, -5162, -7720, -10346, -13040?\nAnswer: -15802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5555\/4 - 1407. What is the common denominator of 89\/14 and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srsqri. Give prob of sequence is.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 7. Let k = a + 18. Suppose 2*i - 2 = -j, i + k*j + 0*j = -17. Sort -2, 4, i in increasing order.\nAnswer: -2, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/6 (b) -1 (c) 1\/29 (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/((-192)\/6))\/1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 675, 1294, 1859, 2370?\nAnswer: 2827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13527485 (base 9) in base 14?\nAnswer: -c62683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4870?\nAnswer: 2, 5, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -9860*g - 170. Let f(q) = -173*q - 3. Give 3*d(m) - 170*f(m).\nAnswer: -170*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -256400*o + 200. Let k be l(-7). What is k rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*v + v + 8, -3*q + 6 = -3*v. Suppose -3*i + 5*d = -596, v*i = -i + 5*d + 212. Suppose -i = -s - 49. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 59*t**2 - 97*t - 58. Is p(-65) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -27, -6, 0 in descending order.\nAnswer: 0, -6, -23, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.29 + 5.21. Let z = 2.5 - h. Let s = -2.999943 - z. Round s to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g - 7. Let l be d(6). What is the remainder when (-1)\/((-1)\/2) + -1 is divided by ((-1)\/l)\/((-5)\/25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i - 22. Let a be t(14). Suppose 2*m + d = a*m - 3766, 3*d = -6. List the prime factors of m.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189399 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 1798*s - 14384. What is q(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.45 + 224.55. Let n = 232.98 - s. Suppose 2*h = -h + 12. Which is the second smallest value? (a) -0.3 (b) h (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-4))\/((-1)\/(-2)). Factor -2*c**4 - 8*c**l - 4*c**5 + 3*c**5 + 7*c**3.\nAnswer: -c**3*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 366635854?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112987903.\nAnswer: 7, 89, 181361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 750190485?\nAnswer: 3, 5, 11, 4546609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + c)*(0 + 1 + 3) + 1 - 54*c - 5 + 3.\nAnswer: -50*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 86081 and -24.7.\nAnswer: -2126200.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13\/2 - -6. Let w(y) = -y**3 - 9*y**2 - 4*y - 30. Let l be w(-9). Let t be (-1)\/(-2) - (-1)\/l. What is the smallest value in m, t, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-14))\/((-7)\/(-49)). Let l be b\/12 - (-46)\/12. Suppose -2*h + 28 = -l*f - 0*f, 2*h + 3*f - 7 = 0. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -171.75677 times -0.2\nAnswer: 34.351354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 8 + 2 = 0. Calculate the least common multiple of ((-2)\/5)\/((-2)\/h) and (4\/12)\/((-2)\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 10, a: 2, x: 1}. Give prob of sequence ii.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 88 - 390. Let y = 328 + g. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (207\/322)\/((-1)\/(-14))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(132) - sqrt(132) - sqrt(132))\/sqrt(4))\/(sqrt(11) - 1*sqrt(11)*3)*4.\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -40 and -3462.\nAnswer: 138480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 130 + -2728\/21. Let f(h) be the first derivative of -1\/7*h**2 + 2 + w*h**3 - 2\/7*h + 1\/14*h**4. Factor f(o).\nAnswer: 2*(o - 1)*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 0*n**4 + 8*n + 9 + 0*n**3 + 0*n**2 - 1\/5*n**5. Differentiate a(v) wrt v.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -510, -3758, -12474, -29394, -57254, -98790, -156738, -233834?\n\"Answer: -456*c**3 + 2*c**2 - 62*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 8) + (4 - (8 + (9 - 13)))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 376*h + 35195. What is p(201)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -464*y + 1328*y - 424*y - 425*y.\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, a: 1, n: 1, k: 1, f: 1}. Give prob of sequence akn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -237bc?\nAnswer: -237b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-56)\/16*4\/7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rpccccccccpr. Give prob of sequence ccc.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*h - 9 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 3*u**2 - 3. Let l(h) be the third derivative of 0*h**4 + 1\/30*h**6 - 13\/60*h**5 + 0*h + 0 + h**2 - 13\/6*h**3. Calculate -26*c(a) + 6*l(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 4. What is the units digit of q\/(2\/(-6)*-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46408*o**2 - 92834*o**2 + 46425*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1046*a = 1093*a + 188 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67.1 + -64.1. What is the closest to 1\/3 in 8\/5, 1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 481398317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16060097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbddbdd. Give prob of sequence dd.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 0 + 33\/4*k**3 + k**5 + 19\/4*k**2 + 3\/4*k + 21\/4*k**4 = 0.\nAnswer: -3, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -13 - 1\/4*h**2 + 1\/12*h**3 + 1\/4*h. What is p in z(p) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 121 and 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4.7, -41\/46, -0.21 in increasing order.\nAnswer: -4.7, -41\/46, -0.21, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 9*q. Let j be -14 - -4 - (-1 - 2). Is c(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 12:33 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 199*p - 198*p - 3, -4*p = 13*d + 27 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5 = -2. Suppose w + w + 4*n - 38 = 0, -b*n + 56 = 4*w. Calculate the remainder when w is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -7\/2. Let x = -4393336\/135 - -32543. Let l = x - 10\/27. Which is the nearest to f? (a) -2 (b) -1\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203242 bigger than 203242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 - 3)*(v**3 - 3*v**2 + 3*v**2) - 41 + 7 + 7*v**2 + v**3 + 31.\nAnswer: -7*v**3 + 7*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 208? (a) -0.18 (b) -2\/13 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 19*g - 81. Let c be r(-12). Suppose 0 = 2*w, -5*f + 648 = c*w - 322. List the prime factors of f.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48509510 and 24254755?\nAnswer: 48509510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -2.4, -0.5, -13\/57, 121?\nAnswer: -13\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*n - 44*n - 46*n in the form c + d*n and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 28?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 11185380.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 725 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 - 3*i + 7*i**2 - 4*i**2 + 12*i - i**3.\nAnswer: -3*i*(i + 1)*(2*i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1804579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 372.9675 - 373. Let b = 10.7325 + y. Round b to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -523603 rounded to the nearest ten thousand?\nAnswer: -520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -36907 to the nearest 1000.\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 24*v**2 + v - 1. Let j be z(-2). Let m = -1397\/15 + j. Is m greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -r - 5*j, 0 = 2*r - 3*j - 1. Let i be r\/12 + 190766\/60. Let k = 525034\/165 - i. Find the common denominator of k and 71\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92966 is divided by 2065?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 98112404729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*255\/(-54))\/(19290\/138888).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 898284511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 10:15 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wkwk when four letters picked without replacement from wakwkwwka?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.575040817 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4 = -8. Is 0.3 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 353*h - 40. What is i(1)?\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 11:38 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1043764*m - 2002*m**2 - 1043764*m in the form d*m**2 + p + u*m and give d.\nAnswer: -2002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2. Let d(v) = 720*v - 1480 + 1480. Determine d(f(r)).\nAnswer: -720*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -4. Let l be i\/9 - 92\/(-9). Suppose 4*o + 8 = 2*q, -o - 4*o + q = 4. Solve -4*w - 10 - l = o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/1993471?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1221.114129 rounded to the nearest 10?\nAnswer: -1220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 9*n**2 - 14*n. What are the prime factors of k(-10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67\/1366 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 70395663 to the power of 1\/2, to the nearest integer?\nAnswer: 8390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -682*z + 225*z + 218*z + 226*z.\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*x**2 + 29*x**2 + 552769*x**3 + 21*x**2 - 552775*x**3.\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 18*z - 5*z - 9*z. Let m(x) = x**2 + 2*x**2 - 2*x**2. What is m(n(l))?\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-15) + (-294)\/(-10). Suppose 0 = -2*r - 4*p + 56, 2*r + 3*p = r + c. Find g, given that -115*g**2 + 40 - r*g + 0*g + 111*g**2 - 12 = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1260 and 18396?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**3 - 86*c**2 - 1322*c - 463. Give w(55).\nAnswer: -573","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/(-30) + 3\/2)\/(24\/(-9))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-182 - -5) + -2*4\/2. Let u = -62 - j. Which is smaller: u or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-616)\/(-1056)*6\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 3*h**2 + 2*h - 3. Determine z(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/8 - 68\/(-16). Let k(m) = 9*m - q - 11*m - 1. Let w be k(-4). Calculate the highest common factor of 12 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 1953 + 164*m - 1953 in the form i + r*m and give r.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6*x + 1. Let b(s) = 5*s + 1. Let l(t) = -5*b(t) + 6*m(t). Let u(i) = i**3 + 4*i**2 - 2*i - 6. Let n be u(-4). Is l(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11431470.\nAnswer: 2, 3, 5, 463, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 1:08 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h - h - 2*h + (8*h + 5*h + 2*h)*(-2 + 2 + 3 + (2 - 2 + 1)*(-2 - 2 + 2)) to the form d + y*h and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(3) - (sqrt(3) + 1 - sqrt(3))*1) + sqrt(36)\/sqrt(432))*1 + 5.\nAnswer: 1 + 7*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.872007 and 35.\nAnswer: 37.872007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -0.5, -844?\nAnswer: -844","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-27))\/(3*((-221920)\/(-192))\/(-73)).\nAnswer: -2\/171","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1106225326 + 5?\nAnswer: -1106225321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 6*u = -10, 3 = a - u. Solve a*y = 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 12350*f + 95 - 71.\nAnswer: 12350*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1078560?\nAnswer: 2, 3, 5, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11, 18, 15, -4, -45, -114, -217, -360?\n\"Answer: -w**3 + w**2 + 11*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 37540 and -4?\nAnswer: 37544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -13?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 74 = -8*o - 7*o. What is the biggest value in 4068, o, -1?\nAnswer: 4068","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + 10\/(-3) - (-1 - -1). What is q in -4\/3 - 8\/3*q**2 - 10\/3*q - t*q**3 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7710824 is divided by 1542159?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - r, -2*v + r + 301 = 81. Calculate the highest common divisor of 80 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 59*l - 935. Let z be w(72). What is the third biggest value in -5, z, -6, -1\/7, 7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15*(3 + -1 - 3). Is (i\/(-30))\/(2\/180) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 23 = -1 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -249, -274, -299, -324?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 174\/(-64))\/(3\/4)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*(-1)\/(-2)*(-2)\/(-8)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409295?\nAnswer: 5, 109, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-52)*26\/39.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((1 + sqrt(19))*3)**2.\nAnswer: 108*sqrt(19) + 1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(4 + ((-15)\/6 - 0)). Suppose 2*f - 2 = -4*z + 32, r*f = -2*z + 39. Solve f = -i - 4*u, 0 = -4*i + 3*u - u + 28 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 t when three letters picked without replacement from {t: 5, n: 11}.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n - 16*n + 8*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 1:03 PM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -360 - -359. Suppose y + 1 = -3. Put -11, 2, y, h in ascending order.\nAnswer: -11, y, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddvdjdddddjvd. Give prob of sequence vvd.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f + 48 = -7*f. Suppose -4*s - f*n = -8*n - 24, -4*n = -8. Solve -w - 3*j = 13, j = 4*w - 3*w - s for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 130*q = -3*f - 5*f + 6*f - 4, -4*f - 3*q + 8 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**8\/56 - 417*r**5\/5 + r**4\/6 + 8816*r. What is the third derivative of a(t) wrt t?\nAnswer: -120*t**3 - 10008","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 g when three letters picked without replacement from {c: 4, g: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2161498 to the power of 1\/2, to the nearest integer?\nAnswer: 1470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6*h - 4 = 0. Let m = -0.2 + -0.2. What is the second biggest value in h, 1\/4, m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(2\/35)\/d)**(-27))**(-49) assuming d is positive.\nAnswer: d**(378\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/2 - 76*i - 2888.\nAnswer: -(i + 76)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -23457872 divided by 4?\nAnswer: -5864468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 4, 9?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 45*b**2 + 5*b - 2. Let g(p) = p**2 - 1. Let f(w) = 2*g(w) - k(w). What is the second derivative of f(v) wrt v?