diff --git "a/data/dm_maths/full_data/10383_11255.jsonl" "b/data/dm_maths/full_data/10383_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10383_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the third derivative of 2*k*t**3 - 1603*k*t**2 + 11*k*t - 11*k + 381106675*t**3 - 276*t wrt t?\nAnswer: 12*k + 2286640050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/15*((-904)\/(-112) + -7). Factor -m*d + 0 + 3\/7*d**2.\nAnswer: 3*d*(d - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21739?\nAnswer: 21739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*x - 2*x - 3*x)*(6*x**3 - 3*x**3 - 2*x**3) + 9*x**4 - 3*x**4 - x**4.\nAnswer: 3*x**4 - x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 718*a**3 + 776*a**3 - 1483*a**3.\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 7:38 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5*j - 1. Give r(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159579, -157644, -154419, -149904, -144099, -137004, -128619?\nAnswer: -118944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 294 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 v(d) = -d**3 - 5*d**2 + 5. Let o be v(-5). Let m = -3 + o. What is the third derivative of x**3 + 3*x**4 - x**3 - m*x**2 wrt x?\nAnswer: 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -94\/13*o + 1104\/13 + 2\/13*o**2.\nAnswer: 2*(o - 24)*(o - 23)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 11*c**2 - 31*c - 12. What are the prime factors of y(-5)?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 8, b: 5, f: 1, s: 2}. Give prob of picking 1 b, 1 f, and 1 r.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 4:19 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -6 - 5 - -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/4, -3, -2322, 1 in increasing order.\nAnswer: -2322, -3, -7\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7965*m + 18*m**3 - 148*m**2 + 7970*m + 9*m**3 - 15935*m.\nAnswer: 27*m**3 - 148*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 566 is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + 20 + (-3 + 1 - -9) + 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 m when three letters picked without replacement from ommmmmmkmkmmmm.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -11*y + 65. Let b be j(5). Let t be (-6)\/(-69) + b\/(-115). Solve 0 = 4*q - 16, t = 5*h - 3*q + 1 + 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2002030103 + 3223?\nAnswer: -2002020220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(833) + 5*sqrt(833) + sqrt(833))*-5)**2.\nAnswer: 1020425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 166292 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -490 + 8790. Round k to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q*(q\/q**(-2\/9))\/q)\/q))**(-10\/11)\/(((q*q*q\/q**4)\/q)\/q**16) assuming q is positive.\nAnswer: q**(1712\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34781, 34806, 34877, 35018, 35253, 35606, 36101, 36762?\nAnswer: 37613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**31\/(k*k**37\/k) assuming k is positive.\nAnswer: k**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8\/6*(228\/28)\/(43\/((-4816)\/256))\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 154673159.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2145 is divided by 180?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 * -5.7889\nAnswer: -9.84113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-4\/3)*z)\/z**(-1\/7)*z**(-6\/11)*z\/(z*(z**(-6)\/z*z)\/z)*(z*z*z\/z**(1\/2))**(-1\/54)*(z*z**(-6)\/z)\/z**6 assuming z is positive.\nAnswer: z**(-31453\/8316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2410*y**4 - 139044 - y**3 + 142509 + y**3 + 2*y wrt y?\nAnswer: -9640*y**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -828748 - j**2 - j + 3*j**2 + 828755 + 9*j**3 as d*j**2 + l*j**3 + q + v*j and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -92 - -269592?\nAnswer: 269500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -56\/23 and -1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 4:22 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 143648 and 143649 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/251 (b) -0.7 (c) -40 (d) 9 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36*d + 16*d + 16*d + (-1 + 2 - 2)*(-2 + 7 - 3)*(-1 - 3 + 5)*(1 + d - 1).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a factor of 275232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 37999999\/2 - (-34)\/68. What is g rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-1))\/(28\/2240*-24)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u - 6. Let j be l(-6). Let s be (2\/j)\/((-1)\/(-6)). Solve b + g = -4*b - 16, -s*g + 4 = b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24911600 divided by -41?\nAnswer: -607600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42697440.999782 - 42697476. Let z = n + 35. What is z rounded to 5 decimal places?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102214 + -10?\nAnswer: 102204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 2\/15, -1, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t - 3. Suppose -4*y - 2*b - 16 = -0*b, 2*y + 5*b = -16. What is g(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50904 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/25 - (-54)\/(-10). Let b(t) = t**2 + 8*t - 2. Give b(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-216)\/(-32)*(3 + (-11)\/(-3)) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 - -24 - (1 + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 142363151 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 2*r + 5*r + 5787, -3*y = -r - 5777. Let n = y + -753. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1656)\/24*((-438)\/(-657))\/((-4)\/6*1).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 169, 2\/11, 2\/9, -3383?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 5. Let n be z(7). Suppose 3*t - 920 = -n*t. Let m = 309 - t. What is the highest common divisor of 25 and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/7)*i)**(-22\/3)\/(i**(-2\/7)\/i)**5)**(-12\/13) assuming i is positive.\nAnswer: i**(36\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -34*10\/(-1615)*76?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(112))*3 - (0 + (-1 + sqrt(112))**2)) + -2.\nAnswer: -121 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of w**6\/30 - w**5 + 53*w**4\/12 - 23*w. Find the third derivative of d(p) wrt p.\nAnswer: 24*p - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190696 is divided by 6718.\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = s + 3*s - 2*i, -26 = -4*s + 3*i. Let n = s + -4. Calculate the greatest common divisor of n and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30653)\/522 - -32 - (-6)\/27 - 153\/34?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 15124?\nAnswer: -15119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46*o**3 - 46*o**3 - 4*o**5 + (2*o**3 - 2*o**3 - 2*o**3)*(-5*o**2 + o**2 + 3*o**2) + o**5 - o**3 + o**3 - 7*o - 2*o**5 + 7*o.\nAnswer: -3*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/(-13)*(-63)\/(-18)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*i - 14*i = -170. Which is the smallest value? (a) -43 (b) 0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + 4*sqrt(12) - ((sqrt(3) - (sqrt(27) - sqrt(81)\/sqrt(3))**2) + sqrt(3) + 6*-2*sqrt(3))).\nAnswer: -108*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 28527 = -5*f, -1847 = -f - 4*t + 3876. Suppose -6*c + f = 1879. List the prime factors of c.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lo when two letters picked without replacement from {e: 2, q: 1, l: 1, o: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 11*u. Let g = 17 + -14. Let j be (11\/g)\/(1\/(-3)). Let n = -4 - -6. Let f(h) = 2*h. Calculate j*f(z) + n*r(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) -0.1 (c) -0.04139 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -408*a**2 + 1410*a**2 + 1133*a**2 as m + l*a**2 + r*a and give l.\nAnswer: 2135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s + 1. Let a(r) = -5*r + 3. Let o(g) = a(g) - 4*l(g). Let h(d) = d. Let v(u) = -u**2 - 7*u - 5. Let t be v(-6). Give t*o(n) + 6*h(n).\nAnswer: -3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 91.12 + -818478.\nAnswer: -818386.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.87127695 + -118.31804005. Let m = i - -154.1893112. Let v = -35 + m. Round v to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 336, 672, 1008, 1344, 1680, 2016?\nAnswer: 2352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 80 = 20*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 16*r. Let c(f) = 1768*f. Let w(h) = 223*h. Let k(u) = 5*c(u) - 39*w(u). Give p(k(a)).\nAnswer: 2288*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2144*i - 903*i - 4796*i + (1 + 0 + 0)*(0 - 1 + 0)*(-6 + 6 + 3*i) as b + a*i and give a.\nAnswer: -3558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 9 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -61 * 14\nAnswer: -854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is d01 (base 14) in base 2?\nAnswer: 100111110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = -11*i - 1. Let p be ((-4)\/6)\/(i\/18). Calculate the highest common divisor of 36 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-7)*q)\/q*q)\/(q**(3\/8)*q*q*q))\/(q**1)**16 assuming q is positive.\nAnswer: q**(-195\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 32. Let d = b - 30. What is the highest common divisor of 1 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1863971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -609*v**2 - 124*v - 135. Let h(j) = -2*j. Calculate h(q(b)).\nAnswer: 1218*b**2 + 248*b + 270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -9410 = -9465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4\/7 (b) -1\/4 (c) -3 (d) -0.0095 (e) 0.5 (f) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7014477\/8 + 878351. Let m = p + -1553. Calculate the common denominator of -2\/9 and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3.3, 148, 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 444932 and 820.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/29 or 14\/219?\nAnswer: 14\/219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 214*r - 372*r - 15 + 2*r**3 - 33*r**2 + 204*r.\nAnswer: (r - 15)*(r - 1)*(2*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.528 to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiziypxi. Give prob of picking 1 p and 1 x.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -237 and -0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -147*d**2 + 4*d. Let h(z) = 587*z**2 - 16*z. Let s(p) = 2*h(p) + 9*y(p). Let l be s(-4). What is l rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -0*v - 10. Suppose 4*z - 9 = -5*w, -v*w - 2*z + 4 = -0*z. List the prime factors of -6 + 8 - (-5)\/w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*r + 910 = 163*r. Let b = 658 - r. What is the greatest common factor of b and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-14 - (-40 + 20))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/190*(28 + (-70 - -12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t**2 + 2*t + 1. Suppose 2*w = 1 - 3. Suppose 4 = f + 3*f. Calculate the lowest common multiple of f and p(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14423 + -14?\nAnswer: 14404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 5*x = -26, s = 2*x - 3*x + 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 2*r - 11, -330161*r = 13*d - 330164*r + 41 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/12 in 23, -0.5, -1896, -8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -16405*r. Let a(d) = 2*d - 35. What is m(a(q))?\nAnswer: -32810*q + 574175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.048 + 3471.952. Let s = x - 3488.045. Let u = s + 16. What is u rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 33 - 46) + (121 - 9) + -3.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83845040 to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 24, 4, 4587 in ascending order.\nAnswer: 3, 4, 24, 4587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 344987258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u**2 + 0*u**2 + 2*u**5 - u**5 wrt u?\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 564*u + 17526. Give k(-31).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 189177?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/10 - 2\/30. Let o = -223 - -3789\/17. Which is the smallest value? (a) -2\/3 (b) v (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*l - 27*l - 29*l = -54 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1452 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -2)*(1 + -2)*-3. Suppose q*c - 38 = 19. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4033499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + -3 - (-4 - 0). Suppose -2*m + 24 = -j*i, 5*m + 3*i = m - 4. Suppose -4*n + 2375 = -3*a, -m*n = 3*n + 5*a - 2925. Round n to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -10100001100100110?\nAnswer: 10100001100100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 5:41 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*w - 4*w + 150. Suppose c - 112 = 2*u, 0 = -7*c + w*c - 4*u + 100. What is the remainder when c is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/l**(-1)))\/l*l*l)\/(l\/(l\/l**(1\/6)))*l**(-1\/7)*l*l*l**(-3\/11))**(30\/11) assuming l is positive.\nAnswer: l**(3275\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6848 and 704.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*5603.3.\nAnswer: 67239.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 14 = -3*s + 5*m, -2*m - 15 = -5*s. Factor 3\/4*l**2 + 9\/4*l - s.\nAnswer: 3*(l - 1)*(l + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -9*k - k**2 - 2*k**2 + k + k**3. Let o be m(-4). Let c = o + 168. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474*g - 258*g + 2928 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**3 - 2*b**2 + b + 1. Give m(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 1 + -7 + (29 - 20) - 20.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2526*b + 254. Does 12 divide w(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 7*j = 4*j + 13, 4*j = d + 17. Let u be (5\/(-2) + 2)\/(d\/30). Solve 0 = 3*p + 12, 2*k + 4*p + u = 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-2)*16\/(-6). Suppose -168 = x*a - 7*a. Let l = -188 - -216. What is the highest common divisor of l and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 + 10 + (5 - 5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -290 - -505. Let f(b) = r - b - 214 - b. Give f(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 6\/(-3))*1357\/(-3). Let v = t + -923\/2. Calculate the common denominator of v and 68\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 4*x = -4*z, 4*x + 8 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-8)\/56*(-2)\/(4\/(-2))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-98))\/((-36)\/126).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 49749*m - 1543611.\nAnswer: 49749","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2794 and 1053846?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-99)\/(-684) - 3\/12.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 22*k**2 + 41*k + 25. Let m be b(-20). Suppose 2*w - o - 3*o - 32 = 0, 0 = -4*w + m*o + 73. What is the smallest common multiple of w and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -43 + 19 - (2 + -34).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 6*n - 25. Let q be j(-9). Let h be 0 + (q + 0 - (-64)\/(-28)). Which is the second smallest value? (a) 4 (b) h (c) -1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -162*u**3 + 3 - 14104*u**2 - 2*u**4 + 14105*u**2 - 1 to m*u**2 + r*u**3 + k*u + z + i*u**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -5 - (-5 + 5 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 5. Let h(w) = w + 1. Let p be h(-2). Which is the second smallest value? (a) n (b) p (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 112031 - -21?\nAnswer: 112102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9.182173um?\nAnswer: 0.000009182173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 524559556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6437, -6440, -6443, -6446, -6449, -6452?\n\"Answer: -3*b - 6434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*r**2 + 131*r**2 - 23*r**2)*(3*r - 3*r + 2*r).\nAnswer: 314*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -231, -132, -35, 60, 153, 244, 333?\nAnswer: 420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -123 or -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 116049391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 71*c**3\/2 - 487*c**2 + 177*c. Differentiate n(q) with respect to q.\nAnswer: 213","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 4. Let r be o(-2). Let v(n) = -16*n + 30. Let m be v(0). Suppose m = 24*y - 14*y. Sort y, -4, r in decreasing order.\nAnswer: y, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*g**2 - 153 + 117 + 59 + 142 + 206 to the form k*g**2 + o + m*g and give k.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*a**2 - 35*a**2 - 8*a**2 + 0*a + 0*a + a**2 + (4 - 2*a - 4)*(a + 4*a - 3*a) - 2*a**2 + 3*a**2 - 2*a**2.\nAnswer: -32*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109414 by 109414.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 0 + (-5 - (0 - 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/4)\/q*q**(2\/9)*(q**(-1)*q)**(-2\/67) assuming q is positive.\nAnswer: q**(-37\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4 = -0*s. Put 1\/7, s, -2\/7 in descending order.\nAnswer: s, 1\/7, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-5) + (-118944)\/(-60). Let p = 3129 - m. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u + 1. Let t be y(9). Suppose -i = 5*d - 17, -4*i - 5*d + t = -10. Suppose 3*c - 23 - i = 0. Solve 7*g - b + c = 2*g, 13 = -3*g + 2*b for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 14*d**2 - 41*d + 46. Is 110 a factor of h(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3805, 7608, 11411, 15214, 19017, 22820?\n\"Answer: 3803*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -86 - 21513b?\nAnswer: -215205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (sqrt(120)\/sqrt(4))\/sqrt(6)) + -5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 257*g**2. Let f(u) be the third derivative of -u**4\/12 + 5*u**2 + 11*u. Determine d(f(j)).\nAnswer: 1028*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291529?\nAnswer: 7, 41647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*b**4 + 3)*(5 + 3 - 6) + 199 - 2*b**3 + 11*b**4 - 211 + b**3.\nAnswer: 7*b**4 - b**3 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 9:52 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1650502 (base 9) in base 5?\nAnswer: -213401242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -57*k**2 - 33*k - 33. Let y(b) = 0*b - 4*b - 4 + 0*b - 7*b**2. Let d(c) = -4*r(c) + 33*y(c). Let w(s) = -79*s - 26 + 67*s + 26. Determine d(w(n)).\nAnswer: -432*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61513, -61522, -61503, -61456, -61381, -61278?\nAnswer: -61147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -381 + 399. Let o(b) = -b**3 - 3*b**2 - 5. Let h be o(-3). Let k = r - h. What is the highest common factor of k and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - l + 1440 = -0*m, -2*m - 4*l + 720 = 0. Calculate the remainder when 1449 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2\/5 - 90176*s\/5 - 180336\/5.\nAnswer: -4*(s + 2)*(s + 22542)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1622651 a multiple of 859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 1104.\nAnswer: 1103.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(0 + (-3)\/(-39)). Solve w - 1 = 3*a, -5*a = q - 21 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**3 - y**2 + 2*y + 1. Let l(i) = 130*i**3 - 10815*i**2 + 254965*i - 22095. Let p(j) = l(j) + 5*u(j). Factor p(r).\nAnswer: 5*(r - 47)**2*(23*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 852*x - 310 = 821*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*153\nAnswer: 15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**4 + n**4 - n + 24*n**3 + 8*n**3 + 245 - n**2 - 237 - 2*n**2 as s*n**4 + i*n**2 + h*n + u*n**3 + r and give u.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 395807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (856\/7490*(-30)\/(-8))\/(-1)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 15*z = -4*z + 98. Solve -23 = z*h + 12 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1386 and 3916374?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b - 4. Let k be w(-4). Suppose -v - k - 3 = 0. Let i(d) = -1 + 2*d**2 + 4*d**2 + 57*d**3 - 31*d**3 - 2 - 8*d - 25*d**3. Calculate i(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 201341040 - -3?\nAnswer: 201341043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7017903*r*x + 6487152*x with respect to r.\nAnswer: -7017903*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3213*z - 3134*z + 5925 for z.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, c: 6, j: 3, m: 2}. What is prob of picking 1 j and 1 m?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.088 + 98.912. Let u = -98.8 + c. What is the third smallest value in u, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5943, 12273, 19359, 27579, 37311, 48933, 62823?\nAnswer: 79359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - s + 20 = -9, 0 = -n + 2*s - 3. Suppose 6 = -0*l + 2*l. Suppose -2*m + l = m. Calculate the greatest common divisor of n and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150707312.\nAnswer: 2, 7, 17, 79153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssa when three letters picked without replacement from {s: 2, v: 3, a: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*r - 73 + 60 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2106)\/648*32\/(-52). Find r, given that 11\/6 + 5\/3*r - 1\/6*r**u = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6122.602 millilitres?\nAnswer: 6.122602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 938357429?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 186 + 394. List the prime factors of b.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9224030 divided by -10\nAnswer: -922403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53223859 by -131.\nAnswer: -406289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 77555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12024 (base 5) to base 10.\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.047 (b) 1\/4 (c) -0.1 (d) -21\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence klk when three letters picked without replacement from jkkbflj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 252585 - 7?\nAnswer: 252577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -94*h + 81*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/4, -4, 7683, -0.1, 199, 1?\nAnswer: 199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/(-5) + 1\/5. Let s(o) = -o**3 - 2*o**2 + 2*o - 3. Let g be s(v). Suppose g*c - c - 3 = 0. Is -3 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxppxpxpp. What is prob of sequence xpxx?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 7. Let x = 13 + i. Suppose -4*z + x = z. Solve z*k = -5*y + 6, 4*k + 10 = -k for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -29399, -58754, -88051, -117278, -146423, -175474?\n\"Answer: 2*m**3 + 17*m**2 - 29420*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 855856 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -232, -229, -224, -217, -208, -197?\n\"Answer: c**2 - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20759953 a multiple of 667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -68, -63, -56, -47, -36, -23?\n\"Answer: a**2 + 2*a - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 17 + 4. Suppose x*m - 102 = 4*m. What is the third derivative of -m*r**5 + 2*r**2 + 20*r**5 - 4*r**2 wrt r?\nAnswer: -840*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 3*y + 11. Calculate v(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353556 is divided by 49.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1313 - -6568\/5. Let f = -0.119 + -0.081. Put -2\/11, f, q, 5\/6 in descending order.\nAnswer: 5\/6, q, -2\/11, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -7\/5 (c) 13 (d) 96\/19 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (5 - 8) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10071734 + -2?\nAnswer: 10071732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7215 > 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-3 - 1) + 62 + -63 + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 9)*(-2*i + i + 0*i + 0*i + i - 2*i - 1 - 2*i + 1 + (4*i - i - 5*i)*(3 + 1 - 3)).\nAnswer: -72*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*g + 26*g + 33*g - 95*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4635097674?\nAnswer: 2, 3, 772516279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 6*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297*c**3 - 88*c**3 + 283*c**3.\nAnswer: 492*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9694 is divided by 605.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 4*g + 2. Let j(v) = -v**2 - v + 1. Let q(k) = -2*k - 2. Let s be q(-3). Suppose s = 5*m + 9. Give m*i(z) + 2*j(z).\nAnswer: -z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*d + 1, 2*d - 5 = -3*d. Let o be 9\/3*(m - 2). What is the common denominator of o - (3 - (-165)\/(-42)) and 31\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1480\/9 + 362\/9*k - 2\/9*k**2.\nAnswer: -2*(k - 185)*(k + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -1)\/(2 - 4). Suppose c = -2*s + 3*t + 1 - 4, 15 = 5*t. Suppose -2*i + 33 = 3*k, s*i = -2*k + 4*k - 35. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 2\/3 (c) 1 (d) 4 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = k + 13, -50 = -3*l - 2*k. Solve 4 + l = -6*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6)\/(a\/(a\/(((a*a\/((a\/a**(3\/2))\/a*a))\/a)\/a))))**(1\/2)\/(a**(4\/9)*a*a**(-2\/7))**15 assuming a is positive.\nAnswer: a**(-1733\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -240 - -236. What is the units digit of 2\/12 + a\/(192\/(-20776))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1765733\/8 or 220718?\nAnswer: 1765733\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -43*a**2 + 939*a + 197. What is b(22)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -44, -87, -130, -173, -216?\n\"Answer: -43*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 23, -9, 0.5, 3, 2\/99, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(17) + ((sqrt(204) + sqrt(204)*-4 + sqrt(204))\/sqrt(12) - sqrt(17)))**2.\nAnswer: -8*sqrt(17) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - 6 - -7 - (-64 - 3 - -4)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**4\/5 + 99*w**3\/5 - 98*w**2\/5 = 0?\nAnswer: 0, 1, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 + 170*w**2 + 2764*w + 4864.\nAnswer: 2*(w + 2)*(w + 19)*(w + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 922.\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 239 - 242. Let r be 2\/x*1*12\/(-10). Suppose 7\/5*u**3 - 2\/5*u**4 - 4\/5*u - r*u**2 + 0 = 0. Calculate u.\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8979611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3901382 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/12 and -37\/219.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1871*h**3 - 1222*h**3 - 1977*h**3.\nAnswer: -5070*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p - 6. Let f be s(-10). Let j = f - 30. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3736039.\nAnswer: 17, 219767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 159848278?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -2*n**6\/3 - 93*n**5 - 584*n**4 - 185*n**3 - 4746. Determine o, given that w(o) = 0.\nAnswer: -111, -5, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2210201131 (base 4) to base 14\nAnswer: 137829","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -70*w + 25. Let s be d(-6). Suppose -5*k = -0*k - s. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -193*a**2 - 157*a**2 + 206*a**2 + (0*a + a + a)*(3*a - 3*a + 2*a) + a**2 - 1 + 1.\nAnswer: -139*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of 3*a**6\/10 - 6*a**5\/5 + 3*a**4\/4 + a**3 - 3*a - 16. Let o(q) = 0. Calculate q.\nAnswer: -1\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1805401 and 1469.\nAnswer: 1469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/20 - 29\/30. Let y = 0.1 - 0.1. Let o = y - 0.4. What is the third smallest value in o, v, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -25\nAnswer: 7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 1160*y + 130. Let h(x) = -27*x - 3. Give 260*h(u) + 6*q(u).\nAnswer: -60*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -3 + 30 + -18 + (-8 - 4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-64)*((-12)\/3 + -2)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16979311?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/28*(-35)\/(-2) + 0. Find the third derivative of -56*n**2 + 42*n**2 + b*n**3 + 65*n**2 wrt n.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 2*o**3 + o**2 + o + 4. Let q(u) = -u**2 + 9*u - 1. Let n be q(9). Let c be g(n). Solve -2 = -c*s + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3)**8\/(v**(2\/49))**(-3\/7) assuming v is positive.\nAnswer: v**(8238\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*f + 1, 0 = 3*d - 4*f. Suppose 0 = 8*q - d*q - 3*h + 74, -48 = 2*q + 4*h. Let l = q - -25. Which is bigger: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-230)\/(-322))\/((-20)\/(-56)). Solve 5*v = -4*s + j*s - 14, -s = 2*v + 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -37. What is the units digit of (6\/9)\/(3\/m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 48806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 - 58*m**3 - 4947 + 4947 + 53*m**3 - 117*m**3.\nAnswer: -122*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*n - 26, 0 = -4*s - 80*n - 82*n + 173*n - 98. Suppose -16 = -u - 3*u. Factor 0*f**2 + 0*f + 0*f**s - 2\/7*f**u + 0.\nAnswer: -2*f**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4230 - -15a?\nAnswer: 438a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(136) + sqrt(136) - sqrt(136))*3 - sqrt(136)) + (3*sqrt(136)*4 + sqrt(136) - sqrt(136)))\/(-6*(4*sqrt(968) + sqrt(968))*-6).\nAnswer: -sqrt(17)\/1980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-8) - (-8 - -10)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 21*k - 70. Let z be p(3). Let u(y) = -y - 1. What is u(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1340 divide 177132946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 - 60*v + 64.\nAnswer: -4*(v - 1)*(v + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 - 71. Suppose 0 = s - d - 6. Calculate the lowest common multiple of -1*-8*(1 + 0) and s.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(2\/5))\/(y*y**(-4))*y**4*y*y*y*y\/(y*y*y*y\/(y**1*y*y)*y)*y*y*(y**(-3\/5)*(y\/y**6)\/y)\/(y\/(((y*y**(-1\/6))\/y*y)\/y)*y**(2\/15)) assuming y is positive.\nAnswer: y**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 192886\/9 + -21432. Which is the nearest to 1? (a) -19 (b) 0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14, 32, 164, 424, 854?\n\"Answer: 7*x**3 + x**2 - 6*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/(-2))\/((-6)\/(-72)))\/((-60)\/30).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*x - 2*x - x + (2*x - 5*x + 10*x)*(3 - 2 - 3) in the form j*x + o and give j.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwq when three letters picked without replacement from {w: 4, d: 7, q: 1, f: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, k: 3, a: 10, y: 3}. What is prob of sequence kkkq?\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r**2 + 7*r + 4. Let q(u) = -2*u**2 - 4*u - 2. Suppose -10*l - 6 = 44. Calculate l*q(o) - 3*k(o).\nAnswer: o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6487489994 minus -1.1?\nAnswer: -6487489992.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(20)\/sqrt(100))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 87 - -1 - (-45 + (33 - -32 - 27)).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -o - 67. What is the greatest common factor of 22 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*g = -32*g + 10355. Does 81 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100631835, -100631837, -100631839, -100631841, -100631843, -100631845?\nAnswer: -100631847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 60501, 60475, 60455, 60447, 60457, 60491, 60555?\n\"Answer: n**3 - 3*n**2 - 24*n + 60527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, m: 1, p: 2, g: 2}. Give prob of picking 1 m and 1 g.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -145440?\nAnswer: 145435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 7*f - 2. Let p be q(1). Suppose -4*r - p = -13. Suppose -r - 44 = -2*j. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3708677907 and 10737?\nAnswer: 10737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40123940027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6460828437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 168 and 54?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -20, -3, -5, 1 in ascending order.\nAnswer: -20, -5, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/10)\/(((-10020)\/21710)\/(70\/(-78)))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.008 - -0.308. Which is the second biggest value? (a) -1 (b) l (c) 9 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 + (54 + -90 - -88)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24445 - 23479. Do x and 6765\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 4:28 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 6*g - 4. Let k be f(6). Let n be 6*k\/(-8)*1. Suppose -2*s + 32 = 3*s - 3*v, n*v + 4 = -2*s. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.2 - 2.3125. What is f rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**5 + 38*r**4 + 1020*r**3 = 0 for r.\nAnswer: -15, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 735, 721, 693, 645, 571, 465, 321, 133?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 484, 1804, 4370, 8596, 14896, 23684, 35374?\nAnswer: 50380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2)*(-4*u - u + 0*u + (53 + 118 + 41)*(4*u - 2*u + 0*u)) - u + 2*u + 2 - 3.\nAnswer: -837*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 26507\/(-55) + (-18)\/(-45). Let o = -481 - p. Which is bigger: o or 1\/10?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (750\/(-42) - -12) + 7 - 132\/42?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.83 - 0.17. Let l = 16 + s. What is the biggest value in -3, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17.12 - 25.12. Let n = 10 + -14. What is the smallest value in n, -2, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 1\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 3*z + 18, -2419 = g - z - 2417 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 9*b - 74. Let d be u(21). Let c be (8\/6)\/(8\/1212). Let q = c - d. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -266 + (16\/(-4) - -2). What are the prime factors of 5\/15 - f\/6?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 times 0.56?\nAnswer: 0.1008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 6*x**2 - 8*x + 12. Calculate d(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 537 = 4*k + 5*b, -2*k = -5*k + 4*b + 364. Calculate the greatest common divisor of 16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432485.3g in nanograms?\nAnswer: 432485300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a centimeter in micrometers?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/30388651 less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64 - -28. What is the common denominator of -107\/14 and ((-498)\/(-4))\/(f\/4)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-3 - (-6 - (10 - (5 + 2))))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 r when four letters picked without replacement from qrqqrqururqqqurbqrq.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10332213 (base 4) to base 10\nAnswer: 20391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 400 divide 6830582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-3\/2)\/h)\/h*h)**(10\/7))**(-2\/39) assuming h is positive.\nAnswer: h**(50\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -588, -1127, -1664, -2199, -2732, -3263?\nAnswer: -3792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 146 + 65 = 3*a, 0 = -2*w - 4*a - 48 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 572\/33635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 113 - 121. Let y(c) = c**2 + 6*c - 10. Determine y(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 187920 and 3625?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -4 + 0*g**4 + 2\/3*g**3 + 4\/5*g**5 + 0*g**2 + 0*g. Find the third derivative of n(b) wrt b.\nAnswer: 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 1064*q - 11. Let h be y(1). Let c(t) = -46*t - 6. Let w be c(8). Let z = h + w. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 81671\/540 + -605\/4. Which is the second smallest value? (a) z (b) 3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 + u**2 + 2440*u**3 - 2407*u**3.\nAnswer: 33*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f. Let n be u(-1). Suppose 405 = 2*r + 3*m, 4*r + n*m - 819 = -0*m. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*k + 18, 3*k - 9 - 3 = 0. Let a(g) = 29*g**2 - g. Let c be a(s). Let j = c - 13. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5784.038 decades?\nAnswer: 694084.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*f + 8. Find the third derivative of -56*k**3 - k**f + 56*k**3 - 4*k**6 wrt k.\nAnswer: -480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-24) + (-8)\/(-6). Let s(b) = 1 - 5*b - n + 3*b. Determine s(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 143613 and 357939.\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 420 and 52571820?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 357 = 903. What is k rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*i + 20. Find the second derivative of -i*t**3 + 10*t**3 + 2*t**5 - t wrt t.\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 times 0.2?\nAnswer: -25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -10. Suppose 0 = 2*o - 4*n - 12, n - 5 + 1 = 0. Let d = f + o. Calculate the remainder when 30 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*t + 11*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.8 + -319.\nAnswer: -314.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 61*c + 17. Let r(n) = n**2 - 21*n - 2. What is k(b) + 2*r(b)?\nAnswer: 3*b**2 + 19*b + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 4*m - 876, -2*m = -x - 3*m + 176. Suppose 5*s - 220 = 5*g, -5*s = -s - 2*g - x. Which is smaller: 41 or s?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -94*t**6\/15 - 40*t**4\/3 - 2*t. What is the third derivative of w(b) wrt b?\nAnswer: -4512*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36321960 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/15356 at least as big as 0.026?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 27*o**2 - 24*o + 288. Calculate b(-28).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 156\/65 + 4\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 81 = 83. List the prime factors of s.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221243 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microsecond in nanoseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 141\/74800 and -21\/800.\nAnswer: 149600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 10*h + 5. Let f be j(4). Suppose -7*m + 10*m = f. Find the second derivative of -5*i**2 + m*i - 10*i**2 + 17*i**2 wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29893*w + 19514*w + 228550*w.\nAnswer: 218171*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 1)*(-2)\/(-12). Let w be (6\/15)\/((-16)\/(-30)). Factor -1\/4*c**5 + 3\/4*c**4 - t*c**3 - 1\/2*c**2 - 1\/4 + w*c.\nAnswer: -(c - 1)**4*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -457, 2386, 11815, 31124, 63607?\n\"Answer: 549*g**3 - g**2 - 997*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence shes when four letters picked without replacement from eceessceoehhoohc?\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.02, -2114, -324.5?\nAnswer: -2114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*d + 34*d - 6*m + 2 = 0, -9 = -3*m for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 != 375928?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g + 4*g**2 + 3*g + (5*g - 2*g - 2*g)*(4*g + 0*g - 3*g) - 4*g + g**2 + 3*g + 2*g to the form t*g**2 + w*g + h and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96 - 93. Is -5 + i + (0 - -879) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-78)\/(-9) - (22\/6 + -2). Solve 3*a = f + 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2350 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 159240 and 11940?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 58 = -p - 2*y, -3*y - 232 = -4*p. Suppose 2242 = 12*w + 742. Let c = w - p. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*((-2)\/(-15))\/(32\/(-16))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 5*n - 5, 6 = 2*n + 2*a - 3*a. Let z = 1 + n. Calculate the least common multiple of ((-12)\/14)\/(1\/(-21)) and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*t + 58. Let g = t + 13. Suppose -4*m + 3*n + 90 = 0, 3*m = -0*n - g*n + 59. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + z + 2*z**2)*(6 - 7 - 11).\nAnswer: -24*z**2 - 12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1210, -2560, -4070, -5740, -7570?\nAnswer: -9560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a kilometer in meters?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.73 - 7.73000981. Round m to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 2:58 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.675 - 885.625. Let v = q - -897. Put 368, 3, v in increasing order.\nAnswer: v, 3, 368","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, -0.4, -0.3, 0.7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84670, -338451, -761420, -1353577, -2114922?\nAnswer: -3045455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - ((-4)\/22 + 72\/33). Solve -x = -p + 2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132240 a multiple of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43482 divided by 1.\nAnswer: 43482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**8*m*m**6*m*(m**(-3))**(3\/5) assuming m is positive.\nAnswer: m**(71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*b - 31*b + 12 - 3*b**4 - 17 + 2*b**3 + 95*b - 38*b to r*b**2 + m + i*b**4 + x*b + q*b**3 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 861835073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 172 + -93. Calculate the remainder when t is divided by (-174)\/319*(17 + -50).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125309*l + 124658*l = 31899 for l.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.014 * -4.\nAnswer: -0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 61 = -5*y, 10198*y - 10204*y + 3*l = 72 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -346*a. Let s(i) = -2048*i**2. Calculate s(x(d)).\nAnswer: -245178368*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -5*c**2\/2 + 20. Give v(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, z: 4, c: 3, w: 10}. Give prob of picking 2 z.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 294 - 6*b - 283 + 7*b + 4*b**4 to the form a*b**3 + r*b + i*b**2 + f*b**4 + y and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 651 is divided by 642.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cqk when three letters picked without replacement from qccccccqkckc?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/20*-2 + (-1323544)\/(-20). Suppose q + 10423 = 2*g. What is g rounded to the nearest one thousand?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23247 (base 12) to base 5\nAnswer: -3000444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 184, 674, 1404, 2302, 3296, 4314, 5284, 6134?\n\"Answer: -12*g**3 + 192*g**2 - 2*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 1. Let g(x) = -3*x - 46. Let w(o) = -4*a(o) - g(o). Let h be w(14). Calculate the highest common divisor of 252 and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 941939450?\nAnswer: 2, 5, 18838789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -633523*w**2 + 318288*w**2 + 316801*w**2.\nAnswer: 1566*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -154.2 and 5?\nAnswer: -771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18806 - 217*t**2 - 18806 + (-2*t + 2*t + t)*(-1 + 2*t + 1) to x*t + g*t**2 + j and give g.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*3 - (44 + -1). Suppose 5 = 7*b + 12. Let w be (2 - -1) + b\/(4\/c). Solve 0 = 3*z + 1 - w for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 7*b - 2. Let y(v) be the first derivative of v**2\/2 - 9. Determine u(l) - 5*y(l).\nAnswer: l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v. Let h(z) = 48*z. Let o(j) = 5*h(j) - 35*l(j). Let r be o(6). Suppose 60 = -3*s + r. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 156 = 146. Let w = -84 - o. List the prime factors of w.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -2)\/((71 + -144)\/(-73))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1033949, 1033876, 1033803, 1033730?\n\"Answer: -73*a + 1034022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*k - 73*k + 48 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 + 41*t - 147. What is the hundreds digit of l(-31)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 34589 = -6*i, -i = -2*h - 4547 - 1216. What are the prime factors of i?\nAnswer: 5, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/2 of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3 = -d, -8*d - 5*p = -11*d - 13. Let x(a) = -a**2 - 7*a - 1. Calculate x(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -13*b. Let j(x) = -x**2 + 7*x - 7. Let t(g) = -3*g + 3. Let l(f) = 3*j(f) + 7*t(f). Determine l(p(c)).\nAnswer: -507*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 22 = 2*s, -2*m = m - 4*s - 2. Let x(c) = -2*c**3 + 3*c. Let i(v) = -3*v**3 + 5*v. Determine m*i(r) - 10*x(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43 and -3220091.\nAnswer: 138463913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1504 - 667. What is the remainder when f is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 3. Let n = k - 6.3. Which is the smallest value? (a) 4 (b) n (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2156890 or -22?\nAnswer: 2156890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -13*u**3 - 5*u**2 + 5*u + 7. Let d(o) = -7*o**3 - 3*o**2 + 3*o + 4. Calculate 5*d(l) - 3*z(l).\nAnswer: 4*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.22? (a) -10212\/91 (b) -1\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3388.26 - -3425. Let x = -37 + k. What is x rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*u - 7*u - 21*u + 46*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*h - 3509 + 253526 + 495459 = 0. What is the remainder when h is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0319738 rounded to 3 dps?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.2 + 3805?\nAnswer: 3725.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 2*m + 65 = 0. Suppose -2*t = -2*y + 2346, 4*y - m*t + 9*t - 4676 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/11? (a) 4 (b) -0.2 (c) -4 (d) -9\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.28 in -6, 0.9, 20?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -242141201034 + 0?\nAnswer: -242141201034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 + -9)\/((-2)\/37) is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + 14. What is the highest common factor of 252 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 5*w. Let y be p(6). Let h = 15 + y. Is (6\/(-8))\/(h\/(-396)) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 461 < 21687\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 1505\/105)\/(7\/3948*4)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22332 + -14143?\nAnswer: -42030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-10) + (-39)\/(-65) + 0. Suppose -19*o - 9*o - 364 = d. Suppose -17 = -3*y - 59. Is o smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(15)\/(sqrt(9)\/sqrt(3)).\nAnswer: sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*r + 41 = 0, -3*l = l - 5*r - 46. Solve -1 = 4*v - l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -295.23 times 64?\nAnswer: -18894.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1658725693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, i: 12}. What is prob of picking 2 i?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 1\/105*r**6 - 4\/105*r**5 + 0 + 0*r + 1\/42*r**4 - 39*r**2 + 8\/735*r**7 - 1\/196*r**8 + 0*r**3. Determine w so that f(w) = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.045484 to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 267079 to the power of 1\/2, to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 810577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4976287147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 374 and 1394?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*n**2 - 7*n**2 - 9*n**2 + 2 + 2*n**2 - 2 + (2*n - 2*n - n)*(-2 - n + 2) + (2*n - 2*n + n**2)*(-5 - 3 + 1)*(-3 + 0 - 6).\nAnswer: 61*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 24546 divided by -6?\nAnswer: -4091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 12. Let h be i(0). Let c = -2 + 2. Suppose c*s + 4*s = -h. Sort 3\/2, 0.2, s.\nAnswer: s, 0.2, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/231*(-28)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i - 2 = 30. Let q(u) = u + 1. Let n be q(i). Solve -n*j - 2*g - 17 = 0, -2*j + 1 = -3*g - 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + -2 + -2 - -9. Suppose c = 1 + 2. Solve 5*q - 8 = -c*w, f*w + 4 = -q + 4*w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18488497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*d = -1112*d + 26714 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2195071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (803*h**2 - 42*h - 1616*h**2 + 835*h**2)*(h**2 - h**2 + h**2).\nAnswer: 22*h**4 - 42*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -256 + 193. Sort q, 2, -3.\nAnswer: q, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6077041.\nAnswer: 17, 357473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 15*i + 56. Let r be n(-8). Let b = r - -141. What is the remainder when b is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1182 and 62?\nAnswer: -7.3284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 171 - 169. Solve w + s*q + 6 = 0, 3*w + 2*q + 0 = -2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1926)\/(-1070) + (-42)\/15 + 1 - 51\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132510, 132519, 132520, 132507, 132474, 132415, 132324?\nAnswer: 132195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/18*(-4)\/5. Let i be 3*-10*3\/(-150). Sort i, -4, v.\nAnswer: -4, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2236212367 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -10?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 10:40 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-15435)\/(-33614))\/(12\/(-14)))\/((-24)\/14)?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18\/11 or 138897\/91?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/8 - (-11 + (-154)\/(-14)). What is the closest to r in 3, -0.3, 309?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75822581197 - 1.96.\nAnswer: -75822581198.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1212031132 (base 4) to base 10.\nAnswer: -418654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(-4 + 2) + 0. Suppose -b*d + 23 = -13. What is the highest common divisor of 48 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-237)\/(-6)*-76 - 2. Let v = -1743 - o. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6428 (base 10) to base 4\nAnswer: 1210130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (28 - 10 - 4) + -10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 11*r + 21 = -5*m, r - 5*m - 8 = 0. Let u be r*-22*((-36)\/8 - -4). What is u rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 - 426*m - 840.\nAnswer: -3*(m + 2)*(m + 140)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7932 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -9*n**2 - 2*n - 17. Let g(l) be the third derivative of l**5\/15 + l**4\/24 + 4*l**3\/3 - 8*l**2. Calculate 13*g(q) + 6*o(q).\nAnswer: -2*q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 58128 = -5*r + 58145, 5*r = 4*u + 32 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*a - 958717 = -90*a + 226511. Calculate the greatest common factor of 48 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h**2 + h. Let v be p(1). Let r be (-1)\/(-2)*2\/v. Which is the closest to -0.1? (a) r (b) -0.4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*l - 142 + 96 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 20643*f + 144648.\nAnswer: -3*(f - 7)*(f + 6888)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(77) - (3*sqrt(77)*4 + sqrt(77) + sqrt(77)))\/sqrt(11).\nAnswer: -13*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**5)\/(g*g**(-7)))\/(g*(g\/(g\/(g*g**(-3\/2))))\/g*g*g\/(g**(-1)\/g)))\/(((g**0\/g*g)\/g)**(-14)*g**7\/(g**0\/g)) assuming g is positive.\nAnswer: g**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g**2 - 27. Let i(t) = 1. Let u(l) = 2*l**2 - 1. Let s(r) = -24*i(r) + 3*u(r). Let p(y) = 6*s(y) - 7*w(y). Calculate p(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 862622207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 h when three letters picked without replacement from {h: 5, n: 2, a: 9}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 3 + 3)*(-12 + 5*n - 11*n + 8*n).\nAnswer: -4*n**2 + 24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5196461720 to the power of 1\/3, to the nearest integer?\nAnswer: 1732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 8039840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 1. Let u = 1.774557 - 0.774576. Let r = m + u. Round r to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {p: 1, i: 1, s: 1, k: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 6*w**2 + 5*w - 6. Let c be f(-5). Let s = 7 + c. Let g be (-20)\/s*6\/(-12). What is the greatest common factor of 90 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -0*f + 5*x - 5, x - 1 = -3*f. Let v = 9 + -6. Suppose -67 = -5*n + v*z, -n - 4*z = -f*n + 5. What is the remainder when 30 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49785.51 milligrams in nanograms?\nAnswer: 49785510000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 32*c**2 - 28*c - 9. Let o be z(24). Let k be 14\/49 - 22003\/o. Let u = -7\/51 + k. Is u < -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - x + s = 211, 0 = -2*x + s + 107. What is the remainder when x is divided by (1 + -3)\/(2\/(-14))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 6:49 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.47 - -417.47. Let m = 416.99379 - s. Round m to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -301182 divided by 25\nAnswer: -301182\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -150*u - 155*u - 1420 + 431*u with respect to u.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9.362 and -0.3.\nAnswer: -9.662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -12729 greater than -12726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -26, -88, -186, -320, -490, -696?\n\"Answer: -18*i**2 - 8*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 times -2?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7698 and 20882.243?\nAnswer: 13184.243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + (-78490)\/(-19) + 6. Let j = -4143 + u. Suppose 0 = 3*w, -4*w = -0*p + 3*p. Which is smaller: j or p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -5. Solve -8 = -4*m - d for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50333\/8 - 6303. Let u = -23103 - -8402. Let v = u - -294121\/20. Calculate the common denominator of h and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4631 is divided by 331?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t - 4*t + 4*t - 2 + 1. Let u be l(5). Suppose -3*c - 24 = -39. Which is smaller: u or c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 65496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1382 to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 2*a - 2244 = -98*a for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 704484.1 nanoseconds to milliseconds.\nAnswer: 0.7044841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -157*l*m**3 + 1216*l - 5*m**4 + 2 wrt m.\nAnswer: -471*l*m**2 - 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*l = 4, 2*a - 2 = -3*l + 3. Suppose -184 = a*s - 192. Solve 5*t + 2*b - 2 + 12 = 0, -s = t + 2*b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1518 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 48 = 4*p, -2*o = -3*p + 3*o - 4. What is the common denominator of (-2)\/19 + 1931\/456*4 and ((90 - 3)\/3)\/p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -25423, 2\/25, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yo when two letters picked without replacement from {p: 4, z: 5, o: 1, y: 8}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7217.693 centuries to months.\nAnswer: 8661231.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 9:45 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 279070.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/((-1)\/(-1)))\/(64445\/(-232002)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 17*d**2 - 3 + 2*d**3 - 5*d - 17*d**2. Let j be p(-3). Let y be (j\/(-9))\/((-2)\/(-3)). What is the highest common factor of 35 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/17)*j*j\/(j\/(j*j\/(j\/j**5*j)))*(j**(1\/2))**(-17) assuming j is positive.\nAnswer: j**(-81\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709 bigger than 1712?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 11:07 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 35.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -4, 78, 6, -1.78, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18086496?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/12)*d\/d**(-3\/4)*d)\/(d\/(d\/(d*d*d\/(d**0\/d)*d)))**(-16\/9)*((d\/d**(2\/7))\/d)**(-25)*(d**(-1\/5))**(1\/4) assuming d is positive.\nAnswer: d**(23497\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/14 and 12\/(-54) - (-7)\/(-2).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o + 16*o - 40. Suppose o*n + 58 = 5*v + 18, 0 = -n - 1. Solve f + v = -2*w, 0 = 4*f - 5*w + 5 - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4784 + 4783.3. What is the biggest value in -0.3, -3\/2, -2\/5, 3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 31*q. Let b(a) = -1297*a - 15570. Let x be b(-12). Let r(u) = u**2 - 31*u. Determine x*r(c) + 5*y(c).\nAnswer: -c**2 + 31*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 0)*(1 - 5 + 0)*(0*l - l + 6*l) to the form f + m*l and give m.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-1) + 0 - -4. Let m = 5\/1207 - -1147\/14484. Which is the smallest value? (a) r (b) m (c) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 9:32 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.1 (c) 7 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -5. Let u = j + 0.8. Let f = -4\/77 - -251\/385. Which is bigger: f or u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 (base 13) in base 8?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -325433 + 1210?\nAnswer: -324223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 12432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.99 + -9.185. What is d rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 164\nAnswer: -164.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(6\/13))**(-2\/13)\/(l**(6\/19)*l*l*l\/(l**3*l*l*l)))**39 assuming l is positive.\nAnswer: l**(25173\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + 2246)*(-4)\/(-8). Let o = -602 + h. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 + 2356*a**2 - 144706*a + 17823. Give v(1113).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -1.8, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 330 and 2829222.\nAnswer: 14146110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*o - 9 = -0*o, 0 = 3*n + 4*o - 3. Let y be n\/2*(-2)\/(-1). Let p(j) = -5*j - 10. Let c be p(y). Solve -c*v - 1 + 21 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**5 + i**5 + i**5)*(-2 + 5 - 4) + 4*i**5 - 2*i**5 - 3*i**5.\nAnswer: i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -77454 divided by -2?\nAnswer: 38727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 940252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 188235?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -43*i**3 + 8*i**2 - 21*i - 105. Determine t(4).\nAnswer: -2813","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 - -49.8. Let t = 10.41 + -10.61. Which is the closest to t? (a) 0.1 (b) y (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**4\/2 + 7*l**3\/2 + 15*l**2\/2 + 13*l\/2 + 2 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3 - 149072*v**2 - 894370*v - 745300 = 0.\nAnswer: -74530, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 4:43 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4*(4 + 103780\/16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 539 + -527. Solve m - 28 = 4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 11. Let u be (1\/(-3))\/((-1)\/(-3)). Calculate the remainder when 13 is divided by u\/(-2)*(-1 + h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8789 and 4583370.\nAnswer: 215418390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24977794301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41 + 133 - 30 - 29 + 7492*m - 32 to the form h + q*m and give q.\nAnswer: 7492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1946170 or 1946164?\nAnswer: 1946164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 192748?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17806*k**3 - 1336600 wrt k?\nAnswer: 53418*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -522, -511, -494, -471, -442, -407, -366?\n\"Answer: 3*i**2 + 2*i - 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-35 - -29 - -21) + -31\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/8 - 7\/(-2). Let q = -1 + n. What is the second derivative of -9*d**4 + 8*d**4 - d**q - 3*d wrt d?\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 258 + -173. Suppose 164130 = -79*t + o*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/144*8*(-2088)\/24.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 24, -1, 3, 4, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from rscrcsfrsfcf.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qy when two letters picked without replacement from ovjjojyjjvyoqjqjoqyo?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 59383, 59448, 59509, 59566?\n\"Answer: -2*c**2 + 71*c + 59314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17634793 to the nearest integer?\nAnswer: 4199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 7*c**2 + 2. Let y be g(-7). Let d be ((-4)\/(-6))\/(2\/(-3)). Let s = -3.7 - -2.7. What is the nearest to d in -2\/7, y, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 880.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1001101101111111111001000000?\nAnswer: -1001101101111111111001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2193 is divided by 1058.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -14*t + 29. Let x(w) = -3*w - 2. Calculate x(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**5\/15 + 316*o**4\/5 - 37446*o**3\/5.\nAnswer: -2*o**3*(o - 237)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 589 divide 1548954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10795 - -6?\nAnswer: 10801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((3 - 1) + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05 - 0.35. Let z = -0.67 + -0.03. Let q = z + n. Sort 0.1, 2\/5, q in descending order.\nAnswer: 2\/5, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.512309 kilometers in meters?\nAnswer: 2512.309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 453415?\nAnswer: 5, 29, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 5 - 1)*(-3 + 5 - 3) + (-1 - 4 + 4)*(1 + 2 - 5))*(0 + 0 - g).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/27 and (4\/6)\/((-315)\/(-609)).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z + 80*z**2 - 84*z**2 - 3*z + 6*z. Let t(i) = 9*i**2 + 3*i. Let p(f) = 18*f**2 + 6*f. Let y(w) = 4*p(w) - 7*t(w). Calculate -5*b(m) - 3*y(m).\nAnswer: -7*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**4\/7 + 22*i**3\/7 + 815*i**2\/7 + 6408*i\/7 + 14256\/7 = 0.\nAnswer: -9, -4, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1325597*c*g**3*p - 63*c*g*p - 2*g**3 - 5*g**2*p + 79*g*p wrt g.\nAnswer: 7953582*c*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jgfffrygfyg. What is prob of picking 2 y and 1 j?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 6, 0.4 in decreasing order.\nAnswer: 12, 6, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*y - 5*y. Suppose 12 = -y*o + 14. Solve 3*p - o = p - 3*h, -4*p = 5*h - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a - 7. Let c be t(-3). Suppose 0 = c*w + 16 - 24. Solve 5*z - 4*z + w = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**6\/120 + 7*t**5\/30 + t**4\/8 + 7*t**3 - 88*t**2 - 1. Let k be n(-14). Solve 2*y - 2*v = k, 6*y + 2*v = y + 35 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -6*u**2 + 2*u. Give l(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78.5 * -3.\nAnswer: 235.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -6*r**3 + 29*r**2 + 26*r + 1. Does 7 divide i(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -4. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 8. Let l(u) = -49*u - 2647. Let i be l(-54). Let a(o) = -o. Calculate i*y(x) + 3*a(x).\nAnswer: -3*x - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.02, -0.1, 0.011?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-2*sqrt(306) + sqrt(306))\/(sqrt(6) - sqrt(672)\/sqrt(7)))\/(-6*-6*(sqrt(48)*2 + ((sqrt(18)*-1)\/sqrt(6) - sqrt(3)))).\nAnswer: -7*sqrt(17)\/648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 0*l - 6*l)*(-1 - 4 + 4) + 28333 - 28333 - 157*l + (0 + 0 + 2)*(-l + 6*l - 4*l)*(-3 + 2 - 1).\nAnswer: -158*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 1\/2, 0.4, -10503 in increasing order.\nAnswer: -10503, -27, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 836, 1685, 2534, 3383, 4232?\nAnswer: 5081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4411, 4463, 4549, 4669, 4823, 5011, 5233?\nAnswer: 5489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) 0 (b) 0.4 (c) 63410\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*d + 54. Calculate the remainder when 56 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5 - 571*q**4 - 2296*q**3 - 2300*q**2.\nAnswer: q**2*(q - 575)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -104\/144485 or -1?\nAnswer: -104\/144485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.22684 + 0.02684. Sort b, -0.3, -7, -1.\nAnswer: -7, -1, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (-5 + sqrt(18)))**2 - (sqrt(2) - sqrt(8)\/(sqrt(12)\/sqrt(3))).\nAnswer: -20*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 3*y - 4756, -14*y = -3*o - 17*y + 2850. List the prime factors of o.\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 303 - 304. Let i(q) = -33*q + 12. Let a(t) = 3*t - 2. Let w(z) = j*i(z) - 6*a(z). Let o(m) = m**2. Give w(o(x)).\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 1 - (0 - 1). Suppose 11 = m*y - 1. Suppose -2*g = q - 1, 5 = 3*q + 2*q + 3*g. Solve q - y = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*u**2 - 7832*u - 5285118?\nAnswer: 36*u - 7832","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -77 - -28. Let x = p + 53. Let l(c) = -3*c. What is l(x)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 665237451 to the nearest integer?\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -1) + (-3 - (-5 - -11))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6197 from 0.07.\nAnswer: -6196.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + w + 900 = 0. Suppose -2*k + 720 = 14*k. What is the greatest common divisor of w and k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*j = -15. Suppose -j = -3*q + 2*q. Suppose q*b + 212 = 3*p - 0*b, 0 = 5*p + 5*b - 340. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 6. Let y = 569271 + -569276.00006. Let x = y - q. Round x to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1185 or 2?\nAnswer: 0.1185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1407888 and 2160.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 255 by -255.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13970510 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p + 58 = 2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -103.6 + 92. Let b = j - -10.6. Let u = -53 - -52.5. What is the fourth biggest value in u, 0.2, b, -2\/11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from ettt?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*n**2*v**2 - 3*n**2 + 30*v**4 + 2*v**3 + 9 wrt v?\nAnswer: 4*n**2*v + 120*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 242784322 and 484.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 2 - -2)*5. Calculate the greatest common divisor of b and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 52662, 105339, 158018, 210699, 263382?\n\"Answer: k**2 + 52674*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6300192 to the nearest integer?\nAnswer: 2510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 10:17 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-18)\/15)\/(-21 - 10676\/(-510)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-24)*-8)\/(16\/24). Solve 4*g + 41*a = 39*a - 2, g + a - p = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.35, -9, -2, -0.5?\nAnswer: 1.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4 = 0, -3*u + 2*l + 12 + 17 = 0. Let c be 31\/(-4)*16\/(-12). Let z = u - c. Which is bigger: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 10. Let r(s) be the second derivative of -s**4\/12 - 3*s**3\/2 - 7*s**2\/2 + s + 1. Give r(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -1001001010?\nAnswer: -1001001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 866, 858, 848, 836, 822?\n\"Answer: -w**2 - 5*w + 872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*l + 11*l - 1254359 = -10*l. List the prime factors of l.\nAnswer: 17183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/2*20\/5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.6 times 98.45?\nAnswer: 748.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0515917 micrograms to tonnes.\nAnswer: 0.0000000000000515917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 5. Let u be b(3). Let m be u\/(-11) + 2\/(-11). Let d = 4448\/11 + -404. Is d equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 1, 2, -84.\nAnswer: -84, -5, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - r - r)*(-2 + 106*r**2 - 105*r**2 - 3).\nAnswer: -3*r**3 + 15*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -2 + (-3 - -1 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 3*d + 10. Let n = 0 + -7. Let j(g) = -g**2 - 2*g + 11. Let a(s) = n*j(s) + 6*t(s). Is a(9) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00072132 to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 221917784 + 3?\nAnswer: 221917787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/5))**(-4\/5)\/(q*(q*q*(q**(-2\/7)*q)\/q)\/q*q*q**4))\/((q*q\/((q**(2\/3)*q)\/q)*q**(-1\/6))\/(q**(-1\/3)\/q**(2\/9))) assuming q is positive.\nAnswer: q**(-25567\/3150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pk when two letters picked without replacement from {b: 1, p: 1, i: 1, t: 1, k: 1, d: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2 = 10. Suppose -3*x + 6 = p. Let m = 27699 - 27691. Sort -1, x, m in decreasing order.\nAnswer: m, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 6*a**5 + 149*a**4 + 1416*a**3 + 6264*a**2 + 12096*a + 6480 = 0.\nAnswer: -6, -5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 6:29 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a decade in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556601275.\nAnswer: 5, 73, 113, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3032, -4, 12 in increasing order.\nAnswer: -4, 12, 3032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2439886 and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493 - 827 = -34*h + 1094 for h.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 3*f + 171*f**3 - f - 15 + 24*f**3 + 35.\nAnswer: 195*f**3 + 2*f + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 250 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 1 = 7, 3*y = -2*m - 8. Solve 4*o - f + 1 = -1, 0 = -o + m*f - 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.52 - -19\nAnswer: 20.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6200902 and 2540?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/2 - (2 - 1). Suppose -2*l = -240 + 64. Suppose 83*u + 25 = l*u. Solve r = -m + u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90 by 45.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 657*h + 14416. Give x(-22).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7605, 15206, 22805, 30402, 37997?\n\"Answer: -f**2 + 7604*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**3 + a**3 - a**3 + (-2*a + 1 - 1)*(0*a**2 + 2*a**2 - a**2) + (3*a + 3*a - 3*a)*(-11*a**2 + 6 - 8 + 2*a**2).\nAnswer: -28*a**3 - 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a**2 - 83*a + 215. Calculate z(22).\nAnswer: 1293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*2\/(-320)*5*(-5)\/10.\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.4 + 3.8. Let l = 4 - s. Let p = 2.59999818 - l. What is p rounded to seven decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 470\/(-45) + 84\/189.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73042*b - 7 + 9 - 63015*b.\nAnswer: -136057*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*a**2*i*p**2 - 30*a**2*p**4 - a**2*p**2 + a**2 + 2*a*i*p**4 + a*p**3 wrt p.\nAnswer: -720*a**2*p + 48*a*i*p + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.42414 grams to micrograms.\nAnswer: 72424140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 1048 + 2*v - 1048. Let t(w) = -36*w + 1. Give d(t(k)).\nAnswer: -72*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 287982120 divided by 10685.\nAnswer: 26952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a decade in months?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (245\/(-2520))\/((-49)\/28)*(12\/3)\/12\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 6*p - 12. Let y(f) = 0*f**2 - 2*f**2 + 3*f**2 + 4*f - 5. What is the units digit of y(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 5:32 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + k**2 + 3*k - 4. Let f be (0 + -2 - -3)*4. Let v be p(f). Suppose 2*a - v = 58. List the prime factors of a.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 175 = -d, 0 = -d - 4*m + 151 - 6. List the prime factors of d.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*g**3 + 5*g**3 + 4*g + 8*g**3 + 7*g**3 - 5*g**3 + 5996 + 130*g**2 wrt g?\nAnswer: 3*g**2 + 260*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23\/68 + 3\/34. Suppose -3*c + 91 - 54 = 4*h, -4*c + 24 = -h. Sort h, 5, y.\nAnswer: y, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h**2 + 17*h**2 + 10*h**2 - 2*h**2 - 10*h**2.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74368 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 13*h + 13. Let w be g(3). Suppose 5*z - 23 = -3*s, -3*s = s - 4*z - w. What is the greatest common divisor of 154 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, b: 1, u: 2, m: 2, a: 10, y: 3}. What is prob of sequence vumb?\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 34*h = 34060. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 17*d**2 - 3*d. Let f(m) = 3*m. What is y(f(c))?\nAnswer: 153*c**2 - 9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4*1.7\nAnswer: 6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhhyhhhhhhhhh. What is prob of sequence hyh?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1959, -9, 0.05, -0.18?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 24*r**2 - 5*r. Let t(y) = -25*y**2 + 4*y - 1. Let g(h) = -4*p(h) - 5*t(h). What is the first derivative of g(k) wrt k?\nAnswer: 58*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from {w: 7, x: 3, o: 1, u: 2, c: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -162 + 169. Solve 4*f + 11 = -n, 0 = 4*f - 2*f - n + d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*g**4*i**3 + 2*g**4*i*u**2 - 2*g*i**3*u + 2*g - 10*u**2 wrt g?\nAnswer: 84*g**2*i**3 + 24*g**2*i*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1584004834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from udjduuuueaaab. Give prob of sequence duu.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -403798 rounded to the nearest ten thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3 + (sqrt(1872) - (sqrt(1872) - (sqrt(1872) + 0))) - (5 + -1 + -1 + sqrt(1872) + sqrt(1872)))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + ((sqrt(76)*1 + sqrt(76))*4 - sqrt(76)) - sqrt(76))\/(sqrt(4) + 4*2*sqrt(4) + sqrt(4) - sqrt(4)))**2*-4*-5.\nAnswer: 18620\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -690 - 144 = -3*k. Let v = k + -323. Put v, 5, -1, -5 in decreasing order.\nAnswer: 5, -1, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-385)\/84)*(-4356)\/(-264).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -449 = -3*b + 2*w, -5*w - 1 = 2*b - 313. List the prime factors of b.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 19*y - 207. Determine m(-7).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -13. Suppose -2*h = 4*w - 0 - 2, 0 = 5*w + 3*h. What is the smallest common multiple of a and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, -91, -100, -113?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 179 + -261. Let i = 3 + 0. Is (-3)\/(i\/z) - -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 10544, -0.5, -3, 8, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 3, p: 1, w: 2, c: 1, o: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**2. Suppose y + 1 + 13 = 0. Let u = y + 7. Let o(w) = -5*w**2. Give u*q(s) - 4*o(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 + (-124092)\/(-30) + 12\/20 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-1) - (-2886)\/715. Which is the second smallest value? (a) 1 (b) -0.1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 86 + 577?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - z**2 + 2*z + 191. Is d(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.2 - -7.0612413\nAnswer: -3.1387587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-52)\/(-20) + (-4)\/(-10). Suppose 5*d - 4*r + r + 9 = 0, -k*d - 15 = -5*r. Suppose f - 6 + 1 = d. Solve -2*z - 2 = f*t, 5*z + 5 = -2*t - 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from {o: 7, u: 3}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dydddddddddddydydyd. What is prob of sequence ddyy?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tnntntttnnnt. Give prob of picking 4 t.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -2. Let c(p) = 64*p**3 + 3*p - 2. Let r be c(1). Suppose -4*h - r = -5*s, 0 = 3*s - h - 4*h - 52. Solve -l*d = -s*d + 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {b: 4, c: 3, f: 7, w: 4, x: 1, h: 1}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, o: 1, e: 1, j: 2, r: 1, t: 1}. What is prob of sequence tzjr?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77\/22 - 5 - -3.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 1 - 316\/(-8))*(-53)\/(4558\/172).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106646 (base 8) to base 3.\nAnswer: 1211202001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -9*m**3 + 8*m**2 + 28*m + 187. Calculate a(-9).\nAnswer: 7144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -1\/20*h**4 + 22 - 1\/10*h**2 - 6\/5*h + 4\/15*h**3. Factor y(s).\nAnswer: -(s - 3)*(s - 2)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*h = 18*h - 566 - 449. Calculate the highest common divisor of 1799 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 152, 308, 472, 644, 824, 1012, 1208?\nAnswer: 1412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 108595 - 108590.2889. Let b = j - 9.71. Let g = b - -5. Round g to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 + 19*b - 27. Let q be o(-11). Let d(r) = -r**2 - 5*r + 71. Let c be d(q). Solve 2*x = -2*x - 5*k - 4, -c*k = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5 - 25*k**4 - 867*k**3 + 22761*k**2 - 21870*k = 0. What is k?\nAnswer: -30, 0, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + 2*((5 + (sqrt(363) - (-4 + sqrt(363))) - 1*5*sqrt(363)) + 4))**2.\nAnswer: -222174 + 35640*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*f - 1957 + 2815 = 0 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4385 equal to -10965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5718 = 3*z - 53508. Let j = 42887 - 67317. Let l = z + j. Round l to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z + 1. Let u(q) = 12*q - 11. Let g(d) = 22*r(d) + 2*u(d). Let n(i) = -7*i**2 + 3*i. What is n(g(h))?\nAnswer: -28*h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 493372433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/7 - 625 - -6. Let d = l - -1543. Is 16 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-126))\/((-29)\/((-3132)\/(-24)))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -367*r**3 - r + r**2 - 148*r**3 - 38*r**3 + 43*r**3 - 1 to d*r**2 + p*r**3 + l + c*r and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -90894.217563 and -8.