\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + h + 4*h)*(-147*h**3 + 1322*h**3 + 3936*h**2 - 3936*h**2).\nAnswer: 2350*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/15 + 6862*a\/15 - 676672\/5.\nAnswer: -2*(a - 3104)*(a - 327)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -539.59.\nAnswer: 536.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-5))\/(3\/15). Let d(o) = o + 1 - 5*o + l*o + 5. Determine d(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 35*h**2 + 43*h - 93. Give i(-33).\nAnswer: 666","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 5*i**2 + 5*i - 14. Let k be 11\/((-308)\/(-24))*4*(-91)\/(-52). Give q(k).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 4) in base 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (4 - (5 - 3))) + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -104\/73 + -2\/511. Let f = y - -16\/7. Let 0*u**4 + 0*u - 4\/7*u**2 + 2\/7*u**5 + 0 - f*u**3 = 0. What is u?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10948011.\nAnswer: 3, 3649337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 34208*s. Let b(h) = -2*h + 32. Give a(b(t)).\nAnswer: -68416*t + 1094656","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - g - 2*g + 5*g - g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*d = -11, 3*q + 1 - 2 = -d. Let s = 3386 + -3382. Sort -4, q, -2, s in increasing order.\nAnswer: -4, -2, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -215 - -213. Which is the closest to u? (a) 1\/2 (b) 2 (c) -4\/7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjjy when four letters picked without replacement from dsyyyyjryzyyyjy?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**4 - 3*z**3 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2428 = 6*b - 4*h, 4*b = -5*h + 2437. List the prime factors of b.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 324566645 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 3, -17, -562 in ascending order.\nAnswer: -562, -17, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {x: 10, k: 1, e: 2, y: 1, q: 1, s: 3}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 340657801?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/3, -9, -4, 2\/7, 25, 5, 2820?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 197749 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 7*v**2 - 4*v - 10. Let f be t(6). Let x(z) = 2*z + 3*z - z**3 - 12 - 2*z - 6*z**2 - 2*z**f. Does 14 divide x(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 111 - 121 = 0. Let t = 25.05 + 7.85. Let l = t - 33. Sort l, f, 1 in decreasing order.\nAnswer: f, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/206? (a) -6\/11 (b) 0.37 (c) -162\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 2 + 19. Let u = -29 - -53. What is the lowest common multiple of u and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -295 + 294. Let v = -0.7 + 1. Let j = -8 - -12. Which is the nearest to m? (a) j (b) 1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 67 = 243. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 58 = v - 181, 5*v - 5*m - 540 = 0. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48932027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftf when three letters picked without replacement from {f: 5, t: 1, l: 4}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6731666 centuries to millennia.\nAnswer: 0.06731666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.31 + 0.31. What is the third smallest value in r, -0.2, -1, 1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365291009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 8. Suppose -3*a + 0*a = -g. Suppose -2*j + 0 = -2*m + 6, 2*j = a*m - 10. Solve 5*q + 7 = m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -5. Let d = z + 5. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1298670048 to the nearest integer?\nAnswer: 1091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.2 * 4.\nAnswer: 12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -593547 bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-16) - 66\/(-8). Suppose 0 = -10*s + n*s + 10. Which is the closest to -0.2? (a) 0.3 (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36491858.\nAnswer: 2, 13, 1403533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -1, 1\/3, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -44? (a) -0.3 (b) 20 (c) -7\/5 (d) -8\/5 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 - -185. Let c = 149 - y. Does 19 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -102*t**4 + 2*t**2 - 2 + 101*t**4 - 2*t**3 + 1 as f + p*t**2 + m*t**3 + g*t + c*t**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 200 = -25*m - 4*a, 2*m = 27*a - 12*a - 17*a + 16 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 2*d - 24 = 0, -2*g + 10324 = -6*d + 10386 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8855, 35612, 80173, 142544, 222731, 320740, 436577, 570248?\n\"Answer: f**3 + 8896*f**2 + 62*f - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-2)\/3*-3*(-16)\/20?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 2702653.\nAnswer: -2\/2702653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -266 - -2667\/10. What is the common denominator of b and -2 + 186\/(-28) - -2?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*w - 61*w = 4. Solve 4*f - f**3 - f + f**w - 4*f + f**2 = 0 for f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 x, 1 l, and 1 k when four letters picked without replacement from xkkxrlby.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -667 - -667.05584. What is t rounded to 3 decimal places?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 3 - 1)*(-2 + 2 + 2) - 1 - 2 + 1)*((4*j + 0*j - 2*j)*(2364 + 3213 - 959) + (j - 2*j + 3*j)*(2 + 0 - 4)) in the form h + v*j and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-15)*(1 - (45\/(-10) - -4)). Suppose 5*v + 0 = 4*r - 3, 3 = 3*r - 3*v. Let a be 8\/(-3) - r\/6. Sort x, a, 5 in ascending order.\nAnswer: a, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 7*r**2 - 8*r - 2. Let v(t) = t**3 + 5*t**2 + 5*t - 4. Let q be v(-4). Calculate l(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1147384 and 121912?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s + 12*s - 31 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1786, 2202, 2890, 3856, 5106?\nAnswer: 6646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + -991904421.9889.\nAnswer: -991904416.9889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/2 - 369*w**2\/2 + 45387*w\/2 - 1860867\/2.\nAnswer: (w - 123)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.44 equal to -11691?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -22682?\nAnswer: 22682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 447632571 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -551687*c + 3 - 1 + 551683*c - 20.\nAnswer: -4*c - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255616?\nAnswer: 2, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -726, -716, -726, -762, -830, -936, -1086, -1286?\nAnswer: -1542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 47.843186 - -0.4\nAnswer: 48.243186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 4 + -64 + 53 + -32?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + -1*-3*sqrt(88))\/((-2*sqrt(1152) - sqrt(1152)) + sqrt(8)).\nAnswer: -4*sqrt(11)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o - 3 + 2 + 6 + 0. Let l = -68 + 65. Let s be b(l). Which is smaller: -3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 425265, 850531, 1275797, 1701063?\nAnswer: 2126329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(7) - (-3 + sqrt(63)))*-3 + -5)*-4.\nAnswer: -24*sqrt(7) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20888*t**3 - 74*t**2 + 23623109*t?\nAnswer: 125328*t - 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*t - 2395 = -5486 - 5953. Are t and 309 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 29, 53, 87, 131?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 1 + 8)*((-342 - 397 + 529 + 4 + 6 - 6 + (0 + 0 - 1)*(-4 + 4 + 2))*(2*h + 0*h - 3*h) - 2*h + h + 3*h) as t*h + n and give t.\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-31)\/(-20))\/((-872)\/(-13080)))\/(6\/(-8))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 790 = 5*b, 3*d + 441 = -4*b - 385. Let t be (26\/4)\/(d\/(-108)). Let k = 1 - -1. Do t and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -594 at least -594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, k: 1, f: 1, q: 1, p: 2}. Give prob of sequence sp.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 29*c + 13\/96*c**4 - 2 + 1\/160*c**5 + 11\/16*c**2 + 23\/48*c**3. Solve o(u) = 0.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16.83 and 107.9.\nAnswer: -1815.957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 5 (c) 231 (d) 2 (e) 58 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001312915418 rounded to 7 decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqq when three letters picked without replacement from qqyqqqyqqqy.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 57\/5 of a tonne?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*u + 8, 3*u + 4 = 4*r + 6. Suppose 0*o + 4*h = -u*o - 12, -5*h = -o + 29. What is the remainder when 10 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 3*d - 40. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-6851.\nAnswer: -20553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 0, -1\/2, -2, 2\/3 in increasing order.\nAnswer: -2, -1\/2, -1\/7, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + x**2 + 4. Let f be i(2). Suppose -12*j + 10*j + 48 = f. What is the greatest common factor of 32 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 35 + 3*r**2 + 31 + 8*r**3 - 2*r**3 as u*r**2 + m*r**3 + z*r + t and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 290*b**2 - 589*b**2 - 1154*b**2.\nAnswer: -1453*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0. Let f = -0.04 - -0.14. Let k = f - 0.6. Which is the second biggest value? (a) k (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12619757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1128384 divided by 54?\nAnswer: -20896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -340*z**2 - 239*z + 1. Calculate s(-1).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9e67 (base 16) in base 3?\nAnswer: 2001121220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*j - 36, -h = -j - 5*h - 6. Let o = j - -1. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-459)\/(-102))\/((-24)\/(-252)*(-1)\/(24\/27))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**5\/20 + c**2. Let y(f) be the third derivative of -f**5\/60 + 12*f**2 - 3*f. What is y(i(o))?\nAnswer: -9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9, w: 3, d: 3, t: 2}. What is prob of sequence ddwq?\nAnswer: 27\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -1, -6, -15, 174 in descending order.\nAnswer: 174, 5, 2, -1, -6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*b**3 + 123*b**3 + 101*b**3 - 563*b**3 + 144*b**3 + 109*b**3.\nAnswer: 58*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 734 is divided by 38.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i + 10. What is h(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 4:57 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8204*t + 1862 = 8302*t for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 106.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5 + 29 = -5*k, -5*y - 5*k = 0. Let o = 12 - 3. Suppose -o - 12 = -y*v. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-5\/7))\/y**(3\/7)*(y\/(y\/y**(1\/2)))\/(y**4*y) assuming y is positive.\nAnswer: y**(-45\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, -7\/3, 44, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/102 and 81\/7432468.\nAnswer: 22297404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 18 - 28 = 0. Let p = -5 + 7. Let q = 2 - p. Which is the closest to -0.1? (a) q (b) 0.3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 172371819 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + 4. Suppose -g*r - 20396 = -33*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23694 - 23670. Solve -27*w + 213 = k for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a - 31. Let g be d(19). Find the second derivative of -i - 12*i**5 + g*i**5 - 5*i**5 wrt i.\nAnswer: 180*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2 + 2*y**2 + 3*y**2 + 4*y - 4*y**2 - 2*y. Let h(w) = -w**2 - 1. Let z be 108\/48 - ((-10)\/8)\/(-5). What is z*h(j) + t(j)?\nAnswer: -j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6\/11, 0, -1813, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3f + -6b?\nAnswer: -aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4685 = -73*j + 105326. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**4\/12 - g**3\/6 + 2*g. Let w(x) = 5*x**2 - 2. Let d(v) = -4*a(v) - w(v). Let k be d(4). Solve -5 = -3*y - k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -90075*l**3*p**3 - 6*l**3*p - l**3 - 148*l**2*p**3 - 5375*l**2*p + p wrt l?\nAnswer: -540450*p**3 - 36*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (10 - (-1 + 12)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2919*v - 1374911. What is l(-471)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - -450)\/((-7)\/(-63)). Let v = k - 2518. Suppose v + 7229 = 10*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.37771 micrometers in meters?\nAnswer: 0.00005037771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2 = -3. Let w be d - (2\/2 + 1). Let j = w - -2. Solve 0 = -j*f + 5, -f = -0*i + i - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 4*d**3 - 344*d**2 + 1328*d - 1312 = 0.\nAnswer: 2, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*y**6 + 81*y**3 - 128*y**2 + 2 wrt y.\nAnswer: 240*y**3 + 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 11922.72?\nAnswer: -11925.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13361\/5 + -2672. What is the second smallest value in f, 150, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -42*g**3 + 105*g**2 - 187*g + 142. Let y(n) = -5*n**3 + 13*n**2 - 23*n + 18. Let d(c) = 3*o(c) - 25*y(c). What is d(-11)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5270.2 + -5267.2. Let t = -1 - -2. Which is the nearest to t? (a) n (b) 0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55*x**3 + 55*x**2 - 11939*x?\nAnswer: 330*x + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*g = -84*g + 1400. Calculate the smallest common multiple of 126 and g.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4895 is divided by (80 - 36)*12\/11.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4 = h. What is the remainder when 9 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2205799, -2205675, -2205551, -2205427?\n\"Answer: 124*m - 2205923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ararrjtartt. Give prob of picking 3 r and 1 a.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3053*b**4*j - 11*b**4 - 2*b**3*j + b**3 - b**2*j - 4*b*j + 40659 wrt b?\nAnswer: -73272*b*j - 264*b - 12*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 213 + -195. Suppose 123 = -d*k + 19*k. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5005990 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 31*z**2 + 2*z - 1. Let q = -597 + 621. Calculate the smallest common multiple of q and t(1).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9, q: 6, x: 4}. Give prob of picking 2 q, 1 x, and 1 u.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6*t + 3*f = -2, 8 = 4*f. Suppose -8*m = -0*m - 24. Solve m*x + t = -4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, s: 4, g: 2, o: 2, v: 5}. What is prob of picking 2 o?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -156, -354, -640, -1020, -1500, -2086, -2784?\nAnswer: -3600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/511 and 41\/6643.\nAnswer: 6643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2581 and 1.15625?\nAnswer: -2984.28125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7*i + 7. Let p be 1*(1 - -4 - -1). Let z(d) = -8*d - 3 + 2 + 10*d - d. Determine p*z(c) + l(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/22*-4*(-198)\/72\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 10*d - 12. Let j(p) = -p + 1. Calculate -2*i(o) - 18*j(o).\nAnswer: -2*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26056223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -52 and -0.0417.\nAnswer: 2.1684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18433726.\nAnswer: 2, 2777, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14379378\/7 - -2050894. Let s = h + 3310. Let n = s + -331\/63. Find the common denominator of 9\/5 and n.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 0*b**5 - 1\/660*b**6 - 11*b**2 + 0 + 0*b**3 + 0*b + 0*b**4. Find v, given that w(v) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87 + -1 + (-143 + 194 - 74)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*n = 5*f - 5, 3*n - 11 = -4*f. Suppose -2*y + 5*t = f, t + 10 = -5*y + 32. Suppose y = 2*c - 16. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172312 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 2*i + 11, 2*i - x - 19 = 4*x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/579023?\nAnswer: -4\/579023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 d when two letters picked without replacement from {d: 2, c: 1, l: 5, r: 8, a: 3}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1038929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2882*x - 2639. Calculate the remainder when l(-8) is divided by 82.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9125.301kg?\nAnswer: 9125301000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*a - 3*b + 69 = -39*a, -47 = -a - 5*b. Solve a*u + 44 = 32 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/562295 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*u**4 + 3*u**4 + 0*u**4 + (0*u**2 + u**2 + 0*u**2)*(-13*u**2 + 19*u + 15*u - 32*u).\nAnswer: -16*u**4 + 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6000 divided by -250?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67780 + -26894. What are the prime factors of a?\nAnswer: 2, 20443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90 + 25 + (-100 - -40) - (-1 + (0 - -4))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 661 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -1 - -5) + -2. Let p(y) be the second derivative of 19*y**3\/2 - 33*y**2\/2 + 124*y - 2. Let s(u) = -u - 7*u + u + 4. Determine d*p(i) + 33*s(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31555874 + 66260*b + 31555874.\nAnswer: 66260*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -7 (c) -0.2 (d) 0.029 (e) -3\/5 (f) -16\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -c2?\nAnswer: bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - r**2 - 64*r + 194. Calculate d(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321118331 is divided by 88.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 8:04 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven eighths of a day?\nAnswer: 1980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -1 + sqrt(13))*-6)**2 - (sqrt(130) - 1*sqrt(130))\/sqrt(10)*-4.\nAnswer: 72*sqrt(13) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.6273*19.\nAnswer: -30.9187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3476736 divided by 6036.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15100 and 3820.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 21*m - 18. Let h(b) = -6*b + 5. Determine 18*h(k) + 5*v(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*z**2 - 1056110*z + 352035.\nAnswer: 5*(z - 70407)*(3*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*a = -44. Let q(c) = c**3 - 11*c**2 + c - 5. Let g be q(a). Suppose -149 = -g*h + 2*h - 3*x, 4*x = -h + 47. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = k + 4*k - s, -4*k + s = -15. Suppose v + 41 = -2*g + 136, k*g = 20. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xknakdkkdk. What is prob of picking 2 k?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**5\/20 + i**4\/12 - i**3\/2 + 2*i. Let h = -3802 + 3799. What is x(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 3592*v = 3588*v + 20, -4*w - 5*v + 25 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 10*l + 7. Let w be s(7). Let m be 17379996\/22 + w\/(-77). Round m to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2 - 4*m - 40. Give g(-6).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 340654487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -29*q**2 + 6*q + 6. Let a(w) be the third derivative of 59*w**5\/60 - 13*w**4\/24 - 13*w**3\/6 + 87*w**2. Give -6*a(c) - 13*b(c).\nAnswer: 23*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 156 + -82. Suppose t*j = 78*j - 636. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 371, -8, 4171, 3, 5 in decreasing order.\nAnswer: 4171, 371, 5, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4277 = l, -4899 - 2232 = -5*k + l. What are the prime factors of k?\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 335367 divided by -13.\nAnswer: -335367\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttutuu. Give prob of picking 2 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = v + 2*v + 11, 3*o - 2*v = 16. Let w be o\/(1112\/(-8837)) - -1. Let a = w - -20\/139. What is the common denominator of a and -34\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2627\/740418 - 5\/854. Let d = p - 20786\/9537. Calculate the common denominator of 41\/4 and d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 3:09 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a - 2. Determine v(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - x - 1. Let p(i) = -3*i - 2. Let m = 20 - 22. Let j be (-2)\/4 + 2\/4. Suppose j = y + 1 - 2. Give m*h(q) + y*p(q).\nAnswer: -2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 299688.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + d + 2. Let j be q(-2). Let b(a) = -3*a. Let l(r) = 2*r - 1. Let f(x) = j*l(x) + 3*b(x). What is the units digit of f(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1307 - 272. What is the remainder when v is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0 (b) 2 (c) -4 (d) 5\/3 (e) 0.331\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*n - 396 = -21*n - 102*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6 = -2*o + 2*k, -3*o + 5*k - 15 = 0. Suppose -2*w - 3*n = -o*w - 15, -2*w - 5 = -n. Is w smaller than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (498 - 2068*v + 4123*v - 2050*v)*(-2 - v**2 + 2) as c*v**3 + b*v + l*v**2 + r and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -8. Does 4 divide (-4)\/(10\/k + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33639 (base 15) to base 2.\nAnswer: 100111111001001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-3\/37)*p*p**41*p*p**(-3\/20)*p**22 assuming p is positive.\nAnswer: p**(48789\/740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**2)*o*o*o**(-32))\/(o**(-21)*o**(-2\/35)))**(-21) assuming o is positive.\nAnswer: o**(1149\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2\/5 + 4448*b\/5 - 1776.\nAnswer: -4*(b - 1110)*(b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2)*-1)\/(52\/416).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 - 56. Suppose -g*a = -5*r + 540, -4*r = -2*a + 3*a - 442. Calculate the remainder when r is divided by -1*((-40 - 1) + 4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + (-10 - 1) + (-15 + -8 - -26)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + (-9)\/(-6)*2. What is the remainder when 50 + -32 - (-4 - -1) is divided by (-3)\/(-1) + o + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 128775\/8, 2, -5\/17, -4, 1\/3 in increasing order.\nAnswer: -4, -5\/17, 1\/3, 2, 128775\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 5*v + 1. Suppose a - 100 = -4*a. What is the remainder when a is divided by w(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-30))\/((-4)\/(-18)) + 250\/625.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-206)\/42 + (23 - 18) and (7\/27)\/(-7 + (-1169)\/(-168)).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24437618?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -989 or -20?\nAnswer: -989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.0082227 + 137\nAnswer: 136.9917773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccmiyeil. What is prob of sequence elm?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/11 + 20*g\/11 - 150\/11.\nAnswer: 2*(g - 5)*(g + 15)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 54?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 5*q - 58. Let y be n(5). Let k(x) = 374*x + 14. Let f(s) = -125*s - 5. Let h(b) = y*f(b) - 3*k(b). What is the hundreds digit of h(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.8 + 2.7. Let l = 3.3 + q. Which is the biggest value? (a) -1\/2 (b) l (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316\/3 equal to -0.72676?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -7\/3, -0.07, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14437?\nAnswer: 14437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 37*x + 230*x**2 - 229*x**2 - 37*x. Let f(b) = -170*b - 2. What is y(f(w))?\nAnswer: 28900*w**2 + 680*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*o - 2, 1 = 2*c - 3*c. Let z be (37\/(-33) + o)*1. Let i = z - -5\/11. What is the closest to i in -4, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y - 13. Let i be m(10). Let o = i + -4. Let w = 1 - 3. Which is the third smallest value? (a) w (b) o (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-6) + (-80)\/(-165). Let g = -22.011 + 0.011. Let x = 22.1 + g. Which is the closest to x? (a) -1\/2 (b) 2\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 696 - 692. What is the lowest common multiple of s and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3826*t + 1. Let j(h) = -931*h**2. Determine u(j(a)).\nAnswer: 3562006*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 360907 = u - 360836, 2*u + 139 = 3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 - 28. Which is the second biggest value? (a) k (b) 0.5 (c) 2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 228 or 204?\nAnswer: 204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 55\/22 - (0 - -3). Let f = 0.04 - -0.03. Let s = f + 0.23. What is the closest to h in s, -4, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -313*h + 317*h - 448. Calculate the least common multiple of h and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1016302 (base 12) in base 16?\nAnswer: -2e0b32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -85552 - -85656.751. Let n = c - -0.249. Let w = -100.2 + n. Round w to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 5 + 3)*(-5 - g + 5) + 2*g - 3 + 3)*(4 - 57*g + 3 - 6).\nAnswer: -57*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -332063215*y - 223552461 wrt y.\nAnswer: -332063215","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -41 - -1350507?\nAnswer: 1350446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 11*r + 34. Let p be l(-3). Which is smaller: -1\/277 or p?\nAnswer: -1\/277","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-13\/5)*t))\/(t*t\/(t*t\/t**(2\/5))*t))**(3\/22) assuming t is positive.\nAnswer: t**(9\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 6*z**2 + 8*z + 8. Let h be i(8). Let q = h - -60. Calculate the least common multiple of 16 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7383*x - 14475*x - 2316948 for x.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.193851g in nanograms?\nAnswer: 4193851000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**5 - 23*b**4 - 673*b**3\/4 - 326*b**2 + 464*b - 128 = 0.\nAnswer: -8, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5175\/55004?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f - 3. Suppose 7 = 3*m - m - q, -4*m - 5*q = -7. Suppose 0 = 2*x - 5*p + 19, x - 2*x + m*p = 11. What is u(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a factor of 680846831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 12*i**3 - 1024*i**2 + 4172*i + 3240 = 0.\nAnswer: -2\/3, 5, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*(h*h\/h**(-2\/5))\/h))**(-49)\/(h**(-3)\/h**(1\/3)) assuming h is positive.\nAnswer: h**(1079\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*o**3 + 8309*o**2 - 47080*o - 4?\nAnswer: -48*o + 16618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2359 + 1158 + 1208 - 334*h)*(-6*h**2 + 3*h**2 + 4*h**2) + 2*h**3 + 2*h**3 - 3*h**3 + (-h - 2*h + h)*(-3*h**2 - h**2 + 3*h**2) + 2*h**3 - 2*h**3 - h**3.\nAnswer: -332*h**3 + 7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -6, 0.3, -0.4, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1dd3e1 - 1?\nAnswer: 1dd3e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10.9 - 47.4\nAnswer: -36.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-13\/3)*u)**(-3\/11)\/(u**5\/(u\/((u**(-1\/17)\/u)\/u))) assuming u is positive.\nAnswer: u**(-193\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -155343173*m**2*r**3 + 4679*m*r**2 - 33*m*r + r**3 + 6*r wrt m.\nAnswer: -310686346*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 58133*p - 639434. What is c(11)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2126*s = -2478*s + 17600 for s.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 197005905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((0 - 3) + -1) - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3675 - 3676. Let l = 0.072 - -31.928. Sort -4, l, b.\nAnswer: -4, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/4 and -59\/16280.\nAnswer: 16280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w + 110735 - 381683 = -107*w. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*5\/10)\/((-5)\/35)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1054*k - 14586 - 19165 = 4318 + 37819 for k.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 103*y**2 - 41*y + 13. What is the units digit of k(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -92 + 33 + 6*w**2 - 10*w + 9*w + 64. Let i(m) = -6*m**2 + m - 4. Calculate -3*d(a) - 4*i(a).\nAnswer: 6*a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90434861.\nAnswer: 11, 1511, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 680.2242 rounded to 1 decimal place?\nAnswer: 680.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.28 - -2.38. Which is the third smallest value? (a) 3\/7 (b) -16 (c) g (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 + 1150*n - 106216. Calculate t(81).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.7 - 1.7. Let a = -3 + n. Sort a, 0.3, 3\/7.\nAnswer: 0.3, 3\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 3:58 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*z = 44*z + 8. Let y(m) = -4*m + 2*m - 2*m. Let l be y(z). Solve j + i = -l, 3*j = -j + 4*i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 - 11\/(231\/182))\/(12\/(-14)). Is f < -66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (896\/176 - (1 - (-4)\/(-4)))?