\nAnswer: -90902.217563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-8)\/(-92) + (-17125)\/(-115) is divided by 40.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.93 (b) 0.1 (c) 1465 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 159116504 and 8344?\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 49\/21 - (-2)\/(-6). Suppose f*g = -3*g. Solve 3 = -g*p - p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -365436*x**6 + 35*x**4 - 50909*x**2 - 51*x + 1 wrt x.\nAnswer: -43852320*x**3 + 840*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 213112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 226*s**3 + 17*s + 26160 wrt s?\nAnswer: 678*s**2 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 930*n**4 - 5*n**2 - 933*n**4 - 5*n**2 + (-2*n**4 + 3*n**4 + n**4)*(4 - 3 + 3).\nAnswer: 5*n**4 - 10*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1231 = 4*t + 1235. Which is the second smallest value? (a) -3\/7 (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1283*b + 1495*b - 3604 = 0 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 l when three letters picked without replacement from ylylt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*y - 5 = -151*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 12 = 2*c, -2*p + 3*c - 26 = -3*p. Let n = 13 + p. Let f = 21 - -3. What is the least common multiple of f and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -16. Factor 15*o + z*o**2 + 2 + 2 - 2*o + o**4 + 7*o**2 + 7*o**3.\nAnswer: (o + 1)**3*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*n = 31532770 - 223087870. Round n to the nearest one hundred thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*t**3 - 24*t**3 - 22*t**3)*(0*t + 2*t + 0*t) + 0*t**4 + 5*t**4 + 0*t**4 - 2*t**4 + 8*t**4 + 11*t**4.\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + -9 - -2 - -27?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*c - 18433 - 18998 = -6531 for c.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide ((-14952)\/18)\/(16\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4225*j + 262070. What is q(-62)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -25261, -50476, -75691?\n\"Answer: -25215*g - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 131312\/207156 - ((-8)\/6 + 2)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 11:51 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (247\/(-19) + -18 - -72).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 175*u - 176*u - 1. Is u at least as big as -2\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2417*p + 2398*p + 2401*p - 12008*p + 2405*p + 2414*p.\nAnswer: 27*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/((-2)\/(-16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 1:22 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.07, 5\/3, -1, -23, -1\/207, 0.4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 27588?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3602973 and 44?\nAnswer: 14411892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 - 4*a**4 + 2*a**2 - 1 + 4*a**4 - 2*a**3 + 3*a**4 as d*a**3 + u + y*a**4 + k*a + f*a**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -280*v - 498*v**2 - 1875 + 562*v**2 + 2163 + 2*v**3.\nAnswer: 2*(v - 2)**2*(v + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**3 + 3*d**3 - d**3)*(151 + 624 - 185).\nAnswer: -590*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 135*w + 1858. Calculate z(-14).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/12 and (-1310)\/8*(-57)\/(-855).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 12*n + 6. Let z be d(8). Let q = z - 35. Solve q*a + 10 = x - 8, 24 = -3*a + 3*x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1331) + -1).\nAnswer: -5 + 55*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/11)\/((-90)\/495). Factor 3\/7 + 9\/7*n**2 + 9\/7*n + 3\/7*n**w.\nAnswer: 3*(n + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*v + 123 + 127. Solve -28 = -3*l + v*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1261?\nAnswer: 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -64954.661 to the nearest ten.\nAnswer: -64950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -l**4\/12 + 5*l**3\/3 + 79*l**2 - 2. Let k(i) = 1. Give -c(z) + 3*k(z).\nAnswer: 2*z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22377, -89205, -200505, -356283, -556545?\nAnswer: -801297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -760158.\nAnswer: 760161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -28*a - 646. Let g be c(-23). Sort 6, 0, 4, g.\nAnswer: g, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.29 in 2\/15, 3, -2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of p**4\/4 - 2*p**3 + 5*p + 2. Let w be n(7). Suppose 2*y + 58 = 4*f, 0 = 4*f + 4*y - w + 14. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 59 + 733*f**2 - 56 - 106*f**2 in the form g + h*f + l*f**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 579 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 (n**(-1\/5)*n*n\/(n\/n**(-6)))**23 assuming n is positive.\nAnswer: n**(-598\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*y = 6122 - 5182 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/3 - 961*t**2\/6 - 724*t\/3 + 482\/3.\nAnswer: (t - 482)*(t + 2)*(2*t - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 0 + 0*d + 11\/12*d**4 + 9*d**2 + 0*d**3. Let g(s) = -s. Give l(g(m)).\nAnswer: -22*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*x = 658 - 511 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 192778602701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70048 and 89848?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72*f + 162*f - 6 - 85*f to h*f + j and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -l - 0. Suppose -s = -l*s + 21. Suppose 2*v - s = 3. Solve -5*z - 4*m = 13, -z + 2*z + v*m = 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*n + 19. Let i be -1*(-2)\/n*1. Suppose -4*b + o = -0*b + 9, 14 = b + 3*o. Which is bigger: i or b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-3) + (-132)\/(-9). Let i(u) = 28 - 15 - o. Let w(a) = a + 1. Let z(b) = -b - 5. Let p(y) = -w(y) + z(y). Calculate -12*i(h) + 2*p(h).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4287, -5198, -6107, -7014, -7919?\n\"Answer: w**2 - 914*w - 3374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.225 - 0.225. What is the closest to 27 in b, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 221112?\nAnswer: 221112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12421400 to the nearest integer?\nAnswer: 3524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-218)\/436 - (0 + (-19)\/(-2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2. Let p(d) = -48*d + 4. Let x(m) = -m - 2. Let w(v) = 2*p(v) + 4*x(v). Give b(w(t)).\nAnswer: 20000*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95 + 390*r + 855*r + 95.\nAnswer: 1245*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10177, -20266, -30261, -40162, -49969, -59682, -69301?\n\"Answer: 47*k**2 - 10230*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6*m - 2*a - 270 = 0, 2*m + 3*a - 127 = 0. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**5 + 58*d**4 - 62*d**3 - 58*d**2 + 60*d = 0.\nAnswer: -30, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20904 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: Suppose 2*p = -3*x - 40, 4*x - 100 = 5*p + x. Let z be (8\/(-10))\/(4\/p). Let r(v) = -2*v - 2*v + 2*v + v**2. Determine r(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 410\/(-15))\/((-4)\/6). What is the greatest common factor of 287 and k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 3*w - 8 = 0, v - 95*w + 99*w - 17 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.4896 take away 992978.41?\nAnswer: -992948.9204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 40 = 5*h. Let n(i) = -7 - 1 - 1 - 3 + 2*i. What are the prime factors of n(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l - 38. Let b be k(17). Let w be 15 - (-10 - -2 - b). Let x = 10 + w. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1406 - 1721 = 64*n - 1207 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + o + 267. Determine x(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/14)\/((-88)\/(-99)) + (-2)\/(-8).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -2 + (sqrt(500) - ((sqrt(500) + sqrt(500)*1 - sqrt(500)) + sqrt(500))*-1 - (-4 + -1*sqrt(500)) - 3*(sqrt(500) + sqrt(500) + -1)*-2))*-2)**2*2.\nAnswer: -15360*sqrt(5) + 1024288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 + 142*n - 11174. Determine u(-119).\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v + 3677 = -3862 + 6987 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2597931.\nAnswer: 3, 7, 43, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/155, -0.0351, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 8. Suppose 5*g + 30 = 3*i, 5*i + 2*g = -68 + 87. Suppose 16*s = -i*s + 42. Solve 0 = -3*w + n - s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2275 and -2354.\nAnswer: 5355350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -254 + 130. Let d = 122 + z. Let t(i) = i**3 + i**2 - 3*i - 3. Give t(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59 + 5*s**2 + 62 + 56*s**3 - 179 + 61 to k*s**2 + t*s**3 + o + p*s and give t.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p**2 + 697248 + 3*p - 3*p + 693524 - 1390772.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 193 - 79. Suppose 5*g + m = 349. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17515a (base 15) to base 5.\nAnswer: -242142220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-5 + 3 + (-198)\/(-98)). What is the greatest common divisor of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7)**(-38) assuming a is positive.\nAnswer: a**(-266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22665 is divided by 199.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 23*t + 113 = 182 + 269 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2665 = 4*q - 151. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4734905, 4734906, 4734907, 4734908, 4734909?\nAnswer: 4734910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/((-5577)\/91)*(-12)\/42.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/2 - (3 - (4 - 39)). Let x = 38 + m. Find t such that 2*t**2 - 5\/3*t + 1\/2 + 1\/6*t**4 - t**x = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52787 (base 11) in base 13?\nAnswer: -28c65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**3 - 25*v**2 + 5*v. Let r(k) = k. Determine g(h) - 6*r(h).\nAnswer: -3*h**3 - 25*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-10))\/(8\/10).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 44*p**2 + 357*p + 53. What are the prime factors of a(-55)?\nAnswer: 13693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 6 = 2*d, 0 = -5*c + 2*c - 45024 + 45018 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3*9\/12*-1*176\/(-22)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 9:35 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8310, -7921, -7532?\nAnswer: -7143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 44. Calculate the remainder when p is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 323016 - -783?\nAnswer: 323810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3 = -12*h + 15*h, 4*h + 2*d - 32 = 0. Let w = -4 - -3. What are the prime factors of (-3 - -3) + w - -6*h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - (9 - 3))\/1 - 2. Suppose 4*q = -4*u - 52, 0*q = q - u + 3. Which is greater: q or y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (sqrt(684))**2)*-3 + 5 + sqrt(57)\/sqrt(3) + sqrt(19).\nAnswer: -2047 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -10101110101111110010?\nAnswer: -10101110101111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22.74 + -23. Let n = z - -0.36. What is the nearest to n in -2\/11, -4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1915 or 1913?\nAnswer: 1915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*k + 5*k**4 - 17*k - k**2 + 2*k**4 to o*k**4 + m*k**3 + z + l*k**2 + f*k and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + y**2 - 2*y + 150. Let m be w(0). Let j = -90 + m. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.5 in 1\/3, -99, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 36 - 72 = 0. Let f be 14\/4 - (-1)\/2. Suppose 0 = -2*x - f - 2. Which is the third biggest value? (a) w (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96 - (-17 + 14)) + -9 + 8.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**(1\/5))**(-34))**(1\/8))**3)**(-1\/13) assuming m is positive.\nAnswer: m**(51\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -25 + 5493a?\nAnswer: 54915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9440\/(-16520)*(-7)\/106.\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 8 - 16 = 0. Calculate the common denominator of -8\/11 and (-6)\/(-8)*(-17)\/v.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + p + 50 = 0. Let q = -8 - p. Solve q*l = -3 + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 66, 60, 54, 48?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2092)\/(-8) + -1)*(4 + -2). Suppose 0 = -56*c + 55*c + r. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6282 + 3?\nAnswer: 6285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 20*z - 366*z**2 + 340*z**2 - 10 as h*z + a + l*z**2 and give l.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.016487*3.\nAnswer: -0.049461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74955?\nAnswer: 3, 5, 19, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -r - 4, -10*v + 6*v - 12 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2707802 to the nearest integer?\nAnswer: 1646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -24. Let u be (5250\/63)\/(1\/x). Let k = -193 - u. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 + (-3 + 2)*(-9 + 4) is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**3 + 0*h**2 + 2*h**3 - 4*h**2 + 0*h**2 - 4*h - h**2 to the form i*h**3 + r*h + j + k*h**2 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 12, 5, -3.\nAnswer: -3, 5, 12, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 133103778811.99999119 - 133103780158. Let y = -1346 - n. Round y to 7 dps.\nAnswer: 0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/9)*(g*g*g*g\/g**7)\/g)\/(g**(-5)*g**(2\/23)*g)*(g**12\/(g*(g*g**(7\/3))\/g))**(-25) assuming g is positive.\nAnswer: g**(-44914\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(1*(3 + -2)). Let z be ((-3)\/(-2))\/(54\/8). Which is smaller: z or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2038589335 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0*s + 25 = 0. Suppose s*c + 4 = -4*f, 2*f = f + 5*c + 24. Suppose 0 = -r - i - 6 + 13, -44 = -f*r + 4*i. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 16. Let q be -3 - (12\/4 - h). Let k(a) = -22*a + 5. Is k(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 998?\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 22, 448, -2, 1.\nAnswer: -39, -2, 1, 22, 448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -471, -945, -1419, -1893, -2367, -2841?\n\"Answer: -474*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 154, 158, 170, 196, 242, 314?\n\"Answer: y**3 - 2*y**2 + 3*y + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1728.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 565792390?\nAnswer: -565792390.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*d - 405 + 863 = -637. Solve -4*u = -5*n - d, n + 3 = 3*u + 2*u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 894.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4601*s**3 - 20*s + 22 wrt s.\nAnswer: 27606*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 81\/(-15) - 6\/10. Let j(y) = y**3 + 7*y**2 + 6*y. Let z be j(c). Let r(w) = -w**3 + w + 5. What is r(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u + 3*u**2 + 3 - 4*u + 4*u - 2*u**2. Let m be i(-3). Let q = 3 + -2. Solve -q = k - m for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 12:53 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1039\/8 or -130?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(240)\/(2*sqrt(10)) + sqrt(24) + -1*sqrt(96))\/(sqrt(144)\/((sqrt(48)*-2)\/sqrt(4))))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-3)*27\/162. What is the closest to 1\/2 in r, 1\/4, -4\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96 + 104 + -104 - -52?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -721398 (base 13) to base 12\nAnswer: -a82936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + 4*a + 7*l - 125, 0 = 5*a - 529*l + 530*l - 13 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: 6880\/416 + (-114)\/(-247) + -51\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 44063 to the power of 1\/2, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12806841?\nAnswer: 3, 433, 9859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 11011?\nAnswer: 10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56.483 - -1.517. What is the third smallest value in 0.4, 0.02, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114000 rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 51\/(-2 + (-36)\/(-8) - 1). Let d = y - 96. Let f = 138 - d. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 41*y**2 - 113*y - 45. Calculate w(38).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1522684 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 265 divide 68813345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 1 + -1 - -3. Let l(v) = -g - v + 2 + 3*v. Let x(r) = -r. Give x(l(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -14. What is the biggest value in p, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (((-16)\/3)\/(-8))\/((-5)\/(-12)*638\/870). Factor -b - 32\/11*s + 2\/11*s**3 - 6\/11*s**2.\nAnswer: 2*(s - 6)*(s + 1)*(s + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*s**3 + 0 + (0 + 0 + 5*s**2)*(79 + 65 - 124)*(-2*s - 27 + 27).\nAnswer: -198*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5298*f**2 + 209*f - 3377. Is j(14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)*-1)\/sqrt(3) - ((sqrt(2)*2*5)**2 - (0 + sqrt(10)\/sqrt(5))).\nAnswer: -200 - 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 623b (base 13) to base 11.\nAnswer: a217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a centimeter in millimeters?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -0.073.\nAnswer: -0.073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2336 - -3?\nAnswer: 2342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -25*l - 44 + 4*l - l**2 - 3*l + 8*l - 5*l. What is o(-19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/4*2 + 1\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8343, -13328, -18295, -23238, -28151?\n\"Answer: j**3 + 3*j**2 - 5001*j - 3346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/((7\/10)\/1*4620\/(-4312))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33013.00000080545 - -33013. What is y rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.09 - 3.88. Let q = w - -4. What is q rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -25*c**3 - 13*c**2 + 8. Let o(g) = -28*g**3 - 11*g**2 + 9. Let y(q) = -8*o(q) + 9*u(q). Calculate y(-29).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.3 + 0.3. Which is the second smallest value? (a) -1 (b) j (c) -232\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -7. Let n be (x\/2)\/((-1)\/(-2)). Solve 3*b - 6 = -3*z, -5*z + 3*z + 9 = n*b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c + 18. Let v be j(5). Solve 0 = -v*k + 15, 0 = 3*x - 7*x + k - 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 5*s + 3*g, -21*g + 6 = 3*s - 18*g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8807.904g to milligrams.\nAnswer: 8807904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 35 + 8c83?\nAnswer: 8cb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 54, 113, 172?\n\"Answer: 59*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0 (b) -1\/2 (c) -16\/3 (d) 1037393 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -5 - 0) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 5. Suppose 20 = z - q + 4*q, 32 = 3*z + 2*q. Let g be o(z). Let j(r) = -r**2 - 6*r - 4. What are the prime factors of j(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 76\/266 - 2\/(-7). Let -2\/7*w**2 - p + 6\/7*w = 0. Calculate w.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4092 divided by 44?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/82, 7, 0, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ypy when three letters picked without replacement from {e: 1, y: 1, v: 3, w: 1, r: 5, p: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14 and 222?\nAnswer: 3108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 24. Suppose 0 = -s*j - 4*c + 148, 0*j = 5*j - 3*c - 134. Let i be ((-9)\/((-27)\/(-12)))\/((-1)\/1). Calculate the greatest common divisor of j and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence inq when three letters picked without replacement from {d: 4, n: 6, i: 2, q: 4, f: 1}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306 = -7*p + 51. What is the highest common divisor of 34 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4 + 864\/(-64) - -5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + -1648.\nAnswer: -1647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1488499198 to 3 decimal places.\nAnswer: 0.149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 + 0)*(2 + 5 - 5)*(-10 - 11*h + 10 + h + h - h + (h + 4*h - 3*h)*(4 - 3 - 3)) - 3*h + 4*h - 3*h.\nAnswer: -114*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -426*o. Let y(w) = -2*w**2. Give t(y(c)).\nAnswer: 852*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 976 - 190 = 5*d, -2*d = 2*b - 300. Suppose -3*r = -2*n + 81, d = 4*n + 2*r - 0*r. Does 18 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -79602084*n**2 + 571008*n - 1024 = 0.\nAnswer: 16\/4461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -55*r**5 + 8*r**2 + 7*r - 6. Let n(i) = i**5 + i**2 + i - 1. Let p(b) = -g(b) + 6*n(b). Find the third derivative of p(c) wrt c.\nAnswer: 3660*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -172 - -156. Let d(c) = -c**2 - 16*c. Let x be d(u). Solve -l - l + y = -11, 4*y + 4 = x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2843838280?\nAnswer: 2, 5, 71095957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 o when two letters picked without replacement from asobp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**3 + 22*y + 1491*y**2 - 1492*y**2 + y**3 to the form n + c*y + u*y**2 + z*y**3 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 128 = 9*b - 5*t, -3*t = 5*b - 192. What is the remainder when 1618 is divided by b?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 76413, 76221, 76043, 75885, 75753?\n\"Answer: u**3 + u**2 - 202*u + 76613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1779 + 12618. Suppose v - b = -5*b + 10829, -v + c = 2*b. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -1, 388\/9 in descending order.\nAnswer: 388\/9, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 6*c**3 + 29*c**2 - 2*c - 8. Let t(l) = 2*l**3 + 14*l**2 - l - 4. Give 2*f(d) - 5*t(d).\nAnswer: 2*d**3 - 12*d**2 + d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13111244324 + 23?\nAnswer: -13111244301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -79, -91, -101, -103, -91, -59, -1?\n\"Answer: g**3 - 5*g**2 - 4*g - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/(s\/(s**(4\/7)*s)*s*s))*s*s\/s**1*s*(s*s**(2\/9)*s)**(-12))**(-31) assuming s is positive.\nAnswer: s**(14477\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 + -34. Suppose 5*b - 2*u - 88 = 0, -7*b - m*u = -2*b - 72. Let g(y) = 8*y + 40. List the prime factors of g(b).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -7*t**3 - 9*t**2 - t + 4. Let q = 8132 + -8127. Let l(r) = 4*r**3 + 5*r**2 - 2. Determine q*l(w) + 3*k(w).\nAnswer: -w**3 - 2*w**2 - 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283 = -4*w + u, -w + 70 - 92 - 75 = 5*u for w.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b. Let f(t) = -70*t + 85. Let j(a) = 5*a - 6. Let c(u) = -6*f(u) - 85*j(u). Determine m(c(i)).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 181589\/5 + -36136. Let m = v - 181. Which is the smallest value? (a) m (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1374, 3180, 5394, 8016, 11046?\n\"Answer: 204*l**2 + 1194*l - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6923*z - 9863 wrt z.\nAnswer: -6923","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2040501 (base 6) to base 13.\nAnswer: 35bb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -c**6\/80 - c**5\/40 + 3*c**4\/8 - 35*c**2 - 2*c. Determine y so that o(y) = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccpp when four letters picked without replacement from {c: 4, p: 3, u: 1}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 1877?\nAnswer: -1876.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 - 3*w + 4*w)*(12 - 5 - 165*w + 213*w) as g + o*w + l*w**2 and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2\/5 + 129276*i\/5 + 1033952\/5.\nAnswer: 4*(i + 8)*(i + 32311)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-6))\/(-3*3\/(-72)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06925 - 0.06919469. What is w rounded to six dps?\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108969379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 10 = -3. Solve 3*s + 1 + 5 = -q, -4*s = 3*q + z for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 3*p**2 + 4*p + 3. Let q be v(-2). Calculate the greatest common factor of 135 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3998 divided by 65.\nAnswer: 3998\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 4*a - 3. What is l(-3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -68 - 103 - -38.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -49, -67, -85, -103?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a**4 - 140*a**3 + 285*a**2 + 260*a - 140 = 0. Calculate a.\nAnswer: -7, -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 4*s**2 + 3*s + 3. Let t = -17 + 14. What is the units digit of w(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5227313700?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**4 + 0*o**4 - o**4 + (-1 - 2 + 5 + (0 - 3 + 1)*(1 + 0 - 3) + 3 + 1 - 3)*(41 - 13*o**4 - 41 + (3*o**2 + 0 + 0)*(-o**2 + 6*o**2 - 3*o**2)).\nAnswer: -50*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3a785e8 + -4?\nAnswer: -3a785ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421340 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 11:36 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10142, 39544, 88534, 157106, 245254, 352972, 480254, 627094?\nAnswer: 793486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 50\/(-12) - (-7)\/42. Let m = 1.2 + -2.9. Let y = m + 1.65. Sort k, -1\/3, y in descending order.\nAnswer: y, -1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = n - 24, -n + 4*n + 4*j + 8 = 0. Suppose -20 = -o + 4*a, 0 = -3*o - 2*a + 19 - 1. Let i(g) = -o + 8 - n*g. Let c(l) = 2*l**2. Calculate c(i(u)).\nAnswer: 32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 124527*q**3 + 130772*q**2 wrt q?\nAnswer: 747162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 3*j**2 + j - 7\/6*j**3 - 1. Let k(y) be the first derivative of v(y). Let i(w) = 8*w - 7. Determine -5*i(u) - 6*k(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1036*w + 47477*w**3 + 1036*w.\nAnswer: 47477*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 32793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6*f**3 + 5*f**2 - 3*f + 5. Let k(d) = 7*d**3 + 6*d**2 - 4*d + 6. Let p be 63\/14*8\/3. Let t be 1*(-4)\/(p\/15). Calculate t*k(b) + 6*i(b).\nAnswer: b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -38 times -82426\nAnswer: 3132188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -1\/43773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.67 - -8.57. Which is the nearest to 1? (a) -2 (b) -27 (c) p (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((133*d + 0*d - 33*d)*(-2 + d**2 + 2) - 1 + 1 + 2*d**3)*(2*d**2 + 4 - 4).\nAnswer: 204*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 + 56. Let x be k(-7). Let q be 7 + x\/(-21) + (-40)\/(-66). What is the second biggest value in 0, 0.4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-22 - (-19 + 6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*f - 10*f + 112*f + 33*f + 6 - 8.\nAnswer: 99*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*l - 2 = 0, -5*h + l + 18 = -l. Let x = 290\/123 + -42\/41. Solve -x - 2\/3*m**2 + h*m = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.05325kg in milligrams?\nAnswer: 20053250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 1450*r - 3047. Calculate i(2).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/30)\/(1\/(-26)). Let i = -24 + 16. Let d = i + o. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88.0522 - 302.9191. Let r = h + 356.875. Let g = r + -142. Round g to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ac6 (base 13) to base 5\nAnswer: 24402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(13) + -3) + 2 - (1 + sqrt(468) + sqrt(13)))**2.\nAnswer: 64*sqrt(13) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-6)*(128\/12)\/(-4). Let y = -0.6 + 1.4. Let w = y - 2.8. Sort 1, l, w in ascending order.\nAnswer: w, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -41, -53, -81, -131?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3111000 - 10302?\nAnswer: 3100032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - -278. Which is smaller: a or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 729*l - 129796. Calculate u(297).\nAnswer: -1492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(48\/52)*2*58. Suppose 4*b + 0*y + 961 = -5*y, 4*b + 982 = 2*y. Let a = b - q. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 2 - 3)*(2 + 2 - 3) + (-9 + 14 + 13)*(-2 + 0 + 1))*(3*u - 2*u**3 - 3*u).\nAnswer: 32*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 0)*(-22 + -1979). Which is bigger: -2002 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1420\/277 or 5?\nAnswer: 1420\/277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -75*v - 7. Does 4 divide w(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31061561, 31061597, 31061633, 31061669?\nAnswer: 31061705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + sqrt(567)) + -2.\nAnswer: -36*sqrt(7) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1126669 or -1126684?\nAnswer: -1126684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9.750697ms?\nAnswer: 9750697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (35\/4 + -9)\/(10\/(-355920))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -2. Let k = 2.48 - 0.28. Let m = 2 - k. What is the nearest to 1\/4 in p, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 315 + -316. Which is smaller: l or -123?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155707 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -8*p**2 + 6*p + 171. Let y(l) = 13*l**2 - 10*l - 342. Give -5*w(o) - 3*y(o).\nAnswer: o**2 + 171","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1303*i - 24 = -1301*i - 6*u, 0 = 3*i + 2*u - 19 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71 - -783\/11. Let d = -13 - -12. Let s = 7 - 11. Which is the closest to d? (a) s (b) -0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 19*q. What is m(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**3 - 1317004*i**2 - 108408196480*i - 325212736512 = 0 for i.\nAnswer: -164624, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 114*x**2 - 4 - 112*x**2 - 5*x**3 + 132*x - 130*x. What is g(2)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(2\/5)*d*d)*d*d**(-2\/3)*(d**(-1\/16)\/d)\/(d*d*d**(-15)*d))**(-47) assuming d is positive.\nAnswer: d**(-100063\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -105*m**5 + 6*m**2 + 170*m. Let y(s) = -s**2 + s. Let o(c) = 6*y(c) + z(c). Find the second derivative of o(r) wrt r.\nAnswer: -2100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 5. Suppose -4*a + 3*a - 2*z - 2 = 0, 5*z = -5*a - 10. Sort a, f, -4 in ascending order.\nAnswer: f, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 12*y**2 - 1847*y + 22139. Give v(12).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*f - 31 = 0, -3*x + 26 = 5*f - 4. Let k(y) = -y**3 + 8*y**2 - 1. Let m be k(8). Let s be -3 + 3 - 9\/3. Sort x, m, s in decreasing order.\nAnswer: x, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 0 + (7 + -7 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11*360\/(-1))\/((-7)\/2275). Suppose -y = 9*h - 0*h. What is h rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1 + sqrt(1088) - sqrt(1088))*4 - ((sqrt(1088) - (1*sqrt(1088) + 0)) + 4 + sqrt(1088) + 1))**2.\nAnswer: 144*sqrt(17) + 1169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 494*g**3 - 367*g**3 - 22*g**2 + 18*g**2 - 4 - 1 + 4 to s*g**2 + a*g**3 + m + k*g and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 2*j - 4. Let z be i(4). Let t = -31424 + 31424.5. Which is the third biggest value? (a) 5 (b) z (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrsrrsr. What is prob of picking 3 r?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 22049432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(243) + (sqrt(243) - 4*sqrt(243)*-2))\/sqrt(9) - (sqrt(27) - (sqrt(270)\/sqrt(5))\/sqrt(2))*2))**2.\nAnswer: 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 9 = 10*y. Suppose -3*w = -8 + 2. Find the third derivative of 2*o**y + 2*o**w + 4*o**4 + 3*o**2 wrt o.\nAnswer: 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12666*l - 48796 - 153860 = 0 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9*2*2\/3. Suppose -z = -8 - k. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13153 divided by 2\nAnswer: 13153\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - -23?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1100294?\nAnswer: 2, 13, 101, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o - 22*o = 10, -f + 1013 = -5*o. Suppose -f*p = -989*p - 6. Let j(w) = w**2 + 7*w + 7. Determine j(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(24\/(-4) + 49). Suppose 510 = 45*a - r*a. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 4:08 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4941366?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.034, -3, -4, 267, -0.01 in descending order.\nAnswer: 267, -0.01, -0.034, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -7. Let y = -1\/47115 + 92533867\/329805. Let h = 280 - y. Is h not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cl when two letters picked without replacement from lccnxeelllnlk.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 669000 and 669.\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -816*i + 109706 = -797*i. Calculate the remainder when i is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23398672*w - 23398658*w - 28. Determine u, given that 33\/2*u - 69\/4 + 3\/4*u**w = 0.\nAnswer: -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 4*m - 2030 + 2044, -3*f + 4*m = 2 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 13*j - 5. Give k(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(-4)*((-27832)\/2156 - -10).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1144019\/46 - -24872. Find the common denominator of h and 25\/28.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 2, o: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ft when two letters picked without replacement from tft?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.47 in 3, 3\/4, 1\/84?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 7 - 23, -2*g = 5*z + 10. Suppose -g*q + 30 = -3*q. Suppose -q*x = -5*x - 30. Solve -x*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 50104738 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3, -1118, -1 in descending order.\nAnswer: 3, -0.1, -1, -1118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -g, 5*l + 3*g = g + 76. Calculate the remainder when l is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70)\/(-12))\/7*540\/(-600)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 9*b**2 + 8*b + 2. Let c(j) = -17*j**2 - 16*j - 4. Calculate 6*c(a) + 11*d(a).\nAnswer: -3*a**2 - 8*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, -0.07, 4, -1\/15, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 9\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22\/3205 + 140911\/1416610. What is the common denominator of i and 23\/3638?\nAnswer: 47294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2 - 17*l**3 - 6*l + 14*l**3 - 3*l + 3*l + l**2. Let z(h) = 30 + 0*h**3 - 6*h - 28 - 4*h**3 + 2*h**2. Let g(m) = -5*i(m) + 4*z(m). Calculate g(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544 is divided by 113.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(272) - (0 + sqrt(272)*1)) + -1 + sqrt(272)*2)**2 + -1)*-5.\nAnswer: -5440 + 80*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*t - 16*t + 16*t as p*t + h and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjaj when four letters picked without replacement from jjjjaaa?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u**2 + 3. Let y be g(-4). Let w(z) = z + 43. Let l be w(37). Let h = y + l. Is 4 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2140 - -7290. Calculate the greatest common factor of j and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.139356946 rounded to 3 decimal places?\nAnswer: -0.139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n - 5. Let t(u) = -u - 1. Calculate h(v) + 2*t(v).\nAnswer: -v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.22093 rounded to the nearest integer?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/24 of a minute?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h + 41 - 41.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 9*y + 2. Let t be o(13). Suppose -19*w = w - 720. Suppose -w = -14*p + 8*p. Calculate the greatest common factor of t and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0\/k**4)\/(((k*k*k\/(k*(k**(-1)*k)\/k*k*k))\/k)\/(k*k*k\/(k*((k*k**10*k*k*k)\/k)\/k*k*k)*k)) assuming k is positive.\nAnswer: k**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21068*j**5 - 3*j**4 - 286674*j**2.\nAnswer: 1264080*j**2 - 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -125*t**6\/6 - 61*t**3\/6 + 3*t**2\/2 - 651*t. What is the second derivative of z(g) wrt g?\nAnswer: -7500*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b1 - 4?\nAnswer: 1ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -87.2 and 7.\nAnswer: -610.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4374, 17366, 39036, 69396, 108458, 156234, 212736, 277976?\nAnswer: 351966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lsc when three letters picked without replacement from {l: 1, c: 4, s: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 418*q**2 + 423*q**2 - 838*q**2 + 25 - 25.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76a6 (base 14) to base 4.\nAnswer: -11000302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 284238962 and 26?\nAnswer: 3695106506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21102102 (base 3) in base 4?\nAnswer: 1110203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 0. Let a(z) = 95*z - 480. Let o(l) = -24*l + 119. Let c(p) = 6*a(p) + 25*o(p). What is the remainder when c(3) is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -285, -568, -851, -1134, -1417, -1700?\nAnswer: -1983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101121201 (base 3) in base 12?\nAnswer: 4591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -g - 1. Let n(k) = k**2 - 6*k - 4. Let a be n(7). Suppose v = t + a*v - 8, 0 = 5*v + 15. What is the highest common factor of g and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/9*9*1. Is -24*(o\/9 - 2) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 11 (b) -36 (c) 2 (d) 0.02 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -3, -1, 1\/10, 374, 905, -0.3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -463.83 - -464.83. Let s be (-24)\/10 + 10\/25. Which is the closest to -0.2? (a) 2 (b) s (c) g (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126 = 45*t + 145 - 109 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 - ((-28)\/(-21))\/(4\/6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 18*w - 28. Give r(-21).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 14.8 (b) -0.2 (c) 0.2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12*((-126)\/48)\/(-3))\/((-1)\/(-2)). Let q(i) = 6*i**2 - 13*i - 13*i**2 - 29*i + 1 + 5*i**2. Calculate q(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.341 and 4?\nAnswer: -1.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -404*w + 410. Let f(d) = -403*d + 404. Let x(h) = 2*f(h) - 3*j(h). What is the derivative of x(z) wrt z?\nAnswer: 406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 15*o**2 + 15*o - 8. Suppose -4*u - 12*x = 140, 5*u - 31*x = -28*x - 49. Determine z(u).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.1 times -0.1\nAnswer: 0.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**3\/7 + 16*t**2\/7 + 4*t - 40\/7 = 0.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/6*-1*5\/((-5)\/1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18470 is divided by 1140?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -10*b + 35. Let g = -83 + 116. What is the lowest common multiple of g and (-10 + 4)*b\/(-2) + 0?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 12:14 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 2*h - 2*h**2)*(6*h - 4*h**2 - 6*h).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16114 = -2*i + 5508. Is i a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62205 - 62195. Let y(s) = 16*s**2 + s - 1. Let u be 2\/(-9) + (-22)\/(-18). What is the smallest common multiple of y(u) and m?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -25. Let c = 19 + m. What is the smallest common multiple of c and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 8 - 4 = 0. Suppose -2*z + 3*z - 25 = s*m, -2*z - m + 5 = 0. What is the least common multiple of z and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*i + 11. Suppose -2*j + v + i = 0, 3*v + v - 24 = -2*j. Suppose 2*h - 33 = -k + 5*h, j*k - 146 = -2*h. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10571\/36 + 589\/2. Calculate the common denominator of -7\/96 and p.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, 4, 8784?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 73487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56884384 and 1968?\nAnswer: 170653152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*sqrt(171).\nAnswer: -9*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**2 + 7*k**2 - k - 164*k**3 + 163*k**3)*(2*k - 4*k + k).\nAnswer: k**4 - 2*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -138. What is the tens digit of -5 + 1 - (w + -1) - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 46a010?\nAnswer: -46a009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -10852?\nAnswer: 1085.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15916 is divided by 999.\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 74*j - 74*j + 32*j**4 + (-4*j - j + 4*j)*(-2*j**2 - 3*j**3 + 2*j**2) as r*j**3 + c*j**4 + o*j**2 + z*j + a and give c.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62483837?\nAnswer: 13, 19, 252971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 2\/9 (b) -1 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 752316434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -574733 divided by 574733\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) -8.2 (c) -4.2 (d) -11 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4375\/(-28) - 2\/(-16)*2. Suppose -491 - 62 = -2*d + p, 1376 = 5*d + 4*p. Let u = z + d. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 20.13857 microseconds?\nAnswer: 20138.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**5 + 12*b**4 + 12*b**3 - 32*b**2 - 30*b + 36 = 0 for b.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (25704\/272)\/((2\/(-10))\/(644\/(-1150))). Determine i so that -m*i + 126\/5*i**2 + 0 - 3\/5*i**3 = 0.\nAnswer: 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c - 4 + 0*c + 7. Let u = -1 + 8. Does 10 divide y(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, -15020, -19660?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, f: 1, k: 2, j: 2, z: 2, r: 1}. Give prob of sequence kzzr.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 80, -5, 986, 1, 3 in increasing order.\nAnswer: -5, -3, 1, 3, 80, 986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/1496 and ((-646)\/(-88) - 7)*(-10)\/17?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -894, -4634, -11246, -20736, -33110?\nAnswer: -48374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**3 + 22356512*p**2 - 312990580*p + 1095466344 = 0.\nAnswer: 7, 5589114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-740)\/(-120) + -6)*((-2)\/1 - -1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 19459, 2\/3, 5?\nAnswer: 19459","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -l - 12. Let n = l - -1. Suppose -5*c + 46 = -3*p, 10 = 2*c + n*p - p. Solve -f + c = 2*v - 2, -5*v + f + 25 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2. Let g(s) be the first derivative of 5*s**2\/2 + 1211*s - 7072. What is b(g(h))?\nAnswer: 25*h**2 + 12110*h + 1466521","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**2 + 2*t + 9. Let c(h) = 5*h**2 + 3*h + 17. Let v(j) = -4*c(j) + 7*w(j). Let g be v(-4). Solve 1 + g = -2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/19 greater than or equal to 1\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 27*m = 169038. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5 + 12 - 2*q - 3*q + 4*q. Let o be u(14). Let a(b) = b - o*b**2 - 2*b + 21 - 8 - 8*b. Let h(z) = -z**2 - 4*z + 6. Give 4*a(v) - 9*h(v).\nAnswer: -3*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -61*r - 5418. Give z(-89).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s + 9*s**4 - 5*s**2 - 2*s**3 - 5*s**4 - 6*s**4 to k*s**2 + i*s**3 + p*s + u*s**4 + o and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 - 40.05. Let y = z + 0.05. Let f = 11\/3 - 34\/9. What is the third smallest value in y, -4, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y - 10. Let g be s(-6). Suppose g*x + 2*n - 5 = 3, -5*x + 2*n = 1. Let f be (-26)\/(-87) + (-2)\/6. Are x and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -16. Let v = s - 15. Suppose -v*u - u = 15. Put 10, -4, u in increasing order.\nAnswer: u, -4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -9*t**2 + 3*t. Let l(m) = m. Let i(k) = 6*l(k) - y(k). Let a(j) = -j. Give a(i(g)).\nAnswer: -9*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -7. Suppose 16 = 3*l - 5*z - 17, -3*z = 3*l - 9. Suppose 0 = -11*a - l*a. Solve -3*w - k - 2 = a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 36. What are the prime factors of w - -55 - -1*1?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 + -19 - (5 + -14)) + -10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -7, 3, 23, 53, 93?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*(-23)\/(-161))\/(5 - 4) + -43.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/50 and -1\/32076040.\nAnswer: 160380200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-3) + (691\/3 - 5). Calculate the least common multiple of 21 and f\/20 - (-3)\/8*2.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 56015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*(sqrt(374) - (sqrt(374) - (-1*sqrt(374) - sqrt(374)))))\/(1*sqrt(704)))\/(sqrt(144)\/(sqrt(128)*3)))**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1254091 - -0.095269\nAnswer: -1254090.904731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -114 and -9?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16614 + -16615. Which is the smallest value? (a) t (b) 4 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*c - 2992 = 0, 2*l = -2*l + 2*c + 5978. What is the smallest common multiple of 13 and l?\nAnswer: 1495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/9 - 640*l\/9 + 102400\/9.\nAnswer: (l - 320)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v. Let g(a) = -a - 5*a - 2*a + 3*a. What is i(g(n))?\nAnswer: -20*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -c**5\/20 + 2*c**4\/3 + c**3 - 5*c**2\/2 + 27*c. Determine y(9).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**4 + 5*p**4 - p**4 + (0*p**3 + 15*p**3 + 6*p**3)*(1 - 4*p - 1) as m*p + d*p**3 + u + z*p**4 + o*p**2 and give z.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 7*g**2. Let m(a) = -11*a**2. Calculate z(m(i)).\nAnswer: 847*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50 + 4*i + 13*i**3 - 4*i**3 - 50 wrt i.\nAnswer: 54*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -3, 0.1, 6.3, 1\/37?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*l**2 - 5779443*l + 5779424*l + 168*l**2 to z + n*l + r*l**2 and give n.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 + -22. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 252 and 20.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2383 - -82888. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6 and 72562?\nAnswer: 72568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**5 - 4*l**4 - 5*l**3.\nAnswer: l**3*(l - 5)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r + 27 = 3*v - 5*r, -7*v + 2*r + 24 = -6*v for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 368\/(-353) + -2 + 3. Let l = -40685\/2118 - i. What is the common denominator of l and -39\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 332 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 215*k + 261. Let u(n) = -108*n - 127. Let t(b) = 4*g(b) + 9*u(b). Find the first derivative of t(d) wrt d.\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*(p*p\/p**(2\/7))\/p)**(-26)\/(p**(2\/3)*p*p*p**(2\/5)))\/((p**(-3)\/p)\/p**(1\/4)*(p**(-1\/2)\/p)**39) assuming p is positive.\nAnswer: p**(-4573\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/87)\/((-108)\/783))\/(4\/32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/56 and -35\/144?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*y + 1)*(4 - 11 + 2*y - y).\nAnswer: 2*y**2 - 14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 62 = -22. Suppose g*d = 18*d - 17996. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*f = 41*f - 126. Is 21 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 10*g + 65 = 0. Suppose -2*o - 3 = h - 2, o = -3*h - g. Find the third derivative of 10*p**4 + 7*p**o + 3*p**2 + 10*p**4 + 5*p**2 wrt p.\nAnswer: 480*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/8)\/(10\/48). Suppose d*m + 224 = -2*m. Do m and -28 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z. Let g(w) = -2*w - 7. Let l be 3 + (1 + 4 - 0). Let o(d) = 3*d + 11. Let s(p) = l*g(p) + 5*o(p). Give 3*s(y) - 2*x(y).\nAnswer: y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 14) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3196*b - 5 - 4 = z - 3192*b - 5, -z - 4 = b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 199837501 to the power of 1\/2, to the nearest integer?\nAnswer: 14136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**3 - 35655*x**2 = 0.\nAnswer: -11885, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 6 = -3*r, -r + 0*r - 2*m = -2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12077 - 9719. Calculate the remainder when r is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 3) + -1 + 2 + (0 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -662*r**2 + 880*r**2 - 218*r**2 - 1929*r**3.\nAnswer: -1929*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 7*r + 5. Let v be k(-8). Suppose -v = -3*h - 4. Solve -h + 18 = -3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 466127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((176\/(-16) - -16) + 194\/14)\/(72\/(-252)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + l**5 - 4*l)*(-332 + 64 - 308)*(0 - 1 - 1)*(-2 - 1 + 5).\nAnswer: 2304*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 2*a = -12. Let x(y) = 4*y + 60. Let l = -119 - -105. Let u be x(l). Solve 3*v + 2 = -u*i - 5, a = i - 4*v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 m when four letters picked without replacement from njjnnnjjnjmnmnnnmmj.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-48)\/6)\/8*-1959. Suppose -o = -21*g + 13707. What are the prime factors of g?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*-18507561.\nAnswer: -185075610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 1 - -14) + -2 - 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(((v**5*v)\/v*v)\/v)*v*v*v**(2\/3)*v**7\/(v\/(v**(-2\/23)*v)) assuming v is positive.\nAnswer: v**(385\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -41776*h - 919169. What is k(-22)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3430290414 + 15158453263663\/4419. Let l = i - -21\/491. Let u = l - -17. Which is the smallest value? (a) u (b) -0.4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s**2 + 137*s**2 + s**2 - 143*s**2.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*i + 4 = 0, -32*u = -28*u + 3*i - 3. Factor -1\/3*s + u - 1\/3*s**2.\nAnswer: -s*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*r = -5*y + 475593, -4*y - 3*r + 1902440 = 0. Let s = y - -694387. Round s to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 10 + 4. Let q be ((-3)\/9)\/(o\/30). Suppose -m = q - 3, -m - 10 = -t. Calculate the highest common divisor of t and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2. Let d(c) be the second derivative of -38*c**4 - 247*c. What is f(d(j))?\nAnswer: 207936*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*t**2 - 14*t**2 - 14*t**3 + 2*t to h*t + n*t**3 + p*t**2 + v and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 2*l**2 - 23*l - 64. Give g(-3).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**6\/24 + m**5\/10 - 7*m**4\/24 + 37*m**3\/6 + 11*m**2 + 7. List the prime factors of h(5).\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7.95 (b) 3 (c) 24\/61 (d) -3\/5 (e) 1\/2 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**4 + 4*i**2.\nAnswer: -4*i**2*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6530, 6526, 6522, 6518?\nAnswer: 6514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -242, -1293, -3252, -6287, -10566, -16257, -23528, -32547?\n\"Answer: -28*f**3 - 286*f**2 + 3*f + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117178718 is divided by 2219?\nAnswer: 2204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(847) + -1 - sqrt(847)))**2 - (sqrt(7) + (2*sqrt(7) - sqrt(7)) + 1 + 0 + ((1 + sqrt(7))**2 - sqrt(7)) + sqrt(7)).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -73*z + 64*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 15807831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*g = 251*g - 4*r, -5*g = -2*r for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3587 - 1319. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1965, -5, -1, 1, 78, -4.\nAnswer: -1965, -5, -4, -1, 1, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74222914 to the nearest integer?\nAnswer: 8615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/(-6) + -5)*(-6)\/(-8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 194 - 12*d - 22*d + 2*d**2 + 34*d as v*d + n*d**2 + k and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/78)\/((-84)\/72)\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 858 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**5 + 3*t**5 - 13*t**5 + (t**2 + 4*t**2 - 4*t**2)*(0*t**3 - t**3 - t**3) - 10*t - 2*t + t**5 + 15*t.\nAnswer: -9*t**5 + 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1895*o**3 - 48*o - 3801*o**3 + 1899*o**3 - 40*o + 86*o.\nAnswer: -7*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -21130*h - 1. Let p(b) = -1303*b**2. Give w(p(o)).\nAnswer: 27532390*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 232*j**2 + 63001*j + 357177?\nAnswer: 464*j + 63001","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -b**7\/630 - b**6\/360 + b**2 - 3. Let l(g) be the second derivative of n(g). Suppose l(s) = 0. Calculate s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - ((-12 - -15) + 11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 35.1055ml?\nAnswer: 0.0351055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 11913?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10489, 41662, 93525, 166084, 259345, 373314, 507997, 663400?\n\"Answer: k**3 + 10339*k**2 + 149*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (6\/15)\/((-36)\/45)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**0)**(-3\/8)\/(o*o**(-1\/4)*o\/(o**(2\/7)*o)))**(-22\/9))**(3\/17) assuming o is positive.\nAnswer: o**(517\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5 = 4. Suppose -t + 219 = l*w + 73, 0 = t - 2*w - 131. Suppose -73 = -2*a + t. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, r: 5, y: 2, b: 4, j: 1}. Give prob of picking 2 s and 1 y.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -16910 and 386.29.\nAnswer: -16523.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 57282\/365 or 158?\nAnswer: 158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2433826, -2433764, -2433710, -2433670, -2433650, -2433656, -2433694, -2433770?\nAnswer: -2433890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83, 165, 247, 329, 411?\nAnswer: 493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 116 and 22562.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.9 and 185.\nAnswer: 179.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 937\/11 - 85. Let r = 40 + -39.6. Let t = -145 - -1012\/7. Which is the fourth biggest value? (a) r (b) s (c) -0.5 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-4))\/((-216)\/(-44) - 5). Suppose k*x = 19*x - 40. Suppose 4*h + 2*c - 14 = 0, h + 4*c = -0*c. What is the third biggest value in h, 0.2, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.024 + -14.324. What is j rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 8*a**5\/15 + 744*a**4\/5 - 21866*a**3\/15 + 5962*a**2\/5 + 55536*a\/5 + 41544\/5 = 0?\nAnswer: -577\/2, -3\/2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d + 1584 + 48 = 0. What is the lowest common multiple of d and 22?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 + 18 + 78 + -29 - (-58 + 1)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g - 10*g + 0*g - 4*g. What is the units digit of r(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 4*r + 7. Let b be o(5). Let m = 1 + b. Suppose -m*d - 2*j + j = -87, -4*j + 152 = 5*d. Is d a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*g = 12. Let f be ((-8)\/g)\/((-4)\/(-6)). Let u = 468\/5 - 93. What is the nearest to 0.2 in 0.2, f, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 293.6 + -269. Let r = w - 27.6. Which is the closest to -1\/4? (a) 20 (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 133 + -129. Find the third derivative of 53*a**6 + 1619*a**3 - 3 - 1619*a**3 - k*a**2 wrt a.\nAnswer: 6360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6650422 millimeters in centimeters?\nAnswer: 0.06650422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*t - 5, -t + 6*t + h + 5 = 0. What is the remainder when 30 is divided by (t - -3) + 11 + 3?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18690 (base 12) to base 2.\nAnswer: 1000101011001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -131 divided by 2\nAnswer: -131\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 1480*h**2 + 3. Let a(l) = -l**2. What is f(a(x))?\nAnswer: 1480*x**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 185*d + 72*d)*(-3 + 1 + 3).\nAnswer: 254*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uruuuuuburxuppuurgu. Give prob of sequence ubg.\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 345480, 345515, 345456, 345255, 344864, 344235?\nAnswer: 343320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 447 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4220400 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 46 = x, -8*x + 17*x + 5*n + 264 = 0 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, e: 2, x: 12}. What is prob of picking 2 e and 1 l?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11339.64 and -1?\nAnswer: 11340.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**4 - 2*x**5 - x**5 + 6*x**5 + x - x + 2*x**5 + (4*x**3 - x**3 - 2*x**3)*(2*x**2 - x**2 - 2*x**2).\nAnswer: 4*x**5 + x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4999 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 99*s**2 + 115*s + 7. Let r(x) = -x**3 - 100*x**2 + 117*x + 6. Let a(j) = -7*r(j) + 6*w(j). What is the second derivative of a(b) wrt b?\nAnswer: 6*b + 212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 7*l = -o + 7, 5*l - 2*o = 25. Suppose 5*i + 161 = 4*h, h - 114 = -2*h - l*i. Calculate the remainder when h is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -707 + 851. What is the remainder when r is divided by 43?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 - 4712477.1?\nAnswer: -4712476.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*a - 26289 - 46443 = 0. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 128.9 - 130.9. What is the second biggest value in 3\/5, -37, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 11*s - 19. What are the prime factors of g(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6407 + 25623\/4. Which is the fourth smallest value? (a) 1\/5 (b) t (c) -8 (d) -0.1 (e) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 7*o + 2. Let v = -7 - 3. Let h = -17 - v. Let u be w(h). Solve 3*p = 5*x - 18, -4*p = p + u*x - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*d**3 + 24 + 10*d + 10 - 42 + 12 to u*d**3 + s + q*d + z*d**2 and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 29*m**2 - 9*m + 3. What is the remainder when v(2) is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44.7 + -45.1. Let q = -111 + 107. Which is the biggest value? (a) r (b) q (c) 8 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 7) in base 14?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 4*r**2 - 5*r**2)*(4 - 8 + r - 3*r**2 - 4*r).\nAnswer: 6*r**4 + 6*r**3 + 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*n**3 + 35348608*n**2 - 189341*n + 213 wrt n?\nAnswer: 48*n + 70697216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of -3*(-11 - (-16296)\/(-63))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b - 9. Let y be r(10). Calculate the least common multiple of 10 and (2 - 4)\/(y*(-1)\/2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8666 and 757037.\nAnswer: 10598518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1221.\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -352.99999673 + 353. Round b to seven dps.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427*t + 1880 = 521*t for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150336018 divided by 1130346.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/277605 and -73\/21390.\nAnswer: 12769830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 0.2. Let a = -11.9 + 12. Let p = 0.032 + 0.268. Sort g, a, p in decreasing order.\nAnswer: p, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13582271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7\/5))**(-36) assuming v is positive.\nAnswer: v**(252\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -256433 (base 7) to base 2.\nAnswer: -1011101100011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 296098380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5*(-1 + sqrt(704))*-2 - (3 + (-1*(sqrt(704) + -1) - (sqrt(704) - (sqrt(704) + 1 + -2)))))**2.\nAnswer: -1008*sqrt(11) + 57073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5825.\nAnswer: 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*t = -22, 2*f - 2*t = 5*f + 4. Solve 5*u - 14 = 3*r, -f*r - 2*r - 17 = -5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one eighteenth of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/300 and -46*70\/480 - (-1)\/8.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -144331 and -10.28.\nAnswer: 1483722.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62623, -62624, -62625?\nAnswer: -62626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/10 + (-3)\/(-6). Suppose 7*l = 1 - 8. Which is smaller: c or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011 (base 2) in base 8?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-6)*i)\/i*i)\/i*i**(-17\/5)*i assuming i is positive.\nAnswer: i**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -34540524?\nAnswer: 34540533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 12:15 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420660?\nAnswer: 2, 3, 5, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 190948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - (sqrt(170) + (-4*-1*sqrt(170) - sqrt(170))))\/sqrt(10).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -163*n + 10. Let i be o(-8). Suppose 21*w = 3*w + i. Suppose d + 24 = w. What is the highest common divisor of d and 539?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**5\/15 - j**4\/6 + 3*j**3\/2 + j**2. Is i(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 33 = 3*q - 10, -5*a - 4*q = -90. Let u = a + 13. Solve 0 = -4*f + 5*b - u, -4*f + 4*b - 18 = 2*b for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 5:35 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 + 86*d - 71. Let s be v(-46). Calculate the highest common factor of 145 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 106 - 1?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 25, -5, 6, 4, -49235 in descending order.\nAnswer: 25, 6, 4, 1, -3, -5, -49235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h + 1 + h - 2*h - 4*h + h**3 + 2*h**2. List the prime factors of r(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 18 = -0*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(5) + -3 + 5)**2.\nAnswer: -9 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 100*u + 626. Determine q(91).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 109 = 3*a. Let j = -12 + -1. Let b = j - a. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514376?\nAnswer: 2, 113, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -672.17 - -676. Let o = 4.2 - j. Let d = 0.87 - o. Which is the closest to -4? (a) -0.1 (b) d (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6306 + 6432. What is the greatest common factor of t and 3780?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from zzzzbzbbzzbzzbzz.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -257 - -550. Let b = q + -88. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - ((4 - 10) + (-2 + -2 - -8)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96 - 71. Let y(v) = 8*v - 53. List the prime factors of y(g).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**5 + 55*c**2 + 478*c.\nAnswer: 40*c**3 + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 808580 and 2260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 22.73. Let f = l + -1.48. Let x = f - -1.05. Which is the second smallest value? (a) -5 (b) x (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-10)\/(-30)*9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45950.\nAnswer: 2, 5, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-64)\/(-5) + (-1)\/(-5). Let y = -4 + o. Suppose -8 = 3*w + 4*v, -w = -3*v - 28 + y. What is the greatest common factor of 12 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 23 = k, 3948*c + 5 - 43 = k + 3946*c for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 18 - 8 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29120 and 47866.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**3 - 84 + 8 + 4*d**2 - 215 + 21*d - 22*d - 94 as f*d**3 + o*d + n*d**2 + i and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*c - r - 3, -12 = -4*c - r. Suppose -k = -4*l - 1, k + 2 = -3*l + c*k. Let n be 12\/(-66) + (-120)\/(-418). Do n and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 11 (b) -1822\/5 (c) 2\/5 (d) -0.5 (e) 4 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -d + 3*d. Suppose 5*b = -d + 89. Suppose -2*k - k = -3*x + 63, k = 5*x - 121. What is the remainder when x is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.16 + -13.14. Let q = x + 16.3. Let a = -2 - -1. What is the third smallest value in a, q, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*x - 179*x - 18*x - 66 + 66 to h + o*x and give o.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 5.76?\nAnswer: 5.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1396.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -74.6 in 3, -0.2, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 114*g**3 - 3*g**2 - 2*g + 2. Let d be c(-2). Let q = 204 - d. Is ((-20)\/(-30))\/(4\/q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 t when three letters picked without replacement from {t: 2, o: 3, n: 2, k: 4, h: 2, a: 2}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -13*f - 416. Determine b(-28).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 246361*z**3 + 24 - 45.\nAnswer: 246361*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315*q - 73*q - 69*q - 32*q - 73*q - 83*q.\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5)\/v**(-1\/7))**(2\/35)\/((v\/((v\/v**(2\/5))\/v))**(31\/4)*((v*v**(-3)*v)\/v)\/v*v*v**(-1\/2)\/v) assuming v is positive.\nAnswer: v**(-1495\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100529 and 10621.\nAnswer: 4322747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2))\/((-363)\/(-44))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 710, 405, -418, -2017, -4650, -8575?\nAnswer: -14050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 157 + 3?\nAnswer: 15a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/((-8)\/10)*4\/2. Let z be 2\/(144\/(-285) + 4\/10). Let w = z + 26. Solve 28 = h*f - 3*d, -5*f + d = -33 + w for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228921728 a multiple of 764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 2*p**2 - p + 2. Let f be g(2). Suppose f*x = -5*x. What is the units digit of 2 + 6 + x\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (415*5\/(-30))\/((12\/(-42))\/(8\/70)).\nAnswer: 83\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2599.962 millilitres in litres?\nAnswer: 2.599962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21383156 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 4*u**2 + 1. Let v be l(4). Suppose 0 = 2*s + 2*s + 5*n - 24, 2*s = 2*n - 6. Is s greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57391?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23804*j**4 + 9470*j wrt j?\nAnswer: 285648*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - ((-15 - -3) + 34).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 17*w = -6. Which is the closest to -1? (a) w (b) -4\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15113*m**4 - 2306*m**2 wrt m?\nAnswer: -362712*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by 1.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-11))\/(-62*222\/1135530)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*p + 3*p**3 + 0*p**3 + 0*p**3 - p**3.\nAnswer: 2*p**3 - 22*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4333 divided by -1738\nAnswer: 4333\/1738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*h - 228*h + 7744 = -295*h for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6 plus -7?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4\/4*(8\/10)\/4\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 822*h**5 - 121*h**4 + 3*h**2 + 2201*h + 3.\nAnswer: 49320*h**2 - 2904*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a + 3. Let i be f(-2). Suppose i*w = 199 + 221. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9633 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/10444 and -79\/1736.\nAnswer: 647528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/23 (b) 0 (c) -4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2724 + -1061. Suppose -10*b = -2537 - c. Is 28 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3323380667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jddq when four letters picked without replacement from {j: 1, d: 3, k: 2, r: 2, q: 3, s: 7}.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 9:26 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + ((-32)\/268)\/(-4) + (-546)\/(-273)?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 + 29. Suppose -5*s + 2*s = -a. List the prime factors of -6 - -31 - (-2 + s).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*u = -13. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 11 + (1 - -6 - 58).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*((-1)\/3)\/(116\/12). Let v = -4 + 3. Which is greater: t or v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*(598\/13)\/23*-23\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4806 and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34155*g**5 - 209294*g**2.\nAnswer: 2049300*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) 1\/9 (b) -0.2 (c) -2\/9 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**4\/11 - 60*f**3\/11 + 158*f**2\/11 + 1500*f\/11 - 5200\/11 = 0. What is f?\nAnswer: -5, 4, 5, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5*(sqrt(5) + -2) - ((sqrt(5)*-3)**2 + 1) - (-2 + ((sqrt(605) + (sqrt(605) - (4 + 2*sqrt(605))))**2 - sqrt(605)))).\nAnswer: -75 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -397 - 3904.21548.\nAnswer: -4301.21548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 11) to base 7\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -7. Let w(y) = 1 + 22*y - 3 + u. Let m(t) be the third derivative of t**4\/24 + 30*t**2. Give m(w(h)).\nAnswer: 22*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18, -8, -30, -54, -86, -132?\n\"Answer: -z**3 + 8*z**2 - 43*z + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/21 - 110\/(-7). Let s be 11518\/(-8) - 4\/o. What is s rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 2, 4 in decreasing order.\nAnswer: 4, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, e: 2, o: 2, b: 6}. What is prob of sequence baee?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 116, -3, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1194, -2389, -3584, -4779, -5974?\nAnswer: -7169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2827126223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ndjksknsnknlkdnnnd. What is prob of picking 1 j, 2 n, and 1 k?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/25)\/(p*p**28))\/(p\/(p**(-9)\/p))**(7\/2) assuming p is positive.\nAnswer: p**(-3373\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 946394?\nAnswer: 2, 473197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -73813568?\nAnswer: -73813568.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 12:25 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 s when four letters picked without replacement from {n: 3, s: 10, q: 2}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + -20 + -32 + 19 - 110.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -21. Suppose f = -a - 0*f - k, 10 = -5*f. Suppose -3*v = -18 - a. Calculate the smallest common multiple of v and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1630880500 to the power of 1\/3, to the nearest integer?\nAnswer: 1177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209670969.\nAnswer: 3, 61, 1145743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 - 261*s + 518.\nAnswer: (s - 259)*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 2 + (1 - -3). Let f(u) = 11*u**2 - 17*u - 3. Let z(r) = -5*r**2 + 8*r + 2. Let n(c) = 4*f(c) + 9*z(c). What is the units digit of n(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (266 - 136 - 72)*(-2*s - 3 + 3) + 2*s - s + s + (-2 + 2 - 2*s)*(-1 - 1 + 1).\nAnswer: -112*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, b: 2, q: 1, l: 1, m: 2}. What is prob of picking 1 e and 1 m?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**3 + 26*p + 23. Give b(-5).\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*x**3 + 26*x**3 - 2*x**2 - 14*x**3 + 2 - 4*x**4 - 3 - x to r*x**2 + c*x**3 + g + z*x**4 + q*x and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 155730?\nAnswer: -155730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15645136 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 12:19 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, t: 2, i: 6}. What is prob of picking 2 t and 2 i?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 59*l + 414. Let q be a(-7). Solve -5 = -2*v + 5*h, 4*h + q = -3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*h = -406, -5*x + 5*h = 3*h - 1970. Calculate the smallest common multiple of x and 63.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -14 + (-138)\/(-10)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 6*d**2 + 4*d + 6. Let u be w(-5). Suppose 4*n + u = 35. Suppose 28 = 3*c + 13. Solve 2*b + c*x - 28 = n*b, 10 = -b + 2*x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 374 - 702 + 330*a + 61*a**2 - 63*a**2.\nAnswer: -2*(a - 164)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*y + 71*y + 33*y - 1006 + 692 - 4110.\nAnswer: -y - 4424","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -6*l - 61. Let g be 235\/(-2)*l\/5. Let m = -93 + g. List the prime factors of m.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.005 or 674?\nAnswer: 674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 2*o + 6 = 0, -11 = -2*o - 15 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 157431\/128 + -1230. Find the common denominator of u and 89\/24.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**21*r*r*r**10\/r*r*r\/r**10*r**(-20) assuming r is positive.\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a + 6*q - 11*q, 0 = 5*q - 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7034 + -0.2966. Which is the closest to q? (a) -136 (b) 3\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37396140.2 to the nearest one thousand.\nAnswer: -37396000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281451117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = -361 + 253. Calculate the lowest common multiple of x and 2*2\/8*(78 - 18).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(16) - (2*sqrt(400) - sqrt(400))) + sqrt(16))*4)\/((-5*(sqrt(88) + (sqrt(88) - -1*sqrt(88))))\/(sqrt(66)\/(sqrt(6) - sqrt(6)*2))).\nAnswer: -8*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1 - -1.3. Let c be (-2)\/(-7) + 25\/(-63). What is the closest to 0 in c, -5, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -135+-0.05938431\nAnswer: -135.05938431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 5894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**2 - 2*y**2 + 3*y**2)*(0*y + 2*y - 4*y)*(4 - 4 + 2*y)*(2*y + 0*y + 3*y + (9*y - 11 + 11)*(-1 + 3 + 0) + (-2*y + 2*y + y)*(1 - 2 + 2)).\nAnswer: -576*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150251 and 1299?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 325 = 5*h + j, 3*h + j = 194. Suppose -2*d + h = -27. Suppose -d = -4*a + 63. Calculate the remainder when a is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f + 2*f - 3*f)*(-f + 2*f - 8*f) - 23*f**2 - 136 + 136 + f**2 + 17*f - 17*f.\nAnswer: -43*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/13 - ((-1284)\/234 + 4)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 8:35 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*r - 11 = 250 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 8:07 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - p**2 + 7. Let n be m(0). Suppose 4*u - 2*s = -n*s + 676, -4*u - s + 676 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 8*t + 8. Let q be b(-7). Let f = q - 1. Let z be (-30)\/22 + -4 + 5. Is z <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-5 + (-1 + sqrt(1088) + 2 - (sqrt(1088) + -4*sqrt(1088) + -1 + sqrt(1088))) + 3)*6)**2.\nAnswer: -705024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -384.3 + 383.7563. Let m = -0.0437 - t. Which is the third smallest value? (a) 2\/11 (b) 3\/4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -12*a - 9. Let i(q) = 6*q + 5. Let l(w) = 4*c(w) + 7*i(w). Let o = 3 - 3. Let m = o + -1. Calculate l(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115689 and 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -1)*(-12 - (-7 - 6)). Find the second derivative of -81*p**4 + 0 - c - 686*p**2 + 686*p**2 - 39*p**4 + 35*p wrt p.\nAnswer: -1440*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -232 - -212 - (1 - (-4 - (-4 + 2 + -4)))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -1 + 82 + 3 + (-17 - -7)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-390)\/114))\/((2140\/(-40))\/(-107)).\nAnswer: 38\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 24 = -2*u, -u = 5*n - 0*n - 18. Let i = u - -3. Let s = -6.82 - -6.82. Which is the closest to i? (a) -2\/7 (b) -1\/6 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {w: 8, p: 2, q: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -555660, -556977, -559172, -562245, -566196, -571025, -576732?\n\"Answer: -439*g**2 - 555221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssxsxxxsssxsss. What is prob of sequence ssx?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.32 + -0.18. Let w = -4 - r. Suppose 0 = -4*k + g + 3 - 5, 4*g - 8 = -3*k. Sort -2\/9, w, k in ascending order.\nAnswer: w, -2\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, j: 1, w: 1, h: 1, n: 2, a: 2}. Give prob of sequence wha.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69 and 943.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 8*i - i + 6*i. Suppose w = 0, 4*p - 14 = -4*w - 6. Let q(o) = -51*o**2 + 49*o**p - 7 + 7. What is r(q(x))?\nAnswer: -26*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j - 1. Let x(h) = 576*h + 112. Let p(b) = 336*w(b) + 3*x(b). Let n(v) = -6*v. What is n(p(f))?\nAnswer: -288*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545 is divided by 247?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.221ml in litres?\nAnswer: 0.020221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 9\/4 + 9\/2*w**3 + 3\/4*w**5 - 15\/4*w**4 + 3\/2*w**2 - 21\/4*w = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 4:53 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 7*w - 2. Let y be s(3). Let t(j) = -j**3 + 4*j**2 + 9*j - 4. Let v be t(-2). Solve -v = -4*z + y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3350 and 350.