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 11. What are the prime factors of 12\/7 - 2\/z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 - 51*o**2 - 1.\nAnswer: -51*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2.2 (b) 0.1 (c) -2\/125 (d) -4\/5 (e) 3 (f) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -3 + 9 + -6 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Suppose 2*c = c + 6. Let z be (c\/(-90))\/((-4)\/10). Let v = -3 - -3.1. Which is greater: v or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87173347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000200024 to five dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, p: 2, b: 2, m: 3, k: 9}. Give prob of sequence lb.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 267999 + -127580. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -10 + 0 + 3*r - 4 + 14. Let z(j) = 8*j + 12. Let d(w) = -1. Let s(o) = 24*d(o) + 2*z(o). Give s(p(f)).\nAnswer: 48*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 4*g**5 + 18540*g**4 + 17194488*g**3 + 4533893416*g**2 + 9016277508*g + 4499560044 = 0.\nAnswer: -3499, -567, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10110011110101 (base 2) to base 6\nAnswer: -125141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 104150319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-689)\/106 + 23\/2. Solve -3*u - 17*x - 2 = -21*x, -x + 12 = w*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27322484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 132128 to the nearest 1000.\nAnswer: 132000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 7*h + 19. Let b(n) be the second derivative of -2*n**3\/3 - 5*n**2 - n. Let z(d) = -11*b(d) - 6*s(d). Let m = -3596 - -3599. Calculate z(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -322 by 3839.\nAnswer: -322\/3839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1.87 * 374440\nAnswer: -700202.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -k + 806, 9*k - 154 = -c + 7*k. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - v + 20 = -2*x, 5*x + 22 = -3*v. Let q = v + 14. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 12*a + 54181 = j, 3*j = 5*a + 162576. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 6\/2)*-1. Let a = 7 + 7. Is 21*(a\/3 - b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2100222 + 121222011?\nAnswer: 201100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*s = 52, -3*i + s + 32 = -3*s. Let t = -84 - -164. What is the greatest common divisor of t and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 55*p**2 - 5*p + 173. List the prime factors of d(57).\nAnswer: 2, 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4.43, 0, -40, -2, 1.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.5 (b) 137.9 (c) -2\/7 (d) -0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 147*a - 10. Let u(k) = k**2 + 4*k + 7. Let c be u(-2). Is h(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25*(-10)\/(-4)*(-114)\/950?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -414 (base 5) to base 7\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7147864 and 200?\nAnswer: 178696600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -51726 (base 9) to base 8\nAnswer: -102515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 124*v + 128*v + 36 = 0, 3*g - 5 = 5*v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**3 - k**2 + 3*k + 3. Suppose 4*s = 5*r + 162, 3*r + 6 + 96 = 4*s. Let i = 32 + r. Suppose -5*z - 9 = -b, i*z - 6*z + 2*b = 6. Calculate j(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23277.\nAnswer: 3, 7759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 378617.8 meters?\nAnswer: 37861780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 9*z**2 - 5*z - 4. Determine v(-3).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1*1)\/(-1))\/(49*(-50)\/(-31850)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275 = 53*v - 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyyyymymymy. What is prob of picking 2 m?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 11*y + 172. Let d = -27 - y. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = -18 - 62. Let x(h) = 12*h**3 + 18*h**2 - 52*h + 23. Is x(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1323674, 2647349, 3971024, 5294699, 6618374, 7942049?\nAnswer: 9265724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 100, -75 in ascending order.\nAnswer: -75, 11, 100","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Convert -1f649 (base 16) to base 8.\nAnswer: -373111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-149)\/68)\/((-243)\/1215) - 8) + (-12)\/4.\nAnswer: -3\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 2193?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -55*i**2 - 830*i - 32. Determine x(-15).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2 - 352*r + 2 + 286*r.\nAnswer: -66*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 4*p + 2*p)*(0 + 1 + 1)*(3*p + 2*p**2 - 3*p).\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 20*g + 4 - 6 - 1 to k*g + d and give k.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 22, 55, 122, 235, 406, 647?\nAnswer: 970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -8*x**3 + 5*x**2 + 5*x + 3. Let w(i) = -834 + i**2 + i + 835 + 0*i. Determine o(b) - 5*w(b).\nAnswer: -8*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 18fc1?\nAnswer: -18fc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3854 - 3849. Let z = 11 + -31. Let u be 35\/z*-4*1. Sort u, 2, h in decreasing order.\nAnswer: u, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (3 + -2) - 14.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2205 divided by -2205?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/3)*a)**(-6\/11) assuming a is positive.\nAnswer: a**(-8\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 1349 = 384. Suppose -18 = y - r. Let x be -10*(-7)\/(-2)*(-6 + 5). Calculate the highest common divisor of y and x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -157, -193, -219, -229, -217, -177?\n\"Answer: f**3 - f**2 - 40*f - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 39\/2 (b) -1 (c) -5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 6*p**2 + 8*p + 9. Suppose 0 = -5*t - 3*c - 6, -5*t + 2*c = 22 - 1. Let a be (17 + t)*(-1)\/2. What are the prime factors of z(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v + 18*v - 3*v + 3 - 2*v - 3 + (2 - 1 - 3)*(-1 + 1 - v) + v - 1 + 1 + 5*v - 3*v - 4*v.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(117)*-5 + -1)**2 - 6*(2*sqrt(13) - sqrt(13))*2).\nAnswer: -11704 - 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 9:15 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-6)*(-12)\/5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -49013 - 880?\nAnswer: -49893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -31\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-6)*g*(g*g**(-7))\/g*g*g)\/(g**(-3\/7)\/g*g*g**(1\/3))*(g\/((g*g**(-9))\/g)*g**(-8))**(-44) assuming g is positive.\nAnswer: g**(-2014\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**3\/5 + 729*p**2\/5 + 27216*p\/5 - 70870464\/5 = 0.\nAnswer: -279, 504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*u = 5. Suppose h + 25 = 3*d + 2*d, 0 = -d - u*h - 21. What is the lowest common multiple of d and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2255500 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -430 or 0.1?\nAnswer: -430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 13858 (base 10) to base 14\nAnswer: 509c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94442 + 94222 = -44*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7866731.815 take away -5?\nAnswer: -7866726.815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5837373 is divided by 26.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.3, 3, 3\/5, 12, 2\/13 in ascending order.\nAnswer: -1.3, 2\/13, 3\/5, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2784 + 1?\nAnswer: 2785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 514.0539kg to micrograms.\nAnswer: 514053900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 89*y**4\/12 - y**2\/2 + 3*y. Let b be v(2). Suppose -b = -5*g + 3*u, -u = -2*g + 184 - 43. Does 21 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 64 - (230 + -342 + 139).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 15*q + 385. Let t be (-5)\/((-5)\/2) + -1. Let h = 10 - t. What is the lowest common multiple of a(-25) and h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n - 2*n + n**3)*(3*n - 4*n - 2*n) - 168*n**2 - 29*n**4 + 168*n**2 in the form y*n**3 + k*n**4 + f*n**2 + b + h*n and give k.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 99936 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 103*h - 38*h + 585 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.078 and -3?\nAnswer: -0.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*z**2 - 4*z**2 + 4*z**2 - z**2 + 256 + 25*z**2.\nAnswer: 2*z**2 + 256","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6.9+-93944\nAnswer: -93937.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 519 and 0.1.\nAnswer: 51.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -11, 1 in increasing order.\nAnswer: -11, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -11990\/8473 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-78)\/13 - -2*2. What are the prime factors of 1\/(((-2)\/22)\/(1 + a))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 8:24 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2288195981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 8*q**2 + q + 1. Let x(d) = 4*d**2 + d + 1. Determine -2*o(w) + 5*x(w).\nAnswer: 4*w**2 + 3*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8084?\nAnswer: 2, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -38728938 and 0.2728.\nAnswer: -38728937.7272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**3*y**3 + j**3*y**2 + 139*j**3*y + 287*j**3 - 2*j**2*y**3 + 18424*j*y**3 wrt y?\nAnswer: 12*j**3 - 12*j**2 + 110544*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35670365 and 835.\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -353 + 38.5. Let f = 314 + l. What is the fourth smallest value in 3\/23, f, -3\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2191?\nAnswer: 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 3914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 204757 and 204756 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -7*j - 2. Let o(d) = d + 6 + 3 - 3 - 6. Give -c(u) - 6*o(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1473 = y - 2*y + 4*k, -k = 2. Let b = -99287\/40 - -20271\/20. Let i = b + y. What is the common denominator of i and -61\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-2*(-1)\/(-2)). What is the units digit of (0 - (-3)\/i)*-4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -107*p + 10025 + 35071*p**2 + 107*p - 10025 to the form m*p + r + v*p**2 and give v.\nAnswer: 35071","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8942816 is divided by 3848?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35121620 and 18.\nAnswer: 316094580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 286, 226, 120, -38, -254, -534, -884?\n\"Answer: -k**3 - 17*k**2 - 2*k + 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -x + 24, 30*x = 31*x + 4*t - 24. Calculate the greatest common divisor of x and 780.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r*r*(r*r\/r**(-3\/10)*r)\/r*r)\/r)*r\/(r*r**(-4)*r)*r*r)\/((r\/(((r*r**(1\/8)\/r)\/r)\/r))\/(r\/(r\/(r*r*(r**(-1\/4)*r*r*r)\/r)))) assuming r is positive.\nAnswer: r**(103\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-3))**(3\/14)*(j**2)**9)**(2\/19) assuming j is positive.\nAnswer: j**(264\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/12)*s**(-3) assuming s is positive.\nAnswer: s**(-35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169644, -169746, -169848, -169950, -170052, -170154?\nAnswer: -170256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*u - 92*u - 235 = 0. Is u less than -47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 0 + 2 + -1. Let t = 0.017 + 0.183. Which is the third biggest value? (a) x (b) 0 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*v = -44*v + 1824 + 1713 - 2081 for v.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6628 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 7*v - 2. Let f(r) = r**3 - r. What is -a(x) - 2*f(x)?\nAnswer: -x**3 - 5*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 75\/30*(-4258)\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 - 6*r - 6. Let j be z(5). What is the highest common factor of 126 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011158 to four dps.\nAnswer: 0.0112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20.42 (b) 4\/9 (c) -407 (d) -1\/18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35558118 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*s - 5*w = -15, s - 3*w + 9 = 0. Let v(a) = a**2 - a + 113. What is the tens digit of v(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 11) to base 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + t - 1. Let l(w) = 4*w**2 - 6*w. Let n(s) = -l(s) + 3*x(s). Let i(u) = u. Let b(a) = -4*i(a) + n(a). Suppose 48*c - 77 = 37*c. What is b(c)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-21 + 14 - -14 - (4 + 1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 0 + (44 - 47).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -207 - -228. Suppose 2*w = -5*w + p. Solve -4 = -2*a, 1 = w*k - 2*a + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 387 and 1.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-190)\/40)\/19*0\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(7)*2*-1.\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.5, -115.3, 0.1 in decreasing order.\nAnswer: 0.5, 0.1, -0.1, -115.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u + 21*u - 11 = 11*u for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1252089?\nAnswer: 3, 139121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 4290 (c) -1.19 (d) -2 (e) 2 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -435.1 - 4.3?\nAnswer: -439.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -168 + 167. Calculate the common denominator of 1 + p\/(-3) + (-350)\/24 and -15\/58.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b, -124 + 43 = -3*x + 3*b. Let w = x - 27. Suppose w = 13*k - 12*k - 5. Calculate the greatest common factor of k and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 540?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-44 + -4)*(2 - (-7)\/(-3)). Solve q = 8*z - 0*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 75*r = -35*r + 88200. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 4*o, 3*i + 10*o = 6*o + 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-140))\/((-1)\/10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-9))\/(-4)*-4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50792095 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2649 divided by -1.\nAnswer: 2649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lol when three letters picked without replacement from {o: 4, l: 15}?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35*(-4 - 288\/(-84))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + -2*3\/(12\/(-4)). Suppose -4 = -i - q*i - 5*g, 4*i - 5*g - 66 = 0. Is i smaller than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1\/31383 (b) 1019 (c) 2 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, o: 3, h: 5, e: 2, m: 3}. What is prob of picking 1 m and 2 e?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10343*d + 130788 = 4115*d for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 + 204*u + 26550.\nAnswer: -2*(u - 177)*(u + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -19*q**3\/2 - 17*q**2\/2 + 7*q. Is y(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3806046 - -3806046.8656989. Let c = a - 24.8656879. Let s = -24 - c. Round s to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 4*(7 + 1293\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 5*s**2 - 5*s + 3. Let q be u(3). Let j be q\/(-44) + (-27)\/(-4). Solve -63\/5*w**4 + 9\/5*w - j*w**5 - 3*w**3 + 33\/5*w**2 - 6\/5 = 0.\nAnswer: -1, 2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**3\/3 - 17. Let y(f) = 39*f**2. Calculate y(s(r)).\nAnswer: 39*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 201, 203, 205, 207, 209?\n\"Answer: 2*i + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v**2 - 4*v - 2. Let s be g(2). What is the third derivative of 59*l**2 + 0*l**5 + 0*l**5 + l**3 - 2*l**5 - 123*l**s wrt l?\nAnswer: -120*l**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 - -39. Suppose 14 - 4 = q*n. What is the units digit of ((-3)\/9)\/(n\/30)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10661726 (base 10) to base 6.\nAnswer: 1020303502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 7.6?\nAnswer: 2.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5*46\/51520*144\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 35, 0.5, -0.4, 25\/2, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1892079504 a multiple of 681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**5 + 851*n**2 - 40 - 857*n**2 + 7*n**3 + 300 - 3078*n**4 - 8*n**3 wrt n?\nAnswer: -60*n**2 - 73872*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302185571 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 10:29 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -2270?\nAnswer: -9080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*q - 15 + 2 = 0, -2*u + 2*q = -6. Suppose u*d = d - s + 90, -3*d + 56 = -5*s. Calculate the lowest common multiple of d and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100110 (base 2) in base 5?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 7434434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/9 - 4528*m\/3 + 2969696\/9.\nAnswer: -2*(m - 212)*(m + 7004)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -9, 3, 21, 45?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 v, and 1 y when three letters picked without replacement from vqqvyqyyvyqyqqy.\nAnswer: 108\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 2*j**5\/25 + 3*j**4 + 424*j**3\/15 + 168*j**2\/5 - 576*j + 878. Let b(z) = 0. What is z?\nAnswer: -20, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -308 - -481. List the prime factors of z.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 8*m - 7. Let j(h) = 159*h + 1109. Let k be j(-7). Let a(g) = g - 1. What is k*f(v) + 28*a(v)?\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 6:11 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(6\/11)*b**20)\/(b**24\/(b*b**(-7))) assuming b is positive.\nAnswer: b**(-104\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = -71*m + 15. Does -54\/23 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -14*i. Let x(d) = 1779*d**2. What is x(p(r))?\nAnswer: 348684*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3389981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -20*c - 52*c**2 + 49*c**2 + 143 + 20*c**3 - 10*c**3 + 161*c - 11*c**3 = 0.\nAnswer: -13, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10*(-6)\/90*15\/(-80). What is the closest to -1 in l, 0.2, 20, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, l: 1, j: 1, m: 1, h: 1}. Give prob of picking 1 l and 1 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 249979\nAnswer: -124989.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42538, -42540, -42542, -42544, -42546, -42548?\nAnswer: -42550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 16*x**2 - 15*x + 5. Let h(k) = 3*k - 9. Let t be h(-2). Let s be b(t). Let v be 1*(-2 - -2)*-1. Solve s*p - p + 8 = v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19 and 143604?\nAnswer: 2728476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**4 + 2*n**4 - 3*n**4 + (n**3 - n**3 + 2*n**3)*(3*n + 4*n - 5*n) - 4*n**4 + 4*n**4 + n**4 + n**4 - 10*n**4 + n**4.\nAnswer: -5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*g = 2*c - 62, 0 = 5*c + 4*g - 113. Let r be (-4 + 2)\/(1\/(-2)). Suppose -s - r = -29. Calculate the greatest common divisor of c and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -4. Let v be 8\/36 + 16\/g. What is the units digit of v*(-2 - (-7)\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -1) + (1 + 4 - 9) + -2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 3, 5, -37 in increasing order.\nAnswer: -37, -4, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 444877, 444719, 444561, 444403, 444245, 444087?\n\"Answer: -158*y + 445035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53094 + 77725. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106 + 40 + -182 + 118.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 9*v**2. Give g(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*l + 46 = -8*l, l = -3*v + 170. Suppose 0 = -10*g + 12*g - d - 29, -4*g + v = -4*d. Solve 0 = 5*u + n + 25, u = 4*u + 2*n + g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2406075309 - -34459810517141\/14322. Let a = 19\/651 + x. Calculate the common denominator of a and -19\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -7*u**2 + 6*u. Let f(y) = 6*y**2 - 5*y. Let a(q) = 6*f(q) + 5*r(q). Let h(s) = 24*s + 6. Determine a(h(x)).\nAnswer: 576*x**2 + 288*x + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 410*w**2 - 5*w - 12. Let n be q(7). Suppose 2*x = 3*o + 4*x - n, -5*x + 13351 = 2*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2. Let d(k) be the third derivative of 0 + 0*k - 20*k**2 + 1\/3*k**4 + 0*k**3. What is d(j(g))?\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or -216?\nAnswer: -216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4012 or -15834?\nAnswer: 4012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 17*g - 12. Let o(z) = -9*z + 5. Let t(y) = 4*l(y) + 9*o(y). Let i(p) = -3*p**2. Give t(i(k)).\nAnswer: 39*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1148 and 44526?\nAnswer: 623364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1224637 divided by -6.\nAnswer: 1224637\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3458 + -3457.99997817. Round t to 6 decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 613750 and 20000.\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -408270 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -110 - 1?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (-11 + 27 + -26).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 0.1. Let a = h - -0.2. Let l = -2 - a. Is l bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8493 by 1.\nAnswer: 8493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 490, 1872, 4164, 7372, 11502, 16560?\n\"Answer: a**3 + 449*a**2 + 28*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 422 divide 82452245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23229, 23245, 23293, 23373, 23485?\nAnswer: 23629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -7. Let q = c + 10. Suppose b - q*b - 4*a = 10, 19 = 5*b - a. Solve -n + b*n + 4 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 887279?\nAnswer: 347, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 9347.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (67\/((-5427)\/(-702)))\/((-18)\/81).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109*w**3 + 110*w.\nAnswer: 654*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 3*j**2 + j + 2. Let a be t(2). Let z = 37904 + -37914. Put a, -1, z in increasing order.\nAnswer: z, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23543 = 29*m - 42*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 2*a - 2968, 2*q = -0*a + 4*a + 1976. Let g be 2\/(-9) - q\/(-81). Suppose -2*j - j = g. Let u(m) = -m**2 - 5*m + 2. Determine u(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 10*d**3 - 3*d)*(-2*d + 2*d + 3*d) + (-2*d**3 + 2*d - 2*d)*(2*d - 3*d + 0*d) - 1018*d + 1018*d + 16*d**4.\nAnswer: 48*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*p + 3. Suppose 4*u - 3*u - 17 = -3*j, -2*u + p*j = -7. What is the remainder when (4 - 0) + (12 - -6) is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b**2 - 9*b + 4. Let y(z) = -6*z**2 - 10*z + 5. Determine 4*a(g) - 3*y(g).\nAnswer: -2*g**2 - 6*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -639 + 634. Let m = -16.08 + 16. Which is the smallest value? (a) 1\/11 (b) m (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12 + (-6)\/(-14) + 240\/(-70). What is the nearest to 1 in -3\/5, f, 1\/3, 0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -88188 or -88191?\nAnswer: -88191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 222334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -1998208, -2\/9 in descending order.\nAnswer: -2\/9, -2\/3, -1998208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26021 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: Collect the terms in 3432 - 9*r + 8872 - 19*r.\nAnswer: -28*r + 12304","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3378\/73 greater than -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**2 + 3*q**2 - 4*q**2 + (-1 + 4*q + 6 - 5*q)*(-3 - 2*q + 1 + 0*q).\nAnswer: 5*q**2 - 8*q - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4 + 17 + 5*g - 4*g + 12*g - 2*g**2 - 4*g. Give h(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 180, 1432, 4840, 11484, 22444?\n\"Answer: 180*x**3 - 2*x**2 - 2*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222 = -5*x - 12. Calculate the remainder when 191 is divided by x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 12. Let b = u + -4. Suppose -5*m = 2*p - b - 58, -2 = m. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.189258 and 3.\nAnswer: 3.189258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g**2 - 9*g - 3. Let s be (21\/63)\/(8\/24). Let o(w) = w**2 - w - 1. What is s*t(i) - 5*o(i)?\nAnswer: -i**2 - 4*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5894123 is divided by 54074?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 246\/19, 0.3, -0.5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -118 - 60*n + 27*n**2 - 70*n + 234*n - 74*n - 65*n. Let b be f(-3). Sort -2, 5, b, -5.\nAnswer: -5, -2, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35711*c**3 - 1 - 2848*c**3 + 1 + 0.\nAnswer: 32863*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (3 - (7 - 0))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -367 - -369. Let m = 102 - 409\/4. What is the nearest to m in u, 1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-262)\/66 + 4)\/((-2)\/(-6))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22620 is divided by 3065.\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.9 + -1.4. Let d = v - 1.5. Let j = 4 + -4.4. Sort d, j, -5 in ascending order.\nAnswer: -5, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -4*l - 2, -2 - 23 = 5*b. Solve -2*d + 3*o + l = 1, 3*o = -4*d + 29 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3323.1 + 3322. What is the smallest value in 2\/19, t, -1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57\/(-171))\/(2*(-2)\/48).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 1105 = 9*c. Let d = 224 - c. Calculate the lowest common multiple of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42886 and 164.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**5\/6 - 25*c**4\/6 + 23*c**3\/6 + 25*c**2\/6 - 4*c = 0.\nAnswer: -1, 0, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 51 + 414454155?\nAnswer: 414454250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2 = 1. Let t(u) = 16*u**2 + u. Let i be t(a). Let n = 18 - i. Solve -n*z - z = 5*y - 33, 7 = y + z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3942809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 10*o**2 + o + 12. Let n be l(-10). Let c(y) = 3*y - 1. Let w be c(5). Solve -4*m = w - n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7493570 divided by -10?\nAnswer: -749357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 4. Let g be n(7). Let x = 233 + -132. Suppose -5*f + 106 = x. What is the greatest common factor of f and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1\/3, 0.500547, -47, 0?\nAnswer: 0.500547","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 325768 <= 0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 118838*n + 118838*n + n**4 - 59*n**3 as t*n**2 + o*n + g*n**3 + u + k*n**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(3 + 3 - 5). Solve -10 = -z*b + b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1390322044 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39831 - 38916. Are 15 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + u. Let r be v(2). Suppose -r = -2*i + 14. Calculate the remainder when 38 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i - 17*i - 730 = 0. Let g be i\/(-65) + (2\/2 - 4). Do g and 4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(10\/3)*m**(-4\/3))\/(m*m**(-4\/3)\/m*m\/(m\/(m*m**(-6\/7)))) assuming m is positive.\nAnswer: m**(67\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 11) to base 13\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 618528 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (50*j**2 + 40*j**2 + 9*j**2)*(6 - 76 - 25)*(-2 + 0 + 1 + (-3 + 3 - 2)*(-1 - 1 + 0) + 2 - 3 + 0 + 0 + 5 - 3) in the form d*j**2 + a*j + w and give d.\nAnswer: -37620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 18, 37, 54, 63, 58, 33?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27976 and 10261576.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/9*f**2 + 0 + 2\/3*f**4 - 2\/9*f**3 + 0*f.\nAnswer: 2*f**2*(f - 1)*(3*f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114714 (base 11) to base 6.\nAnswer: 3522010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -60*u**3 - 2*u**2 - 5*u - 4. Let h be y(-4). Calculate the common denominator of 43 and 2\/11 - h\/(-264).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-2\/7)*i\/i**(2\/5)*i**(-2\/5)*i*i\/(i**3\/i) assuming i is positive.\nAnswer: i**(32\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/1)\/(-2) + 13536\/(-47). Which is smaller: 8 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1863 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0182483 rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 127, -33, -299, -671?\n\"Answer: -53*c**2 - c + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 343432014 (base 5) to base 15\nAnswer: 20808e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {g: 2, e: 2, w: 1, t: 4, z: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1640\/(-984))\/((-15)\/216).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-17))**(-1\/16)\/(j**6*j**(8\/3)) assuming j is positive.\nAnswer: j**(-365\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 7*v + 18. Suppose -5 = -5*i, v = k + 2*i - 5*i. Which is the nearest to -1\/4? (a) k (b) -0.1 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 3*n = -12, 4*h + n = -n - 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 22015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -3*x - 12. Suppose -z = 0, x*d + 3*z = -4 + 10. Suppose -d*s + 21 = s. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*z - 2510 - 5481 = -94*z + 12877 for z.