\nAnswer: 23450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*n - 49*n = 85 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, m: 1, q: 4, t: 3, p: 4, e: 2}. Give prob of picking 1 m, 1 q, and 2 p.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -86 + (-1 - 0) + (170 - (212 + -66))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 2*o + 10, w - 2*o - 10 = 4*w. Suppose 16 = -w*h + 2*h. Let a be h\/6*(-3)\/(-2). Calculate the highest common divisor of a and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - q + 1. Suppose -k + 4*k = 0. What is the units digit of d(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 109242 = 8*v. Let l = v + -3615. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51397932?\nAnswer: 2, 3, 223, 19207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 252209617 and 252209617 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - 2) + -86 - (-9 - (7 + -11 - -1)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2265.14 to the nearest 100.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - 84\/(588\/(-21)). Factor -1\/3*s**u - 16\/3 - 8\/3*s.\nAnswer: -(s + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 180776515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - z - 3. Let n be x(3). Let j = n - -17. Find the third derivative of -r**j + 0*r**2 + 6*r**2 + 6*r**4 + 2*r**4 wrt r.\nAnswer: 192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 415*t**4\/24 + 23*t**3\/6 + 3*t**2 - 62*t. Is k(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*q + 7*q - 5*q + q - 2 + 2 + (0 - 2 + 0)*(4 - 4 + 2*q) + 2 - 2 + 2*q + 5*q + 0*q - 3*q - 2 + 2 - 3*q)*(1 + 1 - 3) to s*q + v and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -10, -2*h - n = n - 18. Let x be (-1)\/(3\/h + 7\/(-4)). Let l = -250 + 263. Put l, x, -3 in ascending order.\nAnswer: -3, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + q + 4. Let s(z) = -z**2 + 4*z - 3. Let g be s(3). What is the least common multiple of f(g) and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, i: 2, p: 1, v: 3, z: 3}. What is prob of sequence ipv?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*p = -63*p + 112 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - 35. Suppose 0 = -x - h*d + 90, -3*d + 49 + 161 = 3*x. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -2\/9 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28545109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*sqrt(70) + sqrt(70)) + sqrt(70) + sqrt(70) + (sqrt(70) - -3*sqrt(70)*-3))\/(3*-1*sqrt(250) + 1*sqrt(250)*6).\nAnswer: -2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -24. Suppose 1 - c = -v. Let h = v + -3. Solve -4*u = -h*m - 12, -m - 4 - 2 = -4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 373469, 373448, 373427, 373406, 373385?\n\"Answer: -21*k + 373490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o - 2. Let h(y) = -2*y - 4. Let g = -44 - -51. What is g*n(j) - 3*h(j)?\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 893 and 66317?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -624, -1, -36, 1\/5, -0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 0*c**4 - 1\/2*c**3 - 2*c**2 + 0*c - 1\/60*c**5 + 0. What is the derivative of r(v) wrt v?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -6. Let w = -1 - v. Let d be (-825)\/(-176)*(-6)\/(-9)*(-8)\/(-20). Which is bigger: d or w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -10. Let l be 91122\/(27\/u - 3). Let v be (l - -2)*800\/6. What is v rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xp when two letters picked without replacement from {p: 2, x: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -15*k**2 - 5*k + 11. Let h(a) = -2*a**2 - 21*a + 41. Let f(q) = q**2 + 4*q - 8. Let m(r) = -11*f(r) - 2*h(r). What is -3*b(l) + 7*m(l)?\nAnswer: -4*l**2 + l + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*b + 6 = 0, 18 = 4*u - u + 3*b. Sort 4, -23, -1, u.\nAnswer: -23, -1, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9612*0.388.\nAnswer: 3729.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**3 + 6*a + 3. Let p(f) = -6*f + 18*f - 9*f - 4*f. Suppose 0 = -6*z - 251 - 7. Let j = 49 + z. Give j*p(r) + x(r).\nAnswer: -2*r**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -59*z**3 - 2*z**2 + 5. Let d be b(2). What are the prime factors of (2\/5)\/((-5)\/d)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**2 + 3. Let w(g) = 9*g**2. What is w(o(t))?\nAnswer: 144*t**4 + 216*t**2 + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z + 240 = 37*z. Suppose -z*x = -6427 - 3293. 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: Suppose -3*s + 2*s = 2*q + 5, 0 = -4*q - 16. Let o(r) = 2*r**2 - 4*r + 2. Let h be o(2). Solve -s*d = d + i, -4*d = -h*i for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13659 + 1414219 = 19584*v - 21338 for v.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 176*i - 160*i - 4.\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65465282 to the nearest integer?\nAnswer: 8091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 107a8 (base 12) in base 4?\nAnswer: 11111300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -728 - -110994?\nAnswer: 110266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 72*d + 269. Let m be g(68). Sort -4, 44, 2, m in ascending order.\nAnswer: -4, m, 2, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**3 + 5428 - 4*y**3 - 5428 + 2*y as p*y**3 + w + k*y**2 + o*y and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is -73438550 smaller than -73438550?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5687712397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 - 65\/2. Suppose -5*g = -549 + 214. Let x = -605\/9 + g. Which is the third biggest value? (a) 2 (b) x (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 211.3339 + 0.4261. What is o rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13858 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 9 + 1)*(y**4 - 5*y**4 - 2*y + 3*y).\nAnswer: 64*y**4 - 16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7559 and 0.07.\nAnswer: -529.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 158*g**3 - 7 - 96*g + 72*g**3 - 50*g**2 + 54*g**2 + 81*g**3 wrt g?\nAnswer: 1866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**3 - 3*f**4 - 2*f**3 + (-f**3 + 0*f**2 + 0*f**2)*(-2*f + 0*f + 5*f) - f**4 + 0*f**4 + 3*f**4.\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 6:36 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175760 a multiple of 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 6:29 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8345 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 3 + -2 + (-30 - -22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-20)*(-4)\/98. Let o = 187\/882 + w. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10044 (base 5) in base 3?\nAnswer: -220001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20230260.\nAnswer: 2, 3, 5, 193, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -5, 0.16, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7103.43435 rounded to the nearest 100?\nAnswer: -7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 3*g - j - 475, 124 = g + 5*j. Let y = g + -120. What is the units digit of y + -1 - 34*14\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (0 - -20 - 5) - -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*((-9)\/17)\/(7*(-135)\/252*4)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 0*l - 144. Let p = l - 26. Suppose 3*z - 48 = q - 4*q, q - p = -3*z. Does 19 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - t**2 - 4*t + 5. Let d be w(2). Let y be (-160)\/(-168) + 2 + 24\/(-9). Which is the closest to y? (a) 0.4 (b) d (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25392 and 158700?\nAnswer: 634800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 * 0.013234\nAnswer: -0.00119106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94 + 4*w - 94)*(-1 + 6 - 1)*(-3*w - 2 + 3*w - w).\nAnswer: -16*w**2 - 32*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l + 4. Let g(b) = 3*b + 3. Let i(r) = 8*g(r) - 5*k(r). Suppose 0 = -60*v + 19 + 221. Let c(a) = -a + 4. Give v*i(n) - 5*c(n).\nAnswer: n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -1172646.\nAnswer: -1\/390882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 9 = 3*h, 5*h = -4*r + 6 - 21 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8709.55mg?\nAnswer: 8709550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4355\/804)\/(5\/72)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1717.\nAnswer: 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258998 is divided by 45.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/((-308)\/(-72)) - -3.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 428 divide 666948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, -1, 454, -990.\nAnswer: -990, -6, -1, 5, 454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -33*r + 336. Calculate the least common multiple of 6 and c(-18).\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 74 - -2?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 11:53 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 780 divided by 26.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 218273.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**18\/(g**(-12)*g))**(-1\/27) assuming g is positive.\nAnswer: g**(-29\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000010639 to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4832\/7 + -687. Let t = -3 + l. Let f = 386\/5 - 77. Which is the closest to -1? (a) -2 (b) t (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -403854*v. Let n(o) = 125*o**2. Give y(n(u)).\nAnswer: -50481750*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15475*n**4 - 1524*n**2.\nAnswer: -371400*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 0. Let l = -75.949 - -76.3. Let o = -0.049 - l. Sort g, o, -1\/2.\nAnswer: g, -1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496433137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(931) + -2 - -2*(sqrt(931) + -1).\nAnswer: -5 + 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + 16 - 3)*3. Suppose a - o = 12. Let w = a + -34. Is w a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 6\/105619?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73 + -70. What is the hundreds digit of t + 2\/1 + 131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m - 1. Let f(u) = 8*u + 1. Let c(h) = f(h) + 5*n(h). What is the units digit of c(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*g**2*h**3 - 3883*g**2 - 8*g*h + 12*h**3 + 153*h**2 wrt g?\nAnswer: 18*h**3 - 7766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -103401 - -8685575\/84. Find the common denominator of m and 49\/2.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61626110 divided by 19670?\nAnswer: -3133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 167 + -162. Calculate the remainder when 84 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -m**5\/20 + 11*m**4\/12 - 3*m**3\/2 - 6*m**2 + 10*m. Let g be n(10). Which is greater: g or -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**13*l)\/l)\/(l*l**(14\/3)))\/(l*l**(-2\/59))**(-23) assuming l is positive.\nAnswer: l**(5231\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3773*b - 4181. Let s be y(-103). Round s to the nearest 10000.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -2\/15, 5, -0.5, 13\/81, 3 in increasing order.\nAnswer: -0.5, -2\/15, -0.1, 13\/81, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13495471, -13495473, -13495475?\nAnswer: -13495477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -42, 0 in descending order.\nAnswer: 0, -6, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -72.6 - -82. Let y = 9 - z. Which is the smallest value? (a) 1 (b) y (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-77)\/(-20) + 4\/(-16)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 839, 3, 4, 6.\nAnswer: 3, 4, 6, 839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*u = -68*u + 33 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 9. Let g be 2\/(-1*(-2)\/(-3)). Let z be 5*g\/6*2. Let k be f(z). Let t(l) = l**3 - 3*l**2 - 5*l + 4. Calculate t(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 6*n**2 - 1. Let q be r(1). Suppose -q*l = -3*z - 22, 5*l + 2 = 2*z - 5*z. What is the remainder when 44 is divided by z\/10 + 77\/5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16966032289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/33 + (-543)\/(-33). Suppose -40 = 9*i - a*i. Let y(u) = -7*u + 11. Let r(w) = 8*w - 12. Let z(l) = 4*r(l) + 5*y(l). Calculate z(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 127796*t - 383402. Determine i(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d - 5. Find the common denominator of -34 and o(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 317*z**2 - 133 + 272 - 140 + (1 + 2*z - 1)*(0 - 2043*z + 2016*z - 1).\nAnswer: 263*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 27, -1123, 33 in descending order.\nAnswer: 33, 27, -19, -1123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/10)\/(u\/u**(-1))*u**(-1\/4)*u**(-1\/4) assuming u is positive.\nAnswer: u**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31126843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n. Let x(t) = 15*t**2 - 53*t + 4. Let c be x(12). Let j(b) = -c*b + 748*b + 743*b. Calculate f(j(a)).\nAnswer: 148*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 9, -3, -4 in descending order.\nAnswer: 10, 9, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00490474 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + c**2 + 5*c + 2. What is the units digit of v(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**6\/120 + 7*g**5\/40 + 2*g**4\/3 - 2*g. Let j(n) be the third derivative of u(n). Is 10 a factor of j(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -71501 at least -71502?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 (base 6) in base 11?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2 - 7*u - 1. Let g(x) = -x**2 - 7*x - 1. Let s(p) = 2*g(p) - 2*z(p). Let o(d) = -2*d**2 - 4*d**2 - d**2. Calculate o(s(y)).\nAnswer: -28*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196 = -9*f - 7*r - 131, 0 = -4*r - 4 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*v - 5*v = 13*v + 11*b + 9*b - 63 - 5, 0 = -4*b - 8 for v.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = k - 0 - 1, h - 4*k - 6 = 0. Suppose 4*p - 74 = 2*u + 14, h*p = 2*u + 80. Let t be (12\/u)\/(49\/(-6)). Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4 - -4) + -4 - 4) + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/((-1308)\/(-545)*-5).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 15) in base 13?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4*m + 36 = 0, -3*s - 2*m = 2*m + 56. Let b = -46 - s. Let j = b + 52. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35*w**3 + 43*w**3 + 13*w**4 - 1467 + 8153*w - 8153*w wrt w.\nAnswer: 52*w**3 + 234*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5*n = 82, 0*f + 3*n - 56 = -2*f. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.067986*0.2\nAnswer: 0.0135972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0*k - 20 = 0. Let x = 5 + k. Let q = 0 + x. Which is greater: q or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 103 - 11 + 464*o - 466*o - 104*o**5 wrt o?\nAnswer: -2080*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-10))\/(-3)*31\/((-2232)\/48)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 69102667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5954 (base 10) to base 5.\nAnswer: -142304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23971287 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 2) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.07 (b) -1 (c) -5 (d) -0.223 (e) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -34586, -34751, -35026, -35411, -35906?\n\"Answer: -55*b**2 - 34531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from itttittttiittitt. What is prob of sequence tiii?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -49500*(0 + 800\/(-6)). What is j rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -343100.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3756 - -3882. Calculate the remainder when 368 is divided by j.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + w - 20 = -u, -3*u - 16 = w. Let f be -2 - (-3)\/u*28\/(-2). Solve -f*v - 25 = 3*p, 3*p - 2*v + 5 = -6 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34323226?\nAnswer: 2, 7, 350237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 7176*w**2 - 387501*w - 159. Give t(54).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 5. Suppose 5*k - 15 = 2*k. Let s be z(k). Let p(q) = -q + 12. Let g be p(13). Put s, g, 1\/5 in ascending order.\nAnswer: g, s, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92767753 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 14*n**2. Let t be 2\/((-36)\/(-414) - 3306\/(-69)). Let p(c) be the third derivative of 0*c + 0*c**3 - 14 + t*c**4 + 2*c**2. What is h(p(g))?\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 117 = -6*m. Let c = -8747 - -8750. Calculate the greatest common factor of c and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 14 = 2*k. Suppose -k*f + 13 = -2*y, 5*f + 0*y = -3*y + 28. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 5*y + 72, 4*r - 3*y + 11 = -29. Let j = -19 - r. Let b(w) be the second derivative of -w**3\/3 - 4*w**2 + 2*w. What is b(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6692 = -3*x + 3916. What is the thousands digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.425 + 0.225. Put 0.7, h, -0.14, 2\/7 in descending order.\nAnswer: 0.7, 2\/7, -0.14, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -2\/23, 2\/9, 4 in increasing order.\nAnswer: -0.7, -2\/23, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -370 times -0.4?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 9. Which is the second smallest value? (a) 3 (b) g (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 127 times -1819644\nAnswer: -231094788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267 = 6*k - 387. Let b = -101 + k. Suppose 0 = 5*a + o - 365, 8*a - o - 283 = 4*a. What is the greatest common divisor of a and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - a?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -729 * -0.173\nAnswer: 126.117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22\/5 in 12, -5, -2\/9, -9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -11. Suppose -x*w + 8 = 5*f, 4*f - 8 + 0 = -4*w. Calculate the greatest common factor of 8 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o - 10. Let z(a) = 2*a + 5. Let w(j) = j**2 - 8*j - 3. Let f be w(8). Let c(l) = f*x(l) - 5*z(l). Calculate c(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16293822 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.08 (b) 28 (c) -17\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 1. Let f be (-4)\/(-35) + 2\/(-5). What is the third biggest value in 0, f, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 6*n**2 + 5*n. Let c be (-2)\/10 + (-573)\/(-15). Let u(q) = 4*q + 43. Let r be u(-19). Let y = c + r. What is i(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*i**3*l - 2*i**3*z**2 + 34*i**3 - 2*i**2*l*z**2 + i**2*z + 21*z**2 wrt i?\nAnswer: 30*l - 12*z**2 + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-9 + -19 - -18)) + 32?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 191391.2kg?\nAnswer: 191391200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*g + 2245*i - 2246*i, 18 = 2*g - 2*i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 76337300473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 14. Let o be t(-6). Suppose -3*r = -2*r - o. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1980250*q**3*v**3 - 2*q**3*v - 8*q*v**2 - 37*v - 12 wrt v?\nAnswer: 11881500*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4 - 28*s**3 - 72*s**2 - 68*s - 22.\nAnswer: -2*(s + 1)**3*(s + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.316909*0.5.\nAnswer: -0.6584545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 240 = 4*z. Suppose 2*x + 2*x = z. Let k = x - 9. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 13*n + 86. Determine l(4).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9491040 and 160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -6220*k. Let h(m) = -m**2 + 124*m - 3. Calculate a(h(b)).\nAnswer: 6220*b**2 - 771280*b + 18660","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12560826 - 7269174 = -3*v. What is v rounded to the nearest one hundred thousand?\nAnswer: 6600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*d**2 + 160 - 198*d**2 - 160.\nAnswer: -285*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00103143 rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 262\/15 + -61\/6. Calculate the common denominator of t and -33\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**5\/s)\/(s\/s**(-2\/9)*s))\/(s*s\/(s\/((s\/((((s\/(s\/(s\/s**(-1\/4)*s)*s))\/s)\/s)\/s*s))\/s)*s)*s)**23 assuming s is positive.\nAnswer: s**(-1349\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*(i**7*i)\/i))\/(i*i**(2\/7))*(i*i\/i**(-1\/4))**(-11\/5) assuming i is positive.\nAnswer: i**(-1853\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 51823 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5*(1 + sqrt(162))**2 - (-3 + (2*sqrt(162) - sqrt(162)) + -5)**2)*-6*3 + 3.\nAnswer: -972*sqrt(2) + 18687","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 4*u**2 + 5*u. Let d(h) = 8*h**3 - 28*h**2 - 285*h + 2. Calculate -d(p) + 7*z(p).\nAnswer: -p**3 + 320*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40684*a*k**2 + 949982*a*k + 17*k**2 wrt k.\nAnswer: 81368*a + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1602 - -1618. Calculate the remainder when 813 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(-b**3 - 3*b**3 + 6*b**3) + 0*b**3 - 3*b**3 + 4*b**3 + 4*b**3 + 0*b**3 - 2*b**3 - 64*b**3 - 7021032*b + 111*b**2 + 7021032*b.\nAnswer: -59*b**3 + 111*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**3 + 2*r**2 - 2*r - 1. Calculate the remainder when a(2) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5959 and 3543799423?\nAnswer: 5959","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 7*x**2 + 80*x - 16. Give k(-5).\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 9*q**2 + q - 6. Let f be a(9). Suppose 8 - 1 = 2*d - 3*m, 5*m = -f*d + 20. Solve 34 - d = 4*n + 3*o, 5*n + 3*o - 34 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 + 5*i - 5. Let q = -5 - -5. Suppose 4*d + o - 54 = q, -2*d = -d + 2*o - 17. What is the remainder when v(-6) is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19076005\/34 or 561060?\nAnswer: 19076005\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t = -4*r - 331, 0 = -r - 4. Let y = 354 - t. Suppose -y = -19*h + 16*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 250*q**2 - 202496*q - 3240.\nAnswer: 2*(q - 810)*(125*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4119 - -0.0059. Let t = 69.506 + w. Let a = -26.4 + t. What is a rounded to 0 dps?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - b + 10 - 4 + 3*b.\nAnswer: 2*b - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-7)*21\/(-36)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -80*i + 344. What is f(10)?\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ae (base 16) to base 11.\nAnswer: -149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11)\/((-55)\/(-40)) - -544. Suppose -p + b = p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -490 + i + i**3 - 2*i**2 + 490. Let k(y) be the third derivative of y**4\/12 - y**3\/6 - y**2. What is 10*k(u) - 3*q(u)?\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 71, 108, 157, 224, 315?\n\"Answer: y**3 + 30*y + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 263, 271, 293, 335, 403?\nAnswer: 503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 28422080 to the nearest 100000.\nAnswer: 28400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 182*i**6 - i**4\/4 + i**2 + 1942*i + 10138. What is the second derivative of d(w) wrt w?\nAnswer: 21840*w**3 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2790648012?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 + 63. Suppose 4*m - i - n = 102, 2*m - 114 = -i. Let v be (-10)\/m - (-60)\/(-33). Which is the closest to 2? (a) 2\/13 (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -2198\/6555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 equal to 221\/62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*p**3*t**3 - 14*p**3 - 17*p*t**3 + p wrt p.\nAnswer: 24*p*t**3 - 84*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -f**5\/20 + 7*f**4\/12 - f**3\/2 + f**2 - 16*f. Calculate g(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 91*r**2 + 30*r - 54. What is the lowest common multiple of 125 and l(2)?\nAnswer: 9250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72214 is divided by 36028.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -3.6, -1\/4, -3, -333, 5, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1107\/81)\/((((-5)\/(-5))\/(-3))\/(-1))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/3826644 and 55\/18.\nAnswer: 11479932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*l - 45*l + 55*l.\nAnswer: -98*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180)*6 - (-4 + sqrt(25)\/sqrt(5)) - (sqrt(80)*-3 + sqrt(5)*5*4).\nAnswer: 4 + 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4534020917 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 31 = 4*g - 0, 0 = -4*u - 5*g. Suppose 4*f - 23 = -f + 2*r, 7 = -3*f - 4*r. Is f < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 1)*(-308*n - 823*n - 292*n) as o*n + z and give o.\nAnswer: 2846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5219.605 micrometers to meters.\nAnswer: 0.005219605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q - 16*q = -34*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*j + 4 = 0, 4*x - 36 = 5*j + 13. Let d = 50 - 34. Let u be (-57)\/(-76)*d\/3. Solve u = 4*c - x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2418006 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: Which is the second biggest value? (a) 0.093 (b) 2\/17 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/975047 + 3900182\/2925141. Find j such that -784\/3 - 896\/3*j - 116\/3*j**2 - o*j**3 = 0.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4005 or 6953?\nAnswer: 6953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7183420?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 702 and 2250.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 18*k - 114 = -19*k, 2*k - 8 = q. Let v(g) = 4*g**2 - g. Calculate the least common multiple of v(4) and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -15. Let k = 3 - f. What is the units digit of (-1)\/k - (-141)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2950538 by 103.\nAnswer: 28646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*k - 24*k - 23 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 6 - h)*(-65 + 135 + 19*h - 67) as j*h + k*h**2 + x and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p + 15. Let f be m(7). Let q be (-15)\/(-1*(0 - -1)). Let h = f + q. Solve 2*d = -h*c + 8, 0*d - 2 = -2*c + d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 p, and 1 g when three letters picked without replacement from {y: 2, q: 2, p: 1, g: 2, e: 4, u: 3}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -10 - 3772*n - 2134*n + 10 + 809*n. Let c(j) = j**2. Determine c(t(l)).\nAnswer: 25979409*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 74652203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/84*339*1*4*3\/24.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 19*u**2 - 5*u - 92. Let t be p(-19). Factor 16109*q - 10*q**t - 5*q**4 - 16109*q + 15*q**2.\nAnswer: -5*q**2*(q - 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 601 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 9 = 14*d. Let y be (-6)\/d - (-1 - 1325\/3). Suppose -2*n - 3*p - 23 = -y, -4*p = -4*n + 808. What are the prime factors of n?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2130470 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2243, 2239, 2231, 2219, 2203?\n\"Answer: -2*q**2 + 2*q + 2243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 16*b. Let a(x) = 3*x**2 + 5. Let r(l) = -4*l + 10. Let o(y) = 2*a(y) - r(y). Determine o(k(s)).\nAnswer: 1536*s**2 + 64*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x - 6. Give q(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + j + 27 = 0, -2*s + 3*s + 2*j - 16 = 0. Let b = 8 + s. Suppose -3*v = 2*p - b, p = 2*p - 5*v + 15. Solve -n = 2*a + 8, 11 = 5*n - p*a - 24 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 24) + -4 + -4 + 2. Which is bigger: y or -153\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180398.\nAnswer: 2, 90199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-9))\/2)\/(((-8)\/(3240\/(-225)))\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 3*z**2 + 33. Determine h(0).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a. Let n(f) be the second derivative of f**5\/20 + 15*f**2 - 10*f + 2. Let h(c) be the first derivative of n(c). Give x(h(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/15 + 1 + 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -1. Let h(i) = -11*i + 6. Let f(b) = 6*d(b) + h(b). Let m(a) = -2*a. What is m(f(p))?\nAnswer: 22*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2961?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 - 4*q**3 + 2*q**3)*(195 + 367 - 39).\nAnswer: -1046*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100401.\nAnswer: 3, 7, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9624, -22483, -38568, -57879, -80416, -106179, -135168?\n\"Answer: -1613*q**2 - 8020*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 41*w + 732. Is c(-47) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.412? (a) -7\/3 (b) 2\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4656 and 624.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 3. Let x be k(-2). Let m = 2 + x. What is the second derivative of -b + 11*b**2 + 11*b**4 + m*b - 11*b**2 wrt b?\nAnswer: 132*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-34) - (-96)\/255)*380.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q - 7. Let j(y) = -2*y + 13. Let g = 2235 - 2230. Calculate g*o(b) + 3*j(b).\nAnswer: -b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462 is divided by 43?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e + -288?\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**5 + 7456*a**4 - 8953722*a**3 + 3051280508*a**2 + 496097719400*a + 493037477712 = 0. What is a?\nAnswer: -117, -1, 1282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 71*m - 71*m - m**3)*(-4*m - 2*m + 4*m) + m**4 + 2*m + m - 5*m to f*m**3 + q*m + i*m**2 + u*m**4 + v and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4448 and 879.\nAnswer: -3909792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 9:03 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 219 = 125*t + 267 + 330, 5*h = -4*t + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*q**3 + 1811 + 1606 - 5017 + 1600.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 + 1 = 3*o. Let b be 2\/3 + 17560\/o. Round b to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 209*n**3 + 5*n**2 - 5*n. Let x(o) = -17869*o**3 - 428*o**2 + 428*o. Determine -428*m(i) - 5*x(i).\nAnswer: -107*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(1573) - (2 + (sqrt(1573) + -2*sqrt(1573) - sqrt(1573)))) + 0))**2.\nAnswer: -132*sqrt(13) + 14161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -88942, -88636, -88332, -88030, -87730?\n\"Answer: -o**2 + 309*o - 89250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -53, -3, 4, 0.01, 43?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -108, -153, -220, -315, -444?\nAnswer: -613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.0106239 to three dps.\nAnswer: 7.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22 + 239 + 103)*(z - 3*z + 0*z + (-2 + 6 + 0)*(-3*z - z + 2*z + (5*z - 3*z + 0*z)*(1 - 1 + 2) + 0*z + z - 2*z)) to s*z + n and give s.\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 31 and -229464\/193 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2*u - 12. Suppose 4*j - 20 = 0, 3*w - 13 = u*j - 9*j. Let m be ((-6)\/(-15))\/(8\/5). Put 3\/7, m, w in descending order.\nAnswer: 3\/7, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 98*l - 75*l + 345 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1576086877 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-6)*(-10)\/(-5)*4\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2)\/m)**(-14\/13)\/(m*m**(3\/16)*m*m*m\/((m*(m\/(m**(-1\/14)*m))\/m*m)\/m)*m) assuming m is positive.\nAnswer: m**(-4313\/1456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 j when two letters picked without replacement from jjjjjejeeojjjjjjoj.\nAnswer: 26\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o + 20*o + 9*o)*(19 - 19 - o).\nAnswer: -34*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -504 + 510. Suppose -2*o + 11 = -z, 0 = 3*o - 18*z + 21*z + g. Solve 0*j - o*j = 2*k, -3*k = 2*j + 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 7*l = 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-19)\/(-57) - (-1)\/(-4)*2. Which is the third biggest value? (a) 5 (b) n (c) -18\/11 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (-1190 + 3 + 1). Let b be -2 + 3 + -1 + 2. Suppose -b*w - s = -163. What is w rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -9. Let f(p) = p**2 + 17*p + 17. Let w be f(b). Let m = -48 - w. Solve d - 2*r = -8, -m*r + 34 = 4*d + 14 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 42\/(-4) - (4 - 7). Let f = j - -7. Let z = -0.04 - 2.96. What is the third biggest value in f, 4\/7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -8*u + 3. Let c(r) = -15*r + 5. Suppose -5*s + 0*s + l = -26, l + 1 = 0. Determine s*n(b) - 3*c(b).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3304 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31340 minus -291105?\nAnswer: 322445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -23\/2, 500, -0.4, -0.2, 2\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zon when three letters picked without replacement from {l: 1, o: 1, n: 2, z: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (192 + -191)\/((-1)\/(-22)). Solve 0 = x - 1, 4*s + 0*x - u = 2*x for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 168\/(-294) + 586\/(-77).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 52 = -4*t. Let x = t + -10. Suppose x*q = -0*q + 6, 5*q = 2*a - 40. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5489 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 187 - -174. Suppose -5*f + 149 = 2*g, -g + f - i = -6*g. Let r = 245 + g. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 6867161.\nAnswer: 6867161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 87 and 54259?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 159455, 159605, 159767, 159947, 160151, 160385?\n\"Answer: u**3 + 143*u + 159311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3 = 4*x. Let k(o) = 30*o - 1. Give k(x).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -10. Suppose 8*k = 4*k - 4*a + 28, 3*k + b*a = 25. Is 7 a factor of 3*k\/((-18)\/(-28))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 15. Suppose 20 = 4*d + k*m, 4*d + 3*m - 27 = -d. Solve 0 = 4*z - 7*z - d for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**5\/105 + q**4\/7 + 6*q**3\/7 - 4*q**2. Suppose a(c) = 0. What is c?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -579 - -593. Calculate the highest common factor of r and 322.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33087?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 71 + -79 + 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3146*m + 1063*m - 303278 = 104*m + 4406*m for m.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9211 is divided by 1148.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, d: 6, c: 4}. What is prob of picking 1 r and 2 c?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -5490*p. Let h be v(1). Let g be 3\/4 - (h\/8)\/9. Suppose -15 = -g*z + 74*z. What is the lowest common multiple of z and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003949502508 to 7 decimal places.\nAnswer: 0.0000395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f**3 + 2*f - 1. Let r be v(1). Let l be ((-19)\/(-7) + r)*-2. Which is the third smallest value? (a) l (b) 2\/9 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -5*b**3 + 13*b**3 - 5*b**3 - 4*b**3 + 5 - 2*b + 2. Let m(n) = -n**3 - n + 3. Give 5*m(u) - 2*t(u).\nAnswer: -3*u**3 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -48 (b) 11\/5 (c) -1\/4 (d) 0 (e) 8\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -73472225.2 take away -0.4?\nAnswer: -73472224.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29366984*z**6 + 2*z**3 - 1096109*z**2?\nAnswer: 3524038080*z**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*d**2 - 8*d**2 - 5*d**2 to the form j*d + u*d**2 + g and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 2. Let s = -0.27 - -0.47. What is the closest to i in s, -0.5, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93 * -16\nAnswer: 1488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/13, -4, -101, -1\/110, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**4 + 47*p**2*t - 2*p*t + p - 3*t wrt p.\nAnswer: -12*p**2 + 94*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 + 78. Suppose 5*a - 21 + d = 0. Sort 12, a, 2, -1 in descending order.\nAnswer: 12, 2, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 45864430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 701.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s = -22. Suppose 3*i - s - 16 = 0. Let f(y) = -y**2 + 12*y - 11. What is the remainder when f(i) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 562134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11071*g**5 - 3 + 11210*g**5 + 43*g**2 + 2*g**2 wrt g.\nAnswer: 8340*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-54)*9\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) + sqrt(242)*1)**2 + sqrt(242) - sqrt(242))*-4.\nAnswer: -3872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -152. Suppose 11*h + 921 = -80. Let m = h - c. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (345\/30 - 12)\/((-2)\/1324) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5, -70, -245, -584, -1141, -1970?\n\"Answer: -9*x**3 - x**2 + x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in fifty sevenths of a week?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -4 (b) -3\/7 (c) -158 (d) 2\/5 (e) 0 (f) 4 (g) 0.042\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 272 + -154. What is the remainder when v is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -771*z + 774*z + y = 22047001, -7349005 = -z - 5*y. Round z to the nearest one hundred thousand.\nAnswer: 7300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -2*v - 1 + 0*v**3 + 0*v**2 - 3\/2*v**4. Find the first derivative of r(l) wrt l.\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2267129 and 0.25?\nAnswer: -566782.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 6*a**2 - 12*a - 8. Let p(s) = 2*s**2 - 4*s - 3. What is -11*p(u) + 4*x(u)?\nAnswer: 2*u**2 - 4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 105261275303 + 35?\nAnswer: 105261275338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, -149, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -6*x**4 - 742*x**3 - 10450*x**2 - 32074*x + 11880 = 0.\nAnswer: -108, -11, -5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 103938 and 676.03367.\nAnswer: 104614.03367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, -4, 2.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/38 = -3226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 8 = -c, 400*c + v = 399*c - 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 9:40 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.49 - 39.51. Let j = w + 39. What is the third smallest value in -3, j, -0.2, 2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5136 and 8000.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 32 - 23 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -926, -2623, -6976, -15233, -28642?\nAnswer: -48451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 21 = z, 12*z + 190*d - 191*d + 69 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3106, -12437, -21778, -31135, -40514?\nAnswer: -49921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(2\/10 + (-44)\/20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2884)\/168 - -17)\/(4\/126)?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2163899 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2650961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)*-2 + 3 + sqrt(5808)*-1)**2.\nAnswer: -312*sqrt(3) + 8121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2307547178.\nAnswer: 2, 53, 21769313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 29 + 31 = 0. Let g(s) = s - 5. Let k be g(q). Let n be (12\/(-15))\/((-3)\/(-60)). Which is greater: k or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18516e (base 15) to base 7\nAnswer: -13020560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3892*k = -3857*k - 875. Let b(j) be the third derivative of 1\/24*j**6 + k*j**2 + 0*j**4 + 10\/3*j**3 - 1\/4*j**5 + 0 + 0*j. Solve b(t) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15631109.01 to the nearest 1000.\nAnswer: 15631000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -28*h + 2156. Let v be f(74). Calculate the greatest common divisor of 231 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -3. Let c = 30.024 + -0.024. Let n = c + -31. What is the smallest value in n, f, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 7*v**2 - 8*v - 11. Let b be c(-6). Put 4, b, -31 in decreasing order.\nAnswer: 4, b, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*v + 34. Let o be -5 - (4\/(-2))\/(-2). Let b = o - v. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 4 - (-144 - -138).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28*k - 72*k**3 + 86 - 27*k + 81*k - 26*k wrt k.\nAnswer: -216*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56586.\nAnswer: 2, 3, 9431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**3 + 2*p**2. Let k(z) = -z**2 + z. Suppose -4*g + 639 = 643. Calculate g*m(r) - k(r).\nAnswer: -3*r**3 - r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -139.9 - -18.6. Let j = -121 - f. What is the nearest to j in -8, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 2*o + 219257 = 15*r, 0 = 5*r + 3*o - 219277. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 93 + -87. What is the highest common divisor of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31004 (base 5) to base 10\nAnswer: -2004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -23244 at most -23248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*l - 91, -2*l + 2*n + n + 33 = 0. Suppose -4*m + 1176 = l*m. Calculate the greatest common factor of 18 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5019000 rounded to the nearest 100000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*h**3 - 17792454*h + 17792454*h.\nAnswer: -80*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d9 - -2?\nAnswer: 2db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12596 + -12596. Which is the closest to 0.043? (a) 1 (b) 0.1 (c) 4 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/4, -3\/4, -254, -0.4 in ascending order.\nAnswer: -254, -3\/4, -0.4, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, 262.8, 0.1, 1142?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -201 and 486187.19415?\nAnswer: 486388.19415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j + 4. Let f be n(-4). Let u be (3 + f)*(-5)\/1. Let r = 7.2 + -6.7. Which is the biggest value? (a) u (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 172.5 - -738.5. Let o = f + -910.99489. What is o rounded to four dps?\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o**2 - o. Let w(z) = 6*z**2 - 3*z. Let j(b) = -5*t(b) + 3*w(b). Let k be j(-3). Let g be 4*1*k\/12. Solve -g = 4*x + i, -2*i - i + 3 = -2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 4:51 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81671?\nAnswer: 81671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4*k - 10101 = 0, 3*k = 4*x - 3064 - 5054. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24a4 (base 11) in base 4?\nAnswer: -302330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1066, 2131, 3194, 4255, 5314, 6371?\n\"Answer: -s**2 + 1068*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + n - 50. Let p(z) = -2. Calculate -f(h) + 2*p(h).\nAnswer: h**2 - h + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 32785.96239.\nAnswer: 32786.46239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.8 (b) 1 (c) -1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2 + 1)\/(-1))\/(-1). Let d be ((-5 - -3) + z)*71. What is d rounded to the nearest ten?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -23.9997. What is u rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 6. Let p = 0 + o. What is p rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 4f3e23?\nAnswer: -4f3e22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62755311 and 237672.\nAnswer: 9903","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 11.86663 and 0.0852.\nAnswer: 11.95183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t - 7. Let k be y(7). Let o(s) = 181*s - 8. Is o(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 - 190 + 71 + 273*n + 65 - 270*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*(k\/(k\/(k**4\/k)))\/k*k))\/(k*k**(-3\/2)\/k))**46 assuming k is positive.\nAnswer: k**(-69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2445, 3764, 6009, 9180, 13277, 18300?\nAnswer: 24249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2766, 6065, 9364, 12663?\nAnswer: 15962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, h: 5, z: 5, x: 2, c: 1, l: 1}. What is prob of sequence xx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -100 + 167. Let z = 133 - n. Is 33 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen fifteenths of a millennium in months?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m - 28. Determine q(-20).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -76*h**4 + 2*h**3 + h - 14515 wrt h.\nAnswer: -304*h**3 + 6*h**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**3 + 310*v**2 + 24025*v = 0.\nAnswer: -155, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -308 - -307. Which is the smallest value? (a) 0 (b) -0.8 (c) j (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7368605?\nAnswer: 5, 97, 15193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*i = 0, -2*o - 3*o = -2*i. Suppose 7*k = 6*k + 4. Suppose -1\/3*c**k + 1\/3*c**2 - 1\/3*c + 1\/3*c**3 + o = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z - 6. Let g be ((-9)\/12)\/(1\/(-8)). Let t be v(g). Solve -3*r - 22 = 5*w, t = 4*w - 0*w - 2*r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 4742848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -5 - 36) + (-19 - -1 - -26)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -123878*p**4 + 25*p - 3839 wrt p.\nAnswer: -1486536*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6084a (base 16) to base 6\nAnswer: -12250134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 190144544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7468461, 14936921, 22405381, 29873841?\nAnswer: 37342301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -32667 - 80?\nAnswer: -32757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0. Let d(v) = -v**3 - 13*v**2 + v + 7. Let a be d(-13). Let h = 2 + a. What is the second biggest value in h, -3\/2, q?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16802 and 310.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 192918 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/((o\/o**(-2\/3))\/o)))**(-3\/26)*(o*o\/o**(-2)*o)\/o**0 assuming o is positive.\nAnswer: o**(64\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**3\/5 + 36*k**2 - 3526*k\/5 + 3348\/5 = 0.\nAnswer: 1, 27, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 12 + f - f - 4*f**2 in the form b*f + c + g*f**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 12:01 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 1. Let h(v) = v**3 - v**2 + 4*v + 4. Let y = 7 - 8. Let l(z) = y*h(z) + 6*s(z). What is the units digit of l(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108191 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 1\/60*l**5 + 0*l**4 - 1\/6*l**3 + 1\/8*l**6 + 166*l**2 + 0 + 0*l. Calculate z(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/(-136))\/((-7)\/2)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*l + 9*l**4 + 4*l + 4*l**4 wrt l?\nAnswer: 156*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/68)\/(255\/260 + -1). Let z = 334\/85 - w. Find l such that 0 + 3\/5*l - 18\/5*l**2 + 27\/5*l**3 - z*l**4 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10, 177, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {v: 3, t: 3, x: 1, u: 5}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 88, -0.09, -1\/3, 29?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 4. Let r be y(-3). Let u be r\/2*(-8)\/(-10). Let k(q) = -u*q**2 + 2*q**3 - 3*q**3 - 5 - q + 2*q**3 + 3*q**2. Determine k(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r + 4. What is f(15)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 2*m - 8 - 4, -2*c - m = 21. Let z(h) = -5*h - 33. Let d be z(c). Let i = 31 - d. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/72 and -73\/55304?\nAnswer: 497736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*z**5 - 37*z**3 + 37*z**3 + (0*z**5 - 3*z**5 - 2*z**5)*(4 + 0 - 1).\nAnswer: -9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11948.6 - -11949. Which is the closest to 2? (a) -1 (b) f (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) 2 (c) -7 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 10 - -2 - -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204 divided by 1948885.\nAnswer: 204\/1948885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -100 - -105. What is the second biggest value in u, 7, -0.5, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*l + 444*l = 64*l + 252726. Solve -6*c - 631 = -l for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 33. Let g be (-2 + d)\/(-1)*(-114)\/(-3249). Which is the second biggest value? (a) -2\/111 (b) g (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/(-1) - (-1 - 1). Let y(s) = -s**2 + 17*s - 16. Let q be y(r). Let b = 77 - q. What are the prime factors of b?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 744\/569?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26\/10 + 12\/(-20). Solve -5*u + 3*g = 7, 0 = -u + w*u - 3*g - 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - -16 - (-32 - -1) - (-19 - -1).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -1524.\nAnswer: 1\/1524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (86\/(-215))\/(((-4)\/(-4))\/25).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 3, 4, -5 in ascending order.\nAnswer: -48, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 1)\/(14\/(-7)). Let r(l) = -l**2 + 6. Does 3 divide r(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7279 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5*d. Let x(f) be the first derivative of f**4\/8 - 7*f**2\/2 + 4. Let j(t) be the second derivative of x(t). Determine r(j(g)).\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 48\/5 of a micrometer?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, f: 9, m: 3}. Give prob of picking 1 m and 2 f.\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12301, -97913, -330297, -782839, -1528925, -2641941?\nAnswer: -4195273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 54299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 514*t + 520*t - 1410*t + 377*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**2 + 2*w**2 - 3*w**2 + (w + 3*w - 5*w)*(-4*w - 3*w + 0*w) - 5*w**2 + w**2 + 6*w**2 - 628 - 10*w**2 + 628 to j*w**2 + r*w + t and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-10)*7*568\/1988?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 1)*(-12*g**3 - 16*g**3 - 4*g**3) + (-g**2 + 3 - 3)*(-3*g + 0*g - 3*g) to o*g + t*g**2 + x*g**3 + h and give x.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8895.\nAnswer: 3, 5, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**4 + 4*y**4 - 2*y**4)*(18*y - 29*y - 23*y - 40*y - 144*y).\nAnswer: 654*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 126772, 126798, 126842, 126904, 126984, 127082, 127198?\n\"Answer: 9*o**2 - o + 126764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3076911 is divided by 33.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(2 + 439)*-3*(-2 + 28)?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3950 - -5?\nAnswer: -3948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 136 - 66. What is the greatest common factor of 280 and t?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 11 = 4*i + 17, z - 19 = -3*i. Solve 5*m - 2*m + g - z = 0, 0 = -3*m + g + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -8.3. Let c = l - 0.5. Which is bigger: -3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 3 = -5*z. Suppose 2*o + z = -o. Let f = o - -3. Solve 2 = f*k - 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 333558 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 3, v: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56465016789 - 0.3.\nAnswer: 56465016788.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 37337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1075 and 224925.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u - 3. Let n be r(-1). Is (-15)\/n*348\/(-18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-465)\/(-35) - 448\/32\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 10:09 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -8*k + 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211 + 1021?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 46 = 4*s, 13*s - 15*s = 5*o - 94. Let w be 15*10\/(-12)*-460. What is the tens digit of 1*4\/o + w\/45?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17310 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 108 + -269. Let y = m + 336. What is the greatest common factor of 25 and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -546, -405, -268, -135, -6?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2526731.3 from 67.\nAnswer: -2526664.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -91.5 and -8695.\nAnswer: 795592.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 83*p**2 + 1573*p + 43. What is r(29)?\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.3, -4, -4\/13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-20) + 2\/(-10). Let k be x\/(-3 + 20\/5). Solve -3*m + 5*h + 22 = k, -m - 2*m + 2*h = -16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -3, 5*p - 3*y + 6*y = -27. Let q(h) = -3*h**2 + 9*h + 1. Let a(w) = 5*w**2 - 17*w - 2. Let m(r) = 4*a(r) + 7*q(r). What is m(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a**4\/3 + 54515*a**3\/3 - 117985*a**2 + 54450*a = 0. What is a?\nAnswer: 0, 1\/2, 6, 5445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4617 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + 0.2. Let i = 1\/674 + 95507\/816888. Let m = i - -2\/303. What is the biggest value in k, 3, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-3)*909\/(-3434)*9\/432*102?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -408 and -1370510.58.\nAnswer: -1370918.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -629*k - 364*k + 1009*k + 8598*k**2 + 4217*k wrt k.\nAnswer: 17196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 4)*(s + 2*s - s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-294)\/(-9))\/((-6)\/18). Let x be -2*(-3)\/24 - l\/(-840). Which is the third smallest value? (a) x (b) 2\/17 (c) -5 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 + 5.8. What is the nearest to 0 in 2\/9, 3, f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28986649.\nAnswer: 17, 1705097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 m when two letters picked without replacement from mdggpmmphpmpdggdgdgg?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 202010995337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3688741 less than -7.99105?\nAnswer: -8.3599241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y + 63. Let c be w(0). Suppose 0 = -c*p + 61*p + 378. Suppose -k + 4*k = p. What is the remainder when k is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75.66 - 3.66. Let m = v + -71. Which is greater: -237 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lablxalbblvblbxalqx. Give prob of sequence blq.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 3:31 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 6 - 9*s**2 + 11*s**2 - s**3 + 5*s**4 as q + j*s**3 + k*s**4 + g*s**2 + i*s and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 2*k + 62, 3*k + 56 = -404046*r + 404042*r - k for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/23, -1, 0.5, 100\/7 in ascending order.\nAnswer: -1, -1\/23, 0.5, 100\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22803, 45576, 68345, 91110?\nAnswer: 113871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in 7.108, -1\/8, 3, -1?\nAnswer: 7.108","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1507 plus -0.1788?\nAnswer: -3.3295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1\/4))\/w)**(2\/41)*(w\/(w\/w**(-20)))\/(w**(-2\/3)\/w*w) assuming w is positive.\nAnswer: w**(-4753\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -799011833 + -733.3\nAnswer: -799012566.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -333*t + 323279 = 13251 - 21973. What is the remainder when 3990 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96927422.\nAnswer: 2, 48463711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-30)\/24)\/(1\/(-28)). Round u to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + -23. Let d(v) = 5*v + 2*v**2 - v**3 - a*v - 5 - 6*v**2 + 4*v. Let n be 5\/((2 - -1)\/(-3)). Determine d(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -392*g + 2100. Determine x(5).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -16, 12 in decreasing order.\nAnswer: 12, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 4, 2\/31, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 689002502 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -174282 divided by -24\nAnswer: 29047\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 h when two letters picked without replacement from {h: 3, m: 7}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (14\/8)\/(-7)*4. Let s(c) = -40*c - 1. Let z be s(a). What is the highest common divisor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4708 is divided by 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3006 is divided by 365?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**5\/30 - 5*s**4\/6 + 3*s**3 - 20*s**2. Let i be d(9). Suppose 9*x - 1367 - 10 = i. Is 19 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 0*n + 7065*n**2 + 2 + 7067*n**2 - n**3 - 2*n - 14132*n**2. Calculate b(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/10)\/(6\/(-20)). Let z be (p + 4)\/(-11 + 9). Which is smaller: z or 1\/636?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24397740 rounded to the nearest 1000000?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and -907733007?\nAnswer: 907733008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003261397 to four decimal places.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -247813.9558 + 5.\nAnswer: -247808.9558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12151 and 2700364.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 208161\/4285 - -18\/857. Let n = -49 + i. Let o = -4\/49 + -3\/49. Put -4, n, o in decreasing order.\nAnswer: o, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1537 is divided by 128.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from llllqqqqqlll.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 9*b**6\/40 + 3*b**5\/10 - b**2 - 25*b. Find the third derivative of c(n) wrt n.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = z - 4*h + 5, 3*z + 3*h - 15 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + -4. Let d(r) = -8*r**3 + 4*r**2 - 10*r + 5. Let q(z) = -15*z**3 + 8*z**2 - 19*z + 9. Let v(a) = b*q(a) + 11*d(a). Is v(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*f - 51. Let t = -2 - f. What is the tens digit of t\/60 + 590\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2262804 and 11.28131.\nAnswer: -2262792.71869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 67 + 1 = 0. Let u be (-6)\/4*p\/51. Which is the nearest to u? (a) -17 (b) 5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1638691\/42 + 39014. Find the common denominator of j and 17\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence prze when four letters picked without replacement from {r: 1, z: 6, e: 3, p: 3, o: 1}.\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**2 - 2*r. Let b(u) = u - 1. Let x(o) = -4*b(o) - 2*i(o). Let g(p) = 2*p**2. What is x(g(s))?\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + n + 63 = -2*n, n + 46 = 3*u. Find the second derivative of -u*d**3 - 17*d**4 - 14*d**3 + 27*d + 29*d**3 wrt d.\nAnswer: -204*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*y - 24*y - 70. Suppose -y*r - 6205 = -31*r. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13074276 divided by 1?\nAnswer: 13074276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(95) - ((sqrt(95) - (sqrt(95) + (sqrt(95)*2 - sqrt(95)))*-5) + sqrt(95))))\/(sqrt(20)\/sqrt(16)*-1).\nAnswer: 44*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*g = -95*g - 4050. What is the smallest common multiple of g and 50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 12*c**2 - c - 18. List the prime factors of q(5).\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wr when two letters picked without replacement from {s: 1, r: 2, w: 1, t: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 771 times -4.601?\nAnswer: -3547.371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 5*z**2 + 2*z + 2. Let j be o(-4). Let r = j + -91. Let u = r + 565\/7. Is u at least as big as -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 10:01 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 45004, 45013, 45028, 45049, 45076, 45109, 45148?\n\"Answer: 3*h**2 + 45001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102871, 208800, 314731, 420664, 526599, 632536?\nAnswer: 738475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -8 (b) 70084 (c) 32\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(((q*q\/q**(3\/14)*q)\/q)\/q))\/q)**(-25)\/((q*q*q**(4\/17)*q*q)\/(q*q*(q*((q*(q**(-3)*q)\/q)\/q)\/q)\/q*q)) assuming q is positive.\nAnswer: q**(3429\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjqrrrkrrrrk. Give prob of sequence qr.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/13)*y\/y**3)\/(((y*y**7*y)\/y)\/(y\/(y**3*y)))*y*(y**(-3)\/y*y)\/y*y*y\/y**7*y*y**5*y**(-7)*y assuming y is positive.\nAnswer: y**(-275\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 4*o**4 - 8*o**4)*(15 - 11 + 42)*(-3 + 3 + 1).\nAnswer: -184*o**4 + 92","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1d7ba (base 14) to base 10\nAnswer: 75624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*b - 1474 = -2553 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 57*j + 33. Let l(q) = -7*q - 4. Let i(r) = -33*l(r) - 4*z(r). Let o(w) = -4*w**2. Determine o(i(b)).\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*f - 1 + 28*f - 122*f.\nAnswer: -61*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*(p**(3\/22)*p)\/p*p*p*p**(-2\/13)*p assuming p is positive.\nAnswer: p**(1139\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -a - 96. Let i = -18 - -18. Is 2 + (a - 0) - i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-210.194\nAnswer: -630.582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -1)\/((-10)\/3 + 3). Suppose 4*s + u*z - z - 108 = 0, -3*z + 62 = 2*s. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2542149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 3*f - f**3)*(-19 - 7*f**2 + 19).\nAnswer: 7*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -p**5\/10 - 5*p**4\/6 + 677*p**2 - 3789*p. What is the first derivative of o(g) wrt g?\nAnswer: -6*g**2 - 20*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(972) + sqrt(972)*-2))\/(sqrt(486) + sqrt(486) + 1*(sqrt(486)*2 + sqrt(486) - sqrt(486))) + -1.\nAnswer: -1 + sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 179492, 179490, 179486, 179480, 179472?\n\"Answer: -m**2 + m + 179492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1822, -2, -1, -9, 5 in descending order.\nAnswer: 1822, 5, -1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/3388, 3\/5, -5 in decreasing order.\nAnswer: 3\/5, 3\/3388, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*n + 73 = -23. Let b be (106\/8)\/(1\/4). Find a such that -55*a - a**n + 3*a**2 + b*a + a**3 - a**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 79076*j + 1502397. Determine h(-19).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/9*(-364)\/(-910)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**4 + 4*c**2 - 4*c**2)*(5 + c - 5) + 2976 - 2976 + 51*c**5.\nAnswer: 52*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b5 - 1?\nAnswer: -2b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2306817 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37351*v + 76*v**2 - 6 - 74692*v + 37342*v to the form o*v**2 + d*v + y and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 253615 divided by -1?\nAnswer: -253615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 3*f - 3. Suppose h - f = -0*h. Suppose -h*d + 5 = -2*d. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 823 - 823. Solve -45*c + 33*c = y for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11803 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -507, -1716, -3749, -6600, -10263, -14732, -20001, -26064?\nAnswer: -32915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/9 and 43\/2710?\nAnswer: 24390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18570*r**4 - 9404*r**2 - 260133426 wrt r.\nAnswer: 74280*r**3 - 18808*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/3 - 12\/36. Let p be b\/22*28\/7. Let a be (-2*(-1)\/12)\/(10\/(-75)). What is the second smallest value in a, p, -8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 1303*g + 7776. Let b be r(-6). Let u(d) = -d + 2. Let v be u(3). Sort v, b, -4, -5 in decreasing order.\nAnswer: v, -4, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**3 + 316*z**2 - 65*z**2 - 85*z**2 - 71*z**2 - 59*z**2.\nAnswer: 3*z**3 + 36*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1224 - -1318. Which is smaller: d or 95?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*z - 8094 = -52*z - 28*z + 2760 for z.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j + 4 - 2*j + 3*j - 3 + 6*j to c*j + y and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -751469, -1502982, -2254495?\nAnswer: -3006008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 0.077, 0.1 in decreasing order.\nAnswer: 4, 0.1, 0.077, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s. Let t(u) = u**2 - 2*u - 79. Let c be t(-8). Let b(k) be the second derivative of -k**4\/12 + k**3\/6 + k. What is c*y(z) + b(z)?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/(-60))\/(126\/120)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-4))\/(2\/124). Let i = -27 + g. Suppose -f - i = -7. Solve -f + 0 = 3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 20 - 24. What is the greatest common divisor of 4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32942981 to the power of 1\/2, to the nearest integer?\nAnswer: 5740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/3*1\/(-1). Let y(s) = -16*s**2 + 38*s + 29. Let p be y(3). Is w greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -13*d - 6*d**2 + 41*d + 28 - 14*d - 11*d + 2*d**2. Let x(i) = -i**2 + i + 9. Give -2*a(h) + 7*x(h).\nAnswer: h**2 + h + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -17. Let t be ((-9)\/i)\/((-9)\/(-36)). Let r be 10\/(t\/6 + 2). What is the highest common divisor of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13304542540 + -5?\nAnswer: 13304542531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (0 + 28900)\/(1314\/657)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b. Let p(o) = 4*o + 6. Let s be p(-15). Let x be (-160)\/(-9) - 12\/s. Let v(m) = 6*m**2 + 5*m**2 - x*m**2 - 13*m**2. What is v(t(q))?\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + q - 5*i + 27 = 0, 0 = 2*q - 4*i. Solve 4*u - 2*h + 8 = q, h = 4*u + 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 2 + 12. Suppose 0 = a*i - 0*i - 10. Solve 20 = -5*n - 2*y, i*y + 8 = -0*n - 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u = -3*q - 76 + 58, -5*u = 3*q + 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1539)*4 - sqrt(1539)) + (-2*(sqrt(1539) + 1))**2.\nAnswer: -36*sqrt(19) + 6160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 38.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 368 - 344 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*b + 51*b - 68*b = -3984 - 402 for b.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.01068 or -0.095?\nAnswer: 0.01068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -2*a - 3*m + 10, -4*m + 12 = 2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000155 to 6 decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1250*a = 3*i + 1252*a, 0 = 3*i + a for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xppapaaaffpaxfafaf. What is prob of sequence fpx?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166 divided by 1.\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -c**7\/840 + 101*c**6\/480 - 539*c**5\/48 + 2401*c**4\/32 - c**2 - c + 743. Suppose o(s) = 0. What is s?\nAnswer: 0, 3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 4*p - 43. Let w = p - 14. Let k(n) = 2*n - 4. What is the units digit of k(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79 - -82. Solve 0*q + u = q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 809, 1661, 2545, 3461, 4409, 5389?\n\"Answer: 16*t**2 + 804*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.5 (b) 3 (c) -8 (d) 3\/7 (e) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - -1*sqrt(84)*3)\/sqrt(7))\/(5*(sqrt(6) + 3*sqrt(96)))*-6.\nAnswer: -24*sqrt(2)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.3 - -7. Let b = 69 - 203. Let p = 1208\/9 + b. Put p, f, -5 in ascending order.\nAnswer: -5, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*((sqrt(405) + sqrt(405)*-1)**2 - sqrt(405)) - (1 + -5 + (2 + sqrt(405) - sqrt(405)))**2)*1.\nAnswer: -5 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 12.4. Sort 3, -0.3, u in decreasing order.\nAnswer: 3, u, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*t + 19*t = -6438. What is the greatest common divisor of 407 and t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 0 - z**2 - 2*z - 5 + 0*z**2. Calculate i(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 603623563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*m**2*u**2 + 2*m**2*u + 674*m**2 + 12*m*u + 689294*u**2 + 73*u wrt u?\nAnswer: -8*m**2 + 1378588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 6. Let b = -1 - j. Let o = b - 1. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -1)*3\/6. Suppose b*s - 25 = -s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 7:48 PM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*g**3 - 496*g**3 + 250*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 8*d**2 + 1. Let y be (-14)\/91 - (-106)\/13. Let b be l(y). Let c be (-32)\/(-63) + (-4)\/14. Do c and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2417 + -2412. Suppose 0 = 6*l - 2*l - 316. Suppose -3*i - l = -x*h + h, 3*h - 58 = 2*i. What is the least common multiple of h and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 7:34 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 12*v + 23. Let b be a(-10). Suppose 0 = -2*c - 8, 2*p + b*c = 2*c. What is the units digit of (p\/(-3))\/((-2)\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (13 + -13 - -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**3*p - 69*o**3 - 6*o**2*p - 2*o**2 - 4*o*p + 80*o + p - 1 wrt o.\nAnswer: -6*o*p - 414*o - 12*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - 0. Let g(h) = -7*h - 2. Let i be g(2). Let u = i - t. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2530 + -2368. Solve -157*y + 10 = -p*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.96469 times -12?\nAnswer: -179.57628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39232 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j + j**3 - 6*j)*(-30 + 30 - 12*j**2).\nAnswer: -12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*((-18760)\/(-88) + (-8)\/44). Let z = b - -1277\/6. What is the smallest value in z, -3, -3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m + 12*m + 27 = 0. Let n be 6*m + 2 + (-56)\/(-7). What is the greatest common factor of n and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4435*o**2 - 4407*o**2 - 1058*o**2.\nAnswer: -9900*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**4 + 276*p**3 + 40254*p**2 + 664876*p - 2364285 = 0?\nAnswer: -89, -23, 3, 385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 6*y + 3. Let j(v) be the second derivative of -v**3\/6 - v**2\/2 + v. Let s = -2 - 1. Let o(q) = s*j(q) - w(q). Let x(g) = g. Determine o(x(n)).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*-11.21.\nAnswer: -100.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**4 - 25249*d**3 - 94004*d**2.\nAnswer: 48*d - 151494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 16 - (-230 + -308 + 504)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h + 2. Let z be (48\/(-3))\/(2\/(-32)). Suppose 0 = 4*t - 2*g - z, 3*g = -5 - 7. What is the remainder when t is divided by j(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-80)*18\/159. Let z = -34639\/11130 + p. Find the common denominator of 5\/27 and z.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 7 = -48*q, 6*p - 6 + 27 = 3*q + 3*p for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ecgeooeezgzggc. What is prob of sequence zg?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 5*t + k - 2*k, 0 = t + 5*k - 13. Let g(l) = -l**2 - 7*l + 6. Let a be g(t). Calculate the common denominator of (-434)\/(-63)*a\/8 and -83\/70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/291? (a) 1\/2 (b) -0.2 (c) 4 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, t: 4, d: 1, s: 5, q: 2, e: 2}. Give prob of picking 1 t, 1 d, and 2 s.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -q - 7 - 42 + 0*q**2 - q**2 + 22 in the form o + x*q**2 + i*q and give o.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -13*k + 332. What is c(24)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v**2 + 23*v - 59. Give f(-12).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o + o - 13 = 0. Let q be (1 + -2 + o)*-1. Solve 2*m + 5*i + 35 = q, m + 3 = -i - 7 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 7*a**2 - 415*a + 2910. What is q(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3020*t**2\/3 - 72524*t + 220592\/3.\nAnswer: -4*(t - 1)*(755*t + 55148)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**5\/50 - 2*s**4\/15 + s**3\/5 + 18*s**2\/5 - s + 44. Let h(z) = 0. Calculate z.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -47. Suppose -4*k + r - 36 = 0. Sort 5, -5, k, 0 in increasing order.\nAnswer: -5, 0, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, g: 9, z: 1}. What is prob of picking 3 g?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a - 3. Let b be k(2). Suppose 0 = -b*u + 176 + 4. Is 20 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/(5655\/(-58))*(-2)\/(-4)*7?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13 + ((-102)\/85)\/(4\/10). Solve -b*y = -6*y + 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(95) - 6*1*sqrt(95))*-4)\/((sqrt(80)*3*1 + sqrt(80))*-3).\nAnswer: -25*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -1. Let p = 2 + -3. Suppose -24 = -2*a - 10*a. Let j(u) = -2*u + 2*u + a*u - u. Give p*j(n) - 2*h(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m + 6*m + 40 - 40.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 6*b**2 - 23*b - 149. Let g be p(-6). Let z(i) = -3*i**2 - 33*i + 5. Determine z(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*a = 431 + 559 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/1)\/(3*(-1)\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 40*b + 3 + 68*b)*(3*b - 7*b + 10*b).\nAnswer: 666*b**2 + 18*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -143, -381, -715, -1145?\nAnswer: -1671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjzzjjzz. What is prob of picking 2 j?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1225\/10)\/7)\/((-1)\/(18\/(-45))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 15\/57178 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -29 + (44 - 86) + 30\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(432) - 6*sqrt(192)) + (sqrt(3) - (sqrt(3) + sqrt(9)\/(sqrt(21)\/sqrt(7)))) + sqrt(3) + sqrt(18)\/(sqrt(6)*-5).\nAnswer: -481*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**3\/5 + 21*c**2\/5 - 48*c\/5 - 336\/5 = 0. What is c?\nAnswer: -7, -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 1 + 4*u**3 - u**2 + 1 + (3 - 3 - 2*u**2)*(-4*u - 2*u + 4*u) - u**3 + u**3 - 2*u**3)*(-6 - 16 + 1).\nAnswer: -126*u**3 + 42*u**2 - 42","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 7*f - 90. Let t(a) = -58*a. Give t(g(q)).\nAnswer: -58*q**2 + 406*q + 5220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125, 757, 1807, 3275, 5161?\nAnswer: 7465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**3 + 64*a**2 - 121*a - 106. Determine g(-34).\nAnswer: -616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.32854 to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 9. Let g = z + -24\/11. Let h = 0.9 - 0.4. What is the nearest to -4 in g, h, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25908 + 26208.97. Let u = 301 - b. Suppose 0 = 2*i - 15 + 17. Are i and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, o: 4, n: 2, d: 2}. Give prob of picking 2 d, 1 n, and 1 h.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 12:13 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.07 (b) 0.2 (c) -1\/4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*u = 5262 - 977, 4*h - 5*u = 5744. Suppose 36*p + h = 6867. What are the prime factors of p?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-396)*14392\/(-10794)?\nAnswer: -1\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 171351757?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 6 + -12 + 6 - -31\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 578?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 0*f - 13 = -0*i + 4*f, 14*i - 5*f - 105 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 2. Let z = 12 - 7. Suppose 2*m - 4*m - 6 = -w, -z*m - 15 = w. What is o(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 16*p + 55. Let v be t(4). Let c be (6\/(-4))\/(3\/(-68)). Differentiate 1 - v - c*b + 47*b wrt b.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 5*w**2 + 13*w + 67. Let x be n(-5). Sort -6, -226, x, -2 in decreasing order.\nAnswer: x, -2, -6, -226","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33094?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**22\/(c*c**21) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -603, -2305, -5117, -9033, -14047, -20153, -27345, -35617?\n\"Answer: m**3 - 561*m**2 - 26*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**4\/12 + c**3\/3 + c**2\/3 - 21. Solve h(q) = 0 for q.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 2*81738\/64. Let t = y - 2552. What is the common denominator of (-185)\/(-6) + (-1)\/3 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 673bc?\nAnswer: 673be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10637 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 17*m - 37*m + 17*m. Let a be -2 + 0 + 3 - -3. Let z(x) = -5*x + 4*x + x - a*x**2. What is z(h(c))?\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f - 22*f + 5*f + 11*f + 4*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + 1*sqrt(475) - ((sqrt(19) - 1*sqrt(19)) + 4)) + sqrt(1216)*2 + -2 + -5 + 1)*-2.\nAnswer: -44*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58 (base 9) to base 15.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.95 + 14.26. Let l = -15.69 - w. What is the nearest to 1 in 1, l, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/95)*q*q*q**(1\/43) assuming q is positive.\nAnswer: q**(8179\/4085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/10)\/((-4)\/(-70)). Let j = 36 - g. Suppose 3*n - j = -3*y, -2*n - 4*y = 3*n - 24. Do n and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -50 + 99 + -58?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 9*f + 5. Let l(o) = -2*o - 1. Let s(y) = -i(y) - 4*l(y). Suppose 8 = x - 0. Let r = -14 + x. Calculate s(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.393336 rounded to 3 decimal places?\nAnswer: -0.393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 169714 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*w**6 + 6*w**3 + 3*w**2 + 236*w wrt w?\nAnswer: 3960*w**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 702.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-9)*(270\/63)\/((-95)\/(-399))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (875*z**2 + 3*z + 197 + 869*z**2 - 1743*z**2)*(-3*z + 4*z - 2 + 4).\nAnswer: z**3 + 5*z**2 + 203*z + 394","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/1466 at most 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20091863*t + 326 + 40183718*t - 20091854*t.\nAnswer: t + 326","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -21*g**5\/10 - g**4\/6 - 13*g**3\/6 + 3*g**2 - 6*g. What is the second derivative of w(y) wrt y?\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**4\/108 + 6*w + 3. Factor q(z).