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 11, -2908, 3, 5 in increasing order.\nAnswer: -2908, 3, 4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - h. Let x(o) = -2*o**3 - 2 + 1 - 2*o - 2*o**2 - 2. Let y(n) = -m(n) - x(n). Determine y(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*(o**13\/o)\/o)**(-49))**(-43))**(5\/2) assuming o is positive.\nAnswer: o**63210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 6:54 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 25\/4 of a day?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/sqrt(4) + sqrt(50) - sqrt(50))**2 + -4 + -6*(sqrt(10) - (sqrt(10)*2 + sqrt(10) + sqrt(10)))\/sqrt(5).\nAnswer: 18*sqrt(2) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -1. Let l(m) = 4*m - 1. Let q be ((-2)\/(-4))\/((-10)\/20). Determine q*l(z) + 2*t(z).\nAnswer: -4*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/44*(-37 + 59)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478586 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/82908 and 77\/12.\nAnswer: 82908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**3 - 54*o**2 + 288*o - 384 = 0?\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -3a5?\nAnswer: 3a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 971835114*v + 224072702 wrt v.\nAnswer: 971835114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 8. Let s be 3 + -1 - 13\/5. Is s less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 49*u - 7. Let q be n(30). Let s = -561 + q. Sort -5, s, 120 in descending order.\nAnswer: 120, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1039850, -1039899, -1039946, -1039991, -1040034, -1040075?\n\"Answer: q**2 - 52*q - 1039799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*a = -30. Suppose -q - q = -a. Let t = 0 + -0.1. Sort q, 4, t in descending order.\nAnswer: 4, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5441, -5691, -6115, -6707, -7461, -8371, -9431, -10635?\nAnswer: -11977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000383275 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4834 + 92*w**2 + 4834 + w**2 - 2*w**2 + 2*w**2 + 2*w**2 - 2 + 2 + 0*w**2 + 3*w**2 - 2*w**2 + (-5*w + 2*w + w)*(-2*w - w + 4*w) + 0*w**2 + 2*w**2 - w**2.\nAnswer: 95*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30588 is divided by 108?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1459\/1694 + -1\/242. Find l such that -2\/7*l**3 + 10\/7*l + 2\/7*l**4 - 4\/7 - n*l**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtdw when four letters picked without replacement from {x: 4, d: 3, w: 2, t: 2, k: 2}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 7) + (-9 - 2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -568956.000048 + 568951. Let a = 5 + u. What is a rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**5\/4 - 5*m**4\/4 - 5*m**3 + 20*m**2 + 5*m - 3. Let l(p) = 0. What is p?\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(-2*sqrt(720)) + 2*(sqrt(432) + (sqrt(432) - sqrt(432)*3)))**2.\nAnswer: 332929\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**3)\/(w*w**(-14\/5)))\/(w**20\/(((w**(1\/14)*w*w*w)\/w)\/w)) assuming w is positive.\nAnswer: w**(-919\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 - (1 + -20) - -10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7072 - -0.1.\nAnswer: -7071.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 9*k**2 - 7*k - 40. List the prime factors of s(-9).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/43, -1, 5, 2, -427, -5 in decreasing order.\nAnswer: 5, 2, -8\/43, -1, -5, -427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + u + u)*(-6*u + 0*u - 6*u)*(11 - 7 + 6).\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 12\/25 of a minute?\nAnswer: 28800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - -3*6*sqrt(156))\/(sqrt(768) - sqrt(768)*-6)*-4 + 5)**2.\nAnswer: -95*sqrt(13)\/7 + 9593\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*j + 122 = 0. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d**3 + 8*d**2 - 8*d**2)*(-2*d**2 - 3*d**2 + 8*d**2).\nAnswer: -18*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*s + 54. Let d(g) = -g**3 - 5*g**2 + 4*g + 20. What is the units digit of d(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - v + 1, 0 = 5*u + 3*v + 4 - 17. Let g = -25204 - -25203.5. What is the smallest value in g, u, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -318 + 322. Suppose 5*i = c*m - 1448, 9*m + i - 1448 = 5*m. What are the prime factors of m?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 5*n - 0*n. Let a = -7 - n. Solve -4*s - 4*r - 18 = -s, 0 = -a*s + r - 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35522 - -35754. Calculate the least common multiple of 319 and h.\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1682, 3693, 5742, 7823, 9930?\nAnswer: 12057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8 + 28 - 9 - 4*q + 3*q wrt q?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4192.709t to milligrams.\nAnswer: 4192709000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 7. Let o be m\/1 - -3 - -3. Let a be (-2)\/(-3 - (-1 + -1)). Solve -5*d - 2*z = -o, -z = d + a*z - 16 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/23290 and -21\/34.\nAnswer: 23290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2967\/2*(-12)\/9. Let i be 2\/10 - k\/10. Suppose -4*y = 2*d - 102, 14 = -4*d - 3*y + i. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 9, -0.5, 231, -0.2, 5, -5\/3?\nAnswer: 231","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -9*h + 13. Let b(r) = 19*r - 27. Let g be (-8)\/28 + 372\/28. Let p(k) = g*a(k) + 6*b(k). Find the first derivative of p(x) wrt x.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.02 (b) -6 (c) -2 (d) 9 (e) 4 (f) -11 (g) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*q + 102 = 3. Solve c + 0*c = -3*j + 12, -4*j + q = -3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-39) - 115876\/18408.\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.63664 weeks in minutes?\nAnswer: 177777.3312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 5\/((-15)\/(-6)). Let b(t) = -t**2 - 35*t + 5400. Let m be b(-93). Solve -m*a - n*a - 40 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.15 + -0.65. Let j = -4.88985 - 0.11015. Sort b, j, -1, 0 in ascending order.\nAnswer: j, -1, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/7 of a week in minutes?\nAnswer: 18720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3240 - -1112?\nAnswer: -2124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = -l. Solve 5*n - 13 + 38 = l for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 40*p - 7. Let o(x) = -20*x + 3. What is -9*o(f) - 4*s(f)?\nAnswer: 20*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.3 + 2.7. What is the closest to 2\/5 in k, 1\/3, 1\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 18360 = -4*v. List the prime factors of v.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 + 2*x + 478. Determine m(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -r + 2. Suppose -d + r = -2. Suppose -d*y + y = -78. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 - -78. Suppose -a*k + 20*k + 1125 = 0. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -8*z**3 + 3*z**2 + 318*z + 2. Let a(j) = 14*j**3 - 5*j**2 - 637*j - 4. Give 3*a(f) + 5*t(f).\nAnswer: 2*f**3 - 321*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -148196, -148197, -148198, -148199, -148200?\n\"Answer: -k - 148195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -18 - ((5 - 2) + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*b - 12. Let f be 4\/(-2 - (-12)\/b). What is the units digit of (-3)\/f - (-993)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2. Let q(l) be the second derivative of -l**4\/6 - 41*l**3\/6 + 231*l. Determine m(q(t)).\nAnswer: 4*t**4 + 164*t**3 + 1681*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 2 + (4 - 4 + 3)*(5 - 2 - 2))*(-3*m + 2*m - m)*(-6 + 3 - 4).\nAnswer: 98*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1015*h + h**3 + 7 - 911*h + 957*h + 987*h - 1.\nAnswer: h**3 + 2048*h + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 762 - 114. Calculate the greatest common factor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 21*h - 119. Let z be f(6). Suppose 2*w = n + 13, z*n + 5 = 4*w + 12*n. Let l(r) = r - 6. Let p(o) = -3*o + 13. Give w*l(v) + 2*p(v).\nAnswer: -v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fj when two letters picked without replacement from njvfpffvvnvuv?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y - 519 + 162 = -y. Let m(b) = -b**2 + 21*b - 29. What is m(y)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r + 15. Let y be i(10). Let h(b) = b**3 + 6*b**2 + 7*b + 3. Give h(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 562128 = 2*f, 0 = f - 4*f + 2*q - 843211. Let g = -397069 - f. Round g to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146631973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5342963*x - 5838424?\nAnswer: -5342963","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.1 (c) 941 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-7)*399\/(-1254).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 348 + -230. What is the remainder when c is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t**3 + 26*t**2 + 18*t - 2. Let x(j) = -7*j**3 + 21*j**2 + 18*j - 2. Determine -3*d(y) + 2*x(y).\nAnswer: y**3 - 36*y**2 - 18*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-9)*(1 + -4). Let t(y) = -y**3 + 2*y**2 + 12*y - 13. Let q be t(4). Suppose 0 = -0*m + q*m - 9. Put c, m, -4 in descending order.\nAnswer: m, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -832 divided by -2.\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 17*u - 22*u - 5*m, 0 = u - 4*m - 32. Let z be (3 - 2) + (23 - 0). Solve -3*s + 13 = w, -u*s + z + 8 = 5*w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7710*q**4 - 93*q + 48 wrt q?\nAnswer: 92520*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.112042 rounded to 3 dps?\nAnswer: 0.112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 527313 and 822?\nAnswer: 1054626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 1. Let g = -48 + 52. Suppose 8 = 4*j + g*j. Which is greater: j or p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 e when two letters picked without replacement from {t: 2, e: 8, f: 3, o: 4}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 4. Suppose -5*b = -3 - m. Let f = b + 4. Calculate the smallest common multiple of f and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.948998 centimeters in millimeters?\nAnswer: 69.48998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -337 - -402. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p - 10 = 0. Calculate the least common multiple of 6 and p\/((-4 - -2)*1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -393.8 - -48.8. Let k = 340 + q. What is the closest to -1\/3 in k, -1\/2, -8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -1\/6, 2, 356, 91 in increasing order.\nAnswer: -15, -1\/6, 2, 91, 356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 9:39 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*t - 5*s + 3, 3 = -4*t - 3*s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1953 + -4?\nAnswer: -1957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f. Let x(d) = 603*d**2. What is x(c(k))?\nAnswer: 9648*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 + 1. Let y be j(-2). Solve -y = -0*b + 2*b - p, 3*p = 3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*g - 2473421 = 0, d = 5*g + 9841 + 484860. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 9*o**2 - 3*o - 14. Calculate the remainder when l(8) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 1, -11, 2\/3, 11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 19*m**2. Let d be h(1). Suppose 3*j = 4*k - 16 - 8, -4*k - 2*j = -4. Suppose -k*r + 2 = -d. Is r at most as big as 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(5*n + 3*n - 6*n) - 78*n + 209*n - 31*n.\nAnswer: 96*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7128 - -7943?\nAnswer: 13a70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*x = -445 + 46, -5*y - x = -2073. Calculate the highest common factor of 81 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-7)\/(14\/(-8))). Let a(r) be the first derivative of -r**3\/3 + 1. Let b be a(-1). Which is smaller: p or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 37*s**3 - 8*s**2 - 15*s. Let d(f) = 12*f**3 - 3*f**2 - 5*f. Give 8*d(x) - 3*w(x).\nAnswer: -15*x**3 + 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 57, 5, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y. Let v(j) = 1585*j**2. Give w(v(l)).\nAnswer: 4755*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 10*k. Let o(c) = 12*c. Give o(h(r)).\nAnswer: 120*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6479839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -50, 6\/115, 1\/3, -2\/11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0068399 to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 600\/100*(-3)\/2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 4*l + 16 = 0, -4*b + 2*l + 13 = 3*l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -147*j**4 - 12*j**2 + 2*j*z**2 + 63*z**2 - 17*z wrt j.\nAnswer: -588*j**3 - 24*j + 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3)\/h)**(13\/7)*(h*h*h**(-3)*h)**(-43) assuming h is positive.\nAnswer: h**(-52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 1665, 12 in descending order.\nAnswer: 1665, 12, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 17024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 10 + 2. Does 5 divide 34\/3 - 1\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c**3 - 2*c**2 - 1478*c + 4416. Give a(3).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26365 + 23333 = -605*l - 3*l - 2153*l for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/2))**(2\/31) assuming l is positive.\nAnswer: l**(-1\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 0*h**3 + 3 + 8\/45*h**6 + 4\/9*h**4 + 1\/63*h**7 + 19*h**2 + 26\/45*h**5 + 0*h. Determine o, given that c(o) = 0.\nAnswer: -4, -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 126333, 252660, 378987, 505314?\n\"Answer: 126327*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(320) + 0 + sqrt(320))**2 - 5*(sqrt(320) + 1).\nAnswer: 24*sqrt(5) + 1279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -582 + 827. Is x at most as big as 245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -10199, 0.5, 1\/5 in decreasing order.\nAnswer: 1, 0.5, 1\/5, -10199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -910, 108, 0, -45 in descending order.\nAnswer: 108, 0, -45, -910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4485*b**6 + 80*b**5 - 574196*b**2?\nAnswer: -538200*b**3 + 4800*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -25518528.1\nAnswer: -2551852.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a. Let h be 9\/(-18) + 10\/4. Let x(q) = -q**2 - 5*q - 2. Let j be x(-2). Let y(g) = -j*g**2 + 3*g**2 + 3*g**h. Calculate f(y(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*y + 1006 + 117 - 309 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 840258 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 507046699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.35545*1.97.\nAnswer: 0.7002365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - -19949412.\nAnswer: 19949412.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -163, -240?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -48, -1294, -3370, -6276?