\nAnswer: z**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + a**2 - a - 17. Is k(4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57375 and 7875?\nAnswer: 401625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 3283) + (1 - 3\/(-1)). Let p = -279 - y. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 53794.18 millennia?\nAnswer: 645530160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 5135.\nAnswer: 20540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 104*p**2 + 72*p - 3164. What is m(-103)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.22, -2, 4, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r*r**(-7)*r))**(-17\/4)\/((r**(1\/2)\/r*r*r*r)\/((r*r*r**(-2\/13)*r)\/r)))**37 assuming r is positive.\nAnswer: r**(-42143\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((210\/27)\/(-5))\/(612\/(-2754)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -77 - -82. Let i = 39 - 21. Suppose -i*y = -l*y - 208. What is the smallest common multiple of 10 and y?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 7*i - 244. Suppose 4*y + 27 + 18 = 3*l, 2*y + i = 5*l. Suppose 2*g + 72 = 4*o, -2 = o + 4*g - l. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 11\/7, 0.2, 10, 0 in descending order.\nAnswer: 10, 11\/7, 0.2, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10791 + 2869 = 4*z. Let n = 805 + z. Round n to the nearest 100.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(147) + 2)*-6 + ((sqrt(147) + 0)**2 + 2)*-4 + -4.\nAnswer: -672 - 252*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 5*a**2 + 2*a - 45. Let m(o) = -15*o**2 - 7*o + 126. Determine -4*m(l) - 11*x(l).\nAnswer: 5*l**2 + 6*l - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 8*c - 5. Let z be s(7). Suppose 4 = -2*r, b + 2 = 2*b - r. Which is smaller: z or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8406587700 to the power of 1\/6, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 97 - 127. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2195298, -4390594, -6585890, -8781186, -10976482, -13171778?\nAnswer: -15367074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24901965 a multiple of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 164*g**2 + 867*g + 396. Give p(6).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 413 by -59.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (11 + -11 + 2)) + (2 - -5)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 557650902.\nAnswer: 2, 3, 37, 2511941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 5, -3, 0.4572?\nAnswer: 0.4572","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 49894 - -1?\nAnswer: 49895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -550*n - 467*n - 2*n**2 - 59*n + 1747 + 270 + 147 - 2*n**4 wrt n?\nAnswer: -8*n**3 - 4*n - 1076","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + r - 2*r + 20)*(r**3 + 4*r**3 + 4*r**3) + 0*r**4 + 0*r**4 - r**4.\nAnswer: -10*r**4 - 54*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**(5\/3)*j))\/j*j**0)\/(j*(j**1\/j*j)\/j)**(1\/17))**36 assuming j is positive.\nAnswer: j**(-1668\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -2877?\nAnswer: -2872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15124035 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -b + 55*b - 20*b + 14 in the form f + r*b and give r.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-9484)\/13200 + (1 - 9\/11) and -77\/120?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 - 3041.0625\nAnswer: -3075.0625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231*a**3 - 436*a**3 + 246*a**3.\nAnswer: 41*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 28211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 8 = g, 4*h = 3*g - 5*g + 12. Solve 2*k + g = -6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/2 and 77\/78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 61 + 306?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*h = 46, 4*a = 2*a - 2*h - 26. Let y(w) = -w**2 + 19*w + 17. Let q(g) = g**2 - g. Let s(d) = -2*q(d) - y(d). Does 4 divide s(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 - -2. Let p = 3 - y. Sort 0.1, 1\/3, p in descending order.\nAnswer: 1\/3, p, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 4265.\nAnswer: 12795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n**2 + 105*n - 76. Let j be p(-27). Put j, 18, 3, -5, -4 in ascending order.\nAnswer: -5, -4, 3, j, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 u, and 1 j when three letters picked without replacement from jztut.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -475 + 1998692206\nAnswer: 1998691731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -51 (base 6) to base 2\nAnswer: -11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0863 and 0.5.\nAnswer: 0.04315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 167871 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -11*p. Suppose p*q - q = -4. Suppose -q*v - 3*j = v + 7, -2*v - 3*j - 10 = 0. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00895002 rounded to four decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 117*i*y**3 + 463*i*y**2 wrt y.\nAnswer: 702*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4032934, 8065866, 12098794, 16131718, 20164638, 24197554, 28230466?\nAnswer: 32263374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 230017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 82 + 4 = -3*a, -3*a - 87 = -3*c. Let d = -25 - a. Factor 11*q - q**3 - 2*q**4 - 11*q + d*q**3 + 4*q**2.\nAnswer: -2*q**2*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3980 or 1\/2?\nAnswer: 3980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -615*t**2 + 54*t + 7. Let x(p) = 611*p**2 - 53*p - 5. Let n(d) = 2*j(d) + 3*x(d). What is the second derivative of n(s) wrt s?\nAnswer: 1206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9361 and 222.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 7*q = 16*q - 155, g + q = -45 for g.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-50)*((-330)\/(-16))\/3?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1076405655 and -0.3.\nAnswer: -0.1923594345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -310, -1074, -2222, -3766, -5718?\nAnswer: -8090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2195 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 2\/11, -8 in ascending order.\nAnswer: -8, -2\/11, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 356*a - 1334. Suppose 0*j - j = -3*d - 15, 5*d + 88 = 4*j. Calculate the smallest common multiple of j and i(4).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 2311496\nAnswer: -2311495.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2350858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/2 + 72\/48 - -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131736959.\nAnswer: 53, 733, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1364 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 64039 and -834.\nAnswer: -53408526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -1511505713746?\nAnswer: 1511505713746.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 239520?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + -1 + 315\/9. Suppose l - t = -5*m + m, m + 9 = -4*l. Solve m - 1 = 5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 1, 1709, 10 in increasing order.\nAnswer: 1, 10, 41, 1709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 200243, 200253, 200263, 200273?\n\"Answer: 10*n + 200233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212121220 (base 3) to base 12.\nAnswer: -9b73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - v = 4. Let n be 654\/(-4) - (-6)\/4. Let l = n + 977\/6. Which is the biggest value? (a) v (b) l (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -408, -1833, -4248, -7689, -12192, -17793?\nAnswer: -24528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4298177255.\nAnswer: 5, 859635451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 280 and 945?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*k - 56, 2*c - 108 = -2*k - 2*k. Let i be (-5)\/(-5) - (0 - k). Let q = 47 - i. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 13*n**2 - 7*n + 8. Calculate the remainder when z(3) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -2460.\nAnswer: 1\/492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 - 4*o. Let m be f(3). Let l be 18 - (-12)\/(m\/1). Suppose -25*n + l*n + 30 = 0. Is n even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 - 3. Let l be o(2). Suppose 11 = -l*n + 26. Suppose -5*g = 4*i - 529, -3*i = -2*i - n*g - 128. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.94 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 4*g - 2. Suppose 0 = -14*y + 19 + 37. Suppose 0 = -4*s + 4*l - y, -2*l - 2*l + 28 = 4*s. Calculate h(s).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ol when two letters picked without replacement from {l: 5, i: 7, o: 2}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -45*o + 8. Suppose 34*u - 72 = 75 + 125. Let d(g) = 15*g - 3. Determine u*d(h) + 3*i(h).\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 735775573.\nAnswer: 13, 1409, 40169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -416 - -417. Which is the closest to g? (a) -1\/3 (b) 0.5 (c) -5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*t + 25414, -5*t - 3*m = -42026 - 337. Suppose 10*p - t = 8458. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/2)\/(-1))\/(((-1197)\/(-152))\/21)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9a163 + 19?\nAnswer: -9a146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 17 = v, o - 2*o - 12 = -2*v. Suppose -v*p = -p - 396. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + l**2 + l + 2. Let i be j(0). Suppose 0 = 5*m - z - 4*z - 5, 4*m - i*z = 12. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 446783?\nAnswer: 163, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 965*d - 968*d + 33, -5*d + 63 = -4*j for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13817094?\nAnswer: 2, 3, 131, 17579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-22)\/2 - (-2 + 1). Let u be (-242)\/v - 2\/10. Suppose 0 = 5*j - 45 + 5. What is the highest common divisor of u and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1697, 15696, 53841, 128204, 250857, 433872, 689321?\nAnswer: 1029276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 87\/(-10) + 1 - 0. Let m = 11402\/5 - 2273. Let t = k + m. Find the common denominator of t and 67\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3 = -4. Let l = -4.5 - -0.1. Let v = l - -4.4. Which is the closest to u? (a) -2\/7 (b) v (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -827\/76 at most as big as -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -9 - (-134 - -134).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -11. Suppose 12 = 5*h - 4*k - 10, 2*k + r = 4*h. Suppose 0 = -3*s + j + 10 - 0, -j + 2 = 3*s. Solve -2*q - h = s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7744 and 83336?\nAnswer: 7333568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1463\/418)\/((-2)\/(-120)*21).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 3:35 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2233 + -31?\nAnswer: 2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1746798 * 2\nAnswer: -3493596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -553962 less than -553960?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -124*x - 34112. Determine s(-275).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d**2 - 2*d + 14. Let o(j) = -j**2 + 2. Let k(g) = n(g) - 6*o(g). Suppose y = -3*w + 21, -2*w - 3*w + 52 = -4*y. List the prime factors of k(w).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 1. Let g(k) = 4*k + 5. Let m(l) = g(l) - 6*w(l). Let f be (-1)\/((-24)\/(-5) - 5) + 4. Determine m(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5 + 15*g - 10*g - 5. Let m(b) = b. Give r(m(c)).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 1:22 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 292, 78021, -3 in descending order.\nAnswer: 78021, 292, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(16) - 2*sqrt(16)*1)\/(3*sqrt(32)\/sqrt(4)))**2.\nAnswer: 47\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/(-2)*(2484\/(-31671))\/(4\/(-438))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 - (1 - 4)) + 144. Suppose 43 = -3*l + n. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 3:26 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 10*d**2 - 12*d + 5. Let t be p(-11). Let u be (1\/2)\/(t\/(-128)). Let a = 1 - 2. What is the nearest to -1 in u, a, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51\/11 greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-13)\/j**(-2\/23)*((j\/(j**(-1\/2)\/j))\/j)**(-1\/64) assuming j is positive.\nAnswer: j**(-38085\/2944)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1469 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 44 = -34. Let a be (11\/(-2) - -6)*r. Solve 2*t = 5*h - 2*t + 12, 9 = a*h + 3*t for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 290286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -342101.3616 rounded to the nearest 100?\nAnswer: -342100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-4)*261\/(-145)*-2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3611 - 1466011?\nAnswer: -1502622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 100*h + 2426. Determine f(40).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i + 60 = 11*i. Find the common denominator of -77\/26 and 3\/4*452\/i.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (36 - 2*c - 6 - 13)*(1 + 3 - 6) to a*c + v and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 9*s**2 - 4*s + 10*s**2 - 8*s**2 - 16. Let n be c(9). Suppose v - n = 818. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85, -104, 135 in increasing order.\nAnswer: -104, 85, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j = 20*j + 8. Let u be (-1)\/(38\/(-8) - j). Let h be 1*2\/8*4. Which is smaller: u or h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -25618 and -25617 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.328 - 0.32977. Round m to four decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -125, -265, -525, -941, -1549, -2385, -3485?\nAnswer: -4885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -855136 by 26723.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 0 + 1 + 2. Let r(n) be the third derivative of n**5\/15 - n**4\/24 - n**3\/3 + 11*n**2. What is r(t)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/2 - 3 - -4. Suppose 0 = 5*y - f*y + 11. Suppose 0 = 3*i - 6*i - 12, 5*t = -4*i - y. Solve x = -0*x + t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -252099 and 4982.21087?\nAnswer: 257081.21087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*-1*sqrt(225))\/(sqrt(5) + (sqrt(60)\/sqrt(6))\/sqrt(2)).\nAnswer: -3*sqrt(5)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23212322 - -30101?\nAnswer: -23122221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 59136367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22419569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13904286.\nAnswer: 2, 3, 11, 210671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -470*z**2 - 469*z**2 + 942*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 550\/(-121) + 12\/22. Which is the closest to -1\/4? (a) n (b) 1\/3 (c) -13 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 112 - 112 - 29*h**3 + (3*h**2 - 6*h**2 + h**2)*(0 + 0 + 2 + h) in the form o*h**2 + s*h**3 + t + i*h and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 0. Let d(q) = 14*q - 1. Let x be d(1). Let u = x + -10. Calculate the highest common divisor of g and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 11:24 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -7) + (1 - -5) - 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 274 + 14*k**2 + 22*k**2 - 63 - 3*k**2 - 37*k**2 in the form j*k + f + p*k**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 186.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.728268 litres?\nAnswer: 1728.268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(((q*(q*q\/(q\/(q\/q**4)))\/q)\/q)\/q))\/q**8*q**(-5\/2)\/(q\/(q**(-6)\/q*q))*(q\/q**2)**(-27)\/((q*q**(-8\/3))\/q**4) assuming q is positive.\nAnswer: q**(127\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*j + 31. Solve 3 = 3*y + 3*s + 27, y - 3*s - j = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a - 3*a + 12 + 2*a. Let y be u(6). Let p be ((-2)\/y)\/(4\/24). Is p greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 55.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*p + 16 = 2*n, -4*n + 57 = p. Suppose -n*d - 2498 = -q - 8*d, -2*q + 5*d = -5001. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 861 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -14. Let r(s) = 3*s**3 + 10*s**2 + 12*s - 26. Let y(z) = -z**3 - 3*z**2 - 4*z + 9. Let p(n) = 4*r(n) + 11*y(n). What is p(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341*b = -351*b - 10. Let o(p) = 9*p**3 + p + 1. What is o(b)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1889*o - 1889*o + 6965*o**2.\nAnswer: 6965*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/19)\/f**4*(f*((f**0*f)\/f)\/f*f*f)\/f**(-1\/5) assuming f is positive.\nAnswer: f**(-161\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1064397841897 from -1.9.\nAnswer: -1064397841898.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96618 by 6.\nAnswer: -16103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -2) + 4 + 3 + (-23 - -24).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*l - 27. What is the tens digit of (-4)\/(-18) - (-534)\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3645 bigger than 3644?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 42 times 75.7\nAnswer: 3179.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13, -5, -1?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 136298456 to the power of 1\/3, to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -607 + -633. Let o = 1994 + k. Is 26 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + s - 17. Give p(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.696 + 0.304. Sort 2\/17, -5, a, 8 in ascending order.\nAnswer: -5, 2\/17, a, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15304931 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000284513 to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80810 or 80662?\nAnswer: 80662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 1 - (-8 + (2 - 12))) + 5.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -19290 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -88*m**5 + 31*m**4 - 2*m**3 + 257210*m wrt m?\nAnswer: -1760*m**3 + 372*m**2 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*j - 5. Find the first derivative of 1373*r**2 + 6*r**4 - 47*r**j + 43 - 1373*r**2 wrt r.\nAnswer: -164*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -9a8?\nAnswer: -a01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 2*x - 21 - 2, 4*t = x + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 928 + -223. Calculate the highest common divisor of w and 141.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*u**3*x**5 - 2*u**3*x - u**3 - 2*x**5 + 57*x wrt x?\nAnswer: 560*u**3*x**3 - 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1911 by -637.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 76*g + 29. What is the remainder when m(-8) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (12 - (8 - 3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225 = -221*n + 880 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41706 and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**34*t)**(1\/31))**(-2\/19) assuming t is positive.\nAnswer: t**(-70\/589)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11238, 22484, 33730, 44976, 56222, 67468?\nAnswer: 78714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 249 + 17 = -38*u. Let c(h) = h**2 - 6*h + 5. Let o be c(6). Sort -4, o, u in ascending order.\nAnswer: u, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92720434?\nAnswer: 2, 41, 1130737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 446 divide 368842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (10 - 45 - -20) + 30.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24234341\/672 + 36063. Calculate the common denominator of 103\/24 and k.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l = -77 + 60 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {p: 1, a: 1, h: 1, d: 2, o: 2, m: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 1 + j - 1 - 9*j. Suppose 12*i = 2*i + 20. Let w(q) = -i*q + q - 5*q + 4*q. Give s(w(a)).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.5914 to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7130*d - 18213*d - 2403*d to the form c*d + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 4. Let g be h(5). Let t be (g*7)\/((-4)\/124). Let v = 330 - t. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35480350?\nAnswer: 2, 5, 709607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/12*38)\/((-6)\/(-369)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - -4. Calculate the remainder when z is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10*((-136)\/(-20) - 0) + -3. Is 9 a factor of j - (10\/(-2) - -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 8. Let u(y) = 3 - 2*y + 4*y + 2*y + z*y. Let c be u(-2). Is c less than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005068 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274501 is divided by 24877.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -248*h**2 + 248*h**2 - 7*h**4 + (-3*h**3 + 2*h**3 - 2*h**3)*(11*h - 21*h - 33*h) to a + p*h + r*h**2 + o*h**4 + v*h**3 and give o.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 3072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33167*z**3 - z**2 - 1721*z - 4.\nAnswer: -199002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1728 + -1658. Solve y + 71 = z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - 129612\/(-1323)) + 7*(-24)\/(-5292)\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + 3)\/1 - -6. Suppose -f + t*f = 18. Let w = 33 - 17. Calculate the smallest common multiple of f and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 869796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*h + 5, 0 = -5*k - 10 - 15. Suppose -2*u + 9 = -3. Find the third derivative of t**2 - 5*t**2 + h*t**2 - 3*t**u wrt t.\nAnswer: -360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -311990019 * 4\nAnswer: -1247960076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -998*q - 3025*q + 689*q + 8009*q + 13967*q in the form a + y*q and give y.\nAnswer: 18642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 15 = 0, 0*d - 3*d + 5*c + 99 = 0. Suppose 144 + d = y. Suppose 2*t + 2*t = y. Calculate the remainder when t is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-457)\/1371)\/(-2 - (2\/323706 - 2)).\nAnswer: 53951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6324*u + 0 - 4513*u + 5750*u + 1.\nAnswer: 7561*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-8)\/144*3*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) -5 (b) -0.3 (c) -1\/7 (d) -613482 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10 - (-1770)\/175)\/((-24)\/(-28)). Which is the second biggest value? (a) 4 (b) -2\/247 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*j + 300*j + 34573 - 1229 = 2336 for j.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -14. Suppose p*u + u = 510. List the prime factors of u.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**4 + 4*b**2 - 12*b**3 + 6*b**3 - 2*b - 2 + 7*b**3 - 4*b**4 - 5*b to the form a*b + c*b**4 + u*b**2 + v*b**3 + r and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304347000 and 6000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3578655224?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fwf when three letters picked without replacement from {f: 3, a: 1, l: 1, w: 4, s: 9}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20871?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 307*p + 304*p + 1 = 0, 5*p + 40 = -5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3816115*b + 4002 = 3816173*b for b.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19719 by -3.\nAnswer: -6573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -6. Let c(t) = t**3 - 8*t**2 - 9*t + 4. Calculate the remainder when c(v) is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.47? (a) 1.14 (b) -1\/33 (c) -0.4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 28 + 18*l**2 - 11*l + 47*l + 80. Let k(v) = -v**2 - v - 3. Let d(m) = 3*i(m) + 108*k(m). Let s(c) = c**2. Give s(d(g)).\nAnswer: 2916*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*z + 3*a + 12 = -192*z, 5*a = 22*z - 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7277 + -6097?\nAnswer: -13374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.16 - 226.16. Let u = v - -222.75. What is u rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2321 - 2276. Solve 49*h - l*h = 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -3566 - -246058\/69. Suppose -o - 2*o = -c - 57, 2*c - 38 = -2*o. Suppose -o*u = -20*u - 1. Which is greater: u or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 3944980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 14*s**2 + 2*s. Let g(b) = 26*b**2 + 3*b. Calculate 2*g(z) - 5*u(z).\nAnswer: -18*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47*n**2 - 3384*n + 3384*n + (2 + 5 - 5)*(2*n**2 - 3*n**2 - n**2) + (0 + 0 + 2*n)*(-153 + 8*n + 153).\nAnswer: 59*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -26. Let a = d - 8. Let y = a - 8.99986. Round y to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 8 = 4*r, -6*r + 20 = -2*a - 2*r. Let l be (0 - (-10)\/a)*2. Let m(o) = -o. Give m(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 11. What is the closest to r in 2\/15, 7, 2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70 + (25 - 165) - (-23 + 0)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -27367.8 and -181.\nAnswer: -27548.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 340283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -871, 11 in increasing order.\nAnswer: -871, -2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 2*v**4\/3 - 29*v. Let r(x) = 25*x. Calculate a(r(o)).\nAnswer: 5000*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xs when two letters picked without replacement from igxocsgsggogo.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 871725625*q**2\/4 - 2863925*q + 9409.\nAnswer: (29525*q - 194)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06 - 0.01. Let h = r + -0.35. Let x = 0.5 + h. Which is the biggest value? (a) 1 (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 8. Let y(b) = -3*b**2 - 40*b. Let x be y(-10). Let u be ((-240)\/x)\/(4\/(-10)). Give z(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65377419?\nAnswer: 3, 31, 702983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 462 - 461. Let p = 3.97 - 4. Let r = 5.03 + p. Which is the second biggest value? (a) 2\/11 (b) z (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(2\/15)*p**(-2)*(p\/(p*p**4))\/p**(1\/5) assuming p is positive.\nAnswer: p**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.6, -0.4, 0.1, -549?\nAnswer: -549","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213203025 (base 6) to base 5.\nAnswer: 1432422403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0 - 5) + 2 - (4 - 34 - -23)) + 84?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from upuhpuuurqrpi. Give prob of picking 2 r, 1 q, and 1 u.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 8394579.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 - 27?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*g = -22, 3 = 2*g - 5. Is 40 + 2 + q + 0 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 5*x**3\/6 - x**2\/2 + 12*x. Let d(t) = -t**2 + 2*t + 1. Let i be d(0). Calculate l(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 59*d**3 - d - 144*d**3 - 184*d**3 + 251*d**3.\nAnswer: -18*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 25\/(-5) + -7 - (-1 - 2). Let k = 15 + x. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(171)*2 - sqrt(171)) + sqrt(171) + sqrt(171)))\/(sqrt(1089)*-2) + 5.\nAnswer: 9*sqrt(19)\/11 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592 is divided by 152?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 9:28 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lrl when three letters picked without replacement from {r: 7, l: 5}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + sqrt(605)*1)*4.\nAnswer: -4 + 44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 169*d - 677. Let l be p(4). Let j(m) = -m**2 + 1 - 2 - 4*m + 3*m + 13*m**3. Give j(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -155*l - 158*l + 607*l - 152*l - 146*l. Let f(d) = -d**2 - 38*d + 4. Calculate z(f(g)).\nAnswer: 4*g**2 + 152*g - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 9) in base 13?\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4585*-637\nAnswer: -2920645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -814, -935, -1202, -1687, -2462, -3599?\n\"Answer: -12*j**3 - j**2 - 34*j - 767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**3 + 105*j**2 + 231*j - 333 = 0. What is j?\nAnswer: -3, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34174 is divided by 34145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -1)\/(((-924)\/(-11))\/(-14))*(-91)\/(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aka when three letters picked without replacement from kaslkaaaaakll?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -10*n + 3920. List the prime factors of n.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**3 + j**2 - 3*j + 333. Let k be r(0). Let o = k + -225. What is the greatest common factor of 24 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kckc when four letters picked without replacement from {c: 5, k: 8}.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 5. Let j be w(-5). Suppose -3*v + 8*v - 85 = j. Solve -3*u - 4*n + v = 0, 2*n - 6 = 5*u + 9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-2))\/q)\/(q\/q**(-1\/2))*q**(-2\/5)*q**(-2\/23))\/((q**(2\/3)\/q**2)\/(q**(-1))**(-4)) assuming q is positive.\nAnswer: q**(929\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -279764, -559527, -839290, -1119053, -1398816, -1678579?\n\"Answer: -279763*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.09706338967 - 0.097064. Round r to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24630569 is divided by 6157623?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10316 and 38.\nAnswer: -10278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 797.872 - 795. Let j = y - 3. Round j to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 934\nAnswer: 7\/467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 8, -7 in decreasing order.\nAnswer: 8, -1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87416971 is divided by 27165.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 472762 = 180*w - 479677 + 4919. Does 30 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 7)\/((-69)\/46). Suppose 4*k + t = -0*k + 1196, x*k + 4*t - 1184 = 0. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 3.5. Let u = 2 + -5. What is the third biggest value in m, -1\/2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4207423.9 to the nearest 1000.\nAnswer: 4207000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456029238.\nAnswer: 2, 3, 7, 79, 167, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*v, 5*y + 140 = 4*v + 212. Solve -y*h + 141 - 45 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*t + 2096590 = 0, 2096615 = 3*d - 5*d + 3*t. Round d to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 823128.\nAnswer: 2, 3, 34297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109 + 158*t + 51 + 54.\nAnswer: 158*t - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 4*t - 72, 5*t - 29 = -2*j + 51. Solve -2*z - v = -6*v + j, 0 = -2*z - 5*v for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)\/l)**29*(l**(1\/12)\/l)**(-2\/113))**0 assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 475 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 24890*t**2 + t**3 + 2 - 24888*t**2 - 2*t**4 - 2*t as p*t**2 + i*t**4 + v*t**3 + x + m*t and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6120\/7 + -866. What is the common denominator of 1\/42 and g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 7*(3 + -2). Suppose 4*n + 0*z = -5*z - 31, -s*n - 17 = -z. Let q = n - -2. Which is greater: -3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33269221 times 3\nAnswer: 99807663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*c - 1, -5*w = -w + 2*c - 26. Solve n + 4*s + 9 = 0, w*n = 2*s - 5*s + 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14110 and 241160.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 2)*(2710*m**4 - 717*m**4 + 1428*m**4 - 478*m**4).\nAnswer: 5886*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14536 = -r + 3*l, 126*r - 130*r + 58240 = 4*l. Calculate the greatest common factor of 19 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 6 = 2*j. Suppose 15 = j*c - c. Let h(d) = -d**2 - d + 2. Calculate the remainder when c is divided by h(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -f + 56, -5*f + 6*t - 8*t = -395. Suppose 4*j = 3*b - 42, 5*b - 36*j - f = -33*j. Solve -b = -11*w + 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -214*q**4 + 4*q**2 + 7*q - 4. Let x(g) = g**4 + g**2 + 5. Let k(y) = n(y) - 4*x(y). Find the second derivative of k(j) wrt j.\nAnswer: -2616*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50450235 - -71588888662\/1419. Let y = p - -2\/473. Find the common denominator of -167\/30 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z. Let u be (3\/(-3) - 0)\/1*2. Let r(x) = -x. Let d(j) = u*r(j) + i(j). Let v(c) = -27*c**2. Determine v(d(l)).\nAnswer: -27*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7738575 (base 9) to base 6\nAnswer: -225052322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 23\/3*h**3 - 38\/3*h**4 + 0*h + h**5 + 0 + 4*h**2 = 0. What is h?\nAnswer: -1\/3, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 113 + -41. Suppose o = -h - h. Let f be h\/(-8)*(-26)\/(-3). Calculate the highest common divisor of 26 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34.9 or -2\/383?\nAnswer: -34.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1415\/849)\/((-10)\/(-36))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -2.4, 2\/7, -0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 790 is divided by 64?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.2, 6262825 in decreasing order.\nAnswer: 6262825, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/3))**41*v**1\/v**(-4) assuming v is positive.\nAnswer: v**(97\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1539*c + 1548*c - 18 = 0. Let 1\/5*s**c + 36\/5 - 12\/5*s = 0. Calculate s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, m: 3, l: 4, a: 3, w: 7}. What is prob of picking 1 w, 1 m, and 1 a?\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = b + 11*s, 7*s - 15 = 2*s. Solve -m - 2*m + 14 = -5*c, 0 = 5*c + 3*m - b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 11 + 780*i + 0 - 159*i + 5.\nAnswer: 621*i - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + 93 - 95 - 20*h + 7*h.\nAnswer: -16*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -5 + 4 + -5 + 4 + 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(144)*1)\/(sqrt(60)\/sqrt(20)))\/((sqrt(42)*-1*-5)\/((sqrt(70)*-2)\/sqrt(10))).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 277.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = v - 2*o, 12 = -5*o + 27. Let x(z) = -36*z. Calculate the lowest common multiple of (-27 + 3)*(2 + 15\/v) and x(-2).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -216*l**5 + 2449*l**4 + 73*l**3 + 2*l**2 + 25585301*l - 3 wrt l?\nAnswer: -12960*l**2 + 58776*l + 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*i - 6752 + 6907 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -2*h - 4, -3*z - 1 = h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6363 and 177053?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {y: 3, a: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -1\/7, -1, 2, 4.7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 181, 557, 1261, 2395, 4061?\nAnswer: 6361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(297)\/(sqrt(36)\/sqrt(4) + sqrt(9)))\/(sqrt(3)*-1*-6) + 4*(sqrt(1584) + -1 + sqrt(1584))*3)**2.\nAnswer: -13828*sqrt(11) + 131480075\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 1. Let m be (0 - 5)*(-84)\/(-30). Let k(v) = v**3 + 14*v**2 - v - 8. Let t be k(m). Let s(i) = -3*i + 3. What is t*s(z) - 17*r(z)?\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - sqrt(117)*-2)*-3 + sqrt(117))\/(sqrt(9)*1*-6).\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o = -83 - 115. Let m = 4 + -9. Let t(d) = -d**3 - 6*d**2 - 6*d + 3. Calculate the lowest common multiple of t(m) and o.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.56292 + -0.76292. Let v = -5 + 4.7. Let t = 2 - 0. What is the nearest to -1 in t, v, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2984087251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence un when two letters picked without replacement from isosenu?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-125*i**2 + 9*i**2 - 28*i**2)*(-i**2 - i**2 + 0*i**2).\nAnswer: 288*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**13*b)\/(b*(b\/((b**7*b*b)\/b))\/b))\/(b**(4\/3)\/b*b*b\/((b*b*b*b**(22\/5))\/b)) assuming b is positive.\nAnswer: b**(376\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-5\/2)*b**6 assuming b is positive.\nAnswer: b**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15336548*f**3*l**2 - 203*f**2*l**2 + 1344*f**2*l wrt f?\nAnswer: -92019288*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*d = 2. Let w = 0.18 - 0.38. Let q = 0 + 0. Sort w, q, d in ascending order.\nAnswer: w, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 34990 and -0.12.\nAnswer: -4198.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 1\/2, -147, -5, 6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 223217 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597989 is divided by 99636?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 2*p**2 - 453*p - 33. Calculate f(0).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 18*((-19712)\/(-3927) - (-1 - -6))\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 v when two letters picked without replacement from reveh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -316295\/196752 - -14\/4099. Find the common denominator of 109\/(-48) + (-1)\/(-3) and y.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (6 + -1 + 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (12\/(-32)*-4)\/(6\/260)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 + 5*o - 5)*(3*o - 2*o + 0*o) + 4*o + 1473 - o**2 - 1466 + 2*o**2.\nAnswer: 6*o**2 + 5*o + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108889 and 1331?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2 - 114\/84. Let q = v - -80\/77. Which is the nearest to -1? (a) q (b) 3 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*55.6267\nAnswer: 27.81335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 2669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f**2 + 89373*f - 714841. Calculate y(8).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -86*a**3*j**2*t + 6*a**3*j**2 - 1273*a**3*j - 68*a**3*t - 2*a**3 - j**2 wrt t?\nAnswer: -86*a**3*j**2 - 68*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -682\/61 + 54721\/4758. Let q = 8193\/8 - 1028. Find the common denominator of w and q.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14815238.\nAnswer: 2, 167, 44357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 1 - (114 + -103)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**2 - 3*t + 8. List the prime factors of k(-8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -380 divided by 45.\nAnswer: -76\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4 + 7*i**2 - 3*i + 4*i + 5*i**2 - i**3 - 16*i**2. Give d(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01047110127 to 5 dps.\nAnswer: 0.01047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m - 2. Let x be p(-3). Let i = x + 21. Let h be i\/(-10) + 4\/10. Put 1, h, 0 in descending order.\nAnswer: 1, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 2. Let b be j(19). What is the third derivative of -b*n**2 + 26*n**4 + 47*n**3 - 47*n**3 wrt n?\nAnswer: 624*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghg when three letters picked without replacement from {n: 11, g: 2, m: 1, s: 1, h: 3}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 102, 144, 206, 294, 414, 572?\nAnswer: 774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 3. Let b be (-3 + 0)*(-3)\/36*4. Put b, -1, 4, j in descending order.\nAnswer: j, 4, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 562747.8ml in litres?\nAnswer: 562.7478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 7*n + 33. Suppose 4*m = 3*m + 3. Suppose 3*i - 4*v = 3 - n, -m*v + 15 = 0. Which is the third smallest value? (a) -3\/5 (b) i (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 4*f - 1. Let u(o) = -5*o**3 + o**2 + 5*o + 4. Let b be u(-3). Let i(m) = -133 - m + b. Let j = 25 - 23. What is j*s(z) + 7*i(z)?\nAnswer: 2*z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 622 - 1?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 - 3.02. Let m = -2.9 - k. Let i be 6\/4 - (-2 - -3). Which is the nearest to m? (a) -2 (b) -2\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aacaaajjclacaalja. What is prob of picking 2 a?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*h = 1080. Is 18 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -442770 (base 8) to base 16.\nAnswer: -245f8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(11)*2 + 3)*6 - -6*(sqrt(132)\/sqrt(48) - (sqrt(11) + sqrt(121)\/(sqrt(33)\/sqrt(3)))))**2.\nAnswer: 252*sqrt(11) + 1863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -15.72 + 0.842\nAnswer: -14.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1077*l - 13097 = 1070*l. Calculate the remainder when l is divided by 78.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*(-4)\/60*(-150)\/(-20). Suppose 2*q - 1 = -5*u, -3*q + 3*u - 8*u = -4. Solve s*c - 12 = -q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 1:19 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 6\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -31. Suppose 4*n + a*n + 6 = 0. Let r = 2 - n. Is -0.12 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 368 + (5 + -1 - 2). Suppose 2*b - 2*l = 154, -3*b = -6*l + 2*l - 228. Suppose -w + z + b = 0, 0*w = 5*w + 5*z - y. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*d + 6*d - 4*d)*(1 - 5 + 0)*(-3*d - 10*d - 8*d) to i*d + y*d**2 + w and give y.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -112 + 394. What are the prime factors of a?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 12*z**2 - 208*z + 72. Let f be m(17). Solve -f*k + d - 1 = -18, 4*d = -2*k - 14 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7.3567 and 12620382.\nAnswer: 12620389.3567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 5802.7 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {o: 10, y: 9}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000093198702 to 7 dps.\nAnswer: 0.0000932","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 27. Let v = z - 20. Which is the closest to -1? (a) -2\/5 (b) v (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o - 13*o + o + 28*o.\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2. Let f(s) = 3*s**2 - s. Let k(p) = -2*f(p) + 5*z(p). Let j be k(2). Suppose j = 2*a - 16 - 122. Round a to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (33\/22)\/((-1)\/2). Is z + 9 + 1 + -1 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p**2 - 1. Let g = 7 + -8. Let z be r(g). What is the highest common factor of z and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p**2 + 0*p**2 + 0*p**2)*(5 - 32 - 37) + 2 - 2 - p**2 to the form y + c*p + t*p**2 and give t.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289067.\nAnswer: 289067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5395*d - 2*l - 2 = -5397*d, 3*l = d + 5. Solve -5*x - 15 = -d*s, x + s - 5*s + 19 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/12)\/((3\/14)\/(54\/63))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 10:15 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 9:01 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -242, 142, 844, 1870, 3226, 4918, 6952, 9334?\nAnswer: 12070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/3*(-525)\/(-23800)*34?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -q - 3*h - 13, -2*h + 5 = -5*q. Let w(k) = 2*k**3 + k**2 - 3*k + 2. Suppose -5*n - 8 = 2. Let z(t) = -t**3 - t**2 + 2*t - 2. Give n*w(u) + q*z(u).\nAnswer: -u**3 + u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 79.44122 - 81.4412165. Let t = v + 2. Round t to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 2*f**2 - 8*f - 2. Let z be v(6). Suppose -3*l - 16 = -4*n, -2*n + 3*n = 4*l + 4. Suppose 3*i - z - 353 = l. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 85 = -5. Let g be (-4)\/m + 2\/((-36)\/(-238)). Suppose -g - 7 = -5*c. Let o(y) = -y**3 + 5*y**2 - 3*y + 2. Calculate o(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/156)\/((-2)\/(-16)*1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6230051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 111496.2 hours?\nAnswer: 401386320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*q - 5 = -100*q + 71. Let l(x) = x + 9. Determine l(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s + 1 + 2 - 2)*(9*s**3 - 152*s**2 + 152*s**2) to b + o*s**2 + l*s + m*s**4 + w*s**3 and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - -7. What is the remainder when q is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17373303*n**5*r**2 + 200786*n**2*r**2 - 3*r**2 wrt n.\nAnswer: 1042398180*n**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206348134 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -36.35. Let b = -0.95 + n. Let m = -1.03 - -3.03. What is the third smallest value in m, b, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 58997974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 230115697 to the nearest integer?\nAnswer: 15170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 2. Let u = 13 + -9. Suppose -5*p - 33 = -0*i - 4*i, 3 = p + u*i. Which is the smallest value? (a) 0.2 (b) g (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 21*t**2 + 12*t - 32. Let j be q(-12). Suppose 512 = 7*z - j. Does 30 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/294 and 85\/672.\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 104611\/69738 - 2\/34869. Is w <= -234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 4*z + 642 = 0. Let h be (-3)\/9*1*z. Suppose 5*o + 4*k = k + 119, 5*o - k = h. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 4*h. Let q(x) = 7*x**2 - x**2 + x - 7*x**2 - 4*x. Let n be q(-4). Let f be c(n). Solve f*d - 5*d = 5*p + 50, 0 = 3*p + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 504 = 2*v + 4*l, 0 = v - 4*l - 121. Suppose -5*x - 5*a = -v, -2*x + 3*a = x - 63. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, -7, 0.0033.\nAnswer: -7, -0.03, 0.0033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 900 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42325 - -14344?\nAnswer: -23541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9727.54ng in tonnes?\nAnswer: 0.00000000000972754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3 - v - 3. Let w(l) = 5*l + 1. Let c be (-1)\/3 - 140\/(-15). Let q = -15 + c. Give q*r(s) - w(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3028)\/(-10) - (-3 - 182\/(-65)). Let i = u + 60. What are the prime factors of i?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -231014 (base 9) in base 13?\nAnswer: -4b088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/35)*n**(-5\/2))**(24\/5)\/((n**(-7\/2)*n**(-7))\/(n\/(n**2\/n))**(1\/5)) assuming n is positive.\nAnswer: n**(-429\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06376 + 0.069. Round g to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4701, 4696, 4691, 4686?\n\"Answer: -5*b + 4706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 27 + 9. Suppose -2*g - z*g + 10 = 0. Let k be g\/(-6 + -1 + 2). What is the smallest value in k, 4, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttgtttttttgtttttgttt. What is prob of picking 3 g?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115301086?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -13. Suppose 0 = -x - 4*m - 28, x - 1 = 2*m - 11. Let d = 14 + x. Sort -5, r, -4, d in ascending order.\nAnswer: -5, -4, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 20.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 138890 > 138890?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230366100 (base 7) to base 11.\nAnswer: 7a38962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/1093 smaller than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20322640*j**3 + 2*j**2 + 167*j - 3398.\nAnswer: 121935840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f + 1. Let q be r(1). Let y(w) = -57 - 38 - 59 + 156. Let z(m) = -m - 2. Give q*z(k) - 2*y(k).\nAnswer: 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69841 and 12578.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -2*z + 12*y - 17*y, -23*z + 3*y = -21*z + 12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (63\/(-42))\/(-12*4\/(-4)). Which is the nearest to -2? (a) 0.11 (b) w (c) 0 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 4*q - 3. Let t be s(-4). Is 6 a factor of (6\/t)\/(-2) - -17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60*o**4 + 13*o**3 + 2*o**2 + 60*o - 30318324.\nAnswer: -240*o**3 + 39*o**2 + 4*o + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 313 + -1567\/5. Which is the third smallest value? (a) -5 (b) 9\/2 (c) x (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693551 to the power of 1\/2, to the nearest integer?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, s: 4, b: 2, i: 1, t: 5}. What is prob of sequence itt?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 57\/(-1) - (-5 + 0). Let n be x\/6 - ((-15)\/(-9))\/5. Let u(s) = -s**2 - 6*s - 5. Determine u(n).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - t**2 + 6*t - 1. Let p(m) = 3458*m**3 - 613*m**2 - 24*m + 4. Let j(h) = 4*d(h) + p(h). Find the third derivative of j(u) wrt u.\nAnswer: 20772","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 437075861?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 2*y + 3. What are the prime factors of r(7)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6286063.\nAnswer: 7, 128287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**3 - 4137*a**2 - 85554*a = 0?\nAnswer: -1358, -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = d - 123. Calculate the common denominator of 121\/12 and d\/(-24) + (-30)\/(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 23 + 53 = 4*r, 5*r - 3*f - 68 = 0. Let n = -10 + r. Suppose -n + 1 = t. Let i(y) = -y - 2. Calculate i(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lfcrxlrc. What is prob of picking 1 r, 1 x, and 1 l?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1313 = -13*j - 2705 + 1288 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o**2 - 5*o**2 + 2*o**2)*((2*o + 2*o - 9*o)*(-2 - o + 2) + 3*o**2 + 3*o**2 - 4*o**2) as h*o**4 + x*o + f + b*o**2 + r*o**3 and give h.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 4. Suppose -5*w = -3*a - u, 4*a + 0 = w - 2. Suppose a = 7*n - 2*n - 3*l - 738, 0 = 4*n + 5*l - 583. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 - -126. Suppose 120 = 5*o - 3*u, 2*o + 2*o - 4*u - w = 0. What is the least common multiple of 15 and o?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57)\/(-38)*((-2)\/(-3))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o = -246 + 311. Let n(p) be the third derivative of -1\/120*p**6 - 1\/15*p**5 + 0 + 0*p + p**2 + 5\/24*p**4 + 5\/6*p**3. Give n(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -6568620 and -6568620 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {l: 1, y: 5, f: 3, d: 9}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -445c81 (base 15) to base 9\nAnswer: -6117414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 226156 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5*(-2 + sqrt(800)) + (1 + sqrt(242) + 5 - (sqrt(242) - 5*(sqrt(242) + 1))) + -1)**2.\nAnswer: 1240*sqrt(2) + 48066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 8*y**2 - 11*y - 11. Let q be s(-9). Let b(g) = 4*g + 21. Is b(q) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -5*a**8\/336 + 3*a**7\/14 - 5*a**6\/8 + 7*a**5\/12 + 700*a**2. Factor c(u).\nAnswer: -5*u**2*(u - 7)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**3 - 5660464*p**2 + 22641832*p - 22641824 = 0. What is p?\nAnswer: 2, 2830228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -2623?\nAnswer: 786.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 158760278 bigger than 158760279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z. Suppose 0 = k - j + 2, 4*k + j - 6 = 6. Let x(s) = -k*s + 2*s + 10*s - 23*s. Give l(x(h)).\nAnswer: -52*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 345*x + 2*x**2 - 2*x**3 + x**3 + 342*x in the form g*x**2 + a + o*x**3 + w*x and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2361118217?\nAnswer: 7307, 323131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnxgxcnxmnc. What is prob of sequence ncnn?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 524 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 33 and -330.\nAnswer: -10890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/20 - ((-162)\/(-15))\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (258\/(-27))\/((-4)\/(-1776)). Let q = s + 4315. Let h = q + -73. Sort -3\/4, 1, h in descending order.\nAnswer: 1, h, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-70)\/(-22) - (-4 + 92\/22). Differentiate -10 + 42 - 16 - 14*x**p with respect to x.\nAnswer: -42*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(21)*1 - (sqrt(21) + 1*sqrt(63)\/sqrt(3)))*-4)\/((4*((sqrt(77) - -2*sqrt(77)) + sqrt(77) + sqrt(77)))\/(sqrt(77)\/(sqrt(14)\/sqrt(2)))).\nAnswer: 8*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1506390928 a multiple of 2602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10502583 to the power of 1\/2, to the nearest integer?\nAnswer: 3241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10892774 or -10892769?\nAnswer: -10892774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/47337647 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.058558515*-0.03\nAnswer: -0.00175675545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*h - 20982 = -21636 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/7 and -50.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b + 4*b + 10 - 17. Suppose 0 = 3*o - 0*o - 9. What is v(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 2:42 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 514925, 514925, 514915, 514889, 514841, 514765, 514655?\n\"Answer: -w**3 + w**2 + 4*w + 514921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 20, -107, -26025 in decreasing order.\nAnswer: 20, 5, -107, -26025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-15) + (-5571)\/(-15). Suppose -5*c + s = -374. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2028060000 rounded to the nearest 1000000?\nAnswer: -2028000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 30*n**2 + 1 - 11*n**2 - 6*n**2 - 12*n**2. Let l(s) = -s**2 - 2. Determine 4*l(q) + 6*z(q).\nAnswer: 2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 8. Let h be b\/18 + 34\/(-9). Let s = 1 - h. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04838 and 0.3?\nAnswer: -0.014514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 - a**3 - 4*a**3)*(6*a + 11 - 11)*(12 - 6 - a - 4).\nAnswer: 30*a**5 - 60*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3437?\nAnswer: 7, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 13*r**2 + r + 8. What is q(-13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 63.41 and -863379015.\nAnswer: -863378951.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 148*q - 733. Determine m(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30291 divided by 10097?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -996 - -7?\nAnswer: -989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, x: 12}. What is prob of picking 1 n and 2 x?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*12*(-2)\/8. Find the first derivative of 2 + 2 + 0 + m*c**3 wrt c.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 2*w**2 - 5*w + 5. Let y = -17 + 16. Calculate the remainder when z(4) is divided by ((-18)\/(-8))\/(y\/(-4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -5*x**4\/24 + 17*x**3\/3 - 4*x**2 + 45. Give f(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1100))**2 - sqrt(704))*1.\nAnswer: -8*sqrt(11) + 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 7*q + 50. Let i be u(-7). Let p(s) = 25*s**2 + 3*s. Let v be p(i). Solve -5*z - 2*a = -a - v, -5*z + 22 = -a for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3028*q**2 + 4*q + 25. Let u(g) = -2*g**2. Calculate p(u(t)).\nAnswer: -12112*t**4 - 8*t**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d + 376?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**2 - 3*i**2 + 26*i**2 - 19*i - 6*i**4 - 24*i**2 in the form z*i**4 + g*i**2 + f + h*i**3 + u*i and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -441 (base 5) to base 11\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-27))\/(90\/54 + (1 - 3)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**2 + v - 12. What is the hundreds digit of q(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 276 + -126. What is the highest common divisor of g and 225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f - 6. Let w(v) = -5714*v + 6. Determine w(r(l)).\nAnswer: 11428*l + 34290","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (210\/15)\/(-84)*(-7)\/((-49)\/(-238))?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -23*o**9\/504 + o**7\/70 - 133*o**5\/60 + 92*o**2 - o. What is the third derivative of n(u) wrt u?\nAnswer: -2760*u**3 + 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 416209*u**2 + 272879*u wrt u.\nAnswer: 832418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10221 - 21211101?\nAnswer: -21200110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 + 93*w + 903. Calculate c(-33).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - q = -0*b - 5, -3*b - q = -5. Let d be 382\/8 + 6\/(-8). Let k = d - 31. Solve 4*x + k = 2*h + 2*h, h - 2*x - 7 = b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/8 - 314025*i\/4 - 9893772.\nAnswer: (i - 628176)*(i + 126)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 3553. Let y(p) = -p**2 + 3555. What is 4*a(b) - 5*y(b)?\nAnswer: b**2 - 3563","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-2)*1\/((-9)\/12). Suppose -a = 2 - 4. Let b(r) = -i*r + 5 - 4 + a + 0. Determine b(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1102220201120 + -10202?\nAnswer: -1102220212022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 17\/(-7) - (-40)\/(-70). Suppose 1 - 5 = -2*p. Put p, a, 0 in ascending order.\nAnswer: a, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*i + 70 = -163*i - 142*i - g, -11*i - g = -2*g + 746 for i.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1085 is divided by 1074.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45.96 - 3. Let m = f - -49. Let g = -0.38 - m. Round g to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1233 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence scpp when four letters picked without replacement from {s: 2, p: 1, c: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*h + 1 + 31*h**2 + 37*h**2 + 28*h**2 - 92*h**2 in the form u*h + a*h**2 + l and give u.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*1\/10 + 1. What is the second smallest value in -1, f, 3\/23?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.076225 + 0.003075. What is q rounded to 2 decimal places?\nAnswer: 3.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) -1\/6 (c) -35 (d) 4 (e) 2 (f) 0.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27393300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(2\/27))\/c**(-7))\/((c**8*c)\/(c*c**(-10))) assuming c is positive.\nAnswer: c**(-268\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153093757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-6)*1\/2. Is 79 + -3*r\/3 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72395969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/20, 0.4, -2\/5, 1\/3 in descending order.\nAnswer: 0.4, 1\/3, 3\/20, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -180, -261, -356, -471, -612, -785?\nAnswer: -996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, -297, 3, 3\/7, 0.35?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -45\/4 (b) -1.3 (c) -7.52 (d) -2\/7 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - -1) + (1 - 2). Suppose -m*v = -154 - 1341. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -6 + -1 + (-76)\/(-1) is divided by 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -598253 by 6.\nAnswer: -598253\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157, -165, -173?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of 1\/8*f**4 + 0 + 0*f + 0*f**3 - 3*f**2. Let y(m) = -4*m + m + m**2 + 3*m. What is y(b(h))?\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6283\/1376 + -195\/43. Put i, -1, -0.3 in descending order.\nAnswer: i, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.06, -2\/639, 20\/203?\nAnswer: 20\/203","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssmm when four letters picked without replacement from smmmsmmsmmmmsmmmmmm.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 779135\/6 > 129856?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57 + 80*t**3 + 203*t**3 - 384 - 1177*t**3 - 148 wrt t.\nAnswer: -2682*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*l - 361 = -5*l + 234 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.391 to two decimal places.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of b**2 + 14\/3*b**3 + 49\/8*b**4 + 1 + 0*b. Factor s(p).\nAnswer: p*(7*p + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*j + 24, 2*g = 2*j + j - 58. Calculate the remainder when 43 is divided by j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/61 and 1\/4087.\nAnswer: 4087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41445 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*q + 3 = -82*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of z**5\/60 + 5*z**4\/12 - 49*z**3 + 6883*z**2. Determine t(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-68)\/6 + (-32)\/(-24). What is the second smallest value in 1\/4, -0.4, b, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4937877054?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**4\/2 + t**3 + 3*t**2\/2 = 0 for t.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -0*f - 2*f, 0 = -k + 3. Suppose f*d - 2*x = 3, -4*d - 3*x = 6 - 10. Is 0 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/15)\/((-12)\/(-40))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s**2 - 99*s + 132. Let p be a(-26). Let i(o) be the third derivative of -1\/96*o**4 - 7\/60*o**5 + 1\/12*o**3 + 0 - 8*o**p + 0*o. Factor i(c).\nAnswer: -(4*c - 1)*(7*c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2857 a factor of 27184225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z - 40600. Let r be i(0). What is r rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((224\/24)\/14)\/(1\/6). Suppose 0 = -o*y - 2*z + 14, 2*y + 5 - 7 = -2*z. Calculate the highest common divisor of y and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 8:43 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -672*n + 1. Is k(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 230 divided by 24.\nAnswer: 115\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83832244 to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eleven eighths of a second?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hww when three letters picked without replacement from {h: 4, w: 2, u: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 7118254956369.\nAnswer: 7118254956364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -1700*p + 1804. Does 65 divide u(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 785 is divided by 44?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + o + 17, 3*u + 3*o + 3 = -u. Calculate the greatest common factor of 21 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/5 - 6558*a**3\/5 - 7884*a**2.\nAnswer: 2*a**2*(a - 3285)*(a + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 161 + 11117a?\nAnswer: 111330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 250 - 259. Let c(i) = i**3 + 199*i**2 + 359*i + 179. Let q(w) = w**3 + 99*w**2 + 179*w + 89. Let b(m) = p*q(m) + 4*c(m). Factor b(t).\nAnswer: -5*(t + 1)**2*(t + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -i**5\/3 - i**2 - 51. Let y(c) = -2*c**2. Determine y(b(v)).\nAnswer: -800*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 83, -4, -1, 3, 161, -2 in descending order.\nAnswer: 161, 83, 3, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 15*s**2 + 49*s - 49. Let v be j(1). Let a be (-24)\/v*(265\/(-105) - -3). Is a at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.9 + -6. What is the third biggest value in n, -1, -338?\nAnswer: -338","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 19244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, m: 1, v: 1}. What is prob of sequence jmv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40285471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 14*i = 1775. Suppose 12*p = 7*p + i. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.7 - 0.6. Let v = -4.2 - o. Let t = -1136\/7 + 162. Which is the second biggest value? (a) v (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-12) - (-394)\/8. Let c = 38761 - 38714. Which is smaller: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3676 (base 12) to base 7\nAnswer: -23616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -897*-111\nAnswer: 99567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15.441 and -5.\nAnswer: 77.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3291602 + -76.64?\nAnswer: 3291525.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47454, -47463, -47472?\nAnswer: -47481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88 by -6288.\nAnswer: -11\/786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1141 + -0.4141. Let o(k) = -2*k - 6. Let x be o(-4). What is the closest to x in 1, 0.5, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2\/3 - 350028*m + 45944850294 = 0 for m.\nAnswer: 262521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 382103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -53, -140, -267, -434?\n\"Answer: -20*r**2 - 27*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11489772 at least 11489696?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 2. Let c(v) = -36*v - 3. Let s(n) = -c(n) + 5*q(n). What is the least common multiple of s(1) and 1?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 40392\/(-120) - 4\/10. Let p = 366 + v. Calculate the remainder when 97 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 15 - 3*y + 18)*(0*y - y**2 + 0*y).\nAnswer: 3*y**3 - 22*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/3, 1\/3, 1\/32, 0.37?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 40*r**3 - 1082*r**2 + 2054*r - 100 = 0.\nAnswer: 1\/20, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0, -17\/2, 0.2, -5\/2.\nAnswer: -17\/2, -5\/2, -0.3, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = -p - 3*p. Let y = -31 - p. Solve -g = -5*x + 20, 0*g + 4*x = -3*g - y for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-93)\/(-31)*(-1)\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -116*x - 923. Let c be n(5). Let h = -1499 - c. Suppose -6\/11*s**2 - 2\/11*s**h - 2\/11*s - 6\/11*s**3 + 0 = 0. Calculate s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**2 + 2. Let h be -4 + (0 - (0 - 1)). Determine z(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41039, 84322, 127605?\nAnswer: 170888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence usl when three letters picked without replacement from ulsussuuulluulul.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 171, 303, 465, 657?\nAnswer: 879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5709 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d - 1. Let q be s(0). Let m(f) = -11*f**3 + 2*f**2 - f - 2. Let g be m(q). Solve 19 = -a + 5*a + 3*u, g = 2*a + 2*u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3602?\nAnswer: 2, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -18\/106927669 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -340, -347, -354, -361?\nAnswer: -368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 5:04 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 5*v**3\/3 - 4*v**2 - 12*v - 25. What are the prime factors of f(-5)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a. Suppose 2*t + 4 = -2*t - 4*o, 0 = -2*t - 5*o - 11. Let q(w) = -w - 5*w + 7*w + 7*w**t. Determine q(z(p)).\nAnswer: 7*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 13, l: 3, i: 2}. Give prob of picking 2 z, 1 i, and 1 l.\nAnswer: 13\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c**4 + 79*c - 170.\nAnswer: -8*c**3 + 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 17*v - 7. Let m(o) = 14*o - 6. Let y(i) = -6*m(i) + 5*p(i). Let k(s) = 11*s - 1. Determine -k(q) - 2*y(q).\nAnswer: -13*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*m - 10 = -m, -42 = 5*u + 3*m. Is -6 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 24732 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 514 + k**2 + 8*k**2 - 10*k**2 + 1332 - k.\nAnswer: -k**2 - k + 1846","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**2. Let a(y) be the second derivative of -y**3\/3 - y. Determine a(w(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3158 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - l**3 - 2*l**3 + 5*l**3 + (-l**3 + 4*l**3 - l**3)*(-1 - 1 + 3) + (-2 + 2 - 2*l**2)*(-4 + 4 + l).\nAnswer: 2*l**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57816251.\nAnswer: 47, 239, 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1158054, 2316117, 3474180, 4632243?\n\"Answer: 1158063*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -0*n + 5*k + 1855, 1855 = 5*n + k. Is n a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88 - 50 + 100)*(6*d - 2*d - d)*(4*d + d - 3*d).\nAnswer: 828*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millimeter in micrometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 11. Suppose 0 = y - 0*t + r*t - 22, 2*y = 5*t + 8. Calculate the highest common divisor of 14 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -579, -583, -585, -585, -583, -579, -573?\nAnswer: -565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -325*d - 2100*d - 850*d - 3758*d in the form o*d + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**4 - p**3 + p**3 + (-6*p**3 - 6*p**2 + 6*p**2)*(-1 - 2*p + 1) - 5*p**4 + p**4 + 2*p**4.\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 2*m**2 + 3*m - 1. Let g be v(2). Suppose -4*z - g*h - 50 = z, -56 = 5*z + 2*h. What are the prime factors of (6\/9)\/((-2)\/z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -15 (c) 12\/19 (d) -0.1 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**3 - 4*a**2 - 3*a - 6. Let h(g) = 239*g - 2119. What is the remainder when o(-5) is divided by h(9)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*((-59)\/(-12) - -2). Let m = -50\/3 + k. Find the common denominator of -77\/10 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/20*2)\/(138\/345)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, o: 2}. Give prob of sequence zoo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 2, b: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -82\/21 and 5\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/(-5) + (-6)\/(-30). Suppose -46 = -c*i + i. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 178 and 793346?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43868 - -34524121\/787. Let k = 58945\/12592 + r. What is the common denominator of k and 10\/(-35) + 363\/(-28)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in nineteen quarters of a day?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242)*-3*-1 + sqrt(242) + (sqrt(242)*-1)**2 + 4.\nAnswer: 44*sqrt(2) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*((1 - 3) + 4)*1. Let q = 3 - 0. Solve z*s = -q*a + s + 8, -2*a - 8 = -2*s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 26\/4*(39 + -37)*14. What is the highest common divisor of l and 84?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15220558?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -1\/6*q**3 + 0*q**2 - 6*q - 2. Let y(o) = -3*o. Determine y(i(v)).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -6*a - 44. Let d(g) = -g**2 + 8*g + 43. Calculate -2*d(r) - 3*n(r).\nAnswer: 2*r**2 + 2*r + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2349\/7 + -336. Put 0.2, 0, u, -1.6 in descending order.\nAnswer: 0.2, 0, u, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, e: 2, k: 8, i: 2}. What is prob of picking 1 x and 1 i?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8523417?\nAnswer: 3, 7, 43, 9439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -32098783, -64197567, -96296351, -128395135?\n\"Answer: -32098784*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -14.9, 2\/17, 310, -0.2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0080884572 to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21268 - 21268. Sort p, 16, -1, 15.\nAnswer: -1, p, 15, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/9 - 138355\/(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -0.3 (c) 3662 (d) -4 (e) 3 (f) 8\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43255 + 43254 + 43268 + 14*a**3 - 129777.\nAnswer: 14*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*b - 25. Let y = -25 - -22. Let c(a) = 3*a**3 - 3*a**2 + 4*a - 2. Let q(x) = -4*x**3 + 2*x**2 - 3*x + 3. Let f(r) = y*c(r) - 2*q(r). What is f(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42084)\/(-2338) + (2226\/(-24) - 2\/8)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 451? (a) 2\/5 (b) -0.3 (c) -3\/50 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**2. Let m(l) be the third derivative of 0*l**4 + 0*l + 4*l**2 + 0 + 0*l**3 - 1\/60*l**5. Determine x(m(q)).\nAnswer: 3*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c + 1. Let b be t(-3). Which is smaller: b or 8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-72)\/(-27) - 6)*9. Let c be (-484)\/6 - 2\/6. What are the prime factors of -5*(-2)\/(l\/c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 4:25 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 24*b + 56. Let y = -5 + -20. Calculate the remainder when t(y) is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 9. Suppose 0 = -2*n + g - 0. Let h = -463\/10556 + 5\/203. Are h and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6*b**2. Let u(p) = -1617*p + 9. Calculate z(u(j)).\nAnswer: 15688134*j**2 - 174636*j + 486","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 44*u + 3 = 41*u, -r + 3*u + 18 = 0. Suppose -y + r*n = -20, -40 = 5*n - 30. What is the greatest common divisor of 133 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r + r**2 + 0*r + 12 - 2*r. Let v(z) = z**2 - 56*z - 569. Let g be v(-9). What is the tens digit of f(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11d4 - -2?\nAnswer: -11d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to 1493?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - u - 1. Let q(b) be the first derivative of -8*b**3\/3 + 23*b**2\/2 + 6*b - 4851. Determine -q(s) - 6*y(s).\nAnswer: 2*s**2 - 17*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6*p**2 - 3*p + 6. Let i(t) = -7*t**2 + 2*t - 7. Suppose 3*o + 2*c - 19 = 0, -2*c = 2*o - 5*c + 9. Let r(d) = o*i(d) + 4*s(d). Factor r(n).\nAnswer: 3*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473667453 to the power of 1\/2, to the nearest integer?\nAnswer: 21764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 201\/335*2\/(-10)*5\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -28*a + 65. Let t be i(2). Let d(b) = t*b + 4*b + 5*b - 21*b. Let j(m) = 24*m. Determine j(d(w)).\nAnswer: -72*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -14*d**2 - 2*d - 6*d - 4 + 32*d**2. Let w be n(-2). Suppose -4*z = -9*z + 60. Calculate the highest common factor of z and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50239?\nAnswer: 7, 7177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11031010 (base 5) in base 10?\nAnswer: 95755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.66140371 to 3 dps.\nAnswer: 4.661","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m + 3 + 2 - 4)*(5*m**2 - 16*m**2 + 5*m**2).\nAnswer: -36*m**3 - 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 12*m + 5. Let g be t(-13). Let c = g - 12. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 59 = p, 6*p + 71 = 5*h + 2*p. What is the highest common factor of h and 473?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 7:40 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 52434 - 52434.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 251*f**2 - 14113*f + 250. Determine v(85).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 15) to base 5\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 10127565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2631, -2809, -3001, -3213, -3451, -3721?\nAnswer: -4029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -1 (c) -2284\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1152 - 3*j - 4099 + j.\nAnswer: -2*j - 5251","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, 44, 172, 354, 590?\nAnswer: 880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 760480?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -31. Calculate the lowest common multiple of h and ((-30)\/8)\/(240\/(-640)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 9:28 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1920526 and 120814.\nAnswer: 4166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + 17. Suppose 2*r - g = -0*r - 3*x, -2*r = -3*x - 37. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((((n**(-2\/9)*n)\/n*n)\/n)\/n)*n)\/n**(-3)*(n**1)**(-39) assuming n is positive.\nAnswer: n**(-295\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -15*o**3 - o**2 + o + 5. What are the prime factors of l(-4)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 535 is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 1*(6 - -4). Suppose 2*v - 5*l = -16 - 0, 20 = 4*v + 3*l. Suppose -v*r + g = 2. Is r < 16\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169621.\nAnswer: 29, 5849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 2 + 8 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*s**3 - 6*s**2 + 47*s**3 - 90*s**3 to z*s**2 + q + u*s**3 + k*s and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -177.41887 + -11854704.58113. Let i = m + 11854875.599951. Let t = 6.4 + i. Round t to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 2*h - 91. Let g be m(-11). What is the derivative of -7*d**3 - g*d - 6*d + 31*d**3 + 2*d + 5*d + 324 wrt d?\nAnswer: 72*d**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chsv when four letters picked without replacement from cvvvsvchevvvve?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-101 + 73 - 173)*(-z - 1 + 1).\nAnswer: 201*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/(-2) + (-6)\/(-12). Suppose 5 = -3*z + 2. Let q be z + -4*2\/(-12). Which is the nearest to 0? (a) f (b) -2\/3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -1.1022.\nAnswer: -3.3066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2428345 divided by 2428345?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + 21427 - (-5 + -3 + 13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 12 = -8*n - 3*b, 3*n - 4*b - 26 = 0. Calculate the least common multiple of 5 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 i when two letters picked without replacement from odoikikdoiiukooiuu?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 122418825 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -230\/19*u**2 - 192\/19 + 2\/19*u**4 + 404\/19*u + 16\/19*u**3 = 0?\nAnswer: -16, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 1697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(468) + 1 - (sqrt(65) - sqrt(65)*-4)\/sqrt(5)) + 4 + -3 + -2*sqrt(208) + -5.\nAnswer: -7*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 4 - 4)*(-6 + 4*v + 2 + 3).\nAnswer: -12*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 24*p**2 - p + 6. Determine y(-24).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*t - 155*t = h + 15, 13*t + 3*h = -94 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -26*t - 272. Let n be f(-11). What is the highest common divisor of 1162 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**3 + 8*v**2 - 3*v - 15. Let c(g) = -2*g**3 - 9*g**2 + 3*g + 16. Calculate 5*c(r) + 6*j(r).\nAnswer: 2*r**3 + 3*r**2 - 3*r - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m**2 + 13*m + 4. Let x be j(-4). Let s be 692800032\/(-80) - (x\/20 - 2). What is s rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 18726186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -30. Let n(v) = 3*v**3 - 20*v**2 + 29*v - 5. Let u(g) = -g**3 + 7*g**2 - 10*g + 2. Let y(x) = -6*n(x) - 17*u(x). Is 22 a factor of y(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2907\/(-610) - 46\/115. Let t = 4\/61 + g. Find the common denominator of 13\/9 and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -1 + 1 + 21*m + 18*m**3 - 20*m**3. Calculate d(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -14*d**2 + 10. Let k(r) = -34*r - 1587. Determine k(y(n)).\nAnswer: 476*n**2 - 1927","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4}. What is prob of picking 2 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*f + 12*f + 4*f to k + z*f and give z.