\n\"Answer: -415*z**2 - z + 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9558 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 36142067 - -3?\nAnswer: 3614206a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*r + 33*r - 5*h + 18706, 0 = 5*r + 4*h - 31181. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = g - 4. Let p be 14\/4 + 9\/g. Solve 0 + 1\/2*a - 1\/2*a**p = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 152950\nAnswer: 1\/30590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + m + 9 = 0, 0 = -4*q + m - 91 + 103. Solve 2*s + 6 = q*u, -u - 24 = s - 31 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s - 18*s**3 + 5*s**2 - 4*s**2 + 17*s**3 + s**2 + 4. Let p be z(3). Solve 5*c - 3 + 43 = -3*m, c + m = -p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13105674 and 612.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvgvggggvgv. Give prob of picking 4 g.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 161397813 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 1\/5, 47243, 0, 0.09, -0.1, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/9825827 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (35 - 31)*(-11256)\/672\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 15 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1004706074?\nAnswer: 2, 502353037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1275 + 1380 = -4*k - 3*k for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3702.57 - -3659. Let l = d + 45. Let i = l - 1.43139. What is i rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.04 - 39.96. Let g = -42 - a. Sort -4, 0.21, g.\nAnswer: -4, g, 0.21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*k + 6*k - 57, 3*k + 9 = 0. Solve 95 = -13*r + h for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4870365.\nAnswer: 3, 5, 19, 23, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 126414077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1 + sqrt(1377))*5 - sqrt(1377)).\nAnswer: -10 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2026 * 0.5.\nAnswer: 0.1013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**4\/12 + z**3\/6 + 1560*z. Let m(h) = -3*h + 11. What is m(u) + 2*n(u)?\nAnswer: 2*u**2 - u + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, -8\/3, -61.9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2849 = 148*d - 71*d for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*g = -0*g - 8, 0 = -3*o - 2*g - 2. Let f = -8 - -16. Let l = f + -12. Which is the nearest to o? (a) l (b) -0.4 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, u: 3, n: 3, x: 1, p: 2, s: 9}. What is prob of sequence pxs?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 158 + -33. Let k = -569 + c. Let p be 2\/(-11) + k\/(-22). What is the highest common divisor of 20 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-16 - -46) + -37.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(3*f - f + 0*f - 136 + 136 - 162*f + (-f + f - 2*f)*(-2 + 0 + 0) - 23 + 23 + f).\nAnswer: -310*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*b + 51 = 0, 3*b - 7*b - 131 = -5*m. Does 4 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 4*b, 8*u - 11*u = -4*b + 35. Suppose -5*l + d - 2 + 4 = 0, 4*l - 3*d + 5 = 0. What is the fourth biggest value in l, -40, -1, u?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -2*x - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zsjovzzvjqsj. Give prob of picking 1 v and 1 q.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 - 203*c**2 + 200*c**2 + 56 + 10*c**2 + 3*c**2 - 56.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2122973*r - 7565774 wrt r?\nAnswer: 2122973","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + 3*(sqrt(153) + 3 + sqrt(153)) + 6*((sqrt(153) - (2 + sqrt(153))) + 0))**2.\nAnswer: -144*sqrt(17) + 22036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -190, -373, -530, -649, -718, -725, -658?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/21, -1\/4, -152\/3 in ascending order.\nAnswer: -152\/3, -1\/4, 1\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4326 or -4334?\nAnswer: -4334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140331 is divided by 70127.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and 3.2895?\nAnswer: -0.13158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 80?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 724 > -0.09944?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 - 4*w + 2. Let v be o(2). Suppose -4*x + v*x + 20 = 0. Suppose 0 = 4*a - 279 - 41. Calculate the highest common factor of a and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-7\/5)*x)\/x)**(1\/9)\/(x**(-19)*x*x**(-5)*x*x) assuming x is positive.\nAnswer: x**(943\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (162\/(-567))\/(2\/(-28))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -2.6, 14, 0.4, -0.4?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**5 - 48*w**4 - 157*w**3 - 108*w**2 + 6. Let v(p) = -p**5 + p**3 + 6. Let o(i) = 2*f(i) - 2*v(i). Solve o(y) = 0.\nAnswer: -2, -1, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 - -434\/9. Let g = -7 - -2. Put g, -1, f in descending order.\nAnswer: f, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/8*(3 + -19 + 3 - -15).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13)\/(-13)*(-80)\/6*168\/(-70). What is the greatest common factor of 1952 and q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319895 is divided by 12303.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*z + 8, -3*z = -0*z + 4*n - 16. Let p(r) = 3*r + 103. List the prime factors of p(z).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2. Let c(v) = 20*v - 15. Let w(t) = -t + 1. Let r(q) = c(q) + 15*w(q). Let g(f) = 99*f. Let u(j) = 6*g(j) - 121*r(j). Determine u(m(d)).\nAnswer: -33*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3135 = -6*x. Calculate the remainder when x is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**3 - x**2 + x + 2. Let a be w(-1). Let d = 6 + a. What is the greatest common factor of 4 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 2. Suppose -3*r = 2*r - 2*u, 0 = p*u. Solve 0 = 2*d - r*d - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*b**3 + 48*b**3 - 194*b**3 + 63*b**3.\nAnswer: -21*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 13. What is the units digit of i(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 48584100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -8. Suppose b*x - 16 = -3*n, x = n + 4 - 1. Is ((-31)\/4)\/(n\/(-8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(7*1 + -1). Let d = 17426 + -17430. What is the closest to -9 in 6\/7, d, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**2\/2 + 17289*a\/2 + 43260 = 0 for a.\nAnswer: -5, 5768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-2))\/(1\/(-4)). Let o = 2 + u. Let r be (4\/(-2) - -16) + 0. Solve -4*q = j - o*j + r, 0 = 3*j - 5*q - 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/31? (a) 0.1 (b) -1984 (c) -0.5 (d) -3 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1 - -7) + -6)*1\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5*(1 + sqrt(80))*2 + 6*(1 + sqrt(80) + sqrt(80)) + 5 + 5)**2.\nAnswer: 5104*sqrt(5) + 39561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356 = -21*a - 661 + 557 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + 18\/6 - -1. Suppose 2*m + 5*q + 6531350 + 12448630 = s, 0 = q - 4. What is m rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 5*d - 12. Let t = -29 - -37. Let i be c(t). Solve y + 4 = -0*y + 5*o, 0 = 3*y + o + i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4647122083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65520 by -18.\nAnswer: -3640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 7:28 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s. Let n(j) = j**3 - 2*j**2 + 3*j. Suppose 0 = 9*l + 13 - 4. Determine l*n(z) - 3*p(z).\nAnswer: -z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -841*g + 841*g - 8, -4*g + 8 = 6*a for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.807 + 0.843. What is the third biggest value in -0.1, -1\/6, n?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*4\/16)\/(357\/(-1224))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 13*c**2 - 14*c - 177. Let p be l(-13). Solve -2*r + p*r - 5*m - 17 = 0, -m = -4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*x**3 + 8*x**3 + 8*x**3)*(-5 + 5 + 2*x).\nAnswer: -12*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14275 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 292144644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 784558599 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times -1609\nAnswer: 64.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-3)\/9*(-6)\/10?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -m**8\/1512 - 4*m**7\/945 - m**6\/108 - m**5\/135 - 3*m**2. Factor r(f).\nAnswer: -2*f**2*(f + 1)**2*(f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 9*l + 11*l = -30, 3*d + 3*d = -5*l + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 432*u + 47556 = 74*u - 963*u for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 12, 22, 36, 54, 76, 102?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + (sqrt(70)*3)\/sqrt(10)).\nAnswer: -3*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -9*q - 11. Let u be 0\/(2\/(5 + -4)). Let r be 2 + -3 + (-1 - u). Let h(p) = 2*p + 2. Let f(j) = r*o(j) - 11*h(j). Calculate f(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 4)*(4*i - i - 16*i).\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 + 28*(-9)\/(-48))\/(3\/(-8)). Suppose 12 = 3*p + 3*u, -p + u = -6*p + 4. Let g = -5 - p. Sort -3, w, g, 0 in descending order.\nAnswer: w, 0, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7707*n - 6852*n - 607486 - 193259 = 0 for n.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 8123*w + 21208*w - 4.\nAnswer: 29331*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56471 is divided by 11262?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/3 - (-1 + 6). Let v(m) = 2*m**2 - 6*m - 8. Let w be v(6). Let d = -29 + w. Sort a, d, 3 in ascending order.\nAnswer: a, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(152)\/(1*sqrt(8)) - sqrt(171)*-4) + 1.\nAnswer: 1 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203304\/42 + 7 + 128\/(-28) + 4.\nAnswer: 37, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/18)\/f**15*(f\/(f\/(f*f**(-12\/5))*f*f)*f)**(-2\/25) assuming f is positive.\nAnswer: f**(-33443\/2250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 69507302 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1 + (-2)\/(-8))\/((-29)\/29) and 47\/340.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xpxprxprrppzxp. Give prob of picking 2 p and 1 x.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16203594858 minus 4?\nAnswer: 16203594854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13\/(4\/(12\/3)). Let n = 4 - o. Let b(a) = -2*a - 3. Does 10 divide b(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5333183 millennia in decades?\nAnswer: 53.33183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qi when two letters picked without replacement from {q: 1, p: 3, b: 3, g: 1, i: 3, x: 2}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 142571427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g**4 - 4*g**4 - 3*g**4 + (-1 + 1 - 2*g**2)*(-64*g - 2 - 3*g**2 + 64*g) as l*g**4 + d*g**3 + j*g**2 + a*g + m and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p - 5076 = -115*p. Which is the second smallest value? (a) -0.4 (b) 1\/10 (c) -4 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1998 - 6?\nAnswer: -19a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13739.3 rounded to the nearest 100?\nAnswer: -13700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 15*q - 4. Suppose q*h - 5 = -h. Suppose -59 = -2*n + 21. What is the greatest common divisor of h and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7520 - 7418. Solve -27*r - x = 7*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**5\/4 - 5*v**4\/2 - 5*v**3\/6 + 15*v**2 - 2997*v. Factor p(m).\nAnswer: 5*(m - 6)*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/8 of a day?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w - 78705 = -27522. Let q = 13364 - w. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (2*1 - (-120)\/(-20)). Let f be 103 + 5 + (u - -2). What is the greatest common divisor of 64 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 1 - 1. Let k(u) = -571*u - 1. Let w(l) = -14848*l - 26. Let b(j) = 104*k(j) - 4*w(j). Give m(b(q)).\nAnswer: 64*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*q**3 - 87*q**3 - q**2 - 13 - q**3 wrt q?\nAnswer: -570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 34400, 67257, 100140, 133061, 166032, 199065, 232172?\n\"Answer: 2*s**3 + s**2 + 32840*s + 1557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2645058527 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3 - 2 + 28*r**2.\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 139 = 62 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 1 + -8 + 11 + (-63 - -55)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 445 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -468 + 7531. Suppose r = -14*s + 12*s + b, -3*r + 21179 = -4*s. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 5026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(637) - (sqrt(637)*2 + 4)).\nAnswer: -7*sqrt(13) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -3*a + 55, -4*s - 19*s - 3*a + 99 = -4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 8) + (-42 - -45)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-198)\/16*(-3)\/18 and 39\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75855 by 75855.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1231019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18103)\/(-1684) - ((-3)\/(-6))\/((-5)\/(-70)).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*q = -2765311 + 435873. What are the prime factors of q?\nAnswer: 2, 19, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18212527 times -0.4?\nAnswer: 7285010.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, -2\/5, -1, -0.2, -13, 6, -5\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -61516204*q + 69203971.\nAnswer: -61516204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36881 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 - 55625*v - 8284920.\nAnswer: 5*(v - 11272)*(v + 147)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 4416?\nAnswer: 4416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 1. Suppose -b = -9 + 7. Let o(w) = 8*w - 7*w - 2*w**b + 3*w**2 - 6. Let s(q) = -3*f(q) - o(q). Calculate s(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1313, 1195, 989, 689, 289?\n\"Answer: -k**3 - 38*k**2 + 3*k + 1349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 24. Let a = -14 + 28. What is the remainder when (-498)\/(-9) + v\/18 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -144 + 145. Calculate the remainder when (129\/(-6))\/((1\/(-4))\/j) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 917\/(-21) + (-7)\/3\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12671, -12654, -12625, -12578, -12507?\n\"Answer: z**3 + 10*z - 12682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -919*j - 7*j**3 + 459*j + 460*j.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5c4c02 + -c?\nAnswer: -5c4c11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 801? (a) -1\/7 (b) 0.05 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 1\/4*b**4 + 0*b + 2\/5*b**5 + 35 + b**3 - 3\/2*b**2. What is the third derivative of l(g) wrt g?\nAnswer: 48*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*s = -333*s - 3501 + 19909 for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27 and -37\/222122?\nAnswer: 222122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 36a (base 14) to base 8\nAnswer: 1252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10891 is divided by 1812?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 406, 822, 1250, 1690, 2142, 2606, 3082?\nAnswer: 3570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18.00419 + -0.12619. Let l = y + 0.422. Round l to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -55\/3293314 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 5*i + 12, -2524409 = -3*i - 3*a - 2524445 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 4393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18480 = -92*n + 169*n. What is the highest common divisor of 510 and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*u - 19*u - 3*u.\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 104 = -z, 0*y + 6 = -3*y. What is the greatest common factor of 25 and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 4. Suppose 3*a + 6 = x - 50, 2*x = k*a + 103. Suppose j = 5*p - 9, -j - j = 3*p - x. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/16)\/(1\/2). Which is the nearest to v? (a) 1 (b) 2\/3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 156, 996, 3252, 7632, 14844, 25596, 40596?\n\"Answer: 118*c**3 + 14*c + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) + -2*sqrt(108)\/sqrt(3) + sqrt(36))\/(-1*sqrt(108)) + (sqrt(147)*-1 + -1 + sqrt(6)\/sqrt(2))*5*3)**2.\nAnswer: 2700*sqrt(3) + 24525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14451 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 4*f**5\/5 + 11*f**3\/3 - 11. What is the third derivative of h(t) wrt t?\nAnswer: 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -c**7\/105 + c**6\/15 - c**5\/6 + c**4\/6 - 3*c**2 - 5. Let d(m) be the second derivative of v(m). Find i, given that d(i) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 317 + 857. What is the greatest common divisor of n and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 take away -4.89928?\nAnswer: -3.10072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19433 = -5*l - r - r, r + 7773 = -2*l. Let y = -2578 - l. What are the prime factors of y?\nAnswer: 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(-68))\/1*4\/(-2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of 7*n**5\/60 + n**3 - 2*n**2. Let t(q) = -13*q**2 - 11. Let v(l) = -11*g(l) - 6*t(l). Let b(f) = -f + f + 2*f. What is b(v(m))?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8917\/5 + 1781. What is the nearest to -1 in 1, 3, u, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13625?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y. Let b(l) = 354*l + 359*l + 363*l + 4 + 1 - 1069*l. Determine -b(h) - 5*i(h).\nAnswer: -2*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 32685859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 22 = 2*x, -3*k + 7*k = 2*x - 24. Let l = 18 - -2. Calculate the least common multiple of l and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*j + 302*j + 3367 = 0 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-126)\/(-315) - (0 - 6\/(-93)) and 1\/45?\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32678 - -328985. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -9344*p + 46930. Determine b(5).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -78514 (base 11) to base 12\nAnswer: -559b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 3*c + c)*(351*c + 35*c + 29*c + 19*c).\nAnswer: 2604*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 224077.2 millimeters in kilometers?\nAnswer: 0.2240772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 287 divide 176893024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 divided by 5?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1216021555?\nAnswer: 5, 7, 191, 181903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(52)\/sqrt(4) + -4 + sqrt(130)\/(sqrt(30)\/sqrt(3)))**2 + 2*sqrt(13)*-1 + -4)*-6.\nAnswer: -216*sqrt(13) + 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 21\/42*20\/(-2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - 3*m)*(-m**2 + m**2 - 3*m**2) + (2*m**2 - m**2 + m**2)*(-2*m + 4*m + 0*m) + 0*m**3 + 0*m**3 + m**3.\nAnswer: 14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p**2 - 6*p**2 + 2*p**3 + 18*p**2.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.091 - 0.034. Let u = 0.0529 - t. Round u to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2 - 1. Let m be c(1). Let f be (4\/10)\/((-3)\/15). Is m at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p**2 - 4*p**2 + 4*p**2)*(-192*p + 193*p + 0 - 5)*(-15 + 8 - 9) as w*p**3 + c + g*p + m*p**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56 (base 9) to base 14.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 172511 to the power of 1\/2, to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12b36 (base 14) to base 9.\nAnswer: -70221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 * 9.07.\nAnswer: -0.7256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 636*p**3 - 1740*p**3 - 1061*p**3.\nAnswer: -2165*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*u**2 - 12*u**3 + 12*u**3 + 4*u**5 wrt u.\nAnswer: 240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 21. Suppose y - 7*u = -3*u, -2*y + 3*u + 5 = 0. Calculate the remainder when f is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1759372 is divided by 1332.\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -97161?\nAnswer: 582966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -108611*m - 108606. Determine s(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwgggggwggwgggwg. Give prob of picking 1 w and 1 g.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, j: 4}. Give prob of picking 1 e and 1 j.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 25*k + 111. Let m be v(38). Suppose -m - 8444 = -5*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*d - 2*d - 5*d + 10*d.\nAnswer: -19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)*-2*-6)\/(sqrt(275)*2).\nAnswer: 6*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 186 - 123. Suppose -g = -5*c - 8. Suppose 0 = 2*m - 73 + c. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47*40\/4*18*11\/1980.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 42*t**2 + 41*t - 377. Let g be s(8). Does 2639 = g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -14*a**2 + a - 6. Let x(w) = 13*w**2 - w + 5. Determine -5*d(v) - 6*x(v).\nAnswer: -8*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/3)\/m*m\/m**(-4))\/(m**(-2)*m)**(40\/3))\/((m*m**8*m**(-1\/5))\/(m**(-2\/7))**(-31)) assuming m is positive.\nAnswer: m**(597\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -2. Let t be (c\/6)\/((-2)\/18). Let n be 8\/t - 4\/(-12). Solve 4*d = -n*x - 1, -2 = -2*x - 3*d - 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -134 + 140. Let s(u) = -4*u - 3 - 2 + 6 + u**2. Determine s(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 5 = -3*t. Let a be t\/(-10) - (-976)\/10. Let q be 308\/(-55)*10\/(-4). Calculate the greatest common factor of q and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 15) to base 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 4 (c) -14.4 (d) -0.4 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/340 and 79\/272?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 397159 - 397159.0160127. Let b = d + 0.016. What is b rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*t - 6*c + 40, 4*c + 104 = -4*t. Let w = 3 + t. Let v = w - -40. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -f**3\/3 + f**2\/2 + f - 5. Let t(m) = m**2 - 2*m + 1. Determine -2*i(w) - t(w).\nAnswer: w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -7*n + 702. Calculate the remainder when 17 is divided by (-2)\/(-8) - n\/(-24).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of t**6\/180 + 14*t**3\/3 - t**2\/2 - 218. Let p(l) be the third derivative of j(l). Let k(u) = -284*u**2. What is k(p(a))?\nAnswer: -1136*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -532 - 170 = -3*p. Suppose -2*l = -5*r - 52, 5*r + 35 = l + 9. Calculate the greatest common divisor of l and p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/2 + 657*l\/2 - 1605.\nAnswer: -3*(l - 214)*(l - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 13*i + 52. Let a be 15\/(-30)*i\/8. Which is greater: -115 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14481328218209747\/6947399520 + 18463422\/4824583. Let b = h + -2084428. Let z = -1\/288 + b. Find the common denominator of z and 31\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 3*b - 22368 + 22395 = 5*t, 0 = -3*b + 5*t - 24 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nfknfnkkkffnkkmnf. Give prob of sequence ff.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3732 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 8808*w - 44063. Let t be n(5). Find y, given that -1\/4*y**t + 5*y + 21\/4 = 0.\nAnswer: -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 235 divide 21819862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - q = -15. Let t(u) = -5*u**3 - 3*u**2 + u - 4. Let y(z) = -10*z**3 - z**2 + 3*z**2 + 14*z**3 + 3. What is q*y(h) + 2*t(h)?\nAnswer: 2*h**3 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 134?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1733 and 0.14?\nAnswer: 1733.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 2. Let t(i) = i**3 + i**v - i - 4 - 4*i + i**2. Let y be t(-3). What is the smallest value in 1, y, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 395889502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 387289 = 15*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4*sqrt(170)*1)\/(4*(sqrt(10) + sqrt(250))).\nAnswer: -1 - sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294711493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 2:13 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/2)\/(1 - -1). Suppose 0 = -3*u + 4*d + d + 219, 5*u - 2*d - 346 = 0. Let i be -2 - ((-264)\/u - -2). Which is smaller: i or s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4640185 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 134735 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(102)*-1)\/(-2*sqrt(6)*1 + sqrt(6)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38.66 - 43.66. What is the fourth biggest value in 1\/8, 5, m, 23?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 421 and 423 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89751654 is divided by 487?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 11:24 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*q - h, -66*q - h = -67*q + 8. Put 1, -2, -1, q in decreasing order.\nAnswer: q, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8596 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 = -4*z + 2*q, 3*z - 5*q + 52 + 91 = 0. What is the tens digit of -2 - (-9)\/((-9)\/z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -31958, -31944, -31934, -31928?\n\"Answer: -2*x**2 + 20*x - 31976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 618608000 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -150428200 divided by -24440?\nAnswer: 6155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4176512\/5 - 831366. Let n = 3911 - h. Let k = n - -25. What is the nearest to 1\/4 in -0.1, k, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173908465 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 17677?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - 58.8?\nAnswer: -58.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 473037 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.3 (b) 2\/15 (c) 4 (d) 5 (e) -11\/6 (f) -3 (g) 15\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5 + 4*(sqrt(304) + (-1 + sqrt(304) + sqrt(304))*3 + sqrt(304))*4 + 0)**2 + 4.\nAnswer: -44032*sqrt(19) + 4982589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u*u\/((u\/(u\/((u*u*u**(2\/99))\/u)))\/u)*u)\/u*u*u*((u**(-6\/13)*u)\/u)\/u)\/(u\/(((u**(-19)\/u*u)\/u)\/u*u))**(-31))**(-1\/34) assuming u is positive.\nAnswer: u**(-842365\/43758)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2))**(-1)\/(g**(2\/3))**(3\/8)*((g*g*g*g\/(((g\/g**(-2\/7))\/g)\/g))\/g**(-1))\/(g**(-2\/7))**2 assuming g is positive.\nAnswer: g**(183\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4067925 divided by 15\nAnswer: 271195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s**2 + 2*s - 1. Let w = 10 + -12. Let x(z) = -z**2 + z. Calculate w*x(t) + l(t).\nAnswer: -2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (576\/32)\/(-36)*-48?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (3 - 6) - (-6 - (-1 - 7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10202022112 - 221001?\nAnswer: -10210020120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205 greater than 1492?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 531 - 461 = -5*u, -4*v = 2*u + 8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(80) + 1 - ((sqrt(50)\/sqrt(2))\/sqrt(5) + sqrt(5) - sqrt(5)))**2 + -1*(sqrt(500) + -3*sqrt(500))).\nAnswer: -130*sqrt(5) - 230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*i - 14 - 15, 2*j + 2*i - 34 = 0. Let n = 28 - j. What is the highest common divisor of 60 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -6*v. Let t(u) = 7*u + 1. Let z(m) = -5*c(m) - 4*t(m). Let w(s) = 6*s - 11. Determine 4*w(k) - 11*z(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s**3 - 23*s**3 + 14*s + 12*s**3 + 18*s.\nAnswer: -s**3 + 32*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155 a factor of 92425161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 42 = c. Suppose 4*i - 2 = -2*t, -i = i - 2*t - 16. Solve -2*d + 3*z = 1 + c, -i*d - 27 = -3*z for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6273 (base 12) to base 14.\nAnswer: -3cb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37611 or -618?\nAnswer: -618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21784933 is divided by 486.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-74)\/(-4))\/(-22 - -21))\/((-2)\/4). Solve -4*j - 4*n = -6*j + 28, -w = -3*j + 5*n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11*(-1 - -3))\/2. Let j(r) = 54*r + 6. Let l be j(v). Suppose l = u - 2*u. What is u rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 7*p + 8. Let v be i(-7). Suppose -3*w - 5*w + 40 = 0. Solve -3*f + g - v = 0, w*f + 4 = -g - 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 10 = -5*y, 5*z - 1 = 3*z - 3*y. Suppose -z*c - 5 = 0, -4*x - x = -2*c - 102. Solve k - 5*k = -x for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-3\/8))\/((f*f**3\/f)\/f)*f\/f**(4\/3)*f\/(f*f*f**(-1\/11))*f)**(3\/20))**(-23) assuming f is positive.\nAnswer: f**(5267\/1760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -825 + 825. Solve -2*c = 5*v + 14 - 1, -3*c + 3 = r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75\/5*-7*3\/(7\/35*-15)\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**4\/8 + 634865*k**3\/4 + 1269733*k**2\/8 - 1269731*k\/4 = 0. Calculate k.\nAnswer: -2, 0, 1, 1269731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p. Let n(w) = -7*w + 1. Let q(h) = 9*f(h) + 4*n(h). Calculate the remainder when 62 is divided by q(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -2.8. What is the third smallest value in v, -2\/3, -0.06?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 86 - 2*v + 20 + v + 69.\nAnswer: -v + 160","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}