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19986493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360 is divided by 175.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 846.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8391357?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 3 + 6. Let v be (-2 + c)*(7 - 8). Suppose 0 = -2*d + 7*d + 5*q + 10, d + 3*q = -4. Sort d, v, 0.\nAnswer: d, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 1 (c) 1\/3719 (d) -3 (e) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 1 + 0)*(-4*j**3 - 2*j**3 + 3*j**3)*(-6*j - j**2 + 6*j) + (0 + 0 + j**4)*(-2*j - 2 + 2) + 0*j**5 - 3*j**5 + 0*j**5.\nAnswer: -29*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3867356357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -8, -3 in increasing order.\nAnswer: -30, -8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 39 - 30. Let v = -11 - w. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 645820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1040167 (base 10) in base 2?\nAnswer: -11111101111100100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5*k**3 - 3*k**2 + 130*k. Let z(l) = 4*l**3 + 2*l**2 - 132*l. Determine 2*a(c) + 3*z(c).\nAnswer: 2*c**3 - 136*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*c**4 + 0*c**4 - c**4 + 2*c**2 + 3*c**4 wrt c?\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 132*b - 2912. Determine c(104).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 409*m + 379*m = 835*m - 9964. Let v = -8 + 20. 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: Find the common denominator of 8\/258225 and -61\/198.\nAnswer: 1549350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 171373773?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 15*i**2 + 14*i + 4. Let y be w(-14). Suppose -y*n + 59 = 3*r, -5*r + 4*n + 145 = -n. Does 2 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - 13 - 1 - (-1 + 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03842528036 rounded to 4 decimal places?\nAnswer: 0.0384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24a1 + 82088?\nAnswer: 7b7a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35445 - -5210308\/147. Let z = -3\/49 - r. Let j = 2 + 8. Which is bigger: j or z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -939\/20 or -46?\nAnswer: -939\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -20. Let q be c\/4 + (-1)\/1. Solve -4*v = 8, 3*u + 0*u = 5*v - q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**4 - 234*w**3 - 7728*w**2 + 234*w + 7725 = 0. Calculate w.\nAnswer: -25, -1, 1, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2420*6.\nAnswer: 14520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5343573815 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/22 and -61\/97658?\nAnswer: 97658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 2*q - 108. What is the remainder when 273 is divided by j(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -147864 - -228695. Suppose 3*q = -4*c + 60607, -5*q - c + n = -q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 - (-4 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-8 + -5 + 7) - 2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -8*v**2 - 28*v + 146. What is w(6)?\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -366 (b) -2 (c) 3\/5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkmkmkkkmmkmk. What is prob of picking 3 m?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15527 is divided by 25.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4142 + -104522?\nAnswer: -100340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*s + s. Let q be 6*-1*s\/(-6). Let p = 19 + 1. Solve p = q*u, -6*v = -v - 2*u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 29490*q - 235911. Calculate k(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -1 + -83 + 77\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72387817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -1099 and 116.3831.\nAnswer: -982.6169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/5)\/k**6)**(1\/31) assuming k is positive.\nAnswer: k**(-33\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 8*h + 22. Let d be t(-2). Suppose -2*n - 6 = 3*w, 3*w - 2*n + d*n = -12. Solve 0 = -5*s + 20 - w for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 53? (a) 1\/7 (b) 10 (c) 0 (d) 2 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*k**3 + k + 196*k**3 - 2*k.\nAnswer: 86*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11803 * -2.\nAnswer: -23606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = u + 18, 1060*u = 1070*u - o + 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0185 (b) 5 (c) -2898 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*v + 0*v**3 - v**3 - 107 + 2*v**4 + 0*v**4 - 95 + 207 to o + s*v + k*v**4 + y*v**3 + b*v**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15858*t**4 - 537*t**3 + 24792429*t**2 wrt t?\nAnswer: -380592*t - 3222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104381460 by 3.\nAnswer: 34793820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-13)\/18 + 54\/243)*-11474 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 62 + 167*p + 29)*(7*p - 3*p - p).\nAnswer: 501*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1565 divided by -13\nAnswer: -1565\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-273*j - 339*j + 742*j)*(4 + 2 - 5 - 1 - 2 + 2 - 2 + 0 + 1 + (-2 - 1 + 4)*(-2 + 1 + 0) + 1 - 4 + 1) as z*j + b and give z.\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + sqrt(56)\/(sqrt(8) - sqrt(72)*2) + 0).\nAnswer: -2*sqrt(7)\/5 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6*u - 105. Let w be h(-21). What is the first derivative of x**3 + 4*x - w - 66 - 4*x**3 wrt x?\nAnswer: -9*x**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*k**2 - 126*k**2 + 63*k**2 - k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 2:40 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**3 + 60*d**2 - 59*d + 96. Let m be y(-31). Suppose -3*a + 4*a = 0. Solve a*j + m = -3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/21 - (-1058)\/14. Suppose -3*x + 2*x + j = 0. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4659*a - 5040 with respect to a.\nAnswer: -4659","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5*t**3 + 2*t**2 + t - 2. Let r = -27 + 29. Let f be n(r). Suppose 6*j - f = -2*j. Solve 5*u + 3*q + 8 = -16, -5*q - j = -3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*q**2 - 60*q**2 - 63*q**2 + (0*q - 2*q + 0*q)*(0 + 2*q + 0) to the form f + i*q**2 + z*q and give i.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f + 4844 - 4846 + 4*f. Let n(q) = -57*q + 17. What is 6*n(a) + 51*v(a)?\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -3*x**6\/80 + x**5\/20 + 3*x**4\/16 - x**3\/2 + 7*x**2. What is b in f(b) = 0?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -41 + v + 0*v + 42. Let n be s(2). Solve -4*u = c + 13, 10 = 4*u - 3*c + n for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10803, 10576, 10337, 10080, 9799, 9488, 9141, 8752?\nAnswer: 8315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 407925.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000024 to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25138 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 193*o - 196*o = -219, -6*v + o + 301 = 0. Solve -4*f - 63 = -v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) -2 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a = -27 + 7 - 36 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-897)\/184*(-208)\/(-78)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 12:37 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - (8 + -19 + 13).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -520, -1889, -4156, -7309, -11336, -16225?\n\"Answer: 2*k**3 - 461*k**2 - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 - 2 - (-13 - 1). Solve u = 33*f - 28*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 152, 0.2, -3, -633 in decreasing order.\nAnswer: 152, 0.2, -3, -633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b - 8. Let s(j) = -j + 4. Let i(u) = -3*h(u) - 5*s(u). Let t(z) be the second derivative of 1\/2*z**2 + z + 0. Calculate -i(v) + 4*t(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 25474730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 51*z + 1. Give b(-1).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3\/248 - 2557\/1240. Calculate the common denominator of (-2344)\/(-1008) + 1\/(-9) and b.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, f: 4, h: 1, v: 5, b: 2, a: 2}. What is prob of sequence fa?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**3 - 582*k**2 - 681*k - 19691. Calculate y(-193).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 10:48 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (15\/(-10))\/(21\/(-144214)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87401 is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1163.44 + -26.44. Let r = 1043.8 - f. Round r to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177951, 177973, 177995?\nAnswer: 178017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -852.418 - -852. Let h = 0.718 + y. Which is smaller: -20 or h?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s**3 - s**3 - 3*s**3 + (4 - 4 + s**2)*(1 - 1 + 2*s) + 2*s**2 - s**3 - 2*s**2 - 4*s**2 - 3*s**3 + 4*s**2 + (2*s**2 + 1 - 1)*(-2*s - 2*s + 2*s).\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(-102)\/(-336)*-7.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 8:52 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -34003+90\nAnswer: -33913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24*a*k**2*l - 4*a*k*l + 2*k**2*l - 5*k*l wrt a.\nAnswer: 24*k**2*l - 4*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -27*x + 29*x + 11*c, -5*x + c + 28 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*x - 50*x = -2*u - 148*x + 54*x - 4, 3*u - 5*x + 8 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, 1\/4, 0.05, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 12:21 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125, 123, 119, 113, 105?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 32 - (6 - (-3 - -6) - (3 - 3))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 169160993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35860 is divided by 896?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mss when three letters picked without replacement from {v: 7, s: 1, w: 8, m: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 7:19 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h = 3*s + 12, -72*s - 2*h - 6 = -72*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 9*w + 7. Let k be t(3). Let u be k\/8 - 18\/(-24). Suppose -z - u*f + 205 = 0, -f + 675 = 3*z - 6*f. What is z rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-3))\/((-36)\/1080). Suppose -11*k + f*k = -443. List the prime factors of k.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 727 (base 11) to base 8\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231090 + 377710 = 8*i. Round i to the nearest one thousand.\nAnswer: 76000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 4. Let s be (86\/u)\/((-4)\/(-6)). Let k = -20 + s. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 5*n = -43, -18*n + 196 = 4*u + 86 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6 - 2 = 0. Let a be (12\/i)\/((-1)\/(-15)). Let g be a\/27 - (-2)\/6. Solve j - f + 1 = -0*f, -g*j + f = 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 + (-6)\/9 - 58\/(-20) and ((-1385)\/540 - -3) + 37\/(-148).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 2\/2 - -3)*107. Let n = h - 60. Calculate the remainder when n is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1455567 and 1478541.\nAnswer: 1641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p*p*(p*p**(-3\/10)\/p)\/p))**33)**(15\/7) assuming p is positive.\nAnswer: p**(1287\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 59350, 118529, 177706, 236881, 296054, 355225?\n\"Answer: -w**2 + 59182*w + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*g**2 - 384*g**2 + g**2)*(-7*g + 18*g - g)*(-5 + 5 - 2).\nAnswer: 8020*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - k)*(-6 - 10 - 22) - 3*k - 2 + 2 + (1 + 0 + 0)*(4*k + 4*k - 7*k) + k + 4*k - 4*k - k - 2*k + 0*k - 11 - k + 11 in the form w + f*k and give f.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 483\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94 - 94 + 41)*(-p + p - p**2).\nAnswer: 147*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67\/24 - 17\/8. Let q be (-4)\/(-8) - (-3)\/2. Let o(r) = -r**3 + r**2 - r. Let n be o(0). What is the closest to q in n, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -2 (c) 0.3 (d) 2350\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, t: 4, h: 3, z: 3, l: 3, f: 2}. Give prob of picking 1 l and 2 z.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15, -65, -201, -465, -899, -1545, -2445, -3641?\n\"Answer: -7*b**3 - b**2 + 2*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**5 - 33*y**4 + 84*y**3 = 0. What is y?\nAnswer: 0, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8977301 is divided by 3433.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 18 = 2. Factor -35*x**3 + 7*x**5 + 3*x**5 - 5*x**5 - 20*x**2 + 2*x**f - 12*x**4.\nAnswer: 5*x**2*(x - 4)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2022 is divided by 94.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.228 times 0.5?\nAnswer: -1.614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9439?\nAnswer: 9439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - 111110101?\nAnswer: -111111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 260 = -18*l. Solve -6 = 5*t - 2*o + 13, l = -3*t + 2*o for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 u when two letters picked without replacement from {s: 2, u: 1, w: 6, a: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 28*y + 3679. Calculate g(-79).\nAnswer: 1467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-630)\/(-99))\/(10605\/199980)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + sqrt(432) + sqrt(432)*1 + sqrt(432))*-1)**2.\nAnswer: 72*sqrt(3) + 3889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1814845?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + -2040?\nAnswer: -2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -34*l**2 + 9. Let j(w) = 40*w**2 - 10. Give -2*j(t) - 3*z(t).\nAnswer: 22*t**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -23*l + 31. Let n(a) = -7*a + 11. Let x(u) = -17*n(u) + 6*v(u). Let m(p) = -2*p**2. Give x(m(k)).\nAnswer: 38*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d**2 - 4*d - 4. Suppose -1 = v - 5. Let f(b) = -2*b + v*b**2 + 0 + 3*b - 3*b**2 + 1. Determine -4*f(y) - g(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.591809 millilitres?\nAnswer: 0.008591809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a decade in months?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 2945865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 541110, 1082200, 1623290?\nAnswer: 2164380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 25, -5, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36)\/(-30) - (-3)\/(-3). Suppose 4*c - 5 = 3. What is the third biggest value in l, c, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704186 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**2 + 2*k**2 + 0 + 0 - 4. Let h(m) be the third derivative of m**5\/60 + m**4\/8 + m**3\/3 - 2*m**2. Let d be h(-2). Determine p(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.6 minus 4.70579?\nAnswer: -10.30579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 444*r = 318*r + 9954. Solve 56 = -86*n + r*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23\/3 + -83\/12. Let r = -0.003 + -0.045. Let v = r + -0.152. Which is the biggest value? (a) 3 (b) v (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56 (base 11) to base 16\nAnswer: -3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -312111 (base 6) to base 8\nAnswer: -61013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20810 + 3018 = 728*a + 2716 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iqqqqqqqqiqiiiii. What is prob of sequence iqqq?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -v + 14. Let o be 7 + 4\/(3 - v). Let u(q) = -2*q + 8. What is u(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 273\/4 + -82. Suppose -84*g + 330 = -426. What is the common denominator of (-12 + -1)\/(282\/g) and p?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m + 159 = -22*m. Is 31 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**2. Let c(j) = -55*j + 2. What is l(c(k))?\nAnswer: -9075*k**2 + 660*k - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 14) to base 10.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/1502 (b) -0.5 (c) -0.1 (d) -4 (e) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 15 = s. Let t = 8 - s. Factor 2*g**2 - 2*g**3 + g + 3*g**3 + 3*g**t - 2 - 5*g**3.\nAnswer: -(g - 2)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9920 + -9920.072. Put o, -2, 2 in decreasing order.\nAnswer: 2, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8623 and -0.1.\nAnswer: -862.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjjjsjjrmjsmjsyyf. What is prob of picking 1 f and 1 m?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 121949296 a multiple of 1292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(396) - sqrt(396)*2) + 3 + (-3 + sqrt(396)*-2 - sqrt(396)) - (sqrt(396) + 1 + 0)*3) + 0)**2 + 4.\nAnswer: 588*sqrt(11) + 19457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 1754*r + 1758*r = -60, 3*i - 3*r - 24 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 98 = k + 4*f, -2*k + 3*f = -217. What is the remainder when 2\/10 + k\/5 is divided by (0 + -1 - 0)*-11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 10*d**2 + 2*d + 22. Let o be z(-10). Suppose g = 2, 3*r + 3*g - 6 = -0*r. Let a be 6\/((-3 - r) + 5). Solve -o - 13 = -a*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 1\/2, 2 in decreasing order.\nAnswer: 46, 2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 3 = -21321*c + 21316*c, -5*c - 7 = -2*n for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 5 = -5*q - 4*h, 0 = -4*q + 4*h. Let n(p) = -2*p + 2. Let v(r) be the first derivative of r**2\/2 + 2. Let f(s) = -n(s) - 6*v(s). Calculate f(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, i: 1, e: 2, b: 1, m: 3, w: 1}. Give prob of sequence me.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13704*f*x + 2*f - 6228 wrt x?\nAnswer: -13704*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 578 is divided by 304?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((13 - 155\/15)*(-42)\/4)\/2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1002 = 13*r + 285. Let z = r - -155. Calculate the highest common factor of 168 and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**3 - 6*b**2 - 53*b - 15. Let h(u) = -u + 1. Determine -2*h(t) - k(t).\nAnswer: -4*t + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/35)*d*d*d*d**(-3\/2))\/(d\/(d*d**(-11)))**(4\/29) assuming d is positive.\nAnswer: d**(81\/2030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xlolliioopoopipljpo. Give prob of picking 1 j, 1 o, and 2 p.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + w = -9, 0 = -6*w + 3*w + 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + (sqrt(119)\/(sqrt(28)*-3) - (0 + (sqrt(136)*1)\/sqrt(8)))**2.\nAnswer: 581\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -w**5\/60 - w**4\/12 - w**3\/6 + 3*w**2. Suppose -11*h = 17961 + 4369. Let q be h\/700 - (-1)\/(-10). What is c(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79569941 to the power of 1\/3, to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 17*i**2. Let b(j) = 3650*j - 208. Give b(m(o)).\nAnswer: 62050*o**2 - 208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.394 + 2.308. Let q = b + -0.702. Do q and -83 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.2993 rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n + 3. Let g be s(-4). Let m(f) = -7*f + 10*f - f**3 + 6*f**2 - 4 + 2*f**3. Let p be m(g). Solve -c - p = c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129177043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/2)\/(21\/154). Let o(u) = 3*u**3 + 11*u**2 - 587*u - 23 + 580*u - 2*u**3. What is the tens digit of o(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 207 + -88. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 55235465 or 55235466?\nAnswer: 55235466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38788*u - 76 = -38750*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (350\/(-1575))\/((-6)\/15 - (-44)\/(-90)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 12*u - 2*x = -7722, x - 12353 = -8*u. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5866584 and 464?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -3*b**5\/4 + 9*b**4\/4 - 12*b**3\/5 + 6*b**2\/5 - 4*b. Factor l(y).\nAnswer: -3*(y - 1)*(5*y - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29 and 126817.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 2*c = -2, -i - 61*c + 65*c = -14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 187316*q**3 - 40812 with respect to q.\nAnswer: 561948*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x + 59. Let w be j(17). Suppose t = -4*u + 6*u - 6, -5*u + w = 0. Solve -t*q + 14 = 6, 0 = 5*n - 4*q + 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 8 = 0, 3*i - 1 = -5*c + 3. Let a(g) be the first derivative of -g**4\/4 - g**3 + 2*g + 2. Calculate a(c).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2116*y + 555. List the prime factors of v(5).\nAnswer: 5, 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 6*x**2 - 8*x**2 + 3*x**2 + 15*x**2 - 3 to c + v*x**2 + t*x and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9.2 in -0.5, -1\/17, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 14)*4\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0214 - -0.4786. What is the closest to 0 in 2\/19, 5, i?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1214007.\nAnswer: 3, 37, 10937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 6. Let q be j(-6). Suppose 3*p = -o - 10, 3*p - 2*o - 2 = -18. Suppose -2 = -2*d + 8. Sort q, d, p in descending order.\nAnswer: d, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49714419 is divided by 686.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/7)*f**(-6))**(-7\/2))**(-6) assuming f is positive.\nAnswer: f**(-123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12673 is divided by 6301.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**8\/336 + 5*x**4\/24 + 10*x**2. Find the second derivative of a(u) wrt u.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-380 + 907*r - 907*r - 2*r**3)*(0 + 2 - 8).\nAnswer: 12*r**3 + 2280","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*r = 50*r + 69 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 239993149720?\nAnswer: -239993149720.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30742 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 27*t**2 + 57*t + 34. What is the lowest common multiple of q(-29) and 111?\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*z - 2 - 150*z + 75*z in the form s*z + k and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 20 = 0, -23 - 12 = -5*b - 3*h. Is 4\/(-8) + (8874\/b)\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a - 1877?\nAnswer: -1906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-27)\/(-5) + 4\/(-10). Let y be (-3 - -6) + 4 - 3*1. Put 0, g, y in increasing order.\nAnswer: 0, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1626 + 272 - 313)*(-2*i**3 + i**3 - 3*i**3) in the form w + n*i + q*i**2 + f*i**3 and give f.\nAnswer: -6340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q + 3*i - 3 = -10*q, 5 = 7*q + 5*i for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 15 - 1. What are the prime factors of (g + 0)\/(-6 - -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -16530 (b) -4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**2*n - 963*i**2 - i*n - 7718*i + 41787770*n with respect to i.\nAnswer: -4*i*n - 1926*i - n - 7718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090216129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 4*g**2 + 2*g - 7. Let n be w(-5). Let q = n - -43. Let d be (-2 - -6) + q + 5. Solve -3*j + d = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 2*z + 91. Let s be v(-9). Let n(x) = 29*x + 11. Let j(r) = -10*r - 4. Calculate s*j(l) - 3*n(l).\nAnswer: -7*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2228*b**2. Let a(k) = -130*k**2 + 286*k**2 - 154*k**2. Determine a(w(i)).\nAnswer: 9927968*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(84)\/(sqrt(1452)*4 + sqrt(1452)) - (-3*sqrt(112) + sqrt(56)\/(sqrt(72) + sqrt(8)))**2).\nAnswer: -15431\/16 + sqrt(7)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 5*b**2 - 11*b - 26. Let r be y(-4). Factor -13 - 9 + 4*c**r - 9 - 20*c + 7.\nAnswer: 4*(c - 6)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/(-9)*(112\/(-20) + 2). Suppose i*b - 320 = -260. Calculate the greatest common factor of b and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l**3 - 5*l + 5. Let j be a(4). Suppose i - j = -4*i. Calculate the remainder when i is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0.26933?\nAnswer: -2.73067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1691344 and 422836.\nAnswer: 1691344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.1 + -0.1. Let q = -63 + 316\/5. Which is the nearest to u? (a) 4 (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2\/3))**(-5\/4)*(k**4*k*k)\/k**(-6\/5))**(7\/3))**40 assuming k is positive.\nAnswer: k**(6748\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -t - 3*h, 17*t - 16*t + 2*h - 13 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*j + 5*j + 13 = 0, 0 = b - 2*j - 11. Let r = b - -2. Solve g - 2 = r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/64394085 and 39\/28.\nAnswer: 257576340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 take away 0.1472?\nAnswer: 25.8528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84.4 + -75. Let f = -1.4 + q. Let h = f - 8.3. Which is the closest to 1? (a) h (b) 0 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -136451 times 10\nAnswer: -1364510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 6:05 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 28\/(-8))\/((-4)\/(-8)). Suppose 348 = n*l - 233. Is l a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33402376 is divided by 244?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1172 (base 12) in base 2?\nAnswer: -11110100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 234\/(-18)*-2*59\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 7*o**2 - 4*o - 1. Let n be v(3). Suppose k + 2*b - 19 = 0, -3*k = -2*k - b - 28. Calculate the greatest common divisor of k and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3\/4))**12)**(2\/19) assuming i is positive.\nAnswer: i**(-18\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5\/3*96\/32 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 2. Let h = 3 + o. Suppose -c = -h*c + 72. What is the highest common factor of c and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - u**2 + 2*u**3)*(22*u - 26*u - 63*u).\nAnswer: -134*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -687 + 691. What is the nearest to t in 3\/5, -1\/4, -0.26?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 115 - 45?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 divided by -7?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1470121598 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + o = 7*o - 17*o - 476 for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (8 - (7 + 2) - -19).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 8*v - 3. Let s be a(2). Suppose -s = -n + 11. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - -6 - (-2 + -13 - -22)) + 9.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -12*c + 4. Let x(u) be the first derivative of -3*u**2 + 6*u**2 - 21 - u**2 - 3*u**2. What is r(x(w))?\nAnswer: 24*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6*n = 12. Suppose -d - 12 = 2*d. Let b = d - -5. Sort n, b, 5 in decreasing order.\nAnswer: 5, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8159\/3 or 2719?\nAnswer: 8159\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3*207\nAnswer: -621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/180 and -129\/220?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -452.122 + -0.878. Let q = -454.8 - b. What is the closest to -1 in 5\/3, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-3\/8)*f*f)\/(f\/f**(2\/13)*f))\/(f\/(f**(-1\/4)*f))**14)\/(f**(-1\/6)\/(f\/(f\/f**(-2\/7)))*(f**2*f)**(-10\/9)) assuming f is positive.\nAnswer: f**(359\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 3*w + 3*w)*(-73 + 104 + 84)*(2 - w - 2).\nAnswer: -345*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1902, -3788, -5722, -7710, -9758, -11872?\n\"Answer: -r**3 - 18*r**2 - 1825*r - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbu when three letters picked without replacement from {b: 2, u: 3, n: 1, h: 1, o: 2, i: 6}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.74 + 0.04. Let m = v + 0.4. What is m rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -11*c - 3. Let k be (-351)\/54*6*14\/(-273). Let j(x) be the second derivative of 0*x**3 - 18*x + 0*x**k - 1\/12*x**4 + 0. Determine j(y(s)).\nAnswer: -121*s**2 - 66*s - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2293845.6 months in years?\nAnswer: 191153.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from grecsgz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-16060)\/14454)\/((-3)\/(-27))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**3 + 44*s**2 - 49*s - 17. Let a be q(-23). What is the highest common divisor of 897 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {n: 3, e: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -22, 4\/9, -60 in descending order.\nAnswer: 4\/9, 0, -22, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3737 - 1079. Let r = -505 + a. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 14\/10)\/((-14)\/(-35)). Suppose -5*a + 19 + 2 = 2*v, -3*a + 9 = 0. Factor u**2 - u**v + 4*u - n - 3*u + 0.\nAnswer: -(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 713 divided by -24?\nAnswer: -713\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.79 + 0.21. Let w be 3\/(-4)*(-4)\/(-6). Let s = 2 + w. Which is the second smallest value? (a) -4 (b) s (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 892579139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 270, 7, 3, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, a: 3, f: 4}. What is prob of sequence af?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 4*i + 25. Let l be ((-6)\/(-3))\/(-12)*-3*2. Sort i, l, -2.\nAnswer: -2, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-7))\/((-335)\/1876) - 0.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*m + 12*m + 56 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 178*s - 30621. Give x(173).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2711 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 82*t**2 - 6*t. Let n(i) = -i**3 - i**2 + i. Give a(j) + 6*n(j).\nAnswer: -5*j**3 + 76*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -75.\nAnswer: -75, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 7, -3 in descending order.\nAnswer: 7, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 34, 51, 68, 85, 102, 119?\n\"Answer: 17*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 4*z**2 - 11*z - 10. What is x(-6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1955556 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**2 + 21*l. What is b(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w + 13*w**2 - 2*w + 0*w - 5*w**2 in the form y*w**2 + u*w + b and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -611 + 621. What is the third biggest value in m, 9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88.6 + 95. Let w(t) = t**3 - 7*t**2 - 6*t + 12. Let d be w(8). Suppose 8 = 10*k + d. Sort s, k, -5 in descending order.\nAnswer: s, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 4. Let s be 0*(v\/3 + -1). Suppose 4*p = -s*p + 28. Solve p*b = 4*b - 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 406 - 11337\/28. Let w = z - 6\/7. What is the third biggest value in 1\/2, w, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 6*u**2 + 5*u + 4. Give w(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l + 10. Let v be (-1)\/1*(-4 + 2). What is the remainder when i(v) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + l**2 - l**2)*(-3*l**3 + 0*l**3 + 2*l**3) + (l**3 - l**3 - 2*l**3)*(2*l**2 - 3*l**2 + 0*l**2) - 4*l**2 + 9*l**5 + 4*l**2.\nAnswer: 9*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -115266.51 and -0.2.\nAnswer: -115266.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-135)\/(-54)*(-12)\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zeze when four letters picked without replacement from ezzzze?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6333 = 11*r - 6377. Let g(m) = m - 5. Let h be g(4). Calculate the remainder when r + -9*(-4 + h) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216\/900*(-30)\/1*(-13)\/(-52)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 131*w - 384 wrt w?\nAnswer: 131","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 154546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/((-897)\/26)*2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/140)\/(162\/315).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -4*m**7\/147 - 3*m**6\/35 - m**5\/35 + 4*m**4\/21 + 2*m**3\/7 + m**2\/7 - 2*m + 10. Solve f(n) = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*b - 27*b + 512. What is the greatest common factor of b and 352?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 1bb4963?\nAnswer: 1bb4968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnn. Give prob of picking 4 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2. Let q(t) = t**2 - 3*t - 3. Let n(y) = 2*y**2 - 5*y - 5. Let v(p) = 3*n(p) - 5*q(p). Give f(v(l)).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -269 - -265.6. Let t = -3.4901377 - -0.0901397. Let p = t - r. Round p to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29.98 + 9.98. Which is the biggest value? (a) -1\/9 (b) 0.3 (c) -3 (d) r (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/22491 and -3\/35?\nAnswer: 112455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q - 2. Suppose z + z + 12 = 0. Let s(i) be the first derivative of -19*i**2\/2 + 13*i + 217. Give z*s(u) - 39*v(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 97 - 96.5. What is the nearest to -1\/4 in -1\/3, 9, i?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11633 - 11627. Which is the nearest to 1? (a) 3 (b) y (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37.9*-2.\nAnswer: -75.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3446846 divided by -1.\nAnswer: 3446846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -34*v + 73, 2*l - 4*v + 517 = 519 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, q: 3, y: 5}. What is prob of picking 1 h and 3 y?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4783*s + 3937*s = -64296 for s.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 598454 is divided by 85336.\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 + 65750*l**2 - 65755*l.\nAnswer: 5*l*(l - 1)*(l + 13151)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-15 - 5) + (-2)\/12. Let p(y) be the second derivative of 1\/2*y**2 + 0 - n*y**3 + 7*y. Differentiate p(u) wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(2\/3))\/i)\/(i*i\/(i*i**(-2\/3))))\/(((i*i**1)\/i*i)\/i)**10 assuming i is positive.\nAnswer: i**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-3 - -2) + 5 + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3356304 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2118172163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000028419436842 to seven dps.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - 29. Calculate the highest common factor of 5 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1034473, -1034496, -1034521, -1034548, -1034577, -1034608, -1034641?\nAnswer: -1034676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3769707563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.98 + 0.02. Let d be 1\/(-2)*-6*(-4)\/6. Are d and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25622*q - 406215 + 661171 + 564948 for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 - 2)*(2*h**3 - 4089*h**2 + 7090*h - 7090*h).\nAnswer: -8*h**3 + 16356*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((18\/(-8))\/(-9))\/((-2)\/(-8))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 266*h**2 + 10*h + 11. Let t be y(-3). What is the greatest common divisor of 285 and t?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -211514.\nAnswer: 1057570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 21*m + 23. Let v be u(-23). Suppose 6*h - 123 - v = 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: Solve -12*i = -7*i - 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*d + d. Let v(h) = -h**2 + 2. Let l be v(d). What is the units digit of l*(26\/(-14) - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + -2. Let n be 37\/f - 18\/(-108). Let j be (-3)\/n - (-54)\/12. Solve -3 = 2*k - j*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*j + 72 - 16 - 14*j to g*j + t and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14101*n**2*s**2 + n**2 + 83964*n*s wrt s?\nAnswer: 28202*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 15*o**2 + 36. Calculate the least common multiple of 44 and x(-15).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 2*c + 0*c)*(4*c - c**2 - 4*c) + (6 + 0 - 23)*(5*c**3 - 2*c**3 - c**3) + 2*c**3 - c**3 - 4*c**3.\nAnswer: -35*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172518642?\nAnswer: 2, 3, 37, 7001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven tenths of a milligram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*p**2*u**5 - p**2 + 2*p - 2*u**4 - 145*u**2 wrt u.\nAnswer: -480*p**2*u**2 - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21*m + 37 + 16*m - 3*m wrt m?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 2*z**7\/21 + 7*z**3\/6 - 27*z**2. Find the first derivative of o(q) wrt q.\nAnswer: 80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.025 from 0.092391.\nAnswer: 0.117391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29120 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1)*(-3 - (-530)\/180)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -153 - -152.99999893. Round l to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6909420629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12401 + 0.85?\nAnswer: -12400.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 5*y**2 - 7*y + 14. Let l be a(4). Suppose 0 = j - 5*j. Let j*n - l*n**4 + 4*n**2 - n**5 + n - 2*n**2 = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.5, -4, 1\/4, 2\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27117*u**3 + 301*u**2 - 157*u**2 - 144*u**2.\nAnswer: 27117*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 16 - 5*m)*(m - m + 2*m**3 + (7*m - 15*m + 16*m)*(2*m**2 - 3*m**2 - m**2)).\nAnswer: 70*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 95*z**2 - 10180*z + 1605 = 0.\nAnswer: 3\/19, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -181 + 174. Let q(r) = 3*r + 17. Determine q(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 + (-20360)\/(-360) + (-202)\/234?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -510 + -24?\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*i**2 + 23*i**2 + i**3 + 224 - 43*i**2 to the form p*i**3 + q*i**2 + l + b*i and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 79674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -230*u - 263*u - 251*u - 256*u + 1057*u - 55 to the form w*u + h and give h.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + 1)*(0*q - q + 2*q) + 5 - 5 + q)*(-2 - 1 + 4)*(-2*q**3 + 3*q**3 + 2*q**3).\nAnswer: 6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2362229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t + 6*t - t - t - 15*t + 408. List the prime factors of r(-56).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34 in 17, -1.6, -2, -1\/28, 1\/4, -5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -135 + 150. Suppose 8378 + 997 = b*x. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 7*u - 1. Let m(y) = -y - 1. Let b(x) = -3*m(x) - p(x). Suppose 0 = 3*d - 2*d + 2*r + 6, -21 = 4*d + 5*r. What is the tens digit of b(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/25 + 2\/(-5). Let p be (-3)\/9 - (-2)\/(-3). Let v be 196\/(-68) - (p + -2). Which is smaller: v or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -447207*b + 274. Let h(z) = z**2 - 16*z + 45. Let s be h(9). Let k be f(s). What is k rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11616\/7 - -1659. Which is the fourth smallest value? (a) -3 (b) 2\/77 (c) 1\/7 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-8) + (-4103)\/44. Let c = a - -472\/5. Suppose -33*t = -38*t. Sort c, -2\/5, t.\nAnswer: -2\/5, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*f - 55*f + 4 = 0. Factor 3\/4*k + 9\/4*k**3 + 0 + 3*k**f.\nAnswer: 3*k*(k + 1)*(3*k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/1392 and 99\/3976.\nAnswer: 691824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6895885, 13791770, 20687655, 27583540, 34479425?\n\"Answer: 6895885*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 g, and 2 v when four letters picked without replacement from {x: 3, k: 4, h: 1, v: 5, g: 1}.\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.09 + -38.49. Let l = -30.4 - b. What is the nearest to -0.3 in -3, 3, -2, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -369395 (base 10) to base 5.\nAnswer: -43310040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1050374 and 8307?\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**3 - 2*f**2 + 4*f - 5. Let z be u(-4). What is the common denominator of 190\/152*(-22)\/4 and z\/(-4) + (-4)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-15))\/(33\/1980). Which is greater: 114 or m?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = h - 3486, 1752 = 2*b + 12*h - 7*h. Is b greater than 873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/sqrt(2)*2 + sqrt(11)*2 + -3 + -3*6*(sqrt(110) + (1*sqrt(110) - sqrt(110)))\/sqrt(10))**2*-5.\nAnswer: -10825 - 420*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, w: 1, j: 1}. What is prob of sequence jr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 19.6 times -0.0308\nAnswer: -0.60368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 805 = -5*n, -401 + 1386 = 5*r - 2*n. What is the tens digit of (0 - -5)*6084\/r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*s + 59*s = -8105. Suppose 9*k - 1214 = s. Does 45 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - -18. Let v = 20 + z. Let n = v - 39. What is the closest to -3 in n, 2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62\/(-31))\/((-2)\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*r - 53*r = 45*r - 492 for r.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*s = 3. Let n be -1 + 1 + s + -1. Is n\/4 + (-142)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 9:47 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 8:01 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 12) + 8 - (1 + (0 - 20)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.8 - 0.2. Let z = 5 + x. Which is the nearest to 2\/5? (a) 0.4 (b) z (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -481 = i - 0*i. Let r be i\/5 - 1\/(-5). Let d = -18 - r. List the prime factors of d.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28\/13 + -237\/104. Let j = 10.16 - 10. Let b = 5.16 - j. What is the closest to -0.1 in k, b, 0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2309 - -2311. Let h = 0.12 - 0.22. Let m = 0.5 - 5.5. What is the second biggest value in q, m, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 146.093? (a) 1\/4 (b) -2 (c) 1\/83 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -y + 4*y. Let m(l) be the first derivative of l + 1\/3*l**3 + y - l**2. Give m(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3738 and 2058.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4303887, 4303896, 4303905, 4303914, 4303923, 4303932?\nAnswer: 4303941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16233.\nAnswer: 3, 7, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8201.\nAnswer: 59, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**5\/15 - 5*j**4\/6 + 8*j**3\/3 - 11*j**2\/3 + 7*j\/3 + 423. Determine s so that z(s) = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 + 84432*d + 253260.\nAnswer: 4*(d + 3)*(d + 21105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051380041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -13*o**6\/90 + 3*o**3 - 22. Let a(j) be the third derivative of q(j). Let s(k) = k. Calculate s(a(n)).\nAnswer: -52*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2. Let n(w) = 2*w**2 - 4*w + 18. Let r be n(9). Let u(o) = -o**2 - o. Let q(i) = -72*i**2 - 48*i. Let g(p) = r*u(p) - 3*q(p). Give g(h(x)).\nAnswer: 72*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138577010.\nAnswer: 2, 5, 11, 13, 96907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 42848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: d63 (base 15) to base 3\nAnswer: 11010210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 11, c: 3}. Give prob of picking 1 c and 3 f.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, h: 9, s: 2}. What is prob of sequence sh?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -9*c. Let l(t) be the second derivative of 0*t**3 + 26 + 2*t + 0*t**2 + 13\/12*t**4. Determine l(h(f)).\nAnswer: 1053*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 14 = 2*h - 28, -o + 68 = 3*h. Let n be (2 + -8)\/((-4)\/h). Calculate the highest common divisor of n and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104962 divided by 1.\nAnswer: 104962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 251*h + 1752. Let q be t(-7). Which is the closest to 1? (a) 3\/2 (b) q (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -130, -92, -30, 56, 166, 300?\n\"Answer: 12*x**2 + 2*x - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 10. Suppose -4*l - 4*d + 149 = 29, j*d = 2*l - 60. Calculate the remainder when l is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.616 and 23?\nAnswer: 14.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 + p**2 - 6*p**2 - 8*p**2 - 6*p**2 + 20*p**2.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*6*(-3)\/288.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23012 - 120?\nAnswer: 22232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1507, -18, -195 in increasing order.\nAnswer: -195, -18, 3, 1507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g**4 - 10*g**5 + 7*g**4)*(0 + 3 - 2).\nAnswer: -10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 5*i**2 + 4*i - 7. Let g be 1 - -2*(-14)\/4. Let n be w(g). Let d = 35.7 + -35.9. Which is the second smallest value? (a) 4 (b) d (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 3*v - 283683, -1144*v + 1146*v - 212760 = -3*d. Calculate the greatest common divisor of 318 and d.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35119825.\nAnswer: 5, 13, 108061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6262?\nAnswer: 2, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71\/135 + 7\/20. Let u = -2\/27 + t. Sort -1\/8, u, -5 in descending order.\nAnswer: -1\/8, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -1 - 5 + 10 - 12*p + 1 - 26. What is z(-4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77 + 61. Let q = v + -11. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*o + 5275. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r. Let g(v) = -53*v**2 + 3*v + 13. Let y(o) = -105*o**2 + 5*o + 22. Let m(q) = -5*g(q) + 3*y(q). Give k(m(d)).\nAnswer: -100*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91594 is divided by 106?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1918*x - 1918*x - 111*x**3.\nAnswer: -111*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (11 - 5)) + 4 + (-60 - -29 - -105).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -289 (base 10) to base 15\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 5*z + 8. Let o be x(-6). Let m(k) = k**3 + 8*k**2 - 7*k + 10. Let u be m(-9). Let t be u\/182*o\/(-4). Which is bigger: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 127148 + 2?\nAnswer: 127151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**3\/2 + 377275*v**2 + 3772845*v\/2 + 2263725 = 0. What is v?\nAnswer: -3, -2, 150915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dll when three letters picked without replacement from {p: 6, d: 6, l: 8}.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.163461 rounded to 2 decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 107, 86, 53, 8?\n\"Answer: -6*t**2 - 3*t + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**5 - 3*w**5 + 3*w**5 + (-2*w + 2*w**3 + 2*w)*(-3 + 3 - 2*w)*(3*w + 0 + 0).\nAnswer: -13*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 12, u: 1}. Give prob of sequence wu.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5*h + 84, -2*v + h + 11 - 39 = 0. Let s(t) = -2*t + 17. Let f be s(8). What is the units digit of f\/(-2) - 376\/v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t*t\/((t*t\/(t*t**(-3\/4)*t))\/t)*t)\/t)\/t*t*t**(-14) assuming t is positive.\nAnswer: t**(-39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 119 (b) 4\/5 (c) -0.3 (d) 3\/5 (e) -9.5 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 139 and 349781407?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, 4, -3, -90, 43.3.\nAnswer: -90, -7, -3, -2, 4, 43.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -7*q - 3. Let j(o) = 1. Let v(k) = -c(k) - 6*j(k). What is the remainder when 48 is divided by v(4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.9753 - -0.0247. Which is the closest to -2\/5? (a) -1 (b) j (c) 2\/13 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.068 and -0.03.\nAnswer: -0.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-28))\/((-5)\/(-7) - (17 - 16))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 5. Let o be y(0). Let a be ((-2)\/(-8))\/(o\/8). Let r be (-12)\/(16\/4) - 36\/(-10). What is the biggest value in -2\/3, r, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j. Let w(z) = 3*z**2 + 3*z**2 - z**2 + z**2 - 3*z**2. What is w(u(a))?\nAnswer: 75*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (3 - 1 - (-2 - -9))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15728243 times -4?\nAnswer: 62912972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 114930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z + 5. Suppose 0 = n + 5*s + 14, n - 4 = s - 0*s. Let u(a) = a**2 + a - 1. Let h(m) = n*c(m) + u(m). Give h(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1 + (-2 + 2 - 2)*(0 + 3 - 4))*(0*d + d + 4*d).\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4700)\/141)\/(2\/20910). Round n to the nearest 10000.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 4*x + 3. Let g be 50\/(-20)*(-32)\/6*9. Let z be (-20)\/g + 50\/12. Let d(m) = -m**2 + 9*m - 7. Determine z*d(n) + 9*i(n).\nAnswer: 5*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*w)*(20*w**2 - 11*w**2 + 6*w**2) + 0 + 2*w**3 + 0 + 2*w - 2*w + 2*w**3 + (w + 2*w**2 - w)*(-2*w + 2*w - 2*w).\nAnswer: -30*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 65*p - 218423. What is a(-501)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-80)\/60)\/(1 - 401\/399). Let g = -119 + v. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -119*j - 40 = -114*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 0 - 2*d)*(-13 - 16 + 7) to the form s + r*d and give r.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 1 + 7. Let p = f + -3. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(18) - sqrt(162)\/sqrt(9))\/sqrt(6)) + -3 + sqrt(27)\/(sqrt(144)*-4))**2.\nAnswer: -45*sqrt(3)\/8 + 2979\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3122 + -134?\nAnswer: 2655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 48*c**2 - 92*c + 125. Let l be x(50). Let b = l + -523. Solve -5*z - 8 = b*h, -7*z = -2*z + 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7805760 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*v - 43*v - 10. What is the second smallest value in 1, v, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -1 + v**2 - 2*v**3 + v**3 + 0*v**3. Let s(m) be the second derivative of -1 + 1\/4*m**4 - 9*m + 1\/3*m**3 - 1\/5*m**5 - 3\/2*m**2. Give 3*j(b) - s(b).\nAnswer: b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*a - 60*a + 17*a)*(-3 + 1 + 3) in the form h + b*a and give b.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 61, 37, -5.\nAnswer: -5, 3, 37, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*3\/3*4. Let p(y) = -y**2 + 10*y - 11. Let k be p(v). What is the third derivative of 2*a**2 - 3*a**5 - a**5 + a**k wrt a?\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -221943 or -221945?\nAnswer: -221943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c**3 + 20. Let f(z) = -2*z**3 - 7. Let v(y) = -y**3 - 4. Let t(w) = -3*f(w) + 5*v(w). Let d(i) = o(i) - 4*t(i). Differentiate d(g) wrt g.\nAnswer: -27*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - ((-26 - -15) + 14 - -8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.63537 and -4256.26314.\nAnswer: -4253.62777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - (-27 + -56 + 26).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126\/(-798) - (-12744)\/2736.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - -1 - (-8 + 8). Let p be 3 - (-1 + (1 - x)). Suppose 8*b = p*b + 128. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7335 + 4?\nAnswer: -7331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) - -1*(sqrt(304) + 0) - (3*(0 + sqrt(304)) + sqrt(304)))**2.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*o - 0*o. What is the second biggest value in 2\/17, -1, o?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 12*n**3 + 9*n - 7. Let s be ((-15)\/6)\/((-125)\/100). What is the remainder when x(s) is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53*m**2*t**2 - 60*m**2*t - m**2 - 5500*m*t**2 + 1 wrt m.\nAnswer: 106*t**2 - 120*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6762 and 103247.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 8*g**2 + 236*g + 340. Calculate the least common multiple of c(-28) and 9784.\nAnswer: 9784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100000011101010 (base 2) in base 14?\nAnswer: -13dd8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 25 = -2*f, -f + 1 = -4. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(5\/6)*l*l\/l**(-1\/12)*(l**(2\/5))**(6\/29) assuming l is positive.\nAnswer: l**(5219\/1740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/303? (a) -4 (b) 2\/3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.90755 - -1.808. Let q = 0.1 + g. What is q rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/432 and 19\/295056?\nAnswer: 295056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 3. Let i be a(0). Suppose -l - 4*l = i*v - 54, -29 = -2*v - l. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14162000 rounded to the nearest one hundred thousand?\nAnswer: 14200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 5*a = 14, 0 = 2*j + 5*a - 13 - 3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, c: 3, e: 7, m: 1, i: 3}. Give prob of sequence cm.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36920 + 55565. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-1\/2)*x)**(5\/8)*(x**1\/x)**(-42))**(23\/5))**46 assuming x is positive.\nAnswer: x**(1587\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a43e - 1?\nAnswer: a43d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/438 and 14\/21535.\nAnswer: 129210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 1 = -3*i, m - 42*i - 5 = -43*i for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o + 29 = -11. What is the biggest value in o, 1, 0.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 15 = -3*v, 0*v + 2*v + 3 = a. Suppose 4*r + v*r + 24 = 0. Is 3 + r + 45 - 3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231143 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n - 2. Let y(a) = 6*a - 10. Suppose 0 = -3*d - 19 + 10. Determine d*y(h) + 16*u(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 3:41 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -7018 bigger than -7018?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 20 - 0. Let y be (-4)\/9*5\/i. Suppose 6*d = -3*d - 36. Which is the closest to 1? (a) d (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c. Let l be a(-4). Suppose i = 5, -17 = -2*w - l*i + i. Let m = 32 - w. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uutotuyuylolyuyyyou. Give prob of picking 2 l.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 28*v + 226. Let l(n) = 65*n + 453. Calculate -7*b(u) + 3*l(u).\nAnswer: -u - 223","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oynhxhof. Give prob of sequence yo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1092 (b) -3 (c) 3 (d) -2 (e) 0.01 (f) -712 (g) -0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3 + 5*k + 2*k**3 + 2 + 5*k**2 - 6*k**3 + 5*k**3. Suppose p + 6 = 3. Let i(m) = m - 1. Let d(x) = p*i(x) + a(x). Calculate d(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -43*v + 58. Let j(h) = -10*h + 15. Let y(c) = 9*j(c) - 2*p(c). Give y(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/18 - 2579\/6. Let k = w - -425. Is k less than or equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 220*a**4 - 7*a**3 - 678*a + 7. Let r(u) = -u**4 + u**3 - u - 1. Let b(p) = -d(p) - 7*r(p). What is the second derivative of b(s) wrt s?\nAnswer: -2556*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djs. Give prob of sequence dj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 7*s**2 - 6*s - 6. Let d(c) = -13*c**2 + 11*c + 11. Let x(i) = 6*d(i) + 11*q(i). Let b(j) = -28*j + 2. What is b(x(g))?\nAnswer: 28*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 383 divide 2386677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9353251.\nAnswer: 1949, 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 2 = 4*n, 4*n - 21*p = -18*p - 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4 + 2 - 7. Let f(c) = -c**2 + 6. Let p(n) = -f(n) - 6*i(n). Let m be p(-1). Is m not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 3*r + 123, -5*l - 28*r = -26*r - 313. Calculate the remainder when 308 is divided by l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-1) + -4 + -1. Suppose -n*z + 12 = -2*z. Solve 2 = -2*l - z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78654481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 120422 + -71325. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/30)\/(2\/6)*-1. Let p = -2 + 1. Let m = -1 + p. Which is the third biggest value? (a) m (b) w (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 60*x**2 + 148*x + 217. Give f(57).\nAnswer: -1094","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000100110 + 11110?\nAnswer: 11001000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**3 - 4*l**2 + 3*l - 3. Let s(h) = -3*h**3 - 5*h**2 + 3*h - 3. Let r(b) = 5*i(b) - 4*s(b). What is r(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67 by 8.\nAnswer: -67\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37*d**5 + 64 + 61 - 18*d - 125 wrt d?\nAnswer: 740*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n**3 + n**2 - 9*n. Let o(g) = 21*g + 2*g**3 - 49*g + 11*g + 19*g. Let j(w) = -w + 12. Let m be j(10). Calculate m*b(p) + 9*o(p).\nAnswer: 4*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*i - 7*i = -42, -5*q = -3*i + 210. What are the prime factors of 1\/(-7) - 3030\/q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d**2 + 10*d - 108. Determine f(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -5 - (10 + -3 + (1 - 2))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35611?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 10, 0 = 2*o - 7*o - 3*a + 4. Calculate the common denominator of o - (903\/48)\/(-7) and 69\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2748, -5562, -8376?\nAnswer: -11190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmbbbbiwb. Give prob of sequence wimb.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2638.127431 rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 12:37 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 15*(-4)\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27876 or 27872?\nAnswer: 27872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/8 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.858923ml?\nAnswer: 0.004858923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - y - 17 = 0, 2*y - 5 = -5*z + 6. Which is the second smallest value? (a) z (b) 1\/6 (c) -59\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3718 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence immm when four letters picked without replacement from mimmmmmmmmmmmmmmmmmm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5180 and 4440.\nAnswer: 31080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + k - 30 = -5*c, 2*k - 16 = -5*c. Let y = k - -5. Suppose -23*r = -30*r + 49. Solve -5*l = -4*h + r, -y*l + 0*l + 15 = 4*h for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 587.2 - 723. Round q to 0 dps.\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**3 + 42*f**2 + f + 5. Suppose 3*v - 272 = -209. Is 3 a factor of d(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 12, 0 - 16 = -m - 2*b. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 20*q**2 - 85*q + 17. Let y be a(14). Sort -5, -1, -4, y in decreasing order.\nAnswer: y, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b. Let s(h) = -h. Let z(y) = -3*a(y) + 6*s(y). Let u(q) be the third derivative of q**4\/8 - 5*q**2. Determine u(z(v)).\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = h + 18, -3*h - h - 16 = 2*l. Let f(b) be the first derivative of -10*b**3\/3 - 7*b**2\/2 + 51. Let n(p) = 3*p**2 + 2*p. Calculate l*f(k) - 14*n(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -25. Suppose 5*v - 10 = -g*v. Suppose 26 = -v*u + 104. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4\/3)\/x)\/((x*x**4)\/x*x))\/(x**2)**(-12) assuming x is positive.\nAnswer: x**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r + 13. Let z be f(5). Solve n = -z + 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.12 + 0.4. Let d = x + -2.48. Let g = d + 2. Is g smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/53, -8, 1\/6?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1583 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193*b + 93*b + 4*b**2 + 100*b - b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*h = 8, 0*h = 2*h - 4. Let s be (-1 + w)*(-4)\/(-6). Differentiate -6*d**3 - 9 - 839*d**s + 839*d**2 wrt d.\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/2051 + -18169\/2051. Let v = t - -200\/21. What is the nearest to -0.1 in v, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41166 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, a: 3, y: 3, c: 1, u: 2, k: 3}. What is prob of picking 2 y?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*f**3*s**2 - 66*f**3*s - 13*f**2*s**2 - 2*f**2*s + 4*f*s**2 - 2*f wrt s.\nAnswer: 18*f**3 - 26*f**2 + 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 11:48 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5)*v*v**(-1\/5)\/v)\/(v**4\/v)**6 assuming v is positive.\nAnswer: v**(-116\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 89, -4, 3 in decreasing order.\nAnswer: 89, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m + 0*m + 0*m + (-2 + 4 - 1)*(2*m - 5*m + m) + 0 - m + 0 + 33 - 21*m - 33)*(-m**2 - 7*m + 7*m) to the form q*m**2 + a*m**3 + f + y*m and give a.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30016 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -0*g - 6*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o + 5*f + 120 = 16*o, -3*o + 72 = -2*f. What is the remainder when 4245 is divided by o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36229139?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 66*r - 0*r - 9529740. Round r to the nearest 1000.\nAnswer: 144000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552150.\nAnswer: 2, 3, 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-12)\/(-6) - (-51)\/15\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 522 and 432.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t - 2 + 2 + (3 + 1 - 2)*(2*t + 0*t + t) + 4 + t - 4 + (-1 - 4 + 3)*(2*t - 2*t - 2*t)*(-2 - 2 + 2) + 5*t - 4*t + 4*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 319726 (base 11) to base 13.\nAnswer: 14b578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5331377.000036 - 5331356. Let m = 21.32 + -0.32. Let g = m - l. Round g to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4299, 17010, 38157, 67740, 105759?\n\"Answer: 4218*n**2 + 57*n + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 13115.04075 nanoseconds?\nAnswer: 0.000000000021684921875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 17*j**2 + 50*j - 176. Let a be c(19). What is the highest common factor of 585 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 6064?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 2*a + 3. Let f be v(-4). Suppose -7*c - 50 = -17*c. Let z = f + c. Solve -u + 3*x = 2*x, 2*u - 4*x + 10 = z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/1 + 7244\/336*4. Let w = z - 9977\/126. Calculate the common denominator of w and 22\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 7*q**2 - 4*q + 12. Calculate o(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvmvvkkxcvvvkvcxxcx. What is prob of sequence cc?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3238194 is divided by 294379.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 13*z + 19. Give j(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 1 + 13 = 0. Let d be (w\/(-14))\/(3\/21). Suppose -12 = -2*l + d*m + 2*m, -l + 3*m + 1 = 0. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (37 - (-2 - -31)) + -18?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 72\/16 + (-104)\/24. Suppose 6*j = j + 15. Which is the nearest to j? (a) w (b) 0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.12 - -0.02. Let o = -2.9 + 3. Let g = o + y. Is -0.1 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 641 (base 9) to base 5.\nAnswer: 4043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**4 - u**2 + u + 1. Let y(j) = -j + 0*j - 2*j + 6*j**3 - 22*j**2 - 8*j**4 - 3 + 32*j**2. Let l(h) = -4*g(h) + 4*y(h). Factor l(s).\nAnswer: -4*(s - 1)**2*(3*s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*g - 33920138 = -43*g + 15*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((t + 0*t - 3*t)*(-3*t - 2*t + 3*t) + 5*t**2 - t**2 - 2*t**2)*(-2*t**3 + 7*t**3 - 2*t**3).\nAnswer: 18*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-four fifths of a century?\nAnswer: 10560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h. Let r(v) = -21*v - 7. Let s(b) = 10*b + 3. Let q be (1 - 0)*(-1 - 1). Let d(k) = q*r(k) - 5*s(k). What is 2*d(u) + 7*z(u)?\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(9\/4)*b*b*b*b**(-22) assuming b is positive.\nAnswer: b**(-67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - 0.2. Let g = -39\/7 - -174\/35. What is the nearest to z in 2\/9, 1, g?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 280.5 times 1.6\nAnswer: 448.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/5 - 1671*p\/5 - 248514\/5.\nAnswer: 3*(p - 679)*(p + 122)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1590 and 1004734515?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 1:48 AM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32 in -7, 0.4, -0.16, -2\/17, 0.5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 648*u - 32623. What is w(55)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -140 * -4\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*h + 5624 = 5753. Suppose -c - 5*f - 20 = 0, -3*f = 2*f + 20. Sort -9, h, c, -3 in decreasing order.\nAnswer: h, c, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1284428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.684543 and 9.\nAnswer: 8.315457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 4:23 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*u**2 - 525*u**2 + 52*u - 52*u.\nAnswer: -462*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -4 - (-9 + 10 + -13)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -1 - -5) + (-145 - -146)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -5. Suppose 0 = 3*z - 2*f - 12, n = 3*z - f - 6. What is the third derivative of 4*r**2 - 11*r**z + 8*r**4 + r**2 - r**2 wrt r?\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 80*b + 261. What is the remainder when r(-37) is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19 + 3*a**3 + 5*a**3 - 7 + a**2 + 13*a**3 wrt a?\nAnswer: 63*a**2 + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -241 + 245. Suppose -4*z + 5*c = -110, -v*z - 96 = -7*z - 3*c. What is the lowest common multiple of z and 2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*((-3*r + 4*r - 2*r)*(5*r - 4*r + 2*r) - 11*r**2 - 3*r**2 + 8*r**2).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -410*h + 54. Let d(n) = -137*n + 19. What is -17*d(w) + 6*t(w)?\nAnswer: -131*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/(v**(1\/13)*v))\/v*v*v\/v**(3\/8))\/(v**(-6)*v*v*(v\/(v\/v**2))\/v*v) assuming v is positive.\nAnswer: v**(369\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 183525 + -183533. Let w(q) = -4*q**2 - 1. Let n(t) be the second derivative of -11*t**4\/12 - 3*t**2\/2 + t. Give u*w(c) + 3*n(c).\nAnswer: -c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 4 - (8 + (-1 - 16))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 112310690*t**2*z**3 + 104*t**2*z**2 - 4874*t**2 - 11*z**2 wrt z?\nAnswer: 673864140*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-5)*(-5195)\/2078.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -9, 5\/3, -2, 27?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 12:05 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 7001*o**6\/6 + 3759*o**2\/2 - 12528. Find the second derivative of f(g) wrt g.\nAnswer: 140020*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61 + -0.0192239.\nAnswer: -61.0192239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1306604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*z = 2*z + 2*q + 310, 5*q + 60 = 5*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 361 + 295. Let i = v + -652. Sort i, 1, -1.\nAnswer: -1, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3809292 is divided by 417.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10 (b) 39504 (c) -73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 3*g + 1. Let u be (0 + -1 + 2)*5. Is 11 a factor of y(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*x + 42 - 42)*(1 - 3 + 5) + 3 + 2*x - 3 + 8*x + 2 - 20*x + 71*x.\nAnswer: 34*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*t**5 - 4*t**5 - 6*t**5 + (-3*t**2 - 3*t**3 + 3*t**2)*(t**2 + 0*t**2 - 3*t**2) + (2*t**2 - 4*t**2 + t**2)*(0*t**3 - 2*t**3 + 4*t**3).\nAnswer: 5*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -9*p**2 + 28*p - 3. Let a be n(3). Suppose -5*t = -15, -2*t - t = -3*l - 9. Suppose l = 2*v - 12. Solve a = h - v*h + 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 15\/9)*3. What is the units digit of (85 - (a - -3)) + 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 189 = 4*c, 3*n + n = -c + 36. Suppose -y + 9*y = c. Is 50\/9 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from aaaaqaaaaaqaaaaaaqaq.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 65 and 0.121909.\nAnswer: 65.121909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.507 + 0.007. Let h = 14 + -4.2. Let y = h - 10. Which is the nearest to y? (a) -2\/9 (b) i (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4707 and 0.02176?\nAnswer: -102.42432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -5104000?\nAnswer: 5104000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*p + 32 - 18 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - o = -30, z - 17 = -0*o + 2*o. Determine d so that -8*d + 4 + z + 17*d + 3*d**2 - 5 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 652225 by 25.\nAnswer: 26089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + (-8562)\/12)*2. Let q = a + 2350. What are the prime factors of q?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) 3 (c) -0.4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.4 + -1.49. Let j = -0.29 - h. Let x = 6.4 - 6. What is the closest to -2\/3 in x, j, 1\/6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 81030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/9*(-6)\/20*-5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**(-4))\/b**4)**(16\/7) assuming b is positive.\nAnswer: b**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -335 (base 15) to base 8.\nAnswer: -1325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2954565 by -5.\nAnswer: 590913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 14 - 5)*(-4 + 4 - 2)*(-2 - 2*p + 2)*(-1 + 5 - 3)*(0 + 9 - 5).\nAnswer: -160*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 153 - 129. Suppose 4*o = -4*m + r, -o - o + 8 = m. Let f be 12 - o*(-4 + 5). Solve -4*p = -9*p + 5*d + f, -5*d + 14 = 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26749 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 145517, 291139, 436761, 582383, 728005, 873627?\n\"Answer: 145622*p - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b - 2. Let d(c) = -2*c**3 + 14*c**2 - 4*c + 16. Let v be d(7). Calculate y(v).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -3267.\nAnswer: -980.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 222547?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 373.276 - -0.724. Let l = s - 373.9837. Round l to 3 dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 4594*x**5\/5 - 5698*x - 515. Differentiate d(r) with respect to r.\nAnswer: 18376*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -0.3, 7, 284 in decreasing order.\nAnswer: 284, 7, -0.3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 2\/((-2)\/(-5)). Let l = -110 + 112. Let i(v) = -4*v**2 + 5*v + 1. Let y be i(l). Sort -4, w, y.\nAnswer: y, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 17\/(-4) - 3\/(-12). Let t = -251.37 + 253. Let u = t - 1.83. What is the closest to -2\/7 in d, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 695218?\nAnswer: -2\/347609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w - 3. Suppose -15*i + 5*i + 50 = 0. What is the lowest common multiple of s(-3) and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - o**2 + o + 22. Let b be m(0). Suppose 5*k - 63 + 18 = 0. Let v = b - k. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74559 is divided by 73570.\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times -0.72095\nAnswer: -0.043257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10936.\nAnswer: 2, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence laal when four letters picked without replacement from aaaalaaallaa.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -686474000 rounded to the nearest one million?\nAnswer: -686000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z + 4. Suppose 0*g - g = -2*a + 7, -5*g = -4*a + 5. Let b be u(a). Let p = b + 14. What is the remainder when p is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 5*w + 5. Let n(u) = u**2 + u. Let o(f) = 2*n(f) - q(f). Let h(r) be the first derivative of o(r). List the prime factors of h(4).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*t + 0*t - 5*t)*(0 + 1 + 2)*(23 - 19 - 18) in the form r*t + k and give r.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 7*n**4\/6 + 17*n**3\/6 - 5*n**2\/2 + 446*n - 3. Let s(q) = -3*q + 2 - 5*q**2 - 3*q + 0*q. Give -4*g(o) - 11*s(o).\nAnswer: -o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -173208087 + 5?\nAnswer: -173208082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**2 + 8*f - 10 = 0. Calculate f.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 2807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -0*m. Suppose 4 + m = 2*o. Suppose o*g + 4*w = -3*g + 25, 5 = g + 3*w. Solve -4*i + 2 = g*z, 4*i = 4*z - i + 23 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/11 + 7233\/31185. Let w = d - -2\/135. Sort -0.5, -4, w in increasing order.\nAnswer: -4, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89941b (base 12) to base 3.\nAnswer: 11010102211012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*a**2*f + 2*a**2*h**2 - 2*a*f*h - 2*a*f - 4*f*h**2 + 3*h**2 wrt h.\nAnswer: 4*a**2 - 8*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**4 + q + 4 - 154*q**3 - q**2 - 29 + 26 to z*q + p + k*q**3 + g*q**4 + x*q**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 5:26 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/7 - 3118775\/(-847). Calculate the highest common factor of 28 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 57009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-50))\/(7\/70*-2)*45\/(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 4*f**2 - 3*f - 3. Let u be k(-3). Let p = -1 - u. Suppose -p = -d - 0. Solve -d*l = 4*g - 6, l = -2*g + 3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -8*l**3\/3 + 358*l**2\/5 - 878*l\/15 - 52\/5 = 0.\nAnswer: -3\/20, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - ((-7 - (-5 + 9 + -6) - 7) + 9)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0.24, -0.3, -1 in decreasing order.\nAnswer: 0.24, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + f)*(-6*f - 1 + 2 - 3 + (-11 + 12 - 79)*(-8*f - 4*f + 3*f)) as w*f**2 + b + k*f and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -280, -603, -1054, -1633, -2340, -3175?\nAnswer: -4138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/10, -8, 5 in increasing order.\nAnswer: -8, -9\/10, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000696565 to 7 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (-76 - (-20 + (15 - -12))).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2033680 rounded to the nearest 10000?\nAnswer: -2030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/7 + 346*b**2\/7 + 13284*b\/7 + 67680\/7.\nAnswer: 2*(b + 6)*(b + 47)*(b + 120)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**4\/4 + b**3\/3 + b - 2. Let c(x) = -5*x**3 - 3*x**2 - x - 5. Give c(v) + 3*n(v).\nAnswer: -2*v**3 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 238*h**2 - 1458*h + 1473. Determine m(-244).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 + 91*q**2 - 446*q + 188. Determine b(-50).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 715679.7 rounded to the nearest 10000?\nAnswer: 720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -43*x + 8. Is w(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 + 51 = 4*o. Let u be (1 + o)\/(189\/54). Which is the smallest value? (a) 12 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 12*p**2 - 4*p - 5. Give m(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3338730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 i, and 1 b when three letters picked without replacement from zbwbwiwwbkiwziiwzwzb.\nAnswer: 16\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2*45\/6 + 0\/3\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1338 + 1338 - 187*a**3)*(18*a**2 - 40*a**2 - 32*a**2).\nAnswer: 10098*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-10)\/g*g*g*g)*g\/(g**16*g))**(-2\/9) assuming g is positive.\nAnswer: g**(16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 q when two letters picked without replacement from {i: 4, u: 1, a: 1, g: 2, q: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61.2 + -52. Let q = 428.8 + -431. Let a = q + w. Is 1 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g**5\/2 - 62613*g**4\/2 + 20358243*g**3\/2 - 40528707*g**2\/2 + 10116531*g = 0.\nAnswer: 0, 1, 1766\/5, 3819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q + 11 = 19*q - q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 25 and 23 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*o + 30 = 45*o for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19.11 + -24.11. What is the fourth smallest value in b, 0.04, 6, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2791.\nAnswer: 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-28)\/4 + 9 - (-14)\/(-8). Which is bigger: y or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**5\/15 + s**4\/12 + 9*s**2. Let o be u(-3). Solve 6*n - 2*p - o = 2*n, -20 = 4*p for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99\/429*39 + (4 - 21 - -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37*r + 68*r - 38*r - 28*r**3 + (-r**2 + 7*r**2 - 3*r**2)*(-2*r + 3 - 3).\nAnswer: -34*r**3 - 7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 5*f, 2*c + 2 = 5*f - 3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 904417 to the power of 1\/2, to the nearest integer?\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**3\/2 + 25*p**2\/2 - 23*p. Calculate the remainder when s(0) is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1461024547 + -3?\nAnswer: -1461024552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 5663?\nAnswer: 5666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -100231323 or -100231322?\nAnswer: -100231322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68083?\nAnswer: 103, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -401 (base 8) to base 11\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*u - 76072 + 75934 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 7780472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -190909*b**3*o + 2*b**2*o - 5952*b*o - 22*o wrt b.\nAnswer: -1145454*b*o + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.74 from -0.06.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -168 by 84.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 818*t + 829*t - 1757*t.\nAnswer: -110*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -460 + 440. Suppose 12 + 0 = 3*y. Is 7 + k\/y + 2 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35665 and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -21*o + 622. Is 32 a factor of z(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 40730.53375.\nAnswer: -40730.43375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 766062 is divided by 254731?\nAnswer: 1869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.1 + -3985621.0635.\nAnswer: -3985610.9635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 - 21*k - 23. Give w(11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 not equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 2*p**2 + p - 6. What is the hundreds digit of m(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5670 and 412830?\nAnswer: 8669430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5351 - 5450. Is -94 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 269572814 to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 97695 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3457)\/(-18))\/((-70)\/(-21)). Let k = d - 231\/4. Let u = 323 - 1602\/5. What is the common denominator of k and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 18 + 142. Let d = -9 - k. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, n: 1, q: 3, w: 8}. What is prob of sequence qq?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 104*j + 1676. Let f be q(-26). Which is bigger: -1023 or f?\nAnswer: -1023","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 11*h**2 - 3*h + 6. Let b be m(-11). Suppose -2*y = b - 167. Is 16 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 671*o + 10989. Let u be s(-16). Let r = -3 - 1. Which is the second biggest value? (a) r (b) 4 (c) u (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2848325 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 4:53 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*i - 4*a + 9, -i = -a for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1015673327 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1542?\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-4)\/6 + (-1786)\/(-141) and 78?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -v + 22, -5*v + 1 = 4*i - 84. Suppose -76 = -l - l. Suppose 4*g - u - l = 0, 4*u = -3*g + 3*u + i. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4917.283 litres in millilitres?\nAnswer: 4917283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o + 4. Let v be d(-1). Suppose -2*z - v = -14. Let n = 4 - 1. Sort z, n, 2 in decreasing order.\nAnswer: z, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -396+600\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -327 - -330. Find the second derivative of 5 - 6 - h**2 - 142*h**3 + 3*h + 117*h**j wrt h.\nAnswer: -150*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12010 + 18421. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c. Let z(q) = 5*q + 1 - 1. Let s(v) = 6*k(v) - 5*z(v). Let t(j) = -2*j**2. Give t(s(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 294, -5, 5, 2 in descending order.\nAnswer: 294, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4120 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away -62081145000?\nAnswer: 62081144997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -2*k + 102. Suppose -3*s - 2*w + 0*w + k = 0, -41 = -4*s + w. Solve s = 2*j + 3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3936 - 2*t - 3939 + t. Let k(m) be the first derivative of -m**4\/4 + 4*m**3\/3 + 5*m + 1. Let z be k(4). Let d(p) = 1. Calculate z*d(x) + f(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -275 + 1928\/7. Let x be (-14)\/(-2) - (-4 + -2*(-8 - -5)). Let f = 3.95 + 0.05. Which is the closest to f? (a) x (b) n (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1997 take away -3?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9222 is divided by 9204.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, 1\/11, 7, -47, -0.2, -10?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 7*i + 3. Let r = 13 + -20. Let q be y(r). Let v be (12 + 12)\/8 + -1. What is the third smallest value in v, 3\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 217375?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.205, 2\/9, -0.003, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 4*u**2 + 5*u + 7. Let q(l) = -l**2 - 5*l + 1. Let c be q(-4). Let v be h(c). Differentiate a**3 - 7 + v - 5 with respect to a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/12)*m**(-1\/8))\/(m**(1\/5))**33 assuming m is positive.\nAnswer: m**(-797\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*n = -1, 4*m + 0*m - 4*n - 8 = 0. Which is bigger: -9\/104 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + p + 2)*(-3 - 17*p**2 + 3) + (4*p - 4*p - p**2)*(2*p - 2 + 2) - 5*p**3 + 4*p**3 + 0*p**3.\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16815 is divided by 328?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -4817297 equal to -4817298?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/(-6) - (-1)\/3*(-180)\/(-24).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33 + d - 12*d**2 - 33 + (2*d**2 + 0*d**2 + d**2)*(-1 + 6 - 4) - 3*d**2 - 3*d**2 + 5*d**2 - d + d - 13*d**2.\nAnswer: -23*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2452008606.\nAnswer: 2, 3, 2861, 142841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 4 + 19 + -5 - 6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 t when two letters picked without replacement from {t: 9, l: 9}?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q**3 + 78*q**2 + 9*q - 35. Give y(16).\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -4*u - 17, 4*u - u - k = 1. Suppose 0 + 0*w - 1\/5*w**5 + 1\/5*w**3 + 0*w**4 + 0*w**u = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -15*j + 8*j. Let u = -19 - j. What is the tens digit of (28 + -4)*(-4)\/u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -0.018861?\nAnswer: 0.075444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 14520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-48)\/((-30632)\/1616 + 19)*(-3)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + ((-8)\/(-6))\/((-4)\/(-12)). Suppose -12 = -10*m + 4*m. Calculate the greatest common divisor of m and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0*l + l)*(1 - 2 + 3)*(-38*l + 18*l + 76*l).\nAnswer: 224*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5234974977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1141 - 972 = 5*y + 4*f, -1284 = 3*y - 3*f. Let z = 429 + y. Let x(w) = w**2 + 3*w + 4. Let t be x(-3). Solve t*d = 20, 0 = b - 3*d + z*d - 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**2. Let q(n) = n**3 + 4*n**2 + n. Suppose 4*g - 47 = 2*a + 61, -182 = 3*a - 2*g. Let s be 2*((-88)\/a + (-6)\/16). What is s*q(j) + 3*o(j)?\nAnswer: 2*j**3 - j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/22)*z*z\/z**(1\/12))\/((z*z\/(z**(-3\/5)\/z))\/z**(-2)) assuming z is positive.\nAnswer: z**(-2341\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a\/(a**(3\/34)*a))\/a)\/((a\/(a**(-3\/8)\/a))\/a) assuming a is positive.\nAnswer: a**(-199\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5755 (base 11) to base 14\nAnswer: -2a82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g - 2. Let z(x) = x. Suppose -15 = -24*y + 9. Calculate y*k(u) - 3*z(u).\nAnswer: -7*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, i: 1, c: 1}. What is prob of sequence yi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 2\/5, -1, -0.1 in increasing order.\nAnswer: -36, -1, -0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 35 + 44*z - 45*z)*(-2 + 0 + 1)*(-1 + 2 - 2)*(8 - 7*z - 8)*(3 - 4 - 3).\nAnswer: -28*z**2 - 1288*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + -4 + 1*sqrt(52))*3)**2.\nAnswer: -2700*sqrt(13) + 13725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 53587977 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cctncctcnnn. Give prob of picking 1 t and 1 n.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000008085805 rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6134636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00352 to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, 1, 15 in descending order.\nAnswer: 15, 1, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 763968817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1490034981?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 172, 331, 464, 565, 628?\n\"Answer: -m**3 - 7*m**2 + 187*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -184, -830, -1916, -3448, -5432, -7874, -10780?\n\"Answer: -b**3 - 214*b**2 + 3*b + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-136263)\/(-477) - (-2)\/6. What is the highest common divisor of 22 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**5 + k**4*q + k**3 - 8*k*q + 3*q - 2 wrt k?\nAnswer: -20*k**3 + 12*k**2*q + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.24 rounded to 1 decimal place?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -74732 divided by -3?\nAnswer: 74732\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -10, -0.3, -1, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 70926157957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 3*s**2 + s - 1. Let l = 28 - 22. Suppose -v + l = v. Let g be p(v). Solve 3 = -w - g for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**2*i**3 - 18*a**2 - 4*a*i**3 - 13*a wrt a.\nAnswer: 6*i**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k + 5. Suppose -4*m = -0*y + 5*y - 107, y + 5*m = 34. Suppose -4*r = 59 - y. Let i be n(r). Put -2, -3, i in descending order.\nAnswer: -2, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a millennium?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-4 - -7) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -11\/4, -9\/4 in decreasing order.\nAnswer: -0.4, -9\/4, -11\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 62 = -2*u - 4*l, -3*u + 52 = -5*l. Find the third derivative of -u*i**2 + 103*i - 204*i - i**6 + 106*i - 9*i**5 wrt i.\nAnswer: -120*i**3 - 540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 549 - 349. Let a = 199.8 - m. What is the nearest to 0.2 in -4, -6\/11, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 12.2. Let q = 305 - 304.62. What is the closest to -2\/7 in -5, i, q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*c + 8800 - 8737 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1216 + 10844 = 923*n - 591*n for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, j: 5, g: 11}. Give prob of picking 2 g and 1 k.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 278 - 944. Let l = b - -668. Let k = -1 - 0. What is the nearest to 48 in k, l, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1365)\/78*8\/5*(-30)\/42.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/4 and -91\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -3. Suppose 0 = c + 5*m - 22, 0 = 5*c + 4*m - p - 23. Suppose c*l - 4*x = 40, -3*x = l + l - 54. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 0.0874, 1\/5, -1\/4, 4, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -640942*s**2 + 194*s - 1228 wrt s?\nAnswer: -1281884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 122237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4135, -6479, -8823, -11167, -13511?\nAnswer: -15855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, i: 1, c: 5}. What is prob of sequence cf?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -45289 + 0.105201?\nAnswer: -45288.894799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89 + -134. Calculate the remainder when (o\/(-12))\/(-5) - (-297)\/12 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 36. Calculate the smallest common multiple of 8 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8060748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15, 1675, 2092?\nAnswer: 1675","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*r - 58*r - 20 = 2*b, 0 = -2*b + r + 10. Factor -2\/3*w**4 + 10\/3*w**3 - 6*w**b + 14\/3*w - 4\/3.\nAnswer: -2*(w - 2)*(w - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.2 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12047970 and 99570?\nAnswer: 12047970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 3438775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1493*q**4 - q**3 - 27*q**2 + q + 20818827 wrt q?\nAnswer: 17916*q**2 - 6*q - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 667*n**2*v**2 - 31440*n**2*v - 25*n*v - 3825*v**3 + 2 wrt v.\nAnswer: 1334*n**2 - 22950*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3878.\nAnswer: 2, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 26*h + 112. Let u be l(-3). Is 32 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*x = -36, 5*x + 57 = -3*n - n. Let y = n - -10. Let z(u) = 1 + y*u**2 - 2*u + 4*u - 6*u**3 + 0 + 0. Determine z(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, k: 4, a: 3, c: 4}. Give prob of sequence iic.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -443*t**2 + 2*t. Let r(v) = 885*v**2 - 5*v - 1. Let g(w) = 7*d(w) + 4*r(w). Let j be g(2). Round j to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 0*w**5 - 5*w**2 + 0*w**3 - 1\/40*w**6 + 0*w - 1\/12*w**4 + 0. Find the second derivative of u(z) wrt z.\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, -1\/4, 1\/277, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-68)\/20 - -3)\/(-2). Which is the nearest to 1\/4? (a) -1 (b) o (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 21\/5. Let l = 1.02 + -0.02. What is the second biggest value in l, 4, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*h + 2*s + 21, 2*h = 4*s + 24. Suppose -12*m - h = -15*m. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mcheehmcmmmemheeeg. What is prob of picking 2 m and 1 h?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 585678044.\nAnswer: 2, 7, 20917073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11 in 0.03, 45.13, 3\/7?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v**2 + 12*v + 3. Let l(t) = 9*t**2 - 20*t - 5. Let w(u) = 3*l(u) + 5*m(u). Let p(f) = -315*f. Calculate p(w(s)).\nAnswer: -2205*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36378401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/(-12))\/((-92)\/(-368)). Put 0, q, -36 in descending order.\nAnswer: 0, q, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 48671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/55, 4, 0, -2\/71, 1 in descending order.\nAnswer: 4, 1, 2\/55, 0, -2\/71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 8:31 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 145150857 to the power of 1\/2, to the nearest integer?\nAnswer: 12048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28773, 28674, 28575, 28476, 28377, 28278?\nAnswer: 28179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 33 + 2*y**2 - 10 - 1 - 12.\nAnswer: 2*y**2 - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 13\/5 - 3\/5. Let q(v) = -v + 1. Give q(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 0*h - 1930*h**2 + 1949*h**2 + 5 - 5*h. Let w(o) = -77*o**2 + 21*o - 21. Give -5*w(r) - 21*y(r).\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.989 - 1.0718. Let g = -56.5828 - h. Is 0.1 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - ((-10 - -4) + 5)) + -11 + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -23 + 26 - -1*4. Let v(f) = 1 - 2*f**2 + f**2 + 7*f + 0. Let k be v(a). Solve -t = -m + 3*m - 2, k = 2*t + m for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 108*v**2 - 11*v**3 + 67*v**3 + 16*v**3 - 15*v**2 wrt v.\nAnswer: 432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 + 31. Let i = c - -16. Solve -3*q + 6 = -i*w, -q - q + 6 = -w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.6 + -9. Let i = 3272\/7 - 467. What is the closest to -4\/9 in g, i, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 10. Let u = -430 + 419. What is the second smallest value in a, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 44 in descending order.\nAnswer: 44, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (2 - (2 - 6)) + -129 + (-29 - -37).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -8*f**2 + 3*f + 4. Let o(m) = -16*m**2 + 7*m + 9. Let t(y) = 4*o(y) - 9*v(y). Determine t(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3373846.\nAnswer: 2, 7, 173, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 11*o + 27. Let q = -40 - -70. Suppose 0 = -3*m - 3*m + q. Let u be g(m). Sort -1, -6, u, -4 in increasing order.\nAnswer: -6, -4, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 707669542 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from srirrriririsrrrrsr. Give prob of sequence srsr.\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v**(-1\/3)\/v)))**18*v**(-1)*v*v**(-2\/13)\/v*v*((v*v**(-2\/5)*v)**31)**(-11) assuming v is positive.\nAnswer: v**(-37034\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 8*f**7\/245 + 121*f**6\/35 + 16657*f**5\/140 + 1089*f**4 + 4536*f**3 + 1942*f**2. Let a(d) = 0. What is d?\nAnswer: -28, -9\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26137.38ml to litres.\nAnswer: 26.13738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -5*z**5 - 1180*z**4 - 91220*z**3 - 2180800*z**2 + 9856000*z - 10240000 = 0.\nAnswer: -80, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 300 = 3*q, 0 = l + 7*q - 5*q - 102. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhhvhvhhhhhhvhhhhhh. Give prob of sequence vh.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17273*b + 190*b**3 + 8639*b + 14 - 92*b**3 - 99*b**3 + 8634*b.\nAnswer: -b**3 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) -0.2 (b) 437 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -53.5 (b) -5 (c) -1\/400\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 224 and 15085.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -268880 times 0.5\nAnswer: -134440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 31\/5 of a microgram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-705)\/(-55) + 4\/132*6. Let y = s + -5. What is the closest to 2 in 0.4, y, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 1, -61, -179, -371?\nAnswer: -655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 3:57 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*l**3 + 19*l**3 + 32*l**3 - 89*l**3.\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, -3, -0.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/6 - 8*(-4)\/24. Suppose -2*z - 421 = -5*u, -2*u - 3*z - f*z = -180. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 2*p**2 + 2. Suppose 11 = z - 3*z - 3*f, -f = z + 3. Let x be s(z). Suppose 0 + x*d**2 - 2*d - 1\/2*d**3 = 0. What is d?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6565010 rounded to the nearest ten thousand?\nAnswer: -6570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.593872 rounded to three decimal places?\nAnswer: 23.594","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-70*w - 98*w + 288*w)*(7*w - 4*w - 5*w) - w**2 + 3*w**2 - w**2 to the form q*w + s + n*w**2 and give n.\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3680078617.\nAnswer: 3680078617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1)**(2\/37)*(g\/(g\/(g\/g**1)))\/(g\/(g*g**(2\/15)*g)))\/(g\/g**(3\/10)*g*g*g**(2\/37)*g)**(-32) assuming g is positive.\nAnswer: g**(67331\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111346?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*q - 20605. Suppose q - 527 = 6*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -15778.5693349.\nAnswer: -15778.2693349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/72 and 43\/136.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 245*a**3 - 1058*a + 1055*a - 2 + 0 - a**4 + 2 to v*a**4 + q + n*a**3 + u*a**2 + y*a and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**2 + 0*c**3 - 2*c**2 + c**3.\nAnswer: c**3 - 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 8*n**2 - 2*n - 1. Determine p(-5).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 2*r**3\/3 + 3*r**2\/2 - 3*r. Suppose -3*h + 3 = -3. Let t be (0 - h) + -9 + 15. Let s(l) = -5*l - 4. What is t*a(p) + 3*s(p)?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -7 - (-38 - -19)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-17 + -63)) + 3 + -1 + 7?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 30.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -6*c**2 + 641*c - 9895. What is p(88)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14342087?\nAnswer: 23, 41, 67, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(120) + sqrt(30))\/sqrt(10)*6 + 3)**2.\nAnswer: 108*sqrt(3) + 981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyvyvy. Give prob of picking 3 y.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11653\/(-301) - (-4)\/(-14). Which is the nearest to 0? (a) 3\/2 (b) r (c) 3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c. Let u(v) = 14*v**2 - 5*v. Let k(o) = -5*g(o) - u(o). Let q(f) = -5*f**2. Give q(k(n)).\nAnswer: -980*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2642\/15 + -176. Which is the smallest value? (a) h (b) 0.1 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 25, 19, 11, 1?\n\"Answer: -k**2 - 3*k + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1518 - -39.\nAnswer: 38.8482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -13 + 12 - (-7 - -1). Solve -22 = y*f - 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 369 - 511 = 0. Suppose -5*m = -h - 152 - 288, 0 = -2*m - 5*h + c. What is the highest common divisor of m and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -7\/2559, 1\/6, 3\/17?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39127 to the power of 1\/2, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40832, 40835, 40838, 40841?\nAnswer: 40844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 479, 969, 1463, 1961, 2463?\n\"Answer: 2*j**2 + 484*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 0*u + u**2 - 2\/3*u**3 - 1\/30*u**5 + 5\/24*u**4 + 0. What is z(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 7:13 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-5 - -4) - (-2 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*b**5 + 394*b**2 - 19*b**5 - 21*b**5 + 12*b**6 - 4*b**5 wrt b.\nAnswer: 1440*b**3 - 2100*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 527 - 342. What are the prime factors of y?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -166, -263, -342, -397?\nAnswer: -422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 46. Let p = 71 - n. What is the remainder when p is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 112*m**2 - 4. Let h(t) = 225*t**2 + 10. Let n(j) = -2*h(j) - 5*s(j). Determine w so that n(w) = 0.\nAnswer: 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1321140086?\nAnswer: 2, 7, 811, 116359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 4:16 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 5*u - 6. Let w = -17 + 10. What are the prime factors of o(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64009769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 756805.5167 + 63\nAnswer: 756868.5167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1204.37 to the nearest ten.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -124 smaller than -123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.2, -1, -0.0186?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 0, -75\/16, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/315*12*(-14)\/(-4). Which is the biggest value? (a) 344 (b) r (c) -0.3 (d) 4 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence buu when three letters picked without replacement from {b: 5, u: 6, e: 3, t: 1}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 72*s**2 - 1109*s + 322. What is z(85)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 171.51 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 0.77 (b) -3 (c) -2 (d) -0.08436 (e) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 9*g - 17*g. What is the units digit of 1 + g\/(-4) - 4137\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -56, -15, 24, 61, 96, 129, 160?\n\"Answer: -i**2 + 44*i - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -4*p + 228020, 2*l = 5*p - 87727 - 197265. What is p rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 1008*o**4 - 39*o**3 - 39*o**2 + 234*o + 972. Let d(n) = n**4 + n**3 + n**2 - 6*n - 1. Let k(b) = 78*d(b) + 2*f(b). Differentiate k(j) wrt j.\nAnswer: 8376*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 6. Suppose d + 10 = 2*f. What is the tens digit of (-84)\/(-2) - 20\/f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 657 + 5482. What is the thousands digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 1787?\nAnswer: 4\/1787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10012121 - 2201012012?\nAnswer: -2120222121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -183 - -270. Let u = n + -611\/7. Which is the biggest value? (a) u (b) 0.4 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.10358 times 6.3?\nAnswer: 44.752554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p + 5. Calculate l(7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 211365601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -5*p + 35, -2*p - 32*x = -11*x - 16*x - 15*x - 62 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -17 - 7. Suppose -2*h + w - 6 = n*w, -5*w - 2 = 4*h. Solve 5*o + 1 - 6 = -d, 0 = 2*o + 5*d - h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2621052 is divided by 1310420.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away -39707419853?\nAnswer: 39707419850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 810262?\nAnswer: 2, 149, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21, -22, -23?\n\"Answer: -f - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -5*m + 30, -4 = -154*m + 155*m + 4*c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**7\/945 - a**6\/180 - a**5\/135 - 31*a**2. Determine n, given that b(n) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 - -64. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.6 (b) -24 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, l: 7}. What is prob of picking 3 l?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -5*h - 5*d + 2*d, -h - 4*d + 7 = 0. Let o(v) = -v**3 - 5*v**2 - 3*v + 3. Let u be o(-5). Calculate the greatest common divisor of u and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*a + 2*b, 5*b - 9 = -5*a + 6. Let r be a\/((-2)\/(-2)*1). Let j be 2 + r + -388 + -2. What is j rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -3) + 720\/(-238). Let r = -4397\/238 + a. Find the common denominator of -21\/10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1180)\/20 - -14) + 55.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -71 + 67f?\nAnswer: 60e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(1\/(4 + 3 + -6)). Suppose -4*s = -0 - 12. What is the remainder when 24 is divided by (y\/s)\/(1\/(-27))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11258 + 11418. Solve 154*f = b*f + 30 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -9. Let w = -140 - -148. Let s = w + -14. What is the second biggest value in o, 0.2, s, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 8 + (2 - (-7 - -13)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**4 + 63188*l**3 + 189552*l**2 + 189548*l + 63182 = 0. What is l?\nAnswer: -31591, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11797 - -2640. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5763449*a**3 - 83*a**2 - 253*a - 169 wrt a.\nAnswer: -34580694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 540 and 420?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20836123657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 934496.\nAnswer: 2, 19, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aapa when four letters picked without replacement from {p: 4, a: 6}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 56021677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -681 + 672. Let r(s) = s**3 + 11*s**2 + 21*s + 4. Determine r(t).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -13*x**2 + 23. Let n(h) = 7*h**2 - 10 - h**2 - 1. Let l(g) = -9*n(g) - 4*o(g). What is the first derivative of l(t) wrt t?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.289 - 3.289. Sort 4\/9, k, 10 in descending order.\nAnswer: 10, 4\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2206489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15943, -31882, -47821?\n\"Answer: -15939*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 34 = 3*b + 2*x, -3*b + 27 = x for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -9. Let q be 35\/(-5)*r\/(-7). Let i = -6 + q. Calculate the remainder when 15 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*o**2 - 22*o**2 - 27*o + 2 - 6*o**2 - 21*o.\nAnswer: -10*o**2 - 48*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -29637 (base 11) in base 6?\nAnswer: -522323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 407816, 815631, 1223446, 1631261, 2039076?\n\"Answer: 407815*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/2*l**2 - 15 - 21\/2*l = 0 for l.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/7 - 86*o**2\/7 - 2*o\/7 + 86\/7.\nAnswer: 2*(o - 43)*(o - 1)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/28 + 60\/14. Suppose d*q + 2 + 2 = 0. What is the units digit of ((-32)\/20)\/(q\/5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*v + v. Suppose 0 = r - 5*z + 15 + 5, 4*r - v*z = 5. Suppose -1442 = -r*k + 1713. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u. Let i(j) = -2*j + 46. Let w(g) = 15*g + 74. Let d be w(-5). Let z(v) = 1. Let y(q) = d*i(q) + 5*z(q). Give y(r(a)).\nAnswer: 4*a - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -29, -41, -51, -59, -65?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2 + sqrt(57)\/sqrt(3) + (sqrt(19) - sqrt(133)\/sqrt(112))**2 + (sqrt(19) - (5*(1 + sqrt(19)))**2)*1.\nAnswer: -7765\/16 - 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1321, -2677, -4023, -5353, -6661, -7941, -9187?\n\"Answer: m**3 - m**2 - 1360*m + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.45 in -18, 3, -10, 1\/4, -1\/11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -121545.5 + 120260.163. Let d = u + 1287. What is d rounded to one decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**9*p\/(((p*p**(-6))\/p)\/p)*(p**(-2)\/p*p)**(6\/13))**(10\/3))**(-1\/30) assuming p is positive.\nAnswer: p**(-74\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20373543 rounded to 4 dps?\nAnswer: 0.2037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b + 5123 - 4905 + 2*b**2 + 4*b to the form u*b + m + c*b**2 and give m.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 40840 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2\/21, -1\/7, 4, -43 in decreasing order.\nAnswer: 4, 2\/21, -1\/7, -3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 32164 = 5*v, 18*v - 16*v = -4*b + 12848. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144 and 66.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -573754 divided by 41?\nAnswer: -13994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njbnnbbb. What is prob of sequence bnn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1197365.\nAnswer: 5, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15263387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 473073389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (1 + sqrt(180)) - (sqrt(5) + 3 + sqrt(20) - sqrt(5)))**2.\nAnswer: 56*sqrt(5) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b - 1. Let z(j) = -2*j. Let l be z(1). Let o be k(l). Suppose -v = o*v. Is 0 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*u + 24*u - 77*u + 4060 = -21*u for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2683629 is divided by 45484?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 709, -0.2, 11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02841074463 rounded to 3 decimal places?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 650493, 2601968, 5854427, 10407870?\nAnswer: 16262297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*z**3 + 1\/2*z**4 + 0 + 0*z - 1\/4*z**2.\nAnswer: z**2*(z - 1)*(2*z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15173, -17566, -21563, -27170, -34393, -43238?\n\"Answer: -h**3 - 796*h**2 + 2*h - 14378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(-2*g**5 + 4 - 4) - 2*g - g**5 + 2*g - 2*g**3 - 70*g**5 + 132 - g**3 - 130.\nAnswer: -75*g**5 - 3*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -36. Let s = -7 + u. Calculate the common denominator of 3\/15 + 1118\/60 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dmmdmddmddmdmm. What is prob of sequence dddd?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/(-10))\/(10*2\/(-24))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3) + -3)*3)**2 - (0 + -5*sqrt(3) + sqrt(3))**2) + 1.\nAnswer: -54*sqrt(3) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 70768 * 4378\nAnswer: 309822304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -5 + 3 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-2)\/z)*z)**(-3\/5)*((z\/(z**(-1)\/z))\/z)**(3\/13) assuming z is positive.\nAnswer: z**(-33\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 16*y**2 + 25*y + 77. Calculate h(14).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200 - 180 - (76 - (8 + -4)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0234 - 0.2234. Which is the closest to -0.07? (a) -1\/3 (b) -3\/4 (c) o (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/5 - 71525872*a\/5 + 143051752\/5.\nAnswer: -2*(a - 2)*(a + 35762938)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 150 divided by -129142\nAnswer: -75\/64571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(-11))\/h**(3\/5)*h**(1\/2)*h**9 assuming h is positive.\nAnswer: h**(219\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*sqrt(2816)*-3)\/((-2*sqrt(3888))\/(sqrt(12) + sqrt(588)*-2)).\nAnswer: 208*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2) + sqrt(32)) + 5*(sqrt(18) - sqrt(2)))**2 - (sqrt(2)*-1*2 - (-4 + (sqrt(2) + 1)**2)).\nAnswer: 4*sqrt(2) + 449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(-12)*2 - 1169\/(-924) and -5\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 3) in base 8?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 640*n + 2027*n - 25*n**2 + 36*n**2 - 14*n**2.\nAnswer: -3*n*(n - 889)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 59*r**3 - 1 - 57*r**3 - r**4 + 8*r**2 as y*r**3 + z*r**4 + k*r + u*r**2 + t and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1338877713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11960 and 80115440?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 110009981\/255 + -431411. Let n = -2\/85 + u. Sort -4, n, -5.\nAnswer: -5, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 2680?\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*o + 1752274 + 4735724, -4*o = 4. What is y rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 4*h**2 + 2*h. Let p be x(-3). Suppose 22 = -p*u + 10. Is u equal to -17\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*1 + 3 + sqrt(3) + sqrt(12) + 2 + (-2 + sqrt(15)\/sqrt(5) - sqrt(3)) + 2*(sqrt(3) + sqrt(12)).\nAnswer: 3 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 6 = 7*j + 12*z, -2*j + 2*z = -4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 15238, 0.5, -12 in increasing order.\nAnswer: -12, -5, 0.5, 4, 15238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + o + 10 = 0, -4*k + 2*o + 32 = -3*o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -354*g**3 - 617?\nAnswer: -1062*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3 or -5334?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3\/4))**(-1\/3))**(2\/139)*((t*t**(-1\/4)\/t)\/t**11)**(-36) assuming t is positive.\nAnswer: t**(112591\/278)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 12*n + 25 = 0. Suppose 0 = -3*k + b - 14, -2*b + 18 = -0*k - 4*k. Let t be 3*1 - (7 - 6). Sort t, k, n in decreasing order.\nAnswer: n, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1260407217, -1260407216, -1260407215?\n\"Answer: u - 1260407218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 640 and 4240.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(-13))\/o**8)\/(o\/(o*o**(-1\/35))*o**16\/o) assuming o is positive.\nAnswer: o**(-1191\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 600793055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*m - 5*u = -15, -3 = -2*m - u. Solve 5*z + 0*z + 3*c + 4 = m, 5*z - 8 = c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 65*h**2 - 302*h + 126. Let s be q(60). Suppose 2 + 18 = a. Solve s*z = 2*z - a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 1999\/8 (c) 2\/7 (d) -5 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 - 0.0057. Round g to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 125 - 121. Suppose 3*g = -5*n - 138, -c*g - 32 = 5*n + 157. Let i = g + 136. What are the prime factors of i?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -5) + 3 - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(76) + (sqrt(76)*-1 - sqrt(76)) - sqrt(76)) - sqrt(76) - sqrt(76) - sqrt(76)) + sqrt(76))\/(2*sqrt(484)) + 1*(sqrt(684) + -1*sqrt(684)*-1).\nAnswer: 126*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 49099.363 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2280\/264 + -9)\/((-2)\/11). Solve -r - 5*i = -4*i + s, 2*r + 4*i = -14 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*z**4 - 197*z**2 + 7606 wrt z?\nAnswer: 16*z**3 - 394*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/13966 - 509789\/139660. Let p = 685 - 8159\/12. What is the common denominator of p and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.037 * -361\nAnswer: -13.357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-6))\/(1\/(-9)). Let s(k) be the third derivative of a*k**2 - 1\/24*k**6 - 1\/30*k**5 + 5\/24*k**4 + 0 + 1\/3*k**3 + 0*k. Suppose s(j) = 0. Calculate j.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*x**3 + 14*x**3 - 3*x**3 - 1 + 1 - x**3 + (-6*x + x + x)*(3*x**2 - x**2 - x**2).\nAnswer: 21*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2*q + 15, -4*w + 0*q - 55 = -3*q. Let n be w\/(-3) + (-6)\/(-9). Suppose -2*y = -n*y - 4290000. Round y to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29152.22 litres in millilitres?\nAnswer: 29152220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.599 to 2 decimal places.\nAnswer: -20.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5\/1438 - 4150807\/5752. Let j = m + 726. Calculate the common denominator of -13\/28 and j.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1410432401 (base 5) in base 14?\nAnswer: 69d084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268505?\nAnswer: 5, 83, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1663200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (9 - 4)) + 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 3. Let o = 0.13 + 8.87. Let r = o - 5. Which is the nearest to s? (a) 3 (b) -0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4871.914 weeks?\nAnswer: 49108893.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 36, 7, 10, -349, 45 in decreasing order.\nAnswer: 45, 36, 10, 7, -1, -349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 47*q**2 - 82*q + 1581. Give m(48).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1398*m**2 - 1403*m**2 + 2799*m**2 - 2092*m.\nAnswer: -2*m**2 - 2092*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 7*m + 11. Let p be j(5). Suppose l - 1 = -2*v, -p = l - 2*l - 4*v. Suppose -i + 103 = l. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -9 - 0. Let b(t) be the first derivative of 0*t + 0*t**x + 1\/4*t**4 + 3\/2*t**2 - 2. What is the second derivative of b(l) wrt l?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29015 + 29036. What is the greatest common factor of k and 6538?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 12*x**2. Let h(w) = -143*w**2 - 5*w + 1. What is h(s(n))?\nAnswer: -20592*n**4 - 60*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -373*j + 448*j - 2181 = -606 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 95.11 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 178*n + 8218. Calculate z(-46).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 145891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11159 is divided by 2789?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + -0.3. Let j = x + 0.4. Let p be (-270)\/(-63) + (2 - 6). What is the biggest value in 3, j, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 2*o**2 - 4*o + 3. Let b = -12 - -21. Let j = 11 - b. What is the units digit of c(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 30 = -42. What is the remainder when 33 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14540*x - 7273*x - 7266*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-4))\/(5\/20). What is the units digit of 2 + (0 - (m + -3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 m when two letters picked without replacement from ntmtmttnttttttn.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(3\/8)))**23\/((x\/((x**(4\/5)*x)\/x*x))\/(x\/x**(-5\/2)*x)) assuming x is positive.\nAnswer: x**(-133\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 8*p = 3. Let w be -10 - -18 - (p + 1). Let z(t) = t**3 - 5*t**2 - 4*t + 4. Give z(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 591 + -590.983. Let o = -1.09 + 1.1408. Let r = w - o. What is r rounded to 3 dps?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 48*u - 653. Determine b(11).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/5 + 36\/(-135). Let i(m) be the first derivative of -3 - y*m**3 - 2*m**2 - 3*m. Factor i(o).\nAnswer: -(o + 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*p = 2*i + 4695, -4*p + 7789 = 5*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 270*q - 23. Is l(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 3:27 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 206950087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 192\/98 - (183 + -167 - 14\/1)\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + d**3)*(35*d**2 + 27*d**2 - 77*d**2).\nAnswer: -15*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -22300002 (base 4) to base 11\nAnswer: -300a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8644643069?\nAnswer: 53, 89, 1832657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3*j + 2*j + 2)*(47 + 66*j + 48 - 96).\nAnswer: -66*j**2 - 65*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110001 - 11011?\nAnswer: 11010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26057?\nAnswer: 71, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 a when three letters picked without replacement from glgagqxgggqgxg.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyppypp. What is prob of sequence yy?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 17*k**5\/30 - 2*k**3\/3 - 22*k**2. Let w be i(4). Suppose t + 5*t - w = 0. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (3 + -1 - (40 + -37))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (5*(-1*sqrt(95) + sqrt(95)))\/(sqrt(5) - sqrt(80)))*-2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -177 + -1370?\nAnswer: -1557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 30 - 6143754972\nAnswer: -6143754942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 410336 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2149 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 2251?\nAnswer: 2251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91228 is divided by 10115?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - r + 4*r)*(3*r + 3*r**4 + 0*r**4 - 2*r**4).\nAnswer: 2*r**5 + 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.55067 and -0.4?\nAnswer: 0.620268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 88 - 40*t - 187 + 65 wrt t.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -881, -3732, -8477, -15110, -23625, -34016?\nAnswer: -46277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = 19*w + 38 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 31. Suppose 0 = 2*a - 5*a - 108. Let m = x - a. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 155432212?\nAnswer: 155432212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - 0 - (-2 + 0). Suppose 5*w + 0*w - 100 = q. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*(b\/((b**1\/b)\/b))\/b)\/b)**2*(b*(b**(2\/15)\/b)\/b)\/b**(2\/15))**(-8\/7) assuming b is positive.\nAnswer: b**(-8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65 + -64. Is c\/(4 + 93656\/(-23416)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*u*w**3*z**2 + 28*u*w**3 - 34970*u + 3*w**2 + 1651178*z**2 wrt z.\nAnswer: 4*u*w**3*z + 3302356*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - i**2 - 1. Let v(g) = 73*g**3 - 5*g**2 + 18*g - 3. Let u(k) = -5*l(k) + v(k). What is the second derivative of u(b) wrt b?\nAnswer: 468*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18195 to the power of 1\/2, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 10*w - 12. Let c be j(-9). Let f be 2 + -1 - (-1)\/1. Let k be (-2)\/(f\/(-3)) + c. What is the third smallest value in -3\/7, k, -0.01?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by 28?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 4*c - h - 26, -12 = -3*h. Let t be c\/(-18) + (-57)\/(-9). Solve 2*y + t*m = 31, 2*m - 18 = -y - m for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s - 17 - 304*s**3 - 9*s**2 - 312*s**3 + 617*s**3. What is the remainder when n(10) is divided by -1 - 3*1*-7?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1823*u - 609*u - 609*u - 606*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3*s**5 + 2646*s**4 + 5304*s**3 + 6*s**2 - 5301*s - 2652 = 0.\nAnswer: -1, 1, 884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 124 - -1?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3)\/(h*h**(-11\/2)*h))**(-43) assuming h is positive.\nAnswer: h**(-43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4*y = o + 27, -5*o = 4*y + 23. Suppose 3*u + 2*u + 9 = -4*k, 5*u - k + 4 = 0. What is the nearest to -0.3 in y, 0.3, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -504649?\nAnswer: -504646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*y + 7*y - 5*y**2 + y**2 to n*y + u*y**2 + p and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 804?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-19)\/2 + (7 - 1 - -3)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 1\/12*n**4 + 2*n + 0*n**3 + 0 + 0*n**2. Let j(r) = r. Determine j(s(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*b - 1739 + 5113, -4212 = -5*b + q. Let p = b - 518. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 7*p**2 + 15. Let f(i) = -2*i**2. Determine c(f(h)).\nAnswer: 28*h**4 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 1248*n.\nAnswer: 4*n*(n - 312)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4727, 4723, 4719, 4715?\nAnswer: 4711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 5, 8, 917494?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 318938554 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -18*n**2 + 2498*n + 524. Calculate q(139).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (412\/515)\/((-2)\/35)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l + 2*v = 24*l + 20, -3*l = -0*l - v + 30 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 c when three letters picked without replacement from {c: 2, g: 2, m: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c*d*p**2 - c*d*p*r**2 - c*d*p - 4358*d*p**3*r**2 - 17977*d*r**2 - p**3 wrt p?\nAnswer: -2*c*d - 26148*d*p*r**2 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -332 - -332. Solve -6*o - 9 - 3 = b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 3*r**2 + 6*r - 4. Let d be k(4). Suppose 0 = -f - 2*f + 6. Suppose 0 = f*t - t - 12. Sort 5, t, d in decreasing order.\nAnswer: t, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by 9\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 732, 1256, 1778, 2298, 2816?\n\"Answer: -a**2 + 527*a + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/5)\/(-1) - (8 + -11).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 73330*g**3 + 320*g**2 + 80*g - 80. Let y(w) = 2716*w**3 + 12*w**2 + 3*w - 3. Give -3*x(o) + 80*y(o).\nAnswer: -2710*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 6046, 1, -10.\nAnswer: -10, -4, -2, 1, 6046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**5\/60 - 19*k**4\/6 + 77*k**3\/6 + 21*k**2\/2 + 4*k - 18. Let j(g) be the first derivative of d(g). Factor j(w).\nAnswer: -(w - 1)*(w + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-357) + (-264)\/(-357)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 1 + -3 + 6. Suppose 4*y - 3*t - 33 = 7*y, 2*y + t = -20. Let f be (-25)\/y + (5 - (-43)\/(-9)). Solve f = l + o for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**15\/s)\/(s*s**(-2))*s**(-17)*s*s**17 assuming s is positive.\nAnswer: s**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5052.447 grams in nanograms?\nAnswer: 5052447000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5*(sqrt(1053) + 2) + sqrt(1053)*2*5 + 2)*-3*6)**2.\nAnswer: -5832000*sqrt(13) + 213750900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 82401815723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - -67. List the prime factors of (-2)\/((-4)\/y*2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/u**(1\/7))\/u))**(-28)*(((u**(-1\/9)*u)\/u)\/u)**12 assuming u is positive.\nAnswer: u**(-136\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -0.00455331195.\nAnswer: -3.00455331195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -2. Let v = g - 6. Let r = v - 1. Is r != 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 32*r + 5. Let i be w(5). Let b = 2694 - 2723. Let n = i - b. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, t: 6}. What is prob of picking 2 t?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q - 2. Let l be 39 + -1*(-3)\/(-3). Find the common denominator of q\/(-1) - l\/6 and -49\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/45)\/(4\/10). Let f = 117 + -122.16. Let x = -1.16 - f. Which is the second smallest value? (a) l (b) x (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**2. Let r(p) = -5356844*p**2. Give k(r(y)).\nAnswer: 86087332921008*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(1\/2)*r\/r**1*(r**(2\/5))**45 assuming r is positive.\nAnswer: r**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*o + 102*o - 186*o + 28977*o**3 - 7.\nAnswer: 28977*o**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - -0.1. Let u = -4 + s. Let f = 46 - 45.9. Put f, 1\/2, u in descending order.\nAnswer: 1\/2, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 20*a**2 - 155*a - 7. Let w be i(6). Sort 14, w, -4, 1 in descending order.\nAnswer: 14, 1, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*m - 1)*(2 - 1 - 2)*(-2 + 5 + 0).\nAnswer: 6*m + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309*i**2 + 154*i**2 + 157*i**2 + 4 - 4.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.6 (b) 2 (c) -0.03 (d) -1 (e) 121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36080186, 72160373, 108240560, 144320747, 180400934, 216481121?\nAnswer: 252561308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -596 + 57822\/97. Is b less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1818 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**1*v))**22\/(v**(2\/7))**(-36))**(-2\/155) assuming v is positive.\nAnswer: v**(164\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**4 - 6804*i**3 - 5779994*i**2 + 11580408*i - 5793608 = 0. Calculate i.\nAnswer: -1702, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p - 3. Let u be k(-2). Suppose -3*z = 4*s - 46, 0*s - 44 = -u*z - 2*s. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -i + 13. Let t(r) = 5*r + r + i*r + 7 - 12*r. Let f be (-4794)\/(-705) + (-18)\/10. What is t(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 0.2, 160, 2.2, 0.3 in decreasing order.\nAnswer: 160, 2.2, 0.3, 0.2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/5 or -7.1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*y - 43, 2*y + 5*k - 3 = 28. Solve 5*w - 15 = y*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(17) - (1 + sqrt(1088))) + sqrt(17) + -4 + 5.\nAnswer: -6*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 5*s - 9. Determine r(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2330204754 divided by -2\nAnswer: 1165102377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 <= -15775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 3*a - 8. Let g be -1 - 0 - a - -1. Solve 2*b - 26 = -2*b + 5*h, 0 = h + g for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14519522 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -9*i + 1. Suppose 5*y = 0, -4*y = -3*c - 2*c - 15. Let s be p(c). Suppose -5*z + 4*h = -152, -h = -z + h + s. Does 16 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 400\/18 + (-18)\/81. Let f be 1400\/(-154) + 2\/d. Let u(h) = -h**2 - 13*h - 29. What is u(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68 and 459?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28873 is divided by 7101.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*g*z**3 - 57*g*z - 3*g - 4541*z**4 - 45*z - 6 wrt z.\nAnswer: 138*g*z - 54492*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y = 22*y - 42. Suppose -4*w = -50 - y. Is (-596)\/w*1*-4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 5*w, -6*v = -5*v - 4*w + 12. Put 1, v, 0 in descending order.\nAnswer: v, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 18*g + 2. What is f(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(11\/3)\/t**(8\/9))**(18\/11))**23 assuming t is positive.\nAnswer: t**(1150\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 58 - 5?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - 34. Suppose 4*p - u = 3, -o*p - 2*u = -1 + 7. Suppose p = -3*j, 4*v - 4*j - 36 = -8. Solve v = -4*h - 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) + 5 - (sqrt(112) + -1).\nAnswer: -2*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -445*h**3 + 775*h**3 - 2*h**2 + 6*h**2 - 6*h**2.\nAnswer: 330*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -250, -284, -320, -340, -326, -260, -124?\n\"Answer: 3*w**3 - 19*w**2 + 2*w - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3379890270.\nAnswer: 2, 3, 5, 112663009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 3*v - 12 = 0, 0 = -3*o - 3*v. Solve 5*s - 4*u + o = 0, -12 = 4*s - 2*s + u for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e - 1345?\nAnswer: -1326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -268, -267, -190, -7, 312?\n\"Answer: 5*x**3 + 8*x**2 - 58*x - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 432397613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2\/7)*x)\/x)**(-1\/3)\/(x**(-6)*x**5))\/((x\/(x**(1\/2)\/x))**23*(x*x\/(x\/x**(-5)))\/x**(2\/9)) assuming x is positive.\nAnswer: x**(-3677\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20714256 is divided by 1380949.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/4 + -4 + (-6111)\/(-6) is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (760\/(-12))\/((-6)\/(-9)) - (-3)\/(-1)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6018035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1145259504 and 1824?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -460, -896, -1324, -1762, -2228, -2740, -3316, -3974?\n\"Answer: -3*j**3 + 22*j**2 - 481*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o - 5*o + o)*(-3*o**2 + 3 - 3).\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 25 = -b, -5*k + 47*b - 35*b - 16*b = 126 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 266 = -5*m, -93 = -5*b + 3*m + 1125. Let v(p) = 32*p + 6. Let j be v(-4). Let h = b + j. Is h a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13*(-8)\/(-26)*28\/1988?\nAnswer: -4\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21912087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -232 + 1010122002?\nAnswer: 1010121220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.6153478 + 14689.8786522. Let g = 14740.494021 - t. Let u = 49 - g. Round u to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/54 and 3*2778\/612 + -11.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 139806 by 590.\nAnswer: 69903\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 126 (c) -1\/4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 269845335 and 0.3.\nAnswer: 80953600.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28243\/46 - 614. Which is greater: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/89? (a) 1\/2 (b) -0.2 (c) 1\/66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a millisecond in microseconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z**3 + 7*z**2 + z + 2. Let u be b(-3). Calculate the highest common factor of u and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i - 4*i - i + (-3 + 5 - 1)*(-i + 3*i - i) - i + 5*i - 3*i - 5*i - 2*i + 4*i + 4*i - 10*i - 6*i in the form c + b*i and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1008 and 1365?\nAnswer: 65520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 1153 + 65. Let l = p - 113. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 0.041?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 12*y**4 - 9*y**2 + 3*y + 9. Let v(o) = -22*o**2 - 2*o + o + 1 + 21*o**2. Let r(i) = u(i) - 9*v(i). Find the second derivative of r(t) wrt t.\nAnswer: 144*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**5\/7 - 87*o**4\/7 + 768*o**3\/7 + 48484*o**2\/7 + 327456*o\/7 + 606528\/7 = 0. Calculate o.\nAnswer: -13, -4, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 32?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -2*a**5\/5 - 9*a**4\/8 + a**3\/3 + 9*a**2\/4 + a + 111. Let u(i) = 0. What is i?\nAnswer: -2, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -623688760*w**3 + 740232788*w.\nAnswer: -3742132560*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.466 - 0.566. Let q = -17.05 - -17. What is the closest to m in q, 0, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 5:03 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 346 - 344. Suppose -8 = i - 19*b + 16*b, 0 = -2*i - h*b + 16. Factor 0*z**2 + 0*z - 2*z**i + 4\/5*z**3 + 0.\nAnswer: -2*z**3*(5*z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2315330713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 509302 (base 10) in base 8?\nAnswer: 1742566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.1, 0.5, -48797, 1\/26 in increasing order.\nAnswer: -48797, 0, 1\/26, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11550 and 14058.\nAnswer: 2460150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/304*2*((-3255)\/(-4185))\/((-14)\/(-24))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 32815 = -2*x, -5*f - 14 = 1. Is 4\/(-18) - x\/(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 10:27 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -5*q, -3*q - 7*t = -5*t - 30. Solve 269*y = -2*f + 270*y + q, 2*f + 18 = -5*y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, e: 2, z: 4, i: 6}. Give prob of sequence bz.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -57 - (-21 + (7 + 3 - (-25 + 24)))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**3 + 23*l**2 - 16*l - 37. Calculate the remainder when s(6) is divided by 76.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -47\/4. Let j = 0.09 - -2.91. What is the second smallest value in q, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jyev when four letters picked without replacement from {v: 1, y: 4, e: 2, j: 7}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 104?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 12:38 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, u: 4}. Give prob of sequence pu.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 307552734 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/20 and 1\/682.\nAnswer: 6820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -264, -574, -870, -1152, -1420, -1674, -1914?\nAnswer: -2140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70559\/10 - 7067. Let a = -47287\/18 - -2620. Calculate the common denominator of t and a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*n**2 - 62*n**2 - 32*n**2 to the form f*n + o*n**2 + r and give o.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-3)*s)\/s)\/s)\/(s*s\/(s*s\/((s\/(s\/(s**(-4)\/s))*s)\/s)))*s**2\/(s*s**5))**44 assuming s is positive.\nAnswer: s**(-132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**3 + j**2 + 3*j - 3. Suppose 4*w + 5*x = 3*w - 57, -2*w - 114 = 5*x. Let t = 58 + w. Let h be n(t). Solve -h*y + 6*y + 8 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239788\/86372 + (4 - (-440)\/(-104))?\nAnswer: 28\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 774811463?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 111 = 939. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, s: 5, r: 7}. What is prob of sequence sz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*r = 22, 3*x - 7 = -5*r + 4*r. Let z = 5 - x. Suppose w = 13 - 8. Calculate the remainder when w is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 220070?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22550, 43815, 62548, 77483, 87354, 90895?\nAnswer: 86840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (68\/11 - 10) + 4. What is the nearest to -3 in 1, 5, w, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 4:42 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(3) - sqrt(363)) + sqrt(3072) + (sqrt(3) + (sqrt(3) + -3)*-4 - 1*sqrt(27)\/sqrt(9)).\nAnswer: 12 + 58*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -2234, -5934, -11124, -17810, -25998, -35694?\nAnswer: -46904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1597\/76 + 138\/19. Let y be 6\/(((-6)\/(-25))\/((-72)\/90)). Find the common denominator of 3 + 54\/(-16)*y\/35 and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/4 - 3633*a**3\/4 - 908*a**2.\nAnswer: -a**2*(a + 1)*(a + 3632)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g - 2*g**2 + 3*g**3 - 2*g**3 + 5*g**2. Let t be i(-2). Solve -t*l = -3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 4:31 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 270444, 270448, 270454, 270462, 270472, 270484, 270498?\nAnswer: 270514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, n: 12}. Give prob of sequence nnzn.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + sqrt(2) + 3 + -3 + sqrt(50) + -2)**2.\nAnswer: -60*sqrt(2) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*u - 33, 0 = -u - 5*z + z + 4. Is u\/12 + 536\/6 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 315573704?\nAnswer: 946721112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 533\/1547 + (-9 - 1064\/(-119)). Let t = -42.9 - -3.9. Which is the nearest to 2? (a) t (b) v (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -437093880*x**4 + 1517*x - 128549 wrt x?\nAnswer: -5245126560*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + (2 - (-3 + 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/16 + (-6)\/4. Is (l - 1) + 5 + 19 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 82 = 74. Solve 4*b = 6*o - 5*o, -4*o = -t*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130629 to the power of 1\/2, to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28\/5 in 0.9, -0.4, 5, -324, 4\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d**3 - 70*d**2 + 535*d - 1272. Let u(x) = 17*x**3 - 283*x**2 + 2140*x - 5087. Let f(k) = -13*o(k) + 3*u(k). Factor f(c).\nAnswer: -(c - 51)*(c - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2258 or 6?\nAnswer: 2258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*b + 55*b - 9526 = 0. Let f = 196 + b. What are the prime factors of f?\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r - 3. Let t(q) = -q + 2. Let c(w) = -5*t(w) - 3*v(w). Let b = 1 + 2. Give c(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 17. Find the third derivative of 27*t**4 - 18*t**d - t**2 + 0*t**2 wrt t.\nAnswer: 216*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from ppppppsppppps?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 18, 9, -0.25, 2 in ascending order.\nAnswer: -5, -3, -0.25, 2, 9, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i**2 + 10*i + 1. Let f(l) = -14*l**2 - 31*l - 4. Let b(c) = 3*f(c) + 8*o(c). Let k be b(-7). Is k*(7 + -3 + -9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15920 and 56?\nAnswer: 111440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m - 6. Let x be g(-7). Suppose x*n = 3*n + 10. Let i(f) = 2*f + 9*f - n*f. Let v(r) = -r**2. Determine v(i(h)).\nAnswer: -81*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 5*t - 8080, -16188 = 4*b + 3*t - 6*t. What is b rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 379 from -27046721.\nAnswer: -27047100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 166311 and 306.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 20*c**2 - 43*c + 37. Determine j(-22).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31625 is divided by 167?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110001 (base 2) to base 14.\nAnswer: -c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 + 2244?\nAnswer: 2223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - ((-15 - -26) + 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18537 - -23505. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 15. Which is the second smallest value? (a) -0.1 (b) j (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-754)\/(-6) + 4\/(-6) - -3. What is the highest common divisor of 32 and o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -6 + 18. Let n(z) = 6*z - z**2 + 3*z**2 - 1 - i - z**2. What is the units digit of n(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 18 + 2*l)*(9*l - 17*l - 22*l)*(0*l**2 + 4*l**2 - 2*l**2) to the form i*l**2 + x*l**4 + a*l**3 + c + v*l and give a.\nAnswer: 900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -0.019.\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**3 - 13*i**3 + i**2 + 3*i**3 - i + 7*i**3 - 1. Give g(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2849764*d - 174 = 2849677*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 967319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2 + 0 = 0. Solve -4 = o - l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1784, -7106, -15982, -28418, -44420?\n\"Answer: -v**3 - 1771*v**2 - 2*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*y**2 + 194*y**2 + 23*y**2 - 61*y**2 - 2 - 65*y**2.\nAnswer: 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 275285, 275308, 275345, 275396, 275461, 275540, 275633?\nAnswer: 275740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.0704 + -0.762. Let k = -0.3 + u. Round k to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7054, 5, -3, -1, -2, 2, 4.\nAnswer: -7054, -3, -2, -1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (56\/(-10))\/(-1 + (-18)\/(-30)). Suppose 4*t - b = 3*a - 0*a, 2*t + 4 = -4*a. What is the first derivative of -f**2 + 10*f**2 + 2 + 13*f**t wrt f?\nAnswer: 44*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2\/9, -1\/2, 763, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11394*w**4 + 28678 wrt w.\nAnswer: -45576*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37482018 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 622, 633, 658, 703, 774, 877, 1018, 1203?\nAnswer: 1438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 2*b - 61. Let q be s(9). Let k(t) = 10*t - 10*t - 6 - t**2 + 8*t. Let u be k(6). Solve -o - q*h = -u*h + 16, 2*h = -3*o + 22 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132754 = 156*z - 108651 + 34549. Calculate the smallest common multiple of z and 510.\nAnswer: 6630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-1)\/((-12)\/(-9)*-3)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2 + 31*i - 13. Let v = 336 + -324. What is the units digit of c(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2700972059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4*t + 4304, -2*t + 3*p + 5380 = 3*t. List the prime factors of t.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34021457629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1302 and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-90)\/(-35))\/((-370)\/(-777)))\/(18\/(-6)).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 587512, 587523, 587550, 587599, 587676, 587787, 587938?\nAnswer: 588135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, 13\/3, 2, -2, 4, 5.17, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + 0. Suppose -2*f + i = 6*x - 2*x, -x - 5*f + 16 = 0. Let j = x - -1. Solve -j*l = l + 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10021 (base 3) to base 2.\nAnswer: -1011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.012 - 2.988. Sort 2, -5, 4, x in increasing order.\nAnswer: -5, x, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 2*z - 23, 4*r + 7 - 23 = z. Find d, given that 55*d**4 - d**2 + 72*d**r + 3*d**3 - 223*d**4 + 47*d**3 - 3*d**2 = 0.\nAnswer: 0, 1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**6\/120 - t**5\/4 - 19*t**4\/24 - 9*t**3\/2 - 120*t**2. What is the tens digit of b(18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4203*d*w**4 - 5*d + 733*w**4 - 222712 wrt w.\nAnswer: 16812*d*w**3 + 2932*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 82 = 2*q. Let h = q + 82. Suppose -k - k + h = 0. What is the greatest common divisor of 143 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**5\/60 + 25*l**2. Let h(g) = -99*g - 1 + 118*g + 1. Determine h(z(f)).\nAnswer: -19*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 343425 and 0.0172?\nAnswer: 5906.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4084, 16385, 36890, 65593, 102488, 147569?\nAnswer: 200830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -185*g**2 - 22432 + 22432 to the form v*g**2 + w*g + i and give v.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 465 * -9\nAnswer: -4185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 3:37 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1238, -5076, -8900, -12704, -16482, -20228?\nAnswer: -23936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20277 + -9808. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7*-1 - 2852\/(-414). Let k = 0 + 0.36. Let p = 0.04 + k. What is the second biggest value in x, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -4*p - 13. Suppose -5*m = z - 6 - 5, -3*m - 5*z - p = 0. Suppose -q - 790 = -5*q - m*j, 4*q = -2*j + 792. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2453 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**2))\/h**14)**(-1\/37) assuming h is positive.\nAnswer: h**(12\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (15 - 6)) + 1 + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**5 + 3*z**5 + z + 6*z - 4*z**4 - 7*z**3. Let h(x) = -x**5 + x**4 + 2*x**3 - 2*x. Let i(r) = 7*h(r) + 2*l(r). Suppose i(f) = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 17. Calculate the least common multiple of 14 and v.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 133 and 361.\nAnswer: 2527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 3*k**2 - 3*k + 1. Let s be v(4). Suppose -2*m = -2*y - 0*m + 2, -5*m + 10 = -2*y. Solve -b - 3 = q - 3*q, -s*b = -y*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 4 - 1)*(-2*l - 3*l + 3*l) as q + p*l and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 2*d**2 - 3. Let z(t) = -2*t**3 - 5*t**2 + 7. Let a be -6 + -3 - (0 - 2). Let h(k) = a*y(k) - 3*z(k). Find the third derivative of h(f) wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9 + 3 + 26*2\/4. Solve -4*b = y*b - 22 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124014294, -124014296, -124014298, -124014300?\nAnswer: -124014302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/1517? (a) -386 (b) 3\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16074, 26178, 36284, 46392, 56502?\n\"Answer: t**2 + 10101*t + 5972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.08 - 0.06. Let t = v - -0.71. Let k = 1.44 - t. Round k to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*z - 25, 5*z = -a + 6*a. Suppose 2*s + 2*s + 4*p + 8 = 0, -3*p + 22 = -4*s. Which is smaller: a or s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370065278 is divided by 9880?\nAnswer: 9878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13 - (26\/10 - 3\/5). Suppose 0 = -b*t - 6*t + 5083. What is the highest common divisor of t and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 11:47 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + y = 21, -3 = -3*t + 2*y - 1. Suppose -t = -0*g - 4*g. Let z = 4 - g. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + k**2 + 5. Let r be h(0). Suppose -v = -2*v + 4*n - 17, r*n = 4*v + 13. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48055130*n**4 + 3*n**3 - 411073798*n**2?\nAnswer: 1153323120*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -19652 divided by 4913\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) - (sqrt(475) + -2 + -3 - sqrt(475)) - (sqrt(475) + (-5 + sqrt(475))*-6))**2.\nAnswer: -1500*sqrt(19) + 17725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 12*r + 13. Determine i(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*y + 86 = -502. Let o(h) = h**3 - 12*h**2 + 13*h - 8. Let f be o(11). Calculate the highest common factor of f and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 57*v**2 - 160*v - 111. Give c(54).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 2*f + 7. Let n be g(3). Let j = 1 + 0. Sort j, 5, n in decreasing order.\nAnswer: 5, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-2*sqrt(1210))\/(-5*sqrt(8)\/sqrt(4)) + -5 + 4).\nAnswer: -88*sqrt(5)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*j + 12*j - 1 - j**3)*(0 + 1 + 1)*(-2*j**2 + 4*j**2 - 3*j**2).\nAnswer: 2*j**5 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 10:58 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and 156?\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/97, 3\/7, 0.09, -7 in ascending order.\nAnswer: -7, -2\/97, 0.09, 3\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4 + 526*y**3 + 68641*y**2 - 138864*y + 69696.\nAnswer: (y - 1)**2*(y + 264)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 10*i**2 - 27*i - 83. Suppose 45*x - 36 = -396. Let w be l(x). Solve w*s - 20 = -45 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2084.9 + -1961. Round i to 0 dps.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 16*a - 16. Let k(r) = -3*r + 3. Suppose 36*t + 110 = 26*t. What is t*k(b) - 2*m(b)?\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-4))\/(2\/(-4)). Let t be 4\/(-10) - ((-1720)\/50 - 4). Suppose 0 = -4*f - 3*u + u + t, -7 = -f - a*u. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65939, 65926, 65905, 65876, 65839, 65794, 65741?\nAnswer: 65680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**5*o)\/(o**(2\/5)\/o)*o**(-8\/7)\/(o\/(o\/o**(1\/4)*o)*o) assuming o is positive.\nAnswer: o**(729\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -22\/78031065 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -31214, -124838, -280878, -499334, -780206, -1123494?\n\"Answer: -31208*x**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4*(sqrt(1728) - (sqrt(1728) - (sqrt(1728) + sqrt(1728)*3)) - sqrt(1728))\/(sqrt(360)\/sqrt(10)))**2*6*-6.\nAnswer: -248868 + 3456*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 223984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -197, -986, -1803, -2648, -3521?\n\"Answer: -14*q**2 - 747*q + 564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**4\/11 - 278*t**3 + 137460*t**2\/11 + 1034674*t\/11 - 50120 = 0. Calculate t.\nAnswer: -7, 1\/2, 55, 716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**6\/180 + x**4\/4 - 97*x. Let q(g) be the third derivative of m(g). Let b(t) = -17*t**2. Determine b(q(j)).\nAnswer: -272*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 497 + 3a?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 1 + 5 = 0. Let z(r) = -x*r**2 - r**2 + 6*r**2 - 4*r**2. Let h(o) = -3*o**2 + 6*o**2 + 2*o**2. Determine z(h(l)).\nAnswer: -25*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/7128 and -127\/39006.\nAnswer: 1404216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**6 - 9*r**3 - 3*r**2 + 9*r - 9. Let u(i) = i**6 - i**3 + i**2 + i - 1. Let g(b) = -2*n(b) + 18*u(b). Find the third derivative of g(x) wrt x.\nAnswer: 2400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*i = -627 - 1113. Solve -50*o + i*o = 30 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k - 9. Let g be o(6). Suppose -4*r = -4*j - 4, -3*j + 2 = -2*r + g. Suppose 3*y - 18 = -6*y. Which is smaller: j or y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/4 and -10 + 4662\/405 + 2*-1.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8064)\/(-560))\/((-3)\/40*4)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -741 (base 11) to base 9\nAnswer: -1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 7*b**2 + 4*b + 4. Let f(q) = q + 1. Determine -a(y) + 4*f(y).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b - 3*b**2 - 2*b - b + b + 2*b**2 + (-b + 1 - 1)*(b + b - 3*b) - 2*b**2 + 4*b**2 + 0*b**2 + 4*b**2 + 3*b**2 - 4*b**2 + 8 + 3*b**2 - 8.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 15)\/2 + (-3 - 120\/12)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9, 16, 35, 72, 133, 224?\n\"Answer: u**3 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 9*s - 35250000 = 0. What is s rounded to the nearest 100000?\nAnswer: -11800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 16. Suppose -3*m - m = -3*d + 9, -5*m - 12 = -4*d. List the prime factors of j(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 30, 252, 832, 1950, 3786, 6520, 10332?\n\"Answer: 30*o**3 - o**2 + 15*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 884*p**3 + 1004*p**3 + 527*p**3.\nAnswer: 2415*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/21)*(z\/(z**6*z)*z)\/z*z)\/((z*z**(5\/7))\/z**17) assuming z is positive.\nAnswer: z**(218\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 19*j**2 - 24*j + 109. Let l be b(18). Let c(n) = 22*n**3 + 2*n - 1. Give c(l).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16422 is divided by 335?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -147*m**5\/5 + 211*m - 113. Differentiate d(o) wrt o.\nAnswer: -588*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000485484 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19979, -19976, -19971, -19964, -19955, -19944?\nAnswer: -19931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 583 and 196644245008?\nAnswer: 196644244425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 155 + -155.2. What is the nearest to 1\/3 in n, 2, 0.26?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttutxttuxxzuyt. What is prob of sequence ut?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**3 + 1 - 3 - r**3 - 4*r**3 - r to the form h + d*r**3 + t*r + q*r**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.25 (b) 1\/2 (c) -0.1 (d) -2\/3131 (e) 4 (f) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/(-120))\/(-1 + ((-15)\/6)\/5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 167517 + 1?\nAnswer: 167518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2696 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 820 + -837. Put 0.5, -1\/4, k, -7 in increasing order.\nAnswer: k, -7, -1\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 451 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/60 + 0)*-2.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g*g**(-9)))*g)**(-3\/14))**(5\/21) assuming g is positive.\nAnswer: g**(5\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2978, -2198, -1432, -686, 34, 722, 1372?\n\"Answer: -b**3 - b**2 + 790*b - 3766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 44 in -1.172, 6\/5, 2\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 - 1 + 1 + (4*n + 2*n - 3*n)*(3*n**2 - n**2 - n**2).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -179 - -183. Suppose 0 = k*s - 2*f - 20, -3*s + 10*f = 5*f - 29. Let c = -3 - -5. Solve 3*q - 18 + s = 0, -c*j - 5*q + 23 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3366 divided by -3366?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 259103210 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**2 - 2*m - 18. Let d(s) = -s**2 - s + 1. Let h(k) = -5*d(k) - v(k). Let a be h(-5). Let r be (0 - 8)*(-2)\/4. Solve a*c + r = c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 184010439?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t + 1. Let y(f) = 59*f + 94. Let x(j) = -5*u(j) + y(j). Differentiate x(k) wrt k.\nAnswer: 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.692 + -13.392. What is the fifth biggest value in 0, 0.1, -0.744, x, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/27 and -41\/81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-48)\/(-1)))\/(((-1225)\/(-140))\/(-5)).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + a**2 - 4. Let l(t) = 2*t**2 - 5. Let u = -1872 + 1868. Calculate u*l(x) + 5*g(x).\nAnswer: 5*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z - 70. Let q(b) = 1251*b + 3 - 1 - 1248*b. Let d(k) = 6*q(k) + u(k). What is the first derivative of d(n) wrt n?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 185*g + 1085. What is a(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (4 + -3) - (-3 - -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = h - 54. Suppose 0*q + 108 = 3*q. What is the greatest common factor of q and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 7 + (-1 - 0 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29211?\nAnswer: 3, 7, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**4\/24 - y**3 - y**2. Let u be q(-4). Let g be u\/(-1 + -1) + -76001. Round g to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 1 = -19. Suppose 0 = -4*w + 2*z + 154, 4*w - z = -l*z + 158. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(7) + -1)*5)**2.\nAnswer: -60*sqrt(7) + 211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b + 6. Let c(f) = -10*f - 17. Determine -4*c(g) - 11*u(g).\nAnswer: 7*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/(-2*(-14)\/(-84))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343341*q + 1 + 343320*q - 3.\nAnswer: -21*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/1*(-18)\/12. Suppose 0 = o + o - 2*k - 6, -n*o - k = -1. Suppose j - 11 = -o. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 = 2*u + 2*u. What is the remainder when 1\/(1*4\/u) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + -4*(-4)\/(-8). Suppose -5*n = -4*n - u. Factor -6 + 6*v + 6*v**4 - 2*v**5 - 4*v**2 - 4*v**n + 4 + 0.\nAnswer: -2*(v - 1)**4*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n - 119 = -26*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddckkkdvcd. What is prob of sequence kdvd?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 7*b - 129*b**2 + 6 - 15*b + 126*b**2. Suppose 4*f + 2*w + 1 - 3 = 0, -4*f = -5*w + 19. Let z(i) = -i**2 - i + 1. What is f*a(p) + 5*z(p)?\nAnswer: -2*p**2 + 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1000\/(-60) - -14)\/(2\/3). Which is the closest to -0.1? (a) o (b) 0 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42676675777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 + -29. Let n = -2.05 - -0.05. What is the nearest to 1 in -1\/7, n, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 12 = 2*l, 6*o = 2*o - 2*l + 24. Differentiate 11*u + 13 + o*u - 8*u with respect to u.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1111455?\nAnswer: 3, 5, 8233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(30) - (sqrt(30) + sqrt(30) + sqrt(30) + sqrt(60)\/sqrt(2)))*-2)\/(sqrt(5)*-1*-2))\/((sqrt(12)\/sqrt(6)*6 - sqrt(2)) + sqrt(216)\/sqrt(12)) + -2.\nAnswer: -2 + 3*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40\/19 - -101\/57. What is the third biggest value in -0.08, s, -0.5, 1.8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.22 + 0.12. Let p = -0.5 - -0.5. Suppose 2*h + 0*h - 6 = 0. Which is the closest to s? (a) p (b) -0.3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -107 (b) -3\/4 (c) 1\/6 (d) -45.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**4 - 48*p**3 - 792*p**2 - 2592*p = 0 for p.\nAnswer: -6, 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5366 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*c**3*s - 184*c**3 + 220*s wrt c?\nAnswer: -18*c**2*s - 552*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -525\/8 - -7831\/24. Let s = -754\/3 + b. Factor 0 + s*h**2 + 10*h**3 + 3*h**4 + 8\/3*h.\nAnswer: h*(h + 2)*(3*h + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 7*s**3 - 2*s. Let q(x) = x**2 + x + 1. Let b(r) = -111*r**3 - 3*r**2 + 30*r - 3. Let j(c) = -b(c) - 3*q(c). What is 33*g(m) - 2*j(m)?\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*b - 156, -5*b = 8*g - 12*g + 208. Suppose 58*y - 588 = g*y. What is the remainder when y is divided by 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 4*q + 4. Let s = 20 - 28. Let b(z) = -2*z**2 + 11*z + 11. Give s*w(d) + 3*b(d).\nAnswer: 2*d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2378 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 682 is divided by 2\/19*-1 + 295\/95.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 7 - 8, 7*p + a = 11. Solve 3*s = r + 3 - 13, 0 = r + p*s + 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r. Let k(g) be the first derivative of -g**2\/2 + 5. Calculate -3*k(i) + z(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 7\/((-7)\/2)*1. Let c(j) = 67*j - 67*j + 2*j**p. Let i(n) = -17*n + 5. Let k(h) = 8*h - 2. Let r(q) = 2*i(q) + 5*k(q). Give r(c(z)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3af28 (base 16) in base 11?\nAnswer: -155449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*c + 14*c + 21*c - 1 + c + 1 + (3 + 1 - 6)*(4*c - 3*c + 0*c))*((-2*c - 2*c + 0*c)*(-3 + 1 + 0) - 3*c + c - c).\nAnswer: 130*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*x + 1. Suppose 0 = -5*k - s + 26, -k = -2*s - 4 + 1. Is k greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 18*f**2 - 8*f - 452. What are the prime factors of a(28)?\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/5*(5 - 65\/10). What is the second biggest value in -3, 1\/4, v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 78\/29 less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2338667 to the power of 1\/3, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(-1\/12)*m)\/m**(5\/2)*(m*m**0*m)**(6\/25))\/((m**(-2))**(4\/25)*((m**(-1\/2)\/m)\/m*m)**(-2\/97)) assuming m is positive.\nAnswer: m**(6901\/5820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r**3 - 4*r**3 + 3*r**3)*(-58391 - 1259 - 28960 - 60285 - 10229 - 22351) to the form s + c*r**2 + a*r**3 + i*r and give a.\nAnswer: 181475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13938556 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 15*v - 4 - 1 - 8.\nAnswer: -15*v - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**4\/11 + 46498*t**3\/11 - 271855560*t**2\/11 + 18549331400*t\/11 - 69850612000\/11 = 0. What is t?\nAnswer: 4, 65, 11590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**3 - 19*b**2 - 2*b - 15. Let m be y(-5). Let l = m - -238. Solve -9*j = -l*j - 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - 3 - (11 + -89). Suppose 5*b = j + 46. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 36*y**2 - 29*y - 120. Let l be c(-5). Do l and 925 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 66*l**2 - 277*l - 14075. Determine h(-67).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*i = 41, -i = 3*u - 26 - 35. Suppose -3*b = 16*c - 13*c + 3, -3*b - 3 = 5*c. Let a = b + u. Is 21 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -190 by 38.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 11*d**2 + d - 15. Let s be 10*(-8)\/(-60)*33\/4. Give z(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 3:31 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 24*a + 51. What is l(-19)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12165177?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2 = 2*i + 4*t, -i = -5*t + 17. Let v(q) = -57*q - 20. What is the units digit of v(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 8*t - 1. Suppose -2*r = -o - 1, -o + 2*r = -2*o + 7. Is u(o) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**3*o - 108*b**3 - 10*b**2*o - 123*b**2 - 3*b*o + 2085*b + o - 153 wrt b.\nAnswer: 12*b*o - 648*b - 20*o - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2. Let m(n) be the first derivative of -n**5\/15 - 9*n**2\/2 - 3. Let r(y) be the second derivative of m(y). What is r(s(c))?\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1324122 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-28))\/(2\/(-42)*1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(15\/2)*i\/i**(-7\/2) assuming i is positive.\nAnswer: i**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 9*v + 8. Let o(u) = 2*u - 2. Determine -2*h(f) - 9*o(f).\nAnswer: 2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4540962743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 4*g = -22, 0 = 2*b + 3*g - 16 + 35 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 269, -5, 1, 10 in descending order.\nAnswer: 269, 10, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4 + (sqrt(3072) - sqrt(48)) + (sqrt(12)*-4*-5)**2.\nAnswer: 28*sqrt(3) + 4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -3, 2\/13, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*n**4 + 1320*n**3 + 4565*n**2 - 8925*n - 12250 = 0. Calculate n.\nAnswer: -35\/4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4952509471?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5, -5*r = -4*r - 4*f - 14870. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 12*a**3 - 99*a**2 - 2181*a. Let p(m) = -6*m**3 + 44*m**2 + 1090*m. Calculate -4*i(y) - 9*p(y).\nAnswer: 6*y**3 - 1086*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -40035212 (base 6) in base 14?\nAnswer: -213ca4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29.738*-13.\nAnswer: -386.594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(30)\/(-2*sqrt(10)*-1).\nAnswer: -3 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 + -125\/3. Let n be ((-4)\/15)\/((-12)\/10). Do n and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 - 17 - -51 - -39?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 7*g**2 + 3. Let d be i(7). Let q = d - 3. Suppose -4*b + 3 = -5*b, q = -3*r + 2*b + 12. Sort 3, -3, r.\nAnswer: -3, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2605 + -94\nAnswer: -2699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318*s - 228 = 90. Sort s, -77, 0, 1 in decreasing order.\nAnswer: 1, 0, s, -77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -109 + 109 - 25*b**4 + 16*b**2 wrt b?\nAnswer: -600*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 + 0.1. Let t = 1.5 - -3.5. Which is the nearest to l? (a) 1 (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2867 + -17101\/6. Calculate the common denominator of -47\/2 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.1 - 3.1. Which is the biggest value? (a) f (b) -0.06 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(76)\/sqrt(4) + sqrt(304) + 5 + -5 + -2 + sqrt(1216) + sqrt(1216) + sqrt(1216))**2.\nAnswer: -174*sqrt(19) + 15988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 5*z + 144, -39*o + 42*o = -10*z + 292 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1000100101111111001 (base 2) to base 6\nAnswer: 10011401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 2*m. Determine y(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 87*k**2 + 26*k + 216. Let s be w(-12). What is the greatest common divisor of s and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 13*l**2 - 64*l + 39. Let n be q(17). What is the greatest common divisor of 2033 and n?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 22*f - 31. Let c = 110 - 90. Let d be z(c). Solve -d = -5*q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5153070 and 51586650.\nAnswer: 56739720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nen when three letters picked without replacement from {c: 3, f: 1, e: 2, n: 3, j: 2, p: 3}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 3, 73 in decreasing order.\nAnswer: 73, 3, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 - 3*n - 2. What is the units digit of k(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 11:28 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2285522\/23*o**2 + 2\/23 - 4276\/23*o = 0. What is o?\nAnswer: 1\/1069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135063224 is divided by 605.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0*n = -3*n. Suppose n = 18*c - 713 - 7. What is the greatest common factor of c and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/6*(-104)\/(-65). What is the third biggest value in -2\/11, c, 3, 0.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1036 - -1029. Let k = -8 - -14. Let i(a) = -14*a**2 + 18*a - 1. Let d(r) = 5*r**2 - 6*r. Let t(l) = k*i(l) + 17*d(l). What is t(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ntntinitnl. What is prob of sequence tntl?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -427608 divided by -4?\nAnswer: 106902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 bigger than 1212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = x - 3*x + 10, -3*z = -2*x - 25. Let b = 187\/328 - 8\/41. What is the nearest to -2\/5 in z, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9, -3, 1 in ascending order.\nAnswer: -9, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 5*b**3\/3 + 296. Let h(p) = -3*p. Give g(h(r)).\nAnswer: 45*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 13*v**2 - 2. Let q be 3*237\/63 + 4\/(-14). Suppose 0 = u - 3*u - 12. Let z(f) = 7*f**2 - 1. Determine q*z(t) + u*d(t).\nAnswer: -t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w + 70. Let c be d(17). Suppose -180 = 6*t - 2*t. What is the remainder when 45 is divided by 16\/((c\/t)\/((-6)\/5))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 159987?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-821*2\/6)\/(1\/(-3))?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/2 + 162*g - 672.\nAnswer: 3*(g - 4)*(g + 112)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-3) + (-28)\/(-42). What is the first derivative of 1388*c**2 - 18 - 1426*c**m - 8 - 17 wrt c?\nAnswer: -76*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/282 and 17\/9.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1577333\/114 - -13836. Calculate the common denominator of n and -19\/2.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4 + 85*u**3 - 390*u**2 + 320*u + 800.\nAnswer: -5*(u - 10)*(u - 4)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*p - 90, 2*p - 8*c + 6*c = 36. Calculate the remainder when 358 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3087\/(-14))\/(-49) + (-75)\/50. What is s in -71\/3*s**4 - 576*s + 276*s**o + 2\/3*s**5 - 1008*s**2 + 0 = 0?\nAnswer: -1\/2, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 6 = 6*y. Find the second derivative of a**2 - 12*a**2 - 2*a - y*a wrt a.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3313531?\nAnswer: 13, 254887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/(-12)*((-66)\/42 - -1). Let f = -18\/25 + 176\/175. Which is the second biggest value? (a) 9 (b) f (c) -4 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + (-12 - -14) - (-15 - -46).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, 2, 5, 0.4, -4, 7?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 398546.\nAnswer: 398546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, a: 3}. What is prob of sequence nn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 63751 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a\/(a*a\/a**(-7)*a)))**(-26)\/(a**4)**(4\/3) assuming a is positive.\nAnswer: a**(-718\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/238 and -99\/249284.\nAnswer: 4237828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -585204236599\/354 - -1653120739. Let f = b + -1617\/59. Let j = f - 1410. What is the common denominator of 109\/22 and j?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 9 - 1 = 0. Let p = -0.2 + 0.3. Let v = -1 + 0.5. What is the biggest value in v, f, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, v: 3}. Give prob of sequence nnn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 35?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -1217*n - 43817. Calculate w(-36).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8190 by -7.\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from {l: 1, f: 1, k: 1, z: 1, s: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2543645609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.86421139 to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99185 and 2075?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 3*y = -5*d - 311, 5*d + y = -307. Let i = 78 + d. Calculate the remainder when (-66)\/(-1)*(6 - 5) is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 3*r + 26. Calculate o(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*(-6*(2*sqrt(833)*-1 + sqrt(833)) - (-1*2*sqrt(833) + 3*(sqrt(833) + 0 + sqrt(833))))**2 + -1.\nAnswer: -3336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40379409 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*h = -0*w + 8, -2*w + 5*h - 4 = 0. Let v = 71 - 69. Suppose -v*f + 5*y - 19 = 0, -3*f - y = -f - 11. Solve w*o + 6 = -f for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(-2 + 4 - 4 + (-3 + 3 + 2)*(0 - 3 + 2))*(-r**5 - 2*r**5 + 5*r**5).\nAnswer: -16*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -430*a**3 - 13*a**2 + 16*a + 24. Let u be f(-12). What is u rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*n - 20 = 0, 3*d = -2*d - 4*n - 20. Find the third derivative of 45*p**4 - 16*p**2 + p**3 + d*p**2 - 29*p**4 wrt p.\nAnswer: 384*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 4*l**2 - l - 17. Let g be m(5). Which is the second biggest value? (a) 4\/9 (b) 0.3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -16007\/7097?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 252317.2 and 0.052?\nAnswer: 13120.4944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -62 + 22. Is p a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {k: 5, r: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*(-2)\/(-16)*(-2 + -2). Calculate the greatest common divisor of 1 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 12, g: 3, w: 4, p: 1}. What is prob of picking 2 w?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 i when three letters picked without replacement from {a: 5, t: 2, f: 7, z: 3, i: 1, n: 2}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1330?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 6 = 2, 4*k = -2*m + 2. Let d be ((-8)\/(-18))\/2 + 208\/(-1098). Is m smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -2, -772 in descending order.\nAnswer: 27, -2, -772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2\/221, -0.3, 3?\nAnswer: 2\/221","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -3*g**4 - 9324*g**3 + 4607634*g**2 + 27897228*g + 41971473 = 0.\nAnswer: -3541, -3, 439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 16*h + 19. Suppose 0 = -d - 6 - 11. Let q be a(d). Let o(m) = 0 + 4*m - 5*m + 16*m**q + 0. Determine o(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3410 divided by -682?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, k: 1, d: 2}. Give prob of picking 1 c and 2 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 4*q**2 + 22*q - 18. Determine a(-8).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1143 + 5?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/18*(-2)\/10*(-41)\/(-205)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4518 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8652 by -1348.\nAnswer: 2163\/337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110879 = 33*j - 255817. Is j a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4028 is divided by 1904?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(1\/4)\/k)*k*k*k\/k**(-3))**(-2) assuming k is positive.\nAnswer: k**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72 + 110. Let s = 40 - v. Solve s*g + 8 = -2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*((-8)\/3 + 1). Suppose -1 - i = -2*g. Let d = -6 + g. Sort 0, d, -5.\nAnswer: -5, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 2 = 3*b. Suppose 0 = -b*m - 3*t - t + 15, 5 = t. Let k(a) = a**2 + 3*a. Let h(f) = f. What is m*k(x) + 3*h(x)?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**6\/15 + p**5\/60 + p**4\/24 - 4*p**2. Determine h(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1562 and 568?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*v**5 - 86187*v**4 - 954988*v**3 - 2187712*v**2 + 2595552*v - 458064 = 0. Calculate v.\nAnswer: -3181, -6, 2\/9, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 475420 and 47542?\nAnswer: 475420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3*q**4\/5 - 12558*q**3 + 1254399*q**2\/5 + 4202772*q\/5 + 577116 = 0.\nAnswer: -2, -1, 23, 20910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13674 is divided by 4555.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (104\/32)\/(2\/32). Let u = 94 - f. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - f - 4913 = 0, 14*u - 2*f = 15*u + 979. Sort 1, 3, u in ascending order.\nAnswer: u, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36 + -29 - (2 + 14)) + 13 + -15\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3463, 4792, 18553, 37820?\nAnswer: 62593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336 divided by -48.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 536907 to the power of 1\/2, to the nearest integer?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*((-2 - -3) + 3). Let s be (-42)\/(-4)*(-8)\/(-6). Let n = s + z. Calculate the remainder when 28 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**3 - 46*y**2 - 2. Let l = -635 + 626. Let r(v) = -12*v**3 + 186*v**2 + 9. Let n(x) = l*k(x) - 2*r(x). Factor n(o).\nAnswer: -3*o**2*(o - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 5 + (-28)\/8.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27041687 and 22122.\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 336 and 30123.\nAnswer: 30459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3870, 15485, 34842, 61941, 96782, 139365?\n\"Answer: 3871*z**2 + 2*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (0 - 20\/(-144))*-21. Let x(v) be the second derivative of 0*v**2 + g*v**4 + 0 + 3*v - 1\/2*v**3. What is the second derivative of x(r) wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166323, -166323, -166325, -166329, -166335, -166343?\nAnswer: -166353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 i when four letters picked without replacement from bbiibibiibbbibbi?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 less than 2317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 1 = 4*w - 3, 5*q - 15 = 0. Sort w, 0.1, -3 in descending order.\nAnswer: 0.1, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -5*d - 70. Let v be p(-13). Let t(r) = -21*r - 24. What is the tens digit of t(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*1\/(-3)*9\/(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**3 - c**3 + c**3 + (0*c**2 + 0*c**2 - 2*c**2)*(c + 4*c - 6*c) + (2*c + 3*c - 4*c)*(6*c + 6*c - 10*c + 12*c**2).\nAnswer: 13*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 + 19430. Let g(r) = r. Determine f(g(a)).\nAnswer: -2*a**2 + 19430","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11894566.2 rounded to the nearest 100000?\nAnswer: -11900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 0.02458934728903.\nAnswer: -4.02458934728903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -7*x**4\/24 + 5*x**3\/2 - 15*x**2. Let u(m) = 4*m - 8. What is -6*t(c) - 11*u(c)?\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 960 = 5*k, -l - 4*k - 127 + 633 = 0. Calculate the remainder when l is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.64 - 0.64. Put 5, j, -0.049, 4, -5 in descending order.\nAnswer: 5, 4, j, -0.049, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 33852, 33856, 33862, 33870, 33880?\n\"Answer: r**2 + r + 33850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63339 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-966)\/35 + 27)\/(1\/655*11). Which is smaller: j or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 - -3 - 1 - (-152 - -157) - -15?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/9, -0.41, 0.4, -2\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/4031 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cq when two letters picked without replacement from ccqcccqcqqa.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4574024, -4574019, -4574014, -4574009?\n\"Answer: 5*g - 4574029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 255, 546, 1051, 1842, 2991?\nAnswer: 4570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**3 - 3*l**2 - 4*l - 6. Suppose 18 + 39 = 19*k. Let w be m(k). Is 10 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 6:34 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 207.9988l in millilitres?\nAnswer: 207998.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 4\/5, -0.14, 13.44, 6\/11?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399882?\nAnswer: 2, 3, 7, 9521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, d: 1, h: 2, t: 2, x: 4, o: 2}. What is prob of picking 2 x, 1 a, and 1 h?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 10. Calculate the remainder when z is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 276\/46 - -1*48. Let z be 3\/(-2) - r\/(-36). Let t(b) = -2*b - 6. Determine t(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5\/2 + 9*u**4\/2 + 7*u**3 - 28*u**2 - 48*u + 64.\nAnswer: (u - 2)*(u - 1)*(u + 4)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -42*w - 548. Calculate z(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, w: 5, c: 4, l: 3}. What is prob of sequence acw?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 + 42971848*l - 115411232533444.\nAnswer: -4*(l - 5371481)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 4)*19\/38. Let l(s) = 29*s**2 - 29*s**2 - 5*s**3 + s - 1. Calculate l(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*c - 4*c. Suppose -5*p = -4*q + 5 - 0, 3*q - c*p = 5. Let d be (-14)\/(-8)*(-450)\/210 - -4. Do d and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111 = 4*o + o - 3*x, 6*o - 111 = 2*o - 17451*x + 17448*x for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1253991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*p, -4*c + 3*p - 777 = -7*c. Let a = -168 + c. Calculate the greatest common divisor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from ccbb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h + 3. Suppose 357*j + 21 = 364*j. Let m(c) = 5*c - 2. Give j*k(t) + 2*m(t).\nAnswer: -2*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1111355*c - 1 + 1128061*c)*(c + c - 4*c - 1 + 1 - 2*c + (3 - 3 + 2*c)*(0 + 3 - 4) + 0*c - 3*c + 5*c) as h*c**2 + g + s*c and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 335507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/17, 4\/49, 4\/3, 2\/5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 + 3.5. Let o = -29\/20 + 6\/5. Suppose 4 = -0*c - c. What is the nearest to 1 in m, c, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*t - 4*g = 58*t + 45, -g = 4*t - 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -3*f - 0. Calculate the remainder when f is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hihj when four letters picked without replacement from {h: 2, c: 3, i: 3, j: 3, w: 1, u: 2}?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 562272 and 126?\nAnswer: 11807712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 - 15*o + 8. Let q be x(7). Is q\/((-1 - 4)\/(-14225)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o**2\/o)*o*o))**(-45)*o**(2\/9)*o*o**(3\/2)*o**6\/(o*o**(-1\/3)\/o)*((o\/(o*o**(2\/21))*o)\/o)\/o*o\/(o*o*o**(8\/7)*o) assuming o is positive.\nAnswer: o**(6277\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (2\/6 + 0). Let j = 11.58 + -11.61. Are j and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/4)\/(51\/12 - 4). Let k be (-12)\/i*1*-5. Put 2, -5, k in ascending order.\nAnswer: -5, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -7. Let o = y - -1. Which is smaller: o or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/48 in -17\/8, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 324 and 1595.\nAnswer: 516780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t + 493 = -6387. What is t rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*j + 5, -2*j + 3*f = 2*j - 15. Suppose h + 924 = 4*s - 0*h, -4*h = j. Suppose 0*t = 3*t - s. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44.4 - 8.4. Let g = -35.99999891 + b. Round g to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33762)\/56270)\/((-1)\/115).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c**2 + 6*c**2 - 12*c**2 - 2*c - 2*c**2 + 2*c + (c - 3*c + 0*c)*(-2*c + 2*c + c) - c**2 - c**2 + 0*c**2)*(-173 - 40*c + 173).\nAnswer: 200*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by -19*(5 + -3)\/(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3\/5, -1403, 2, -3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g**2. Let j(t) be the second derivative of 29*t**3\/3 - 13*t - 27. What is p(j(i))?\nAnswer: -13456*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30165121.\nAnswer: 7, 23, 187361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9489167003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 434713303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -39, -67, -117, -195, -307, -459?\nAnswer: -657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2137819 - -0.2146. What is c rounded to five decimal places?\nAnswer: 0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 891 and 396?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 3*s - 7, 3*a - s - s = 6. Suppose a*b - 210 = b. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1085 and 775?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 - (73 - 28) - (6 + (-2 - -4))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-2)*(-11)\/(-121)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 6*j**2 - j - 4. Let n be f(-6). Is 1\/n*(28 - 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vupvfvjtjufpjjfuvjuu. What is prob of picking 1 f and 1 v?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.2 times -0.1?\nAnswer: -1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a - 2 = y, 12*y - 10*y = -4*a - 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76*b*y**3 + b*y**2 + 21222026*b*y - 3*y**3 + 359*y**2 wrt y?\nAnswer: -456*b*y + 2*b - 18*y + 718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 4*j**4 - 92584*j**3 + 2774252*j**2 - 7674728*j + 4993056 = 0?\nAnswer: 1, 2, 27, 23116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xarkc. What is prob of sequence kr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 6. Suppose 0 = -q*i - 7 - 13. Suppose 3*b - 3*r - 6 = -8*r, 3*b = -2*r + 6. What is the nearest to 1 in i, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2\/10 - 511*g\/5 + 261121\/10 = 0. Calculate g.\nAnswer: 511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*y - 220 = -76*y. Is y even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l + 19*l - 6*l - 186 - 6*l + 0*l.\nAnswer: l - 186","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yx when two letters picked without replacement from {a: 1, x: 2, z: 1, u: 3, y: 1, f: 10}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -45560.1282 rounded to the nearest one thousand?\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 4, -1, -9 in increasing order.\nAnswer: -9, -1, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wswwhggwssssgssrs. Give prob of picking 1 s and 1 h.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7\/34 - -233\/272. Let m = 4335905237849\/626643065076 - -30\/81213461. Let g = 5\/1929 - m. Find the common denominator of g and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**2 - 25*w - 173. What is g(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r. Let m(a) = -a**2 + 1081. Determine b(m(x)).\nAnswer: x**2 - 1081","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 17 = f, 35*f = 4*k + 37*f + 10 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 940 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: Let u(l) = l**3 + 8*l**2 - 9*l + 2. Let p be u(-9). Solve 2 + p = 2*g, 0 = -3*t + 3*g - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 153 - 0.2\nAnswer: 152.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.23? (a) 6 (b) -2 (c) -4\/3 (d) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -343, -58, -4, 0?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3780958969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/7 + 36*w**2\/7 + 6*w - 76\/7.\nAnswer: -2*(w - 19)*(w - 1)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 578950218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -10*z + 15. Suppose b - z*b + 10 = 0. Suppose -2*g - 45 = y - 2*y, -b*y + 2*g = -265. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.005*5697\nAnswer: -28.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 4 + 8. What are the prime factors of (-378)\/y*(-17)\/((-153)\/6)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a gram in milligrams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81788, 327172, 736146, 1308710, 2044864, 2944608?\nAnswer: 4007942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 53973321?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**2 + 16*d + 8719. Let i(z) = -26*z**2. Determine i(n(k)).\nAnswer: -104*k**2 - 1664*k - 6656","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 11. Solve 2*p + g = -1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1879.\nAnswer: 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17222985?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -71 (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27433459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 6:20 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 310 and 1364.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 488)\/(4 - -4). Let k = f + -61. Sort -3, -0.3, k.\nAnswer: -3, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -25. Let a = p + 15. Solve -4*n + 8 = n - a*g, -1 = -3*n - 2*g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2086e (base 15) in base 7?\nAnswer: 606512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-10) + (-18)\/60. Let i = 18 - 42. Let g = 1534 + -1534.4. Which is the closest to t? (a) g (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 0*d**3 + 0 - 1\/2*d**2 + 3*d + 1\/4*d**4. Differentiate a(f) with respect to f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -3. Find the common denominator of 1268\/(-420) - 4\/(-14) and -2 + 6\/(-10) + f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (33\/(-11))\/(2\/22). Let p be (-112)\/u*2\/(-7). Let q(x) = 34*x + 3. Is q(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.706941 to two decimal places.\nAnswer: 5.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 17 = 4*t - o, 2*o = 10. Let r = 87 + -86. Solve -t*s - 4 = -r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -7*w - 7. Let j(d) = -d**3 + 14*d**2 - 12*d - 11. Let x be j(13). Suppose 3*k + 5 = x. Which is the closest to k? (a) -0.4 (b) w (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 26.8 and 1.855?\nAnswer: 24.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-5) + 3\/(45\/(-213)). Let l = 19 + q. Calculate the remainder when 15 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231, 451, 671, 891, 1111, 1331?\nAnswer: 1551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 12*d**2 + 11*d + 19. Let m be 44\/(-8)*(-3 - 25\/(-5)). Let v be j(m). Let r = -15 + 16. What is the greatest common factor of r and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-237)\/(-118) + (-6)\/3. Let n = 83 + -84. Which is smaller: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 100 + 5?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 2 = -r, -2460*r + 31*x = -2456*r + 54 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7892 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.6 - 6. Put -2\/7, -2\/13, u, -2\/3 in ascending order.\nAnswer: -2\/3, u, -2\/7, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35519533.\nAnswer: 7, 317, 16007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*h + 27, 0 = 3*h + 2*w + 2*w - 44. Determine s so that -9*s**2 - 1 + 2*s**2 + h*s**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -224 - -194. Let c be 10*(s\/(-320))\/(3\/(-2)). Does c = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 4*p - 6. Let m(z) = -z + 1. Calculate -4*m(k) - n(k).\nAnswer: -k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 8807 = 5*y - 2*k, 2*k = 5*y - 8816. Let s = 2717 - y. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 7*k + 8. Let j be r(6). Let d(u) = 2 + 0*u**3 + j*u + 4*u**2 + 0*u**2 + u**3. Calculate d(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 754425.\nAnswer: 6035400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 = 1582?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 2\/3, -111, 5\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48.1 equal to -119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 4*s - 3. Let o be x(-5). Suppose -5*a - 15 = 0, -5*b + 24 = -o*a - a. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 10*a + 55. Let x be z(-5). Solve -x*l + 6 = -4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 + -13. What is the remainder when (-5)\/30 + 949\/6 is divided by u?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137, -508, -1161, -2138, -3481, -5232, -7433?\nAnswer: -10126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 1) + -1 + -1. Let d be 2 - (2 - (2 - v)). Suppose 0 = -a + d*w + 31, -1 = -a + w - 2*w. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*j + 17 = 0, -2*l + 0*j = j - 5. Solve -l - 2 = 3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6618 - -6625. Solve 2*j = 3*r + 5, 3*r + f = 3*j - r for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -17*z**2 - 349*z - 473. What is a(-19)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.0382*-2\nAnswer: 0.0764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -3 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*x - 89 = -5*x, 0 = -x - 1. List the prime factors of v.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*k = 108. Let u = -6 - k. Suppose g + 1 - u = 0. Calculate the lowest common multiple of 10 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299546473.\nAnswer: 659, 454547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -253 or -3453\/4?\nAnswer: -253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 5. Sort 5, o, -2 in descending order.\nAnswer: 5, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/15 + 2*s**2\/15 - 2*s\/3 + 2\/5.\nAnswer: 2*(s - 1)**2*(s + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 66*x + 22. Let y(z) = -22*z - 7. Let t(l) = -2*i(l) - 7*y(l). Is t(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212246279?\nAnswer: 7, 30320897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-9))\/((-20)\/150)*6\/5\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7064 (base 9) to base 3\nAnswer: 21002011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 96.61582ml?\nAnswer: 0.09661582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 28 + (9 - 12) + (14 - 2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16942, -33886, -50830?\nAnswer: -67774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1841 + 715.\nAnswer: 2556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*c - 2, -3*c - b = 2*b - 12. Let h be c\/4 - ((-99)\/18 + 4). Solve -2*d + 12 = h*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56345 less than or equal to -56327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2\/11 + 68*f\/11 + 144\/11 = 0 for f.\nAnswer: -2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.069 times 0.2?\nAnswer: 0.0138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = -4*w + 149*w. Are 2324 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*88693.\nAnswer: 1773.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gy when two letters picked without replacement from {r: 1, n: 2, y: 1, g: 1, l: 2, f: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4*g = -608. Let i be g\/(-12) + (-12)\/(-9). What is the highest common divisor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ulp when three letters picked without replacement from {k: 1, u: 2, l: 1, p: 1, d: 4}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20201*j - 20109*j - 184 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 8 + -4 - (97 - 110).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.8, 3, -12 in decreasing order.\nAnswer: 3, 1.8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -144 (base 9) to base 6\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21 - 47222?\nAnswer: -47243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: 3a247 (base 13) to base 10\nAnswer: 108050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**3 + j**2 + 99*j - 363. Let w be g(4). Suppose -244 = 4*h + 420. Let m = h + w. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -13*b. Let k be 8\/3 - (-2)\/(-3). Let o be (-1)\/2*-2 - k. Does 13 divide a(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -390202 + -1140?\nAnswer: -391342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 4:27 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/((-2)\/(-2)) - 3. Suppose 5*p = 3*t + 63, 5*p - h*t + 2*t - 65 = 0. Calculate the greatest common factor of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -48, -232, -416, -600, -784, -968?\n\"Answer: -184*l + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 208*s + 26. Calculate o(1).\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.75 less than -0.033625?\nAnswer: 2.716375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -274, -4 in ascending order.\nAnswer: -274, -4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/53))**(-28))**(1\/32) assuming g is positive.\nAnswer: g**(7\/212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -1\/2520*u**8 + 0*u + 1\/225*u**5 - 62*u**2 - 1\/36*u**4 + 1\/1575*u**7 - 2 + 1\/150*u**6 - 1\/15*u**3. Let f(y) = 0. What is y?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 2*o + 986, 5*i + 10*o = 9*o + 4963. What are the prime factors of i?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3423 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*v**2 + 3*v**3 + 146*v**2 - v**3 - 33*v**2.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -54317673?\nAnswer: -271588365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11340.159 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -7) + (295 + -219 - 175).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2346 - 191.1654. Let n = -171 - q. Round n to zero decimal places.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1557, 1554, 1549, 1542, 1533, 1522?\nAnswer: 1509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38*m + 6 + 0 - 4 + 5 wrt m.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7635, 7651, 7683, 7737, 7819, 7935, 8091?\nAnswer: 8293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -586.82200098 - -586.796. Let n = 72.026 - 72. Let w = n + q. Round w to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 4*l + 5*l)*(3*l + 6*l + l + 5*l + l - 3*l + 0*l + 2*l - 3*l + (2*l - 1 + 1)*(2 - 2 - 1) - l - 1 + 1 + 0*l - 3*l + 5*l + 17*l - 2*l + 10*l).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -f**7\/70 + f**4\/12 + f**2\/2 - 3. Let u(o) be the second derivative of l(o). What is the second derivative of u(x) wrt x?\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7)*q)\/q*q\/(q*q*q\/(q*q*q\/(q*q**(4\/15)\/q))) assuming q is positive.\nAnswer: q**(-94\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-seven quarters of a tonne?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 341 = -69. Let t be 234\/14 + (-4)\/(-14). What is the highest common divisor of t and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**3 - 372*x**2 + 308*x - 11209. Calculate l(-187).\nAnswer: 1133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 107 = 140. Let q = -50 + m. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 63, -0.1, -2\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8834 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - r**2 + r - 4. Let u be d(0). Let y be 3\/(9\/(-24)*u). What is the highest common factor of 10 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, n: 5, a: 4, h: 4, p: 1}. Give prob of sequence hn.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -138987100 rounded to the nearest 1000000?\nAnswer: -139000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-224)*12)\/((-1)\/(-56)*6)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.47375 years to months.\nAnswer: 1157.685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23533494*o**2 - 17507050*o wrt o?\nAnswer: -47066988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (11 - (6 - 0))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -2\/5, 2\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -136133335 (base 7) to base 3.\nAnswer: -121212112202221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-417)\/(-3) - (280\/7)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110001101110011111 (base 2) in base 8?\nAnswer: 4615637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1789 != -3875?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1711, -1688, -1665, -1642, -1619?\n\"Answer: 23*z - 1734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541822.\nAnswer: 2, 139, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/100*((-15)\/(-18))\/((-2)\/66).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/o**(2\/3)))**(-19)*(o**(-2\/5))**(6\/7))**21)**(-1\/7) assuming o is positive.\nAnswer: o**(1366\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 less than or equal to 24182740?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*q**2*u + 21552*q*u + 2*u - 92002 wrt q.\nAnswer: 6*q*u + 21552*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 763.1651 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a19 + -5898?\nAnswer: -4d7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40 in -0.1, -1\/4, 3, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30194 + -8743. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 13 - 7 = 0. Suppose -a = -y*c - c - 24, -2*a - 2*c = -24. What is the tens digit of (a\/(-6))\/(-2*2\/156)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42*t**2 - 3539*t?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -4\/3*o**3 + o**2 + 0*o + 1\/4*o**4 + 6. Calculate n(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*k - 161*k - 155*k - 155*k - 155*k + 791*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 762 is divided by 249.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*f = 8*f - 26 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c**8\/8 - 43*c**4\/12 + 44*c + 21. Let r(d) be the first derivative of g(d). What is the third derivative of r(s) wrt s?\nAnswer: -840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 0.4 (c) -30900\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34812475 and 15255.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 less than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2137795?\nAnswer: 5, 11, 47, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-12 + 15 - 10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 4)*6\/2724. Let g = l + 476\/2497. Let f be (-30)\/16 - (0 + -2). Put g, -1\/8, f in increasing order.\nAnswer: -1\/8, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l - 1. Let s(a) = 13*a - 7. Let i(v) = 6*o(v) - s(v). What is i(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4626317, 4626315, 4626313?\n\"Answer: -2*a + 4626319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 30 = -3*h, -5*h - 36 = 2*l - 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -6*t - 34. Let z = 110 - 137. Let v be l(z). Does 28 divide 122 + (v\/40 - 1\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 22*k**2 - 17*k - 95. Let t be l(-5). What is the greatest common factor of 80 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 - -2.02. Let q = r - 3. Let j = -0.3 + 0.6. Which is the smallest value? (a) 3\/2 (b) q (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -3\/2, 151, -2\/13, 1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6510 and 791905695?\nAnswer: 3255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143, -285, -427, -569?\nAnswer: -711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c - 1. Let b(y) = 75*y**3 + 750*y - 375. Determine -b(n) + 375*d(n).\nAnswer: -75*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -9. What is the remainder when (-3)\/(6\/11)*o is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 - -93?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 48\/18 - 12\/(-36). Put -3, w, -6 in decreasing order.\nAnswer: w, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82394?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1220*y + 10 = -1225*y - 5*h, 0 = y + 5*h + 18 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-6)*o*o)\/o**2)\/(o**(-2\/9)*o**(2\/19)))\/((o\/(o**0\/o))**44)**(2\/65) assuming o is positive.\nAnswer: o**(-84371\/11115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v - 1126 - 956. Let u = 669 + v. What are the prime factors of u?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 12) to base 5\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -300507, -300507, -300505, -300501, -300495?\nAnswer: -300487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqfu when four letters picked without replacement from {f: 2, u: 5, q: 7}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 15565 (base 12) to base 4\nAnswer: 13113131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3060\/(-306))\/((-5)\/((-70)\/(-7)))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6\/11 + -19\/55. Let r = 1\/125 - -172\/375. Let h = r + p. Is h smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5985, -6167, -6347, -6525?\n\"Answer: v**2 - 185*v - 5801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*i + 4*t, 0*t + 22 = 5*i - 3*t. Let r(s) = 2*s - 2. Let o be r(i). Solve 0 = o*w + 5*a - 5, 0*a + 8 = 2*w + 2*a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64 + 31. Do -30 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000476663557 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 678446231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-198.7.\nAnswer: 397.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k - 1. Let r be o(7). Let d = 1 + r. Calculate the least common multiple of d and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mgg when three letters picked without replacement from gmmmmpgpp?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 739 + 737 = -112*l - 5222 + 1098 for l.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 = 10*o - 73 + 122. Solve -2*m - 22 = 3*p, p + 2*m + 0 = -o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 16*f**2 + 3*f - 4. Let o be b(1). Suppose 108 = 18*c - o*c. What is the smallest common multiple of c and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j**2 + 4*j. Let t(s) = 7*s**2 - 10*s. Let m(a) = -2*a**2 + 3*a. Let d(k) = 3*m(k) + t(k). Give b(h) + 2*d(h).\nAnswer: 6*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5\/14 + -1\/42. Let r be 2\/10 + 38\/10. Suppose r*n - 2 = 2. Is q at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -347595, -695177, -1042745, -1390299, -1737839, -2085365?\n\"Answer: 7*p**2 - 347603*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1247*g**2 - 6 - 1 - 1 + 9.\nAnswer: -1247*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*(-36)\/1575)\/((-2)\/5).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.8 - 2. Let s = 0.6 + y. What is the third smallest value in s, 4, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-894*p - 507*p - 1435*p)*(5*p + 6 - 6).\nAnswer: -14180*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 + (-7 - -3 - -6). Find the third derivative of 8*c**4 + 3*c**2 + 6*c**4 - s*c**2 wrt c.\nAnswer: 336*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9340755?\nAnswer: 3, 5, 29, 109, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -23*r**3 - 3*r**2 - 4*r - 2. Let q be h(-2). Suppose 3*w + q = 5*w. Let p = 359\/4 - w. What is the smallest value in -0.5, -3\/7, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*l + 5668976 = 740746. What is l rounded to the nearest 1000?\nAnswer: -115000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1655 - 1650. Sort -18\/5, z, -4, -3.\nAnswer: -4, -18\/5, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30305472*x**3 - x**2 + 4*x - 187279413 with respect to x.\nAnswer: 90916416*x**2 - 2*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 131609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 + 58. Let g(r) = -13 + 34 - c + 70*r. What is the hundreds digit of g(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 274 + -315.32. Let r = m - -50.2. Let k = r + -8.4. What is k rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (94\/282)\/((-2)\/(-186)). Let w be 3\/15 - (-18)\/10. Let u be (-375)\/(-12) + w\/(-8). Calculate the highest common factor of u and d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*a, -3*a - 2 = 2*q + 3. Suppose b - 3*b + 10 = 0. What is the remainder when b is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136950.\nAnswer: 2, 3, 5, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3*b**2 + 3*a**3 + 842*a**2*b**2 + 1181*a**2*b wrt b.\nAnswer: 4*a**3 + 1684*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135 - 119 = -4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z + 20 = -21*z. Solve -z = k - 2*q, -4*q + 6 = -k - q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2.4. Let b be 4\/(-6) + -27 + (-70850)\/(-2550). What is the biggest value in -12, z, b, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -391.5037.\nAnswer: 1566.0148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 4599?\nAnswer: 22995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 73*w - 333. What is r(8)?\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 193645, 193624, 193569, 193462, 193285, 193020, 192649?\nAnswer: 192154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-76)\/(11\/((-275)\/10)). Suppose -188*i = -t*i + 844. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75\/13 + 362\/65. Let f = -0.29 - -0.3. Which is the nearest to 0.2? (a) x (b) 0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97 - 2*n**2 + 827 - 116.\nAnswer: -2*n**2 + 614","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.037 - 1.417. Round t to one decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**5 + 14592*z**4 - 616986*z**3 - 4357936*z**2 + 6135912*z + 9862272 = 0.\nAnswer: -7338, -7, -1, 2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10437 - 4270?\nAnswer: 4147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1540393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -8*v - 12. Let s be v\/(-5) + (-22)\/(-5). Solve -1 = -b + s*i, -5*b - 4*i - 3 - 21 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggsggggsdggsggggdg. Give prob of sequence gsg.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52) + sqrt(104)\/(sqrt(18)\/sqrt(9)) + (-5*sqrt(78)*-3 - sqrt(78))\/sqrt(6).\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/790 and (-3)\/(-10)*(-4)\/11.\nAnswer: 8690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49464 by 6.\nAnswer: 8244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0, 5, -1\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 5) to base 6\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/432 + 2*(-1563)\/(-108). Solve 0 = z + u*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -5*c**2 + 11. Let r(b) = -b**2 + 2. Let x = -25 - -58. Let h(l) = x*r(l) - 6*a(l). Let w(v) = 2*v. Give h(w(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 260, 546, 928, 1412, 2004?\nAnswer: 2710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 234636917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 3:07 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/1 - 5\/5. Suppose -2*i + r = -5. Suppose 4*t - i = 21. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 2*k + 14 = 0, -14 = -5*d + 3*d - 2*k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15.6 + 18.6. What is the third biggest value in -37, g, -3\/5?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54\/19 at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -j - 6, 0*x - 3*x = 2*j + 5. Let p = j + 1. Let n = -31.4 - -31.9. Which is the biggest value? (a) 4\/5 (b) p (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*v - 3 = 34*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3293\/356 - (-11)\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-4)*(-126)\/(-108). Sort -1\/5, 3\/7, i.\nAnswer: i, -1\/5, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 7:50 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 + 1272*p**2 - 287*p**2 - 227*p**2 + 12*p - 219*p**2 wrt p?\nAnswer: 1078","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -0*i - 256. Let q(p) = -p**3 - 7*p**2 - 8*p + 4. Let a be q(-6). Calculate the greatest common divisor of a and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y**2 + 9*y - 7. Let m(i) be the second derivative of i**4\/6 + i**3\/2 - i**2 + 21*i. Determine 7*m(u) - 2*n(u).\nAnswer: 2*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + n + 6*n)*(2 + 0 - 1)*(-n + 12 - 12).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1637 by -125357.\nAnswer: 1637\/125357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 68*i**2 + i**3 - 137*i**2 - 4 + 77*i**2 - 2*i in the form l + x*i + g*i**3 + s*i**2 and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -455 and -0.007.\nAnswer: 3.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - 29. Factor 40 + 0*v**f + 4*v - 23 - 19 - 2*v**2.\nAnswer: -2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-130)\/(-40) + 60\/(-48). Solve s = -k*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-15))\/((-30)\/(-180)) - -72?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10241 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1079\/4 - -270. Let b(a) be the first derivative of -h*a**2 + 0*a + 5 + 1\/12*a**3. Factor b(g).\nAnswer: g*(g - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40.5 + -41. Which is the second biggest value? (a) 2 (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (117\/(-117))\/(-3 - 40\/45*(-94)\/28).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of 5183*f**5\/60 - 2117*f**4\/24 + 4535*f**2. What is the second derivative of i(o) wrt o?\nAnswer: 10366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) -146 (c) -2 (d) 1\/2 (e) -0.5 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 e when two letters picked without replacement from peqppeepqppqqpqe?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14691\/14 - -1057. Find the common denominator of s and -93\/1262.\nAnswer: 8834","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 197 - 210. Put y, 0.3, 5 in increasing order.\nAnswer: y, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2376 and 1948248?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-21)*n*n**(2\/3))\/(n\/(n**(-6\/5)\/n*n)*n*n**(2\/17)*n) assuming n is positive.\nAnswer: n**(-5776\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**2 - 7*s - 10. Let j(q) = 7*q**2 - 13*q - 19. Let l(a) = 5*c(a) - 3*j(a). Give l(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16698991 is divided by 122.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*s - 4*g + 25, 3*g + 11 = 2*s. Let x(p) = 3*p + 9. List the prime factors of x(s).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -93 + 63. Let z = g - -31. Let f = 2 - 3. Which is the closest to 2\/7? (a) 1\/5 (b) f (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11362.9 to the nearest one hundred.\nAnswer: -11400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4 = 4*q - 0*q, -3*s + 3*q = 15. What is the units digit of (5\/s)\/(-5)*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 2*b + 12. Let v be (-12969)\/(-121) - b\/22. Let u = 121 - v. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -171, -183, -209, -255, -327, -431?\nAnswer: -573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*h = 1 + 15, 15 = 5*d - 5*h. Let i = 3 + d. What is the units digit of i - (0 - 1) - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-45)*-9)\/1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 261, 267, 271, 273, 273?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + m. Let x(k) = -3*k**2 + k + 1. Give -2*v(c) - x(c).\nAnswer: c**2 - 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a year?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 539236063.\nAnswer: 29, 18594347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -86*s**3 + 69*s**2 + 6*s. Let p(t) = -174*t**3 + 139*t**2 + 13*t. Let q(h) = -13*n(h) + 6*p(h). Find the third derivative of q(a) wrt a.\nAnswer: 444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 x, and 1 q when three letters picked without replacement from qyyrxyrxlqyryly?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hk when two letters picked without replacement from {s: 1, h: 4, g: 6, k: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3321, 25066, 83649, 197490, 385009, 664626?\nAnswer: 1054761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/(-4) + 335599397\/406 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -31. Let t be 5 - (1\/(-3) + (-18)\/r). Let z(h) = -t*h - 28 - 33 + 60. What is z(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -1. Let g(f) = 5*f + 11. Let h(l) = g(l) + 4*r(l). Is h(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r - 3. Let q be m(-5). Let k be 62\/q - 2\/12. Solve -k*j + 20 = -0*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q**3 - 14*q**2 - 10*q + 24. Give d(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 17*k**2 + 88*k + 346. Let l be w(-4). Suppose 156 = 4*u - 0*u - 4*j, -2*u + j + 77 = 0. What is the greatest common divisor of u and l?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c**3 + 2*c**2 + 2*c. Let a be u(-1). Let t be 6\/a*(-4 - 40\/(-15)). Sort 18, 4, t, 1 in increasing order.\nAnswer: 1, t, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-4 + (1*sqrt(1584) - sqrt(1584)))*-4 - (sqrt(99) - 4*(sqrt(99) + 1*sqrt(99) + sqrt(99)))\/(sqrt(216)\/sqrt(6))*1)**2.\nAnswer: 187*sqrt(11) + 2487\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 3. What is the tens digit of x(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 358 + 25 = 5*y + 4*s, 0 = 4*y - s - 319. What is the second derivative of 18*t - 88*t + y*t**2 - 72*t**2 wrt t?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102000 is divided by 421.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.081 in -1\/3, 4, 1, -40\/17, -6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -29 in descending order.\nAnswer: 2, 1, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -14*w - 13. Let a(u) = 22*u + 19. Let k(s) = 5*a(s) + 8*v(s). Determine k(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 2\/3, 13\/20, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65.5 + -91.5. What is the third smallest value in h, 3\/2, -2\/9?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 97*x**2 - 5*x - 5. Let k(f) = -49*f**2 + 2*f + 2. Give 5*k(a) + 2*q(a).\nAnswer: -51*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 355505220 and 6048?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.14704 + 0.05296. Let w = -27\/4 - -131\/20. Sort 0.25, d, w, -0.4.\nAnswer: -0.4, w, d, 0.25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.9*1624\nAnswer: 9581.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 104*h. Let p(g) = -51*g. Give w(p(s)).\nAnswer: -2601*s**2 + 5304*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1483 + 364112536?\nAnswer: 364114019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 17, 86, 223, 452, 797, 1282?\nAnswer: 1931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 360299 and 85110.\nAnswer: 10808970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1583*t - 72 = -1595*t. Solve t = -4*g + 7*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q. Let s be f(-4). Let y = -6 + s. What is the third smallest value in y, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -0.4 (b) 0.53 (c) -5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145030009?\nAnswer: 17, 67, 127331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t - 12*t + 21 = -219 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(5 + -9 - -5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18157568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 14) to base 9.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**4\/8 + t**3 - t**2 + 3. Let b(x) be the second derivative of f(x). Calculate b(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6*z + 10 + 19*z - 2*z**3 - 13*z**2 - 2*z**3 + 3*z**3 + 2*z**3. Calculate h(12).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 48 + -40 - (0 - 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 10*s**2 + 9*s + 2. Let r be k(9). Let q(f) = 6*f**r - 3*f**2 - 4*f**2. Let d(i) be the second derivative of 5*i**4\/2 + 150*i. What is q(d(n))?\nAnswer: -900*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 372 in 1\/5, 5, -1\/8, -38, -3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20986688971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(330\/80))\/(4\/6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1458 divided by -2\nAnswer: -729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*k + (k + 3*k - 3*k)*(3 + 0 - 1) + k + 0 + 0)*(-k**4 + 9*k**4 - 2*k**4).\nAnswer: 30*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*f - f + 11*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-3 + 4 + sqrt(88)\/sqrt(8) + sqrt(11) + 0 + sqrt(176)*-2*5)**2 + 4).\nAnswer: -47667 + 228*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p. Let i(y) = -14319*y. What is i(l(u))?\nAnswer: -28638*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (271*t + 1677*t + 926*t)*(t + 2*t**3 - 4*t + 0*t**3) to the form h + m*t**3 + f*t + u*t**2 + i*t**4 and give u.\nAnswer: -8622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 474 = -z - 4*z + 4*g, -16 = 4*g. Let i = 361 + z. Suppose -5*x + 798 = i. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3000033021203 - -10?\nAnswer: -3000033021133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*a + 9*a + 2*a**2 + 2*a**3 + (-7 - 11*a + 7)*(3 - 7 + 3*a**2 + 8) + 4*a**3 - a**3 - 2*a**3 in the form w + u*a + l*a**2 + j*a**3 and give u.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-8613)\/(-174) + -47 - 63\/(-14)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*j = -3*v - 26, 0 = -4*v - 2*j - 34. Let g = v - -52. Suppose -3*i + 0*i + g = -z, 4*i = -4*z + 52. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 10*u + 8. Let g be f(-9). Let b be 3 - 0 - 90\/24. Is b bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 143*q + 1. Let w be f(4). Suppose 3*i - 3*j + 88 = 691, -3*i = 3*j - w. Suppose 44*x - 66 = 42*x. Calculate the remainder when i is divided by x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 28*l - 56*l + 27*l)*(11*l + 7*l - 21*l)*(4*l**2 - l + l)*(3 + 0 - 1).\nAnswer: 24*l**4 + 72*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -342, -340, -336, -330, -322, -312?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -p - 4. Suppose -5*o = 5, -p*m - 2*o - 8 = -4*m. Suppose -m = -3*j - 3. Which is bigger: 0.14 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221222221 - 100?\nAnswer: 1221222121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2911483 divided by -26\nAnswer: -2911483\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (-979)\/44 - (-19)\/(-12).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*k = 0, o + 2*o = -k. Suppose 5*m + o*m - 150 = 0. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**5\/4 + d**4 + 2*d**3 - 13*d**2. Factor p(u).\nAnswer: -3*(u - 2)*(5*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 250 or 224?\nAnswer: 250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**4\/6 - 6*l**3 + 18*l**2 - 6*l. Calculate the remainder when 2 is divided by t(17).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, r: 4, d: 6, k: 3}. Give prob of sequence drkr.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 486882858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2872 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d - 8 = -9*d. Let i = 2 + -2. Suppose 2*v - v + 4*q + 9 = i, 6 = 4*v - 5*q. Which is the biggest value? (a) d (b) v (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1603 (base 11) in base 15?\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1495.\nAnswer: 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -121647000 to the nearest 100000.\nAnswer: -121600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 25118.\nAnswer: 175826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*c - 276850 = 61050. What are the prime factors of c?\nAnswer: 2, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 (base 16) in base 15?\nAnswer: 4e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cczzzcczzczcccccccz. What is prob of sequence czzc?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*y + 99 = -0*g, 75 = 5*g - 5*y. Let z = g - 12. Let p be ((-3)\/4)\/3*z. Is p bigger than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398879?\nAnswer: 13, 61, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 17*j - 36. Suppose -114 = 9*x + 21. Calculate p(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201530 (base 6) to base 16.\nAnswer: 3e5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 + 1.1. Let j = -408\/7 + 58. Which is the third smallest value? (a) l (b) 3 (c) j (d) 1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5620 in -0.2, 3.6, -4, 44\/7?\nAnswer: 44\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 2*y + 8. Calculate d(6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76847 is divided by 106.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1361994255 + -63.\nAnswer: -1361994318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3194a0 (base 15) to base 11\nAnswer: 1372264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4520.437 centuries?\nAnswer: 452043.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ml when two letters picked without replacement from {l: 2, a: 3, w: 1, z: 7, m: 4}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 3*b + 4. Let d be j(-4). Let n be ((-36)\/(-45))\/(2\/5). Suppose 0*x - 5*x = 4*l + d, 0 = 2*x + n*l + 2. Which is bigger: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46159 - 45191 = -79*n - 124*n. What is the highest common divisor of n and 1305?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2704 bigger than 2706?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 186 * 4457653.\nAnswer: 829123458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 261*i. Let z(n) = 2*n. What is l(z(x))?\nAnswer: 522*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*v = -2*v, 2*y = -5*v + 19. Suppose 3*h = -y*h + 20. Suppose 3*w + 2*i + h = 5*w, 8 = -2*i. Which is greater: -3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(500) + -1 - (6*(1 + sqrt(5)) - sqrt(5)))*5 - (-2 + (sqrt(375)*-1)\/sqrt(3))).\nAnswer: -99 + 90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-3*sqrt(204)\/sqrt(4)*3)\/((-1*(sqrt(270) - 2*sqrt(270) - sqrt(270)))\/sqrt(10)).\nAnswer: -9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2142 - 2142 + 294*i**2.\nAnswer: 294*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21048 in 0, -4\/7, 2, 2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6853?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19635 to the power of 1\/2, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -132*r**3 + r**2 + 2*r - 2. Let l be j(-2). Is l*((14 - 4) + -9) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96382 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72*u**6*x + 2*u**4*x + 7*u**2*x + 2*u*x wrt u.\nAnswer: -8640*u**3*x + 48*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, z: 3, v: 2, u: 5}. Give prob of sequence vzvz.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5*20\/25*18 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 177*v*w**3 + 25*v wrt w.\nAnswer: 531*v*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-32)*4 + 46\/8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 10*x - 18. Let m be u(2). Suppose 0 = m*f + 5*f - 36827. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11163465 (base 7) to base 2\nAnswer: 11101101101101101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from ttttnnytnnyntnn.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7063*0.3\nAnswer: -2118.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4290\/234*9\/15 - 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 11 = 29. Solve -5*d = -3*d + f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2746 (base 9) to base 10.\nAnswer: 2067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16.9, -15, -4\/9, -5 in increasing order.\nAnswer: -16.9, -15, -5, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**2 + 28*y + 2750. Give v(-26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1, -9, 405?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198 divided by 6.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - g = 12. Let s = 5 + -9. Let f = s + 0. Put f, g, 2 in decreasing order.\nAnswer: g, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -918 = -3*h - 315. Suppose 3*y - 6*y = -h. Suppose 74 = 5*u - p - 16, 5*p = -2*u + 9. Calculate the remainder when y is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - -14. Suppose -2*h - 112 = -s. What is the tens digit of (h\/(-5))\/((-24)\/(-80))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/((-4)\/6))\/((825\/(-22))\/25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/15)\/(12\/(-30)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - 254 + 53)*(-2*x + 4*x - 6*x)*(-4*x**3 + 3*x**3 - x**3).\nAnswer: -1840*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (20 - 5) + (-4)\/2 + 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13615200?\nAnswer: 2, 3, 5, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(9\/2) - 20\/3. What is the common denominator of (0 - (-9)\/(-24))\/((-5)\/d) and 1\/2 - (-147)\/27?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5856 by -1464.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdueczeu. What is prob of picking 1 c and 1 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 8*w + 2. Suppose -5*u = n + 24, -n + 13 = -2*u + 2. Give v(u).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**5)\/a**(3\/4)*a**(-1\/6)*a**(-2\/11))**(-23) assuming a is positive.\nAnswer: a**(-14881\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence atf when three letters picked without replacement from {f: 1, y: 1, h: 1, a: 1, t: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 1. Suppose 0 = i*r - r. What is the third derivative of -6*s**3 + 0 - s**2 + 5*s**3 + r wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22483 - -34118. What are the prime factors of m?\nAnswer: 5, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28391 + 3*u + u + 68324.\nAnswer: 4*u + 39933","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 24 = 2*h, 55 - 59 = -s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.103090138 to five dps.\nAnswer: 0.10309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6400, -12833, -19292, -25777, -32288, -38825, -45388?\nAnswer: -51977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -18839317?\nAnswer: 18839313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -498 + 4?\nAnswer: -494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooo. What is prob of picking 2 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680 is divided by 26.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**4\/2 + 14*r**3\/3 - 4*r**2 - 3*r + 38. Is n(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, w: 3, c: 2, j: 3, p: 3, e: 3}. What is prob of picking 1 c, 1 j, and 1 w?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5539753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r. Let k = -147 + 149. Let q(t) = 5*t**k + 3*t**2 + 3*t**2 - t**2. Give q(w(p)).\nAnswer: 160*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-393*w**3 + 879*w**3 - 88*w**3)*(-2*w + 4*w - 5*w + 1 - 1 - 2*w + (0*w + 3*w - w)*(-1 + 3 + 0)).\nAnswer: -398*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -1. Let c(y) = -9*y - 17. Let z(l) = c(l) - 6*x(l). What is the first derivative of z(i) wrt i?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3297\/4*z + 273*z**2 - 3\/4*z**3 + 1101\/2 = 0?\nAnswer: -2, -1, 367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/219 - 209\/1095. Let v = 0.22 + -12.22. Let q = 11.7 + v. Which is the third smallest value? (a) q (b) z (c) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 10 = m, -2*m - 3*r = 3*m - 16 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 1:49 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -l**4\/42 + 208*l**3\/7 - 97344*l**2\/7 + 599*l. Find d, given that g(d) = 0.\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -560 - 558 + 3*o + 1122. Determine p(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a century in months?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 greater than or equal to 184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -68, 151, 1, -2\/25 in increasing order.\nAnswer: -68, -5, -2\/25, 1, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 1:08 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164415997.\nAnswer: 164415997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-36)*40*6\/5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q + 61*q**4 - 3*q - 33*q**4 + 54*q**4 - q - 1 as r*q**4 + y*q**3 + n*q**2 + h + f*q and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 2\/57, -2\/7, 59?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a century in months?\nAnswer: 17700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (24 - 29) - -13\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.2 or -8.3?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/1)\/(8\/(-280)). Let l be 16\/14 + 320\/k + 9. Which is smaller: 9\/8 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -46 - 10. Let l be o\/(-15) - (-2)\/1. Let m = -100\/9 + 88\/9. What is the third biggest value in m, -5, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 19 = -2*j + 4, -2*p = 4*j - 18. Let u(v) = -19*v + 17*v - p*v. Let m(g) = -g**2. What is m(u(l))?\nAnswer: -81*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*v - 29*v + 5*v - 34)*(4*v - 3*v - 3*v - 1).\nAnswer: -4*v**2 + 66*v + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5 = -2*r, 3*r - 8*r + 2*m = -12. Suppose w - 6*t + 11*t + 940010 = 0, 0 = 5*w + r*t + 4700004. What is w rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 7*w**3 - 48*w**2 - 43*w + 233. What is m(7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 7:58 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6)*27 - (-21 - 0)*44\/99\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -2\/7, 2\/13, 1174, 0.16 in ascending order.\nAnswer: -3\/4, -2\/7, 2\/13, 0.16, 1174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.18655 - -0.33345. Let v = -3.97 + -0.03. What is the fourth smallest value in d, -3, -5, v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13416 divided by 13416.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1299 - 0.9?\nAnswer: -0.7701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -10*f**5 + 125*f**4 - 160*f**3 - 70*f**2 + 170*f - 55 = 0.\nAnswer: -1, 1\/2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.449 - -266.551. Let u = -87 + z. Let c = u - 179.99851. What is c rounded to four decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3}. What is prob of picking 3 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 36.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -7*k**4\/3 - k**3\/6 - 141*k - 2. What is w(-1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 + 99*y**2 + 765*y - 867.\nAnswer: 3*(y - 1)*(y + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 291*j*s - 84*j + 92855*s wrt j.\nAnswer: 291*s - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 965.9884m in centimeters?\nAnswer: 96598.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -j + 7, -38*j + 4*h - 20 = -34*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 8*x = 4*k - 8, -4 = -3*x - 2*k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 111 and 33.\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1756308458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 534 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -24721, -98922, -222591, -395728, -618333, -890406?\n\"Answer: -24734*d**2 + d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7666, -7667, -7668?\nAnswer: -7669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -8*v - 3*l - 33, -2*v + 5*l - 7 = 0. Let u be 1*12*(-3)\/v. Suppose -6 = -4*q + u. Solve -3*t + r + 8 = -5, 0 = -2*t - 5*r + q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - d + 3*d**2)*((0 + 0 - 2)*(-2*d**2 + 1 - 1) + 2 - d**2 - 2 - 2*d**2 + 5*d**2 - 11*d**2 + 20*d**2 - 9404*d + 9404*d + 0*d**2 + d**2 + 2*d**2).\nAnswer: 54*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(19) + 1 + 1 - (sqrt(475) + -2 - sqrt(209)\/(sqrt(11)*-2)))**2.\nAnswer: -72*sqrt(19) + 1795\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(336)*-3 + sqrt(336))\/sqrt(8))\/(-2*sqrt(486)*-4 + sqrt(486)).\nAnswer: 16*sqrt(7)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27720 and 97965.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 83*h - 2242*h**2 - 85 - 1849*h**2 + 17 - 81*h + 329*h**2 wrt h.\nAnswer: -7524*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 3*s + 6059 - 6063, h + 5*s + 21 = -7 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2887237249825 - -1.4?\nAnswer: -2887237249823.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1529918 divided by 40261?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1404)\/42*(14 + -2 + (-3569)\/249)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 7*h. Let w(r) = -60*r - 49*r + 377*r**2 + 52*r + 57*r + 2. What is z(w(f))?\nAnswer: 2639*f**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 278, 279, 280?\n\"Answer: j + 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**3 - 1227*i**2 + 16796*i - 25. Calculate w(14).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48*r**5*z**2 + 25*r**2*z**2 + 3*r*z**2 - 2*z**2 wrt r?\nAnswer: 2880*r**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -6. Let x be 35 + (-1 - (4 - 8)). Let b = x - 31. Solve k*l - b*l = -3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 417 (b) -1\/4 (c) -2\/3 (d) 0 (e) 519\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/(-2))\/(-3*19\/147858) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 3:53 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sr when two letters picked without replacement from {u: 1, s: 1, r: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - m = 0. Let d be -1 + (13 - 4\/(4 + m)). Let i(s) = s + 4. Is 3 a factor of i(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 5 (b) -12099\/11 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1281 is divided by 445.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 k when two letters picked without replacement from {w: 7, m: 1, k: 1, a: 5, u: 1, e: 2}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1144*j - 2402*j = -12*j + 116622 for j.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -3. Suppose 0 = -5*c - 2*f + 19, -56*c + 8 = -52*c - 2*f. Solve 7*o + c = x*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5745.\nAnswer: 3, 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*l - 4. Suppose -l*m = -307 - 73. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -436.07 + 436. What is the nearest to 2\/5 in -4, 8, c, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78639.01 minutes in nanoseconds?\nAnswer: 4718340600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -0.8?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxxdxndrxnxnnxxrx. What is prob of sequence xr?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**5\/7 + 64*l**4\/7 + 942*l**3\/7 - 64*l**2\/7 - 943*l\/7 = 0.\nAnswer: -41, -23, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 829371844?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -77 - -84. Let a be 3\/15 + (-1536)\/(-20). Suppose -75*h - 20 = -a*h. Calculate the remainder when h is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 849 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -15*c - 257. What is q(-8)?\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1554057558 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, i: 6, r: 5, q: 3, k: 1, g: 4}. Give prob of sequence rqkg.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31102 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 8:04 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/16)\/(1\/32). Let b = 16 + p. Let q be (-25*1)\/((-1)\/1). Solve 5*m + q = 0, b*m + 4 = -4*k - 4*m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 394 + -391. Suppose -7*o = -d*o + 20, 4*l - 2*o = 1250. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q. Let x(g) = -13*g. Suppose 8*i - 3*i = 10. Let f(b) = -b**2 + 42*b - 102. Let a be f(40). Determine a*w(p) + i*x(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*h - 3. Suppose 246 = -4*z + h*p + 38, 4*z + 232 = -2*p. Let m = -14 + z. Round m to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3220303 - 0?\nAnswer: -3220303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 + 21 + 21*s**2 + 24 + 38.\nAnswer: 21*s**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 9060?\nAnswer: 27180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2387945710.9 - -2387945809.89999917. Let h = 99 - b. What is h rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -713634 times -0.04\nAnswer: 28545.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 215040?\nAnswer: 215040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 3*i - 663, 663 = -0*i + 3*i - 5*j. Suppose i = 5*u - 229. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26 and -348.\nAnswer: -9048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*b**2 - 62*b**2 + 114*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-206 - -201) + (-77 - (-13 + -5 + 10)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 757150156 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1507, 1542, 1579, 1618?\n\"Answer: t**2 + 32*t + 1474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -36, -42, -48, -54, -60?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 - ((6 - -4) + -10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by -66005?\nAnswer: -36\/66005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) -2\/3 (c) 4.51 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4*u + 40, 4*u - 5*c - 6 = -2. Suppose -3*y = -u*y. Which is greater: -3\/7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 3:37 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/b**(3\/4))\/b)\/b*b\/b**3)\/((b**(-4)\/b)\/(b*b*b*b**(4\/5))))\/((b*b**3)\/(b*b\/b**0)*((b\/b**(-2\/3))\/b)**(6\/17)) assuming b is positive.\nAnswer: b**(957\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 5, 0*g - g = k - 12. Suppose -12 = -o - k. Suppose -2*l + 5*r - 18 = -4*l, -3*l - o*r = -37. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 3*x = 3*a - 6, 0 = -4*x - a - 3. Suppose -5*d = -4*u + u - 17, d - u - 3 = 0. Let s = -16 + 12. Put s, x, d in ascending order.\nAnswer: s, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 155172451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2373691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*i**5 - 3*i + 41*i**5 - 16*i**5 wrt i.\nAnswer: 660*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1224334 and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 45*g + 5. Let x(w) = -2*w**2 - 83*w. What is s(x(t))?\nAnswer: -90*t**2 - 3735*t + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*m**4 - 2*m**3 + 3*m**2 + 4 - m**4 - 2*m**2 - 4*m**4 in the form z*m**2 + u + j*m**4 + o*m**3 + h*m and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (40\/(-700))\/((-34)\/(-10)). Let f = 127\/476 + g. Find k, given that f*k**2 + k + 3\/4 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) -3 (b) -2 (c) 68 (d) -0.15209\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 278 (b) -1\/2 (c) 4 (d) -16 (e) 2\/19 (f) -2\/3 (g) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 318, -17 in ascending order.\nAnswer: -17, 1, 5, 318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 40 = o. Solve 14 = o*p + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63 + 122. Suppose -18 = 56*b - a*b. Suppose -9 - 3 = -2*j. Is j bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 + -17)*(-4)\/(-56)*2.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -710220 divided by 3\nAnswer: -236740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z - 3. Let r = -1 - 2. Let y be -1 - (r - -2)*3. Let t = 1 + y. Determine m(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 6*k + 6. What are the prime factors of y(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 661823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 7:42 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 969.\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 7*z. Let a be m(8). Let t = -7 - a. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08 and -462661?\nAnswer: -37012.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 1. Let c(t) = 2*t - 1. Let z(j) = c(j) - 4*w(j). Let n(g) = -3*g - 3. Let x be n(-3). What is the tens digit of z(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 108801, 108803, 108805?\n\"Answer: 2*i + 108799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -569*u**4\/12 + u**3\/6 - 1797*u**2\/2 - 5*u + 20. Differentiate x(q) with respect to q.\nAnswer: -1138*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1040 - 21*w - 1040)*(-11 - 2 - 22 - 29)*(5 + 1 - 4)*(-9*w**4 + 6*w**4 - 5*w**4).\nAnswer: -21504*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 290ab3 (base 12) to base 8\nAnswer: 2473447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/7 + 279*(-11)\/(-1386). Factor 1\/4 + 5\/4*k + g*k**2 + 1\/4*k**5 + 5\/4*k**4 + 5\/2*k**3.\nAnswer: (k + 1)**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 68 - i - 33 - 3*i - 19. Let a be x(3). Solve 16 = -2*k - 4*l, -3*l = -k - 4*l - a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 484 + -259. Let y = b - 10. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000063 to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*r - 17*r + 60 = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -7 - -7 - -69 - (7 + (10 - 19)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*5*12\/30\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19269, -42, -31.\nAnswer: -42, -31, 19269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -20*b + 5. Let l(k) = 7*k - 2. Calculate -11*l(v) - 4*x(v).\nAnswer: 3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7*q - 2. Let x be g(-1). Put x, -3, -1 in decreasing order.\nAnswer: x, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**5\/9 + 380*w**4\/3 - 8306*w**3\/3 - 1329860*w**2\/9 + 10683400*w\/3 + 3706000 = 0. Calculate w.\nAnswer: -34, -1, 30, 545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 18 + 7 + 6*f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + q + 187, -25*s - 4*q = -23*s + 118. Put 4, -3, -4, s in decreasing order.\nAnswer: 4, -3, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (0 + -1)\/(1\/1). Which is the second smallest value? (a) 5 (b) 0.7 (c) w (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r. Let m(l) = -4*l. Give -6*m(o) - 26*v(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -36123264 and 1.\nAnswer: -36123263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 87*v**2 - 10*v - 22. What is the units digit of r(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-391)\/115)\/(3\/15)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*z - 35. Solve -z*j + 35 = 5*q, 27 = 5*j + 5*q - 2*q for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.5 (b) -13 (c) 7580\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 10 - 2 + 3 - 5*p - 4*p. Let j be h(8). Suppose -j*q - 35 = -182. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 22086*m**2 + 16.\nAnswer: -22086*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p - 5*p + 6*p)*(p - 2 + 2).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + -37. Let f be (-894)\/8*240\/k. Find the third derivative of 628*j**6 - f*j**6 - j**2 + 20*j**2 wrt j.\nAnswer: 3840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15169020 and 12.\nAnswer: 15169020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1137 - 1143. Let b = -0.35 - 0.05. What is the closest to -0.1 in n, -2\/7, b?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1)*l*l)**(-26)\/(l**(1\/15)\/(l\/(l\/(l**(2\/17)\/l)))) assuming l is positive.\nAnswer: l**(-13502\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y = -35*y - 23*y + 17*y. Let m(c) be the first derivative of 0*c**2 - 26*c + 37 + y*c**3 - 47\/5*c**5 + 0*c**4. Differentiate m(o) wrt o.\nAnswer: -188*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 12) to base 14\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33 - -46)*121\/143.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**3 - 3*a**2 + 4*a. Let j(k) = 11*k**3 - 17*k**2 + 23*k. Let p = -14 - -8. Suppose 2*n = 3*n - 34. Let g(y) = n*o(y) + p*j(y). Factor g(h).\nAnswer: 2*h*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a microsecond in nanoseconds?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (-4*sqrt(70))\/sqrt(10))*2 - ((sqrt(252) - (sqrt(252) + (sqrt(252) - (3 + sqrt(252)) - sqrt(252))) - sqrt(252)) + -1)**2.\nAnswer: -6*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 453252 and 115431?\nAnswer: 1059","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 31. Let u(t) = 8*t**3 + 23*t**2 + 4*t + 10. Let x(r) = -7*r**3 - 20*r**2 - 5*r - 10. Let f(o) = -6*u(o) - 7*x(o). Let k be f(-1). Give g(k).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k. Let s(n) = -3*n - 4. Let q(i) = 1. Let c(y) = 4*q(y) + s(y). What is o(c(z))?\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/2048 and 9\/7610728.\nAnswer: 1948346368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2. Let b be o(-2). Let s = 8 - b. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d2 (base 14) to base 11.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -7*w**2 + 12*w - 9*w**2 - 15*w**3 + 19*w**3 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-7 - -6) - ((1 - 2) + 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 198 = -0*b. Let v = 146 - 295. Let f = 174 + v. Calculate the remainder when b is divided by f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(-3 + 3 + 1)*(-3015165*d**4 + 6076355*d**4 - 2983194*d**4).\nAnswer: -77996*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, z: 4, k: 2, r: 6}. What is prob of picking 2 k and 2 g?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8728687 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3570976 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(2*5\/(-5))*(-644)\/14?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, 3, 76, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 - u. Let g be q(3). Suppose 0 = -3*n + x - 39, 0 = 8*n - 11*n - 5*x - 75. Let w = n + g. Solve -f - f + 6 = w for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -391 divided by -23?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-9))\/((-36)\/((-17496)\/45))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -384*r + 1148. What is o(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12743 divided by 1099\nAnswer: -12743\/1099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t**2 - 39*t - 243 + 151 + 164 - 6*t**2 + 2*t**2. Calculate i(37).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*(-1 - 24\/(-9)). Suppose -w + 10 = 4*v - 1, -2*v + z*w + 11 = 0. Suppose -2*h = 4*o - 24, 1 + 0 = v*h - o. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3201.7 + -3202. Put 4\/3, 2\/3, g in descending order.\nAnswer: 4\/3, 2\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443672651?\nAnswer: 31, 14312021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 1. What is the second biggest value in a, 5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 10.87\nAnswer: 4.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88575212?\nAnswer: 2, 11, 241, 8353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 948 and 19671?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 137 + 221 = 19*v for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12 + 75*t + 45*t**2 + 5*t**3 - 100 - 13.\nAnswer: 5*(t - 1)*(t + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*f + f - 4*f)*(2 + 0 + 0)*(266*f - 327*f - 392*f) as k*f**2 + w + z*f and give k.\nAnswer: -5436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 = -3*r - 46. What are the prime factors of r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 3 = -3*h, -f + 74 = -3*h + 63 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, v: 2, f: 1, e: 4}. What is prob of sequence tvfv?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -2*l**3\/3 - l**2 - l + 21. What is p(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwgw when four letters picked without replacement from mmmwgmmwmmmmg.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o + 6*o - 15 + 15. Let y(a) = 62*a + 12. Let v(c) = 64*c + 10. Let w(m) = 6*v(m) - 5*y(m). Calculate j(w(h)).\nAnswer: 222*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*t = 72*t + 16. What is the second derivative of t*k - 56 - 1003*k**5 - 15*k**2 + 1006*k**5 - 3*k wrt k?\nAnswer: 60*k**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 + 72. Suppose g - d = -3*d + 4, o = 2*g + 5*d. Solve g*r + r = 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 797495 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 1602.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/16 in -0.09, -0.1, 2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1975 - 225 = 210*d - 96*d + 86*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4 + 0 + s + 0. Let z be l(6). Suppose -z*d + 5 + 7 = 0. Which is smaller: d or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**3 - 38*x**2 + 31*x + 30. Let f = 179 - 199. Is 10 a factor of b(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41287 divided by 2?\nAnswer: 41287\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 49090190 and 49090212 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q**(-4\/7))))\/(q*q**(7\/6)*q)*(q\/(q\/((q**(-3\/10)*q)\/q))*q*q)**(-5\/3) assuming q is positive.\nAnswer: q**(-39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 4*z - 1. Let t be s(5). Solve 4*v = -16 - t for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 3 = 8*o. Let j be 18\/o*(-4)\/84. Let w = -10 - -7. Which is bigger: w or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/3)*w*w\/(w\/w**(-3)))\/(w**(-2\/3)\/w)**(-20))**(1\/18) assuming w is positive.\nAnswer: w**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2348719 + -2348843.00122. Let b = -0.58 + 124.58. Let s = a + b. What is s rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, -3, -281, 1.85?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(72) + sqrt(8))*-6 + 3*sqrt(684) + -1.\nAnswer: -1 + 33*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 23 - -2*(-1 - 2). Solve -2*c - q = -4*g + 7, -4*g = 2*c - 16 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1272254*v**2 - 2471782*v wrt v.\nAnswer: 2544508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97627736 is divided by 80?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -33. What is the biggest value in -0.1, 4, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*x**2 + 29*x**2 - 58*x**2)*(1 - 2 + 0)*(-6 + 9 + 4).\nAnswer: -140*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 4*i**3\/3 - i**2\/2 - 12*i. Suppose 1 = w - 4, 4*m = 3*w - 23. Let z(q) = q - 3*q + 3*q. What is m*d(l) + 18*z(l)?\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 + 42.98. Let q = p - 41. Let a = 2426\/325 + -96\/13. What is the biggest value in 3, a, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -446*u - 57094. Calculate y(-128).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p**2 + 35*p - 27. Let z be c(6). Is 63 a factor of (-5)\/(-60) + z*(-36282)\/(-216)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v + 3. Let g(m) = m + 4. Let s(d) = 5*c(d) - 6*g(d). Determine s(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 275.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 5:42 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -0.4, 2804, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177352 is divided by 44.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -12. Suppose -3*o - 6*y - 12 = -b*y, 5*y + 20 = o. Suppose 2*h - 6 - 4 = o. Sort h, -5, 2 in increasing order.\nAnswer: -5, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/6916 and 9\/41860.\nAnswer: 795340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -26. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 9) in base 11?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 804574, 804561, 804504, 804379, 804162?\nAnswer: 803829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -46. Suppose m - q = -3*m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214670 divided by -5?\nAnswer: 42934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/(f*f**(4\/5)))\/f*f**1)\/(f**(-1))**(-27)*(f**(-1\/2)*f)**(-26)\/((f\/(f*f*f\/(f**(-4)*f)*f))\/f**(1\/4)) assuming f is positive.\nAnswer: f**(-671\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - v**2 - 2. Let r be m(-2). Solve 0*i - r*i - 8 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 83843, 83833, 83811, 83771, 83707?\n\"Answer: -s**3 - 3*s + 83847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**3 + 3. Let t(q) = -8*q**3 - 13. Suppose -i = 3*i - 8. Let x(w) = i*t(w) + 9*a(w). Differentiate x(j) with respect to j.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (151\/(-35) - (-69)\/115)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 340002 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -814, -1632, -2450, -3268?\nAnswer: -4086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 3*n + 11 + 5, 0 = 2*n - 5*p + 28 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*w + 1. Let s = 0.1341 + -5.1341. Which is the closest to 0.1? (a) s (b) -3\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 259058843 to the nearest integer?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 + -34. Let b = 20 - p. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2. Let a(w) be the second derivative of -w**4\/12 - 3*w**2 - 87*w. Give a(l(t)).\nAnswer: -t**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -146, 4 in increasing order.\nAnswer: -146, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**5\/60 - 13*b**4\/24 + 2*b**3 - 15*b**2. Let z be k(12). Solve n + n - 3*q + 3 = 0, z = -5*n - q + 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*h = 3*q - 15, -h - 3 = 0. What is r in 3\/2*r**3 + q*r + 0 + 3\/2*r**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -3 (b) -21\/4 (c) -0.5 (d) 1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274 = 4*w - 5*m, -3*w + 3*m + 89 = -115. Let g = w - 332\/5. Which is greater: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/8 - 481*v**2\/8 + 2917*v\/8 - 2435\/8.\nAnswer: -(v - 5)*(v - 1)*(v + 487)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39696 and 1152?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -251*u - 7277. Let j be c(-29). Let y(o) be the first derivative of -39*o - 27 + 0*o**j + 28\/3*o**3. What is the first derivative of y(a) wrt a?\nAnswer: 56*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44 by 3.\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 124 + 28 = 0. Calculate the least common multiple of 720\/50*(-20)\/(-6) and f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -778*t + 19126 = -1880 for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -10\/17*p**2 + 48\/17*p + 10\/17 = 0?\nAnswer: -1\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/1443013 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j*m**2*t**3 + j*m**2*t + 33565*j*m*t - 46804*j*t**3 + 2*m + t**3 wrt t?\nAnswer: -6*j*m**2*t - 280824*j*t + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1174223 rounded to the nearest ten thousand?\nAnswer: -1170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*y + 3*c + 9 = -73*y - c, 4 = -c for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rww when three letters picked without replacement from {w: 3, r: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4c4e4d (base 15) to base 12.\nAnswer: 1287077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/410524 and 31\/16.\nAnswer: 1642096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3791146466963 minus -1?\nAnswer: -3791146466962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 223, -1, 2, 4, -3 in descending order.\nAnswer: 223, 4, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 39 + (-28 - -7 - 8) + (2 - (66 - -3))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -19, 1\/5, 0.5?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 32488 and 2146821540.\nAnswer: 2146854028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**2 + m - 1. Let b be y(1). Let r(q) = 9*q + 3. Let w(a) = -8*a - 4. Let i(l) = b*r(l) - 2*w(l). What are the prime factors of i(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, c: 17}. Give prob of picking 1 w and 2 c.\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 5. Suppose i - c = -3*i. Let f(w) = 4*w**i - 2*w**2 - 3*w**2. Let j(s) = s**2. Give f(j(x)).\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 144549830 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105038 is divided by 404?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 9 = 1168*r - 1180*r, 3*d - 54 = -r - 43 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 598 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/5349872 and 59\/18055818.\nAnswer: 144446544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 4\/3 (c) -2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 4:11 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 71*y**2 - 317*y - 842. Calculate r(66).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 28, 5 in descending order.\nAnswer: 28, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 674037?\nAnswer: 3, 7, 13, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10622 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56 by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 4*h - 4. Let o be w(4). Suppose 366*l - 44 = 355*l. Sort o, -2, l, 5 in decreasing order.\nAnswer: 5, l, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 43*v**2 + 344*v. Determine r(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*z - 20. What are the prime factors of (-10)\/(-25) - (-36)\/z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -310.7 - -1549.\nAnswer: 1238.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 865 divided by 5\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-28))\/((-12)\/(-80)). Let p = a + -19\/28. Which is greater: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -19*c**3\/3 + 5*c**2\/2 + 15*c - 14. Let m(n) = 6*n**2 - 2*n - 5. Let q(f) = -3*b(f) - 8*m(f). Is q(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-46)\/12 - -4)*6. Let d be 4\/(v + 5\/(-3)). Let f(p) = 2*p**2 + 10*p + 6. What is the tens digit of f(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 5. Find x such that -x**g + 4*x**2 + 2*x - 5*x**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312245507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34549070 and 52930?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - 1 - (-26 - (79 - 70))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3450 and 750?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((2 - (-2 + 5)) + 3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*i + 4*r, 0 = 5*i - 3*r + 13 - 5. Is 10\/113 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001111011 (base 2) to base 12.\nAnswer: 7b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201701091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (1 - (5 + 2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46*x + 376 - 133 + 355 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 9\/23 (b) -3 (c) 0.1 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.3 (b) 356 (c) 1\/3 (d) 2 (e) 2\/1931\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1068 + -16.4.\nAnswer: 1051.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -13073.369 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -13*c + 10. Let t = -14 + 21. Let b(q) = -4*q + 3. Let y(u) = -u**3 + u**2 - 6*u + 4. Let z be y(0). Suppose -21*p + 19*p = z. Give p*f(v) + t*b(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m + 1774*m**3 + 21*m - 1790*m**3.\nAnswer: -16*m**3 + 25*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.1 - 60.9. Let g = t + 67.8. What is g rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r + 5 - 17 - 22 to i*r + k and give k.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k + 39*k**2 - 3*k - 63*k**2 + 8 + 39*k**2 in the form f + z*k + a*k**2 and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 3, -55, -2 in descending order.\nAnswer: 5, 3, -2, -5, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j*k**2 + 85117*j*k + 4931*j + 2043283*k**2 + 185*k wrt j.\nAnswer: k**2 + 85117*k + 4931","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c - 15. Let r = -15 + -1. Let n be s(r). What is the greatest common divisor of n and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + (-21 - -27) + -30.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 36*v**2 + 75*v - 235. Let r be g(34). Solve 14*u - 68 = -r*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12174.7 to the nearest 100.\nAnswer: 12200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**3*s)\/(s*s**(1\/6)))\/(s*s\/((s\/s**(-10))\/s*s*s)*s**(2\/15)\/s) assuming s is positive.\nAnswer: s**(137\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 515.1094 tonnes?\nAnswer: 515109400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-3)\/3*1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 7, 8, 9, 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*x + 102865 = -43*x. Suppose -4*d + x = -0*d + 3*k, d = 5*k + 5172. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 3751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**4 + 8007*q**3 - 19197*q**2 + 14393*q - 3198 = 0. Calculate q.\nAnswer: 2\/5, 1, 1599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.99929 - -14.\nAnswer: 20.99929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 865392 and 1056?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.836 + 0.064. Which is the third biggest value? (a) 1 (b) -1\/5 (c) -2\/7 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -574, -664, -766, -886, -1030?\n\"Answer: -v**3 - 83*v - 490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1412913926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -6*b - 4 + 2*b**2 - b - 7 + 2*b**3. Is o(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 5:39 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p + 15*p**2 + 10*p**2 - 32 + 59 - 27 to the form z*p + d + o*p**2 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g - g + 156*g**2 - 2*g.\nAnswer: 156*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 109039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3463104.144 - 265?\nAnswer: -3463369.144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -4) + 20 + -26.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 2\/3, -5, -0.114, -1203?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 24. Let y = -1.8 + w. Let v = 10.7 - 11. What is the third biggest value in 4, v, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10629435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21500281*o**3 - 8778696*o?\nAnswer: -129001686*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 235909 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q + 16 - 24 + 14 - 8*q to the form u*q + f and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.52 take away 734.42?\nAnswer: -734.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h**3 + 0*h**3 + 44*h - 44*h.\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*(-24)\/(-15) + -1*4. Suppose -5*j - 4*d = 25, -k = -j + 3*d + 10. Which is the nearest to -1\/4? (a) -5 (b) 0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6982 + 0.1982. Suppose -5*y = -3*y - 18. Let b = -5 - -5. What is the nearest to 1 in b, s, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5400 to the nearest one hundred.\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000049904145 rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*r - 3*r - 520. Let q = -51 + r. Calculate the remainder when 133 is divided by 184\/20*q*5.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -o**2\/2 + 6*o - 3. What is the units digit of n(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33166 and 966?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 2)*((2*t**2 - 4*t**2 - 2*t + t)*(20306 - 26*t - 20306) + 3*t**3 + 2*t**3 - 6*t**3).\nAnswer: -153*t**3 - 78*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 67.73628 decades?\nAnswer: 0.6773628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -11121021020212112?\nAnswer: 11121021020212111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -3670607\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 413664104 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/198 + 2 + 10\/(-4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 4631115.\nAnswer: 7\/4631115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/142992 and -83\/5505192.\nAnswer: 11010384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1237*v + 871 = -1304*v for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -6, 0, -3, -44 in decreasing order.\nAnswer: 5, 3, 0, -3, -6, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(-5)))\/c**(-15) assuming c is positive.\nAnswer: c**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 5*d + 7, 5*d = 3*n - 8*n - 15 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 0*v**5 + 2 + 63*v + 3\/10*v**6 - 43\/2*v**2 + 0*v**4 - 1\/2*v**3. Differentiate j(f) wrt f.\nAnswer: 36*f**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 726611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 10:38 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -121*v + 1958. Is 3 a factor of a(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 456267 = -277285. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 = -4*l + c, 4*l - l - 4*c = 129. Let j be 6\/l - (-81748)\/(-26). List the prime factors of 1\/5 - 1 - j\/30.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 11*y + 72 = 0. Let l be (y - 11) + (-4)\/(-2). Suppose -2*r = -l*r + 2, 0 = 2*o - 2*r - 120. What is the remainder when o is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*k + 15. Let d(q) = -14*q - 78. Let l be d(-6). Find m such that 51*m - 15*m**5 - 6*m**2 + k*m**3 - 28*m + l*m**4 - 23*m = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 0 + 0 - 4*b. Let m(y) = -8*y. Let q(r) = -r. Let j(i) = -2*m(i) + 18*q(i). Give j(w(l)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.01 + -2.99. Let l = 0.33 + -0.03. Suppose 0 = 4*m - 11*m + 11*m. Which is the closest to m? (a) -1 (b) l (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 31*c**2 - 59*c + 688. Determine x(30).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away 7.28?\nAnswer: -13.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 14897.\nAnswer: -7\/14897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t - 2. Let o = 17 + -14. Suppose 18 = -4*n + 3*n - o*v, 4*n + 20 = v. Let j be 12\/(-8)*n\/9. Determine f(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 7 = -0*x. Let o be 7 + (x - 5) + 22. Suppose 27*c = o*c + 50. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 5*u**2 - 4. Let c(f) = -6*f**2 + 345*f + 170. Let q be c(58). Let v(t) = -t**3 + t**2 - t + 1. Calculate q*v(m) - r(m).\nAnswer: 5*m**3 + m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(66) - -3*1*sqrt(66)))\/((-5*sqrt(72)*-4)\/sqrt(12)).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 f when three letters picked without replacement from {f: 6, e: 1, d: 5, w: 2, k: 3, l: 2}?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l + 5*a + 2 = -5, -4*l - 682*a + 680*a = -34 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*v - 3 + 73. Let b(i) = -2*i - 3. Determine b(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 6*p = 24. Let q(k) = k + 10. Let w be q(p). Is -1 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 18*r = r - 15*r - 16, 0 = -3*r + 15 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -1236*s + 1285. What is g(1)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39*d - 29*d + 5*d + 38*d - 55*d + (0*d - 3*d + 5*d)*(-4 + 1 + 1).\nAnswer: -84*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 117.97 - 119. Let a = 2.97 + -3. Let r = y - a. What is the third biggest value in 0.3, 0.1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 0*k**5 + 1\/12*k**4 - 1\/42*k**7 + 0*k**2 - k + 0*k**6 + 0*k**3 + 0. Find the third derivative of d(z) wrt z.\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 25b?\nAnswer: 25e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 18251.17 weeks?\nAnswer: 183971793.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30197705.\nAnswer: 5, 1667, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 q when four letters picked without replacement from {s: 3, r: 6, w: 4, q: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1486, -1487, -1488?\nAnswer: -1489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -120 + 117. What is the second biggest value in w, -4, 1\/2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2889 is divided by 1443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020342432 (base 5) to base 6.\nAnswer: 113250145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 200.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*sqrt(700))**2 - ((-2 + sqrt(700))*-6 - sqrt(700)).\nAnswer: 70*sqrt(7) + 4188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93667763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 256\/40 + 4\/(-10). Suppose 3*n = -2*n + 25. Sort -2, n, c in ascending order.\nAnswer: -2, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1467, 0.23, -0.077, 2 in increasing order.\nAnswer: -1467, -5, -0.077, 0.23, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 2, 400, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 14*l**6\/9 + 8*l**5\/15 - 28*l**4\/3 - 32*l**3\/9 + 95. Determine k, given that f(k) = 0.\nAnswer: -2, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 100 = -j. Suppose 0 = 3*d + 3 - j. Calculate the greatest common divisor of 517 and d.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 13, -15, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 1 - 1)*(0 - 1 - 2) + h + 3*h - 3*h + (25 - 25 + 5*h)*(0 + 2 - 3)*(-2 + 2 - 2)*(-12 - 25 - 457) as u*h + o and give u.\nAnswer: -4933","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2))**(-31))**(-1\/24)*((s\/s**1)\/s)**(1\/17)*(s**(5\/2)\/s)\/(s\/(s*s\/(s*s\/(s**8\/s*s)*s))) assuming s is positive.\nAnswer: s**(991\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5838 is divided by 146?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.23462 to 2 dps.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 49179239 to the power of 1\/2, to the nearest integer?\nAnswer: 7013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c - 98 = -4*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1216\/125 at most 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18695840, 18695847, 18695854?\nAnswer: 18695861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, 166998, 0.2, 10\/11?\nAnswer: 166998","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 257, 381, 505, 629, 753?\nAnswer: 877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jioi when four letters picked without replacement from {j: 1, o: 3, i: 3, l: 7}.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-2 - (-2 - -3) - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11160 is divided by 10838.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -8 - (-5)\/((-5)\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6682023 + 0.24\nAnswer: -6682022.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -5. Suppose -3*m = -2*j + 55, -5*m + 47 = j - k*m. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -22. Let n(p) = -2*p**2 - 32*p - 30. Let h be n(-15). Solve -x + 0*w + 5*w + 20 = u, 4*x - 3*w + 5 = h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 1016.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.23 * -15.\nAnswer: -3.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -408*s**3 - 3*s**2 - 5*s + 818. Let g(r) = -204*r**3 - r**2 - 2*r + 409. Let k(p) = -5*g(p) + 2*h(p). What is the first derivative of k(l) wrt l?\nAnswer: 612*l**2 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/13)*i)\/i*i)\/((i*i*i*i\/i**(2\/5)*i)\/i) assuming i is positive.\nAnswer: i**(-174\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 74335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2833, -11309, -25435, -45211?\nAnswer: -70637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7080 - -7074. What is the closest to 1 in -5\/2, 0.21, g?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 5:09 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 81 - 162 + 178 + 171*f. Is c(2) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 12*r + 44. Does 50 divide d(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(2 - (0 - (-8)\/3)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 3:19 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 5*z - 7, 73*w - 4*z = 71*w - 12 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + 2)\/(-2) - 0. Let o(v) = -v + 2. Let a be o(u). Suppose 2*t + 2*t + 2*k - 20 = 0, a*t = -3*k + 22. Solve 0 = 4*s + 16, 4*m - t*s - 28 = -0*s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 37*g**2 + 5*g + 10. What is v(1)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by (-2)\/(-11) - (-456)\/33.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3498, -3372, -3248, -3126, -3006, -2888, -2772?\nAnswer: -2658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**4 + 77*p**3\/2 - 104*p**2 - 123*p\/2 = 0. What is p?\nAnswer: -41, -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 5)*(-2 - 4 + 0)*(3*d - 2*d + 0*d) as w + k*d and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -263*y + 252*y - 18348. Is y <= -1663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -1 + (1141550\/178619 - (-1 + (-42)\/(-38)))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2811*u - 2806*u - 2631*u + 8944*u.\nAnswer: 696*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1651*j - 33679 + 33679)*(1 + j - 1)*(j**2 + 2*j**2 + 0*j**2).\nAnswer: 4953*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 1 (c) -0.053\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1642*p**4 + 13*p**3 + 47447?\nAnswer: -6568*p**3 + 39*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 321 + -314.15. Let v = 7.397 - z. What is v rounded to 2 decimal places?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 3:50 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 334604519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a decade?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 21*u**2 + 82*u + 24. Determine z(14).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**2 - 5*k - 2. Let i(w) = 16*w + 86. Let j be i(-5). Let d(o) = 3*o**2 - 6*o - 2. What is j*a(t) - 5*d(t)?\nAnswer: 3*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + -191.\nAnswer: -190.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.175 + 2.7. Let o = s + 0.47500719. Round o to 7 decimal places.\nAnswer: 0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 693772 divided by -173443.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.08 + 0.08. Let t = 2 + v. Which is bigger: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(5 + 9\/(-2)). Suppose f*a = -2 + 18. Let i(l) = -2*l**3. Let v(m) = -13*m**3. Determine a*v(d) - 14*i(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiixiiii. What is prob of sequence iixi?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 + 5*t - t**3 + 6*t)*(-t + 0*t - t).\nAnswer: 4*t**4 - 22*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.085 - -1.715. Let j = y - 2.8. Which is the third biggest value? (a) 3 (b) 10\/7 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1150.8097 + 2.5097. What is f rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3 - 1 - 33*q + 9. Let o be m(-8). Suppose -o = -5*g - 2*n, -6*g + g - 5*n + 260 = 0. What is the remainder when g is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 2 = -3*b - 14, 2*w = -4*b - 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 127 - 124. Let u be -2 - ((-2)\/(-6)*9 - k). Let c(v) = 4*v + 2. What is c(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 15 + 1 = -2*x, -3*p = 6. Suppose -u = x*u - 115. What is the remainder when 44 is divided by u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 530254453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 0*y = -144. Let i be y\/18 + 20\/(-3). Let o be 7\/28 - (-2)\/i. Solve 3*b = 15 - o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 11*k + 395. Let o(f) = 2*f + 3. What is g(q) - 6*o(q)?\nAnswer: -q**2 - q + 377","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*t + 13*t - 10*t)*(11 + 6 - 4 + 6).\nAnswer: 209*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13264573 is divided by 158.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 154978543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 4*p - 2 - 0, -1 = -4*a - 3*p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i + 2. Let j be h(2). What is the units digit of j*5\/((-10)\/(-3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 1450.\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429 is divided by 168.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -486*v + 93. Let y(m) = 2428*m - 462. Let p(x) = -11*l(x) - 2*y(x). List the prime factors of p(4).\nAnswer: 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-20) + 15\/4. Let o(q) = q**2 - 9*q + 2. Let j be o(9). Let k be 3*-2*j\/l. Which is greater: 0.1 or k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.575 - 0.175. Which is the nearest to 0? (a) -3\/2 (b) j (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -10, -12, -2 in descending order.\nAnswer: 2, -2, -10, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 242 + -241. What is the smallest value in -5, 4\/11, l, -4\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f - 3. Let n(c) = -c - 11. Let j(p) = -p - 23. Suppose 8*w - 45 = 3*w. Let x(k) = w*n(k) - 4*j(k). Calculate -7*h(q) + 3*x(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -159*v**2 - 65*v**3 + 5041*v - 233*v**2 + 68*v**3 + v**4 wrt v.\nAnswer: 12*v**2 + 18*v - 784","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(320))**2 - sqrt(320)) + 3)*3 + (2 + 0 + sqrt(320) + 0)**2.\nAnswer: 8*sqrt(5) + 1293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 466 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24665 = 35*c + 24035 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 369869537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 2*t - 12, 3*w - 4*t - 4 = -2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -41, -76, -113, -152, -193, -236?\n\"Answer: -a**2 - 32*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -85535.1 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325*g = -321*g - 12. Suppose 14*n + g*n = 782. Suppose 3*m - 5*p = 192, 5*p - 127 + 43 = -m. What is the greatest common divisor of n and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.78 times -1.69786?\nAnswer: 82.8216108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 17489*f + 2462. What is the ten thousands digit of q(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 3*t**2 + 6*t - 6. Let f be c(4). Let m = 1169 + -1420.96. Let x = m - -252. Put 0.1, f, x, 5 in ascending order.\nAnswer: x, 0.1, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + 384\/(-90) + (-1)\/3. Let i = 3\/29 - -19\/377. Which is the second smallest value? (a) i (b) 0.3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90 - 86. Suppose -10*v + 728 = i*v. Let k = 43 + -30. Calculate the highest common factor of v and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 833541.7 minus 0.4?\nAnswer: 833541.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-32 + 15 - -16)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-10) - 30963\/135. Let j = k + 17221\/72. What is the common denominator of (-324)\/20*(-2)\/4 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 219*q - 273*q + 378 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (14432\/(-1640))\/((1*-1)\/((-20)\/8))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5205, 10407, 15609, 20811, 26013?\nAnswer: 31215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 903154 a multiple of 536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 261478427 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4 - 20\/(-8). Let j = d + -2. Let y be j\/2 + (-15)\/(-10). Solve -3 = 3*x + y*m, 6*x + m - 1 = 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + a = 0, z = -3*a + 21 - 1. Suppose 4*x - 3 = 5*k + 2, 4*k = -z*x + 37. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -577475*-1\nAnswer: 577475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**4 - 45*t**3 + 110*t**2 - 160.\nAnswer: 5*(t - 4)**2*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*m - 12080 + 1140. Let o = m - 542. Solve -19*n = -14*n - o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w + 42. Let d(s) = 4*s - 42. Give 2*d(q) + 3*o(q).\nAnswer: -q + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/3)\/((-6)\/(-108)). Let q = f - 3. What is the remainder when q is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-1\/4))\/t*t**(-7)*t)\/(t**(1\/7)*t*(t*t\/(t*t\/t**(7\/4)))\/t) assuming t is positive.\nAnswer: t**(-50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*p + p. Suppose p*g + 12 = -8. Let c be (-6)\/3*1\/g. Which is greater: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 5. Let s be 0*2*(-1)\/(-4). What is the units digit of q(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 8*k**3\/3 + 25*k**2 - 14*k. Let w be c(-5). What is the common denominator of ((-219)\/w + -1)\/(-1) and -42\/13?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/11426 and 19\/1576?\nAnswer: 45704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -3*v + 30, -4*z - 3*v = -134 + 160 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t**(-1\/4))\/t)*t*t)**(-1\/15)*(t**(-4)\/t)\/(t\/t**(-5)*t))**(-47) assuming t is positive.\nAnswer: t**(34451\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times -47\nAnswer: -28.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 + 575*n + 570.\nAnswer: 5*(n + 1)*(n + 114)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-458)\/10 + 6\/(-30). Which is smaller: -47 or i?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1474 + 1474 + 80*h**2)*(2*h + 0*h - h + (-h + h + 2*h)*(2 + 0 - 4) + h + h + 3*h - 2*h + 4*h - h).\nAnswer: 240*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -5*a + 3*g - 10, -4*a + 39 = 3*g for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23052\/7 or -6?\nAnswer: 23052\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 3*c + 13809, -j - 2971 = -c - 214. Let n = -1848 - 115. Let t = n - j. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1046 and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from oososso?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13\/7 - 114\/35. Suppose 2*s = 4*o - 233 + 29, 186 = -2*s - 5*o. Let h = s + 97. Which is greater: h or v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f - f - 4*f + (2 - 4 + 4)*(0 + 0 - f) + 19*f - 20 + 20 - f + 3*f + 0*f.\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - 0.1. Let z = -16 - -15.8. Which is the closest to -1\/4? (a) 4 (b) m (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1650 = 6*s. Is 22 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 895519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4*k - 260 = 6*k, -5*k - 20 = 0. Suppose -q*o + 96 = -76*o. Which is bigger: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 871 + -494. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**5\/60 - g**4\/4 + 5*g**3\/6 + 2*g**2 - g. Suppose -a - 1 = p - 7, 0 = 2*p - 2. Give q(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/sqrt(180) + sqrt(14))\/sqrt(2).\nAnswer: 7*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - b = -20, -b = 3*g - 5*b + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 370732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15\/45)\/(1\/9). Suppose 15 = 3*c + j. Is (34\/(-6))\/(c\/(-72)) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -18, 1, 2, -2.\nAnswer: -18, -2, 1, 2, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 3. Let q(z) = -z**3 - 5*z**2 + 7*z - 2. Let h be q(-6). Let f(t) = 234 + 4*t - 509 + 267. What is h*s(x) - 3*f(x)?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 1 (c) 18 (d) 3 (e) 0.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*u = 3, -5*w - 3*u + 14 = -10. What is the common denominator of ((-174)\/120)\/((-8)\/36*w) and 49\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 77*s + 1174 + 520 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z - 4*z + 31*z + 0*z to the form u*z + l and give u.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -12884 smaller than -12902?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**4 - 3*x**2 + 3*x**2 + (-11 + 8*x**3 + 11)*(-129*x + 490*x + 414*x).\nAnswer: 6202*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2515 or -2516?\nAnswer: -2516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(176) + ((sqrt(66) + (2*sqrt(66) - sqrt(66)) - sqrt(66))\/sqrt(6) - sqrt(11)))*4)**2.\nAnswer: 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007 times -0.9?\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 + 0. Suppose -3*j + y = -242, -j + y + h = -29. Calculate the remainder when 1\/2*(j - 0) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*f + 6. Suppose -4*q = -q. Suppose -f = -q*v - v. Solve 5*u + 0*i = i + 2, v*i = -3*u + 15 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 555*c**2 - 3449*c**2 + 345*c**2 - 1523*c**2.\nAnswer: -4072*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/13 <= -1.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, u: 1, w: 2, o: 1, z: 3}. Give prob of sequence uow.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 2*d**2 + 2. Let y be l(-2). What is the derivative of y*a**4 + 2 - 4*a**4 - 7 wrt a?\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1984333 and 0.5.\nAnswer: -0.09921665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 < 318\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/115 and (408\/85 + -5)\/(-1 - 47\/(-37)).\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.5 - -1.7. Let w be 69\/(-21) + 4\/14. Let u be 2\/4*2\/(-7). What is the second smallest value in w, b, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 2*i**2 - 3*i)*(2*i - 2*i - 2*i) + 3*i**3 - 2*i**3 + i**3 + 3*i**3 + i**3 - 3*i**3 + (i**3 - 1 + 1)*(1 - 1 + 2) + i**3 - 2*i**3 - i**3.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 5*q**2 + 7*q. Let g(m) = 14*m**3 - 5*m**3 + 2 - 7*m**3 + 5*m**2 + 7*m. Let x(c) = -2*g(c) + 3*h(c). Give x(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66684 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(1 - 3) + 0. Let q(v) = 2*v**3 - 16*v - 25. Let d(n) = -3*n - 4. Let f(h) = -6*d(h) + q(h). Give f(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r. Suppose -4*n - 2 = x, -5*x + 0*x + 12 = -2*n. Calculate the remainder when t(n) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 530 = 14*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 423 = -85*f - 427 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21515 + -14490. What are the prime factors of p?\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*4\/12*5. Let u = 3 - -1. Find the first derivative of u + o**3 + 0*o**3 - m wrt o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/(-14)*-1*(-2)\/(-1)*1. Find g, given that 1\/4*g**2 + p - g = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 0*q**2 + 3*q**3 + q**2 + 1 - 4*q**3. Let f(k) = -7*k**3 + 6*k**2 + 6. Determine f(a) - 6*h(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 20*v**2 - 29*v - 31. Let n be z(-21). Let a(r) = -n*r + 146*r - 2 - 16 + 0. Let c be a(3). Calculate the highest common divisor of 18 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = q + 12. Let v = 4.93 + 0.07. Sort q, 3\/7, v in increasing order.\nAnswer: q, 3\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27767*c - 81278?\nAnswer: -27767","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13581511.\nAnswer: 13581511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 237, 2, 14 in increasing order.\nAnswer: 2, 14, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 18*k**2 - 2*k + 10. Calculate y(18).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 2. Let y(t) = -t**6 + 8*t**2 + 17. Let x(g) = -51*o(g) + 6*y(g). What is the third derivative of x(b) wrt b?\nAnswer: -720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 984853970?\nAnswer: 2, 5, 98485397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59182733, 59182745, 59182759, 59182775, 59182793, 59182813?\nAnswer: 59182835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, l: 10}. Give prob of sequence lkkl.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 6 = -u, -u = -2*t + 4*t - 6. Suppose -2*l + k + 6 = 0, -3*l - u*k + 2*k = -31. Solve -5*j - 25 = v - 2, 0 = 3*v - j + l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -3.7. Let d = t - 0.4. Let m = 811 + -812. Which is the closest to d? (a) -2\/5 (b) -3\/2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -198eb922 + 1?\nAnswer: -198eb921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -426117.8499949 + 426207.85. Let k = q + -90. Round k to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/10*30\/12. Let d = -80 + 82. Suppose t*f - d*a - 340 = 3*a, 0 = -f + 4*a + 170. Does 34 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*t - 4*t - 3*t)*(-6 + 4 + 0) + t - t + t)*(0*t - 2*t - 3*t)*(0 - 2 + 1).\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + (-532)\/(-21))*6051. Let u = -11394 + t. What is u rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1471 + 1600. What is the remainder when k is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ctcctktqtcqqakccq. Give prob of sequence kqkc.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103484*h + 22936 = 103860*h for h.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 312 - -3580220?\nAnswer: 3580532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(5\/6)*f*f)\/f*f)\/(f\/(f\/f**(-4))))**5*((((f**(-2)\/f)\/f)\/f)**(9\/5))**(-19) assuming f is positive.\nAnswer: f**(1261\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g**5\/3 + 44*g**4\/3 - 44*g**3\/3 - 128*g**2 - 138*g - 36 = 0 for g.\nAnswer: -3, -1, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4 + -2 + -15 + 51.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3979 = -16*f - 2053. Let t = 380 + f. Factor -26\/5*k**t - 4\/5*k**2 + 0 + 0*k.\nAnswer: -2*k**2*(13*k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fbffbbffbbzbzzfbb. Give prob of picking 2 z and 1 b.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5 = 5*s, n + 3 + 4 = -s. Sort 0.5, 3\/8, n in decreasing order.\nAnswer: 0.5, 3\/8, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**3 + 145*a**2 - 75*a - 119. What is the remainder when 0 - 2 - 1*-64 is divided by u(-73)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 8*i**2 + 7*i - 14. Let w be f(-6). Suppose 2*c = -4*r + 4*c + 16, -2*r = -3*c - w. Suppose -65 - 155 = -r*j. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 196787 and 11359.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 16.309 and 0.699?\nAnswer: 15.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -3, 109, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 4*u**2 + u - 1. Let t be z(4). Suppose 3*p + 2*d = -81, -3*p + 4*p + t*d + 27 = 0. Round p to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -3\/2, -5 in decreasing order.\nAnswer: -3\/2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7172, -7170, -7168, -7166?\nAnswer: -7164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/((-3)\/(-6)*2). Suppose 3*t + 8 + 7 = d, 63 = 3*g - 3*t. Calculate the remainder when 62 is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 358*t - 320*t + 304 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*1 + (1 - 2). Let a = v - 7. What are the prime factors of -1*(36\/a)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-13))\/3*51\/(272\/(-16)).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 - 6*u**2 + 4*u**3 + 6*u**2.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223104 - 223104 + 7*x**2.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2125*x + 10 = -2120*x + 2*s, 5*s + 37 = 3*x. Solve -x*g + 5*j - 8 = 0, 45*j - 48*j + 9 = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -1\/4*v**4 + 3\/2*v**2 + 3 - 3*v + v**3. Let d(u) = 2*u**2 + 2*u - 1. Let a be d(1). Calculate n(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 360134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 14) in base 13?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 12206642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49 - -54. Suppose 0 = -i*n + u - 6*u + 50, -20 = -5*u. Suppose -3*y + 5*k - 5 = -0, k + n = 2*y. Solve j = -2*g + y, g = 3*j + 2*g - 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 297612?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4\/3 (b) 12 (c) 267\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1.21272?\nAnswer: -1.21272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 48.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 3*s - 3. Let d be b(1). Is (0\/d)\/(-1) + -24 + 697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-702)\/(-12) - -5)\/(1\/26) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-1038\nAnswer: -207.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 920.9853 nanograms in kilograms?\nAnswer: 0.0000000009209853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 10. Suppose -3*j - n = -7*j, -2*i + j = -3. Suppose -4*q + 4 = 0, -3*u + 4*u - 26 = q. Calculate the highest common divisor of u and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 85868.\nAnswer: -9\/85868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (5 + -2 + -5 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.03 (b) 2\/9 (c) 5 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 153.750445 rounded to 1 decimal place?\nAnswer: 153.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0733 and -0.0585314.\nAnswer: -0.00429035162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 6753231?\nAnswer: 6753231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 16. Let j be b(12). Let h = 3 - 5. Let k be 6\/40 + h\/(-8). What is the closest to 2\/3 in -5, k, j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/((sqrt(66)*-2)\/sqrt(6)))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1113.051195 * -1.\nAnswer: 1113.051195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**4\/5 + 48*a**3 + 2340*a**2 - 226800*a - 8930250 = 0. Calculate a.\nAnswer: -45, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5806137 is divided by 111.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 636612533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -263 and -0.06.\nAnswer: 15.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -859 - 93?\nAnswer: -930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*j + 30 = -8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 513*t**2 - 95*t. Let m(u) = 16*u**2 - 3*u. What is -95*m(j) + 3*q(j)?\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1137452677\/6370 - 178564. What is the common denominator of 59\/3185 and v?\nAnswer: 6370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l + 4. Calculate i(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 18 = -f, -5*o - 4 - 22 = -3*f. Let j(q) be the first derivative of q**3\/3 + q**2\/2 + 4*q - 2. Calculate the remainder when j(o) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/640 and -3\/140?\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 721 + -338. What is the remainder when w is divided by 150?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (3 + -19) - 8.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 780383.8 litres to millilitres.\nAnswer: 780383800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/31)*(k**(7\/4)*k)\/k*k)**18 assuming k is positive.\nAnswer: k**(3141\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 852, 1707, 2564, 3423, 4284, 5147?\nAnswer: 6012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, f: 11}. What is prob of picking 2 f?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + g + 2*g + 41 + 42.\nAnswer: 3*g + 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 682 divide 297886688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)\/(sqrt(12)\/sqrt(4)))\/sqrt(3) - (sqrt(19) + 4)*4*-4)**2 + 4.\nAnswer: 2176*sqrt(19) + 9591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 229*r**5 + 45*r**2 - 3*r wrt r.\nAnswer: 13740*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y = 40, -4*u + 2*y = -104 + 56 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*i - 247*i + 3514 = -311 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -97, -412, -939, -1684, -2653, -3852, -5287, -6964?\n\"Answer: -y**3 - 100*y**2 - 8*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 + -51. Let y = -6 - -9. Put 4, y, s in decreasing order.\nAnswer: 4, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.79422 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 675.48 - 948.1. Let f = 276 + v. Round f to 1 decimal place.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 + 46*z - 303 + 2*z**3 + 303 in the form q + u*z**2 + l*z + w*z**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**8\/112 - 2*j**7\/15 - j**4\/12 - 77*j**3\/6 + 12*j**2 + 5*j. What is the second derivative of w(a) wrt a?\nAnswer: -60*a**3 - 336*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 39501?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87110 divided by -5.\nAnswer: 17422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 636834651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 11*v + 136. Let c be d(-12). Suppose -5*t + c*g = 1760, 4*t + 1318 = -g - 90. Which is bigger: -353 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -36*o. Let l = 36 + -26. Let c(j) = -7*j**2 - l*j**2 + 18*j**2. Calculate c(q(w)).\nAnswer: 1296*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12851 is divided by 4*((-63)\/12 - -12)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1508662 divided by -754331.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 5 - 19. Suppose 4*h + 2*f = 12, 3*f + x = 3*h + 13. Let g(b) = -b**2 + 19 + 7*b**3 + 2*b**3 - 19. Give g(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 1. Let v(u) = -81*u**2 + 2*u + 3. Let i(p) = 3*n(p) - v(p). Let w(y) = -y. What is i(w(b))?\nAnswer: 81*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(5*10\/(-1400))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -107881543*a**2*h**2 - 408*a**2*h - 32*a**2 + 1063*a*h - 2*a wrt h.\nAnswer: -215763086*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.174949 rounded to 2 dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -28*v + 1045. Calculate the highest common factor of v and 583.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 + 0.08. Let b = g + -6.07. Let r = b + 6.00012. Round r to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -69887080926 - -5.\nAnswer: -69887080921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 2*p + 15. What are the prime factors of l(5)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 200*h**4 - 207*h - 772. What is the derivative of m(l) wrt l?\nAnswer: 2400*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * 0.4.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.707 - 0.285\nAnswer: -0.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3794592762 to the power of 1\/2, to the nearest integer?\nAnswer: 61600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (152\/(-26) + ((-144)\/(-39))\/(-24))*-2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 1040 = s, 2*q - 761 = -q - 4*s. Let x = q + -1289\/5. Let 1\/5*y**2 - x - 1\/5*y = 0. Calculate y.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/606705 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -416, -833, -1250, -1667, -2084, -2501?\n\"Answer: -417*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 84.\nAnswer: -5, 1, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 276413 - -2?\nAnswer: 276415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, i: 1, o: 1, t: 3, j: 1}. What is prob of picking 1 t and 1 o?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1102423293 to the nearest integer?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2080832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11272, 11211, 11132, 11029, 10896, 10727, 10516, 10257?\nAnswer: 9944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353 = -122*b - 867 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-2)\/(-12)*-3*8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 44 = t, 0*t + 2*t = -3*o - 73. Suppose -24*q - 69 = -21*q + 3*i, 0 = 11*i - 66. Does q = t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (343616\/56)\/118*(-2)\/(1*8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 5 + -8 + 3 + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0 = 8. Let z be 165 - ((-4)\/2 + p + -1). Suppose l - z = -3*a + 2*l, 5*l = 4*a - 226. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -2*q**5\/45 + 19*q**4\/18 - 34*q**3\/9 + 49*q**2\/9 - 32*q\/9 - 125. Let m(a) = 0. Calculate a.\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 5*j = -33 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in decades?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 135*p**2 - 699*p - 6372. Determine t(-130).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 281341059 to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 57, 62, 79, 114, 173, 262, 387, 554?\n\"Answer: q**3 - 2*q + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212 (base 7) in base 13?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 267, 2140, 7245, 17202, 33631, 58152, 92385?\nAnswer: 137950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2070 + 2192.1. Let h = w - 122. Sort h, 2, 2\/7 in ascending order.\nAnswer: h, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 8*l = -l + 12. Let a(y) = -y - 1. Let s(u) = -7*u - 3. Give l*s(r) + 6*a(r).\nAnswer: r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/22224 and 73\/94452.\nAnswer: 377808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 367*y**3 - y**2 - 124*y**3 - 170*y**4 - 1 - 118*y**3 + 1042*y**4 - 124*y**3 as x*y**3 + l*y**4 + i + q*y**2 + a*y and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 21*j + 22)*(9*j - 9*j - 7*j**4) + 4*j**5 - 2*j**5 + 3*j**5.\nAnswer: 152*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25.79 + -26. Let m = -3.69 + w. What is m rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(128)*2 - sqrt(2)).\nAnswer: 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 932 = 11*y. Let p be 4\/64*12 + y\/(-4). Let u(w) = 10*w - 1 - p*w - 23*w. Let z(f) = -f. Determine u(z(b)).\nAnswer: 72*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + sqrt(208)\/sqrt(4) + 4 - (0 + sqrt(1573))*-4)**2.\nAnswer: 384*sqrt(13) + 29968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 - 12*l + 6. Let i be f(-6). Let h(u) = -7*u**3 - u**2 - 13*u - 15. Let p(d) = -8*d**3 - 14*d - 16. Let n(a) = i*p(a) - 7*h(a). What is n(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13440 by -5.\nAnswer: -2688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12294.4 - -12294. Suppose 0 = -0*y + 5*y - 15. Let a be y - (-1 + (-92)\/(-22)). What is the second biggest value in 1, a, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.345*39.\nAnswer: -13.455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120101021210010 - -1011?\nAnswer: -120101021201222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3791*q**2 - q + 29216?\nAnswer: 7582*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/9)\/(410\/123)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*j**3 + 17*j**3 + 22*j**3.\nAnswer: -125*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8569 - -1242512\/145. Which is smaller: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -11. Solve -n = 2*i + i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-25)\/15 + 3 + 50\/(-15). Is 23 a factor of (-653)\/w + (-168)\/112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 18*v**2 + 34*v + 42. Suppose 0 = -4*j + p + 21 - 83, 5*p = -10. What is the remainder when 227 is divided by m(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, w: 4, t: 2}. What is prob of picking 2 q?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 792 = 31*p + 35*p. Sort 2, 10, p, -2 in ascending order.\nAnswer: -2, 2, 10, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5\/4 + 601455*o**4\/4 + 90436728527*o**3\/4 - 90437931439*o**2\/4 - 22609182132*o + 22609332496 = 0 for o.\nAnswer: -300728, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 5*t**4\/24 - 7*t**3\/6 - 2*t**2 - 1488. Let m(u) = -26*u + 36. Calculate -16*b(k) - 3*m(k).\nAnswer: -2*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1123596, 2247192, 3370792, 4494396, 5618004, 6741616, 7865232?\nAnswer: 8988852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -134 + 94. Let t = 44.2 + f. What is t rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/18 + -3 - (-14)\/21?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29.54 + 0.54. Let z = b + 28.9845. Round z to three dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -8*w**5\/15 + 14*w**4 + 164*w**3\/15 - 18*w**2\/5 = 0.\nAnswer: -1, 0, 1\/4, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, n: 3, k: 4}. Give prob of picking 3 k and 1 i.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*f = -47*f - 729. Find the common denominator of -64\/9 and 1 - (1629\/f + -1).\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 47 + 8. Let b be (-66)\/w*3\/(-1). Is (2 - 5\/5)*b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-168)*0)\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-87)\/22 - 168\/308)\/(2\/(-4)). Solve -7*c - 32 = r*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28892 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 8. Let b be h(6). What is the first derivative of 129*y - 11*y**b - 6 - 129*y wrt y?\nAnswer: -22*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04917117906 + -0.03.\nAnswer: 0.01917117906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -182\/137 - 2\/411. Let c = -5\/6 - b. Let l = 75.36 - 76.36. What is the second biggest value in c, 3, l, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -128510072.3087 and -177?\nAnswer: 128509895.3087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7945508647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26244950 to the nearest integer?\nAnswer: 5123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 25, 73, 147, 247, 373, 525, 703?\n\"Answer: 13*c**2 + 9*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -182*s + 3025. What is m(17)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -80 (b) 1 (c) 0.3 (d) -5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.9 + -6.4. Let d = 0 + -1. What is the second smallest value in v, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (((-1 + 1 + w)*(-4 + 4 - 2) - 5*w - 3*w + 6*w)*(3*w - 3*w + w**2) + 0*w**3 - 4*w**3 + 3*w**3 + (4 + w**2 - 4)*(2*w - 17*w + 58*w))*(4*w - 3*w + 0*w).\nAnswer: 38*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, 17, 4, -2\/5, 1\/3, -1850?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4*z**2 + 4*z + 11. Let l(v) be the first derivative of 2*v**3\/3 - v**2 - 5*v + 3. Give 9*l(w) + 4*q(w).\nAnswer: 2*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 3*p**2 + 4*p + 4. Let a be h(-2). Suppose -2*r + r - 2 = a. What are the prime factors of 4*(-23)\/r + 1*2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 537080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158014, -158013, -158012?\nAnswer: -158011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10.7 (b) 2\/5 (c) -1.13 (d) -0.2 (e) -1283\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + (-5 + (-2 + sqrt(1008) + 4 - sqrt(1008) - (2 + sqrt(1008) + 1)))**2).\nAnswer: -4196 - 576*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.071, 4\/7, -0.1, 0.4 in increasing order.\nAnswer: -0.1, 0.071, 0.4, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -7. Let k be p\/12 - 58\/(-12). Let f(l) = -l - 5. Let q be f(-6). Solve h + k - q = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) 2\/7 (b) -1.18 (c) -13\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2116*n**3 - n**2 + 17186*n wrt n.\nAnswer: 12696*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192814 is divided by 3278.\nAnswer: 2690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4158, 4116, 4076, 4038?\n\"Answer: c**2 - 45*c + 4202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 518114\/3 equal to 172705?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69410496, -69410494, -69410492, -69410490, -69410488?\nAnswer: -69410486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -17*r**3 + 5*r**2 + 7*r + 2. Let l be g(-1). Solve l*u + 60 = -3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -4*k**5\/15 + k**4\/6 + 2*k**3 - 13*k**2\/3 + 10*k\/3 + 4113. Factor n(i).\nAnswer: -2*(i - 1)**3*(2*i + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h**3 + h + 1. Let r be w(-1). Let c be 3 + (r - -2) + 1. Suppose -c*y + 65 = 3*y. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 1 + -1 + 3 + (32 - 37).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 13*g + 379, -728090 = 5*p - 5*g - 727955 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8701086 or -1?\nAnswer: 8701086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -992801, -3971194, -8935183, -15884768, -24819949, -35740726, -48647099?\nAnswer: -63539068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, a: 2, f: 7}. What is prob of sequence afff?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d + 55. Let s be n(10). Let a = -11 + s. Suppose -4*y + 0 + 236 = -4*g, -a*y + 235 = -5*g. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6968)\/117 + 1305\/2349.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407096497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -34711630?\nAnswer: -208269780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 16\/(-5)*5\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (665\/(-14))\/19*168\/(-315)*12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**3\/3 - 11*s**2\/2 + 6*s - 8. Let o be q(11). Suppose -t = 5*t - o. Is 13\/6 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x + 29. Calculate the remainder when 16 is divided by b(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1268466.9002 to the nearest one hundred.\nAnswer: -1268500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - -10)*3\/2. Suppose -4*k - 20 = -9*k. Factor x**k + 11*x**2 + 41*x**4 - q*x**5 - 3*x**2 - 32*x**3.\nAnswer: -2*x**2*(x - 1)*(3*x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61629 = -13*f + 42891. Is f\/28 + 5\/(-35) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 1896723.3?\nAnswer: 11380339.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2 = -4*a. Let z = 30 - 36. Let q be z\/(-2) - (a + -18). Calculate the highest common divisor of q and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102)\/527*43\/(-172)*(-2)\/3.\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiivvvqquogv. What is prob of sequence oiv?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 5*w - 2. Let q be j(-4). Let l(g) = -3*g**2 + 8*g**3 - 3*g + 3 + 2*g**q + 6*g**2 - 7*g**3. Calculate l(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2656.3536 months to millennia.\nAnswer: 0.2213628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2458 + 316 = -21*l. What is the least common multiple of 3 and l?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 43*r - 730*r**3 - 12257*r**2 + 12300*r**2 + 128*r**3. Let g(s) = -43*s**3 + 3*s**2 + 3*s. What is -43*g(m) + 3*w(m)?\nAnswer: 43*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1037912*3\nAnswer: -3113736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6414 is divided by 2138.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/(-438) - 6\/(-60)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*r = 2*j - 93, -2*j = -3*r + 183. Let v = -60 - j. Let k = -6 + v. Solve -d - 2*q + k = 2*q, 3*q = d + 7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5 + 16*v**4 + 64*v**3 + 106*v**2 + 79*v + 22 = 0. Calculate v.\nAnswer: -11, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -1 + 0 + (-3 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.004 - -0.096. Let o = c - 0.1000139. Round o to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 3*l + 2. Let m be t(-4). Let f be 16\/m*3\/2. Sort f, 2, -3.\nAnswer: -3, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24758 + 1237949\/50. What is the common denominator of (1164\/(-18))\/(24\/(-9)) and t?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((39984\/2210)\/49)\/(24\/20)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*r + 4, -4*a - r + 3 = -3*a. What is the nearest to -2\/5 in 2, 0.3, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4243592 millilitres in litres?\nAnswer: 0.0004243592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -4*j**7\/105 - 11*j**6\/60 - j**5\/3 - j**4\/4 - 2*j**2 + 2. Factor b(s).\nAnswer: -2*s*(s + 1)**2*(4*s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(132) + sqrt(132)*-2) + sqrt(132))\/(sqrt(192) - sqrt(192)*2)*-6.\nAnswer: -15*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s + 2. Suppose -4*m + 17 = -h - 0*h, 0 = -3*m - 4*h + 27. Suppose -m*r - 32 = -r. Let o be (-2)\/(-2*(-4)\/r). Give f(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 5. Let m be s(-2). Let o be -1 + m + (105 - 0). Suppose -64 = -3*i - 5*w + o, 50 = i - 4*w. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1202798 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26880, 51376, 75872, 100368, 124864, 149360?\nAnswer: 173856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r*r**(2\/7))\/r*r**1)\/(r*r**1*r*r)**(-2\/3))**(-33) assuming r is positive.\nAnswer: r**(-1144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/(-560) + (-8)\/14?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and -1645.\nAnswer: -49.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 15. Let n = m - -3. Suppose -3*k + n*k = 480. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n - 16. Let r = -21 + 10. Let h be t(r). Let g = 5 - 4. Put h, -2, g in decreasing order.\nAnswer: g, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 275029764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -182124.464 rounded to the nearest ten?\nAnswer: -182120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -326*o**3*r**2 + 2*o**3*r + 2*o**2*r**5 + 8*o**2 - 3*o*r**2 + 237*o*r wrt r?\nAnswer: -652*o**3 + 40*o**2*r**3 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29392 = -9*u + 79603. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r**2 + 2*r + 1. Suppose 0 = 8*c + 16 - 8. Calculate i(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108649 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: What are the prime factors of 124928?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*u, a - u = -a + 10. Let g be 22*-1 + a + -5. Calculate the common denominator of 89\/22 and 762\/(-9)*(-2)\/g.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 947 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2\/5 (b) -2 (c) -2\/7 (d) -43874\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 6 = 2. Let r be (3\/(-4))\/(s\/4). Let n = 0 - r. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9681393 = 27*b - 2837778. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 2*p = 12, g + 21*p = -2*g + 23*p + 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 2*w - 3. Let z be j(-3). What is the units digit of 2 - 1\/((-1)\/z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-782)\/(-102)*(-24)\/32?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8*j**14)**(-24) assuming j is positive.\nAnswer: j**(-528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*r - 88, -r - 2*r = 5*g - 128. Suppose 4*h + 2 = -m, -h = -3*m + h + r. Suppose 3*f = q + 4*f - 4, 4*f = -q + m. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -35691, -35669, -35637, -35589, -35519, -35421, -35289, -35117?\n\"Answer: q**3 - q**2 + 18*q - 35709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/463060 and -68\/45032585?\nAnswer: 180130340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -929.26 rounded to the nearest 10?\nAnswer: -930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 11*t**2 - 6*t - 6. Suppose 5*w = g - 56, g - 6*g = -4*w - 301. Let b(q) = -17 + 32*q**2 + 26*q + 18*q - g*q. Calculate -6*b(y) + 17*d(y).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 147*w**5\/2 - 1218*w**4 + 3561*w**3\/2 - 726*w**2 + 90*w = 0.\nAnswer: 0, 2\/7, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -15*f + 2. Let j be s(1). Let a = 5 - j. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 + -1)*(-5030 + 5029).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2791990.624 rounded to the nearest ten thousand?\nAnswer: 2790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -646 + 645. Let x = -0.02 + 0.12. Which is the biggest value? (a) x (b) 1\/4 (c) -2\/19 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 60166597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 74413.12 years in centuries?\nAnswer: 744.1312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60361341869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4500 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -7*y**3 + 5*y**2 - 1. Let w(s) = 4*s**3 - 3*s**2 + 1. Calculate 10*w(v) + 6*z(v).\nAnswer: -2*v**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 199 - 2892. List the prime factors of q.\nAnswer: 11, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -52464 - 125606?\nAnswer: -211403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 7559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 92707 + -92712.59977. Let n = 5.6 + g. What is n rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 45181?\nAnswer: 361448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0, 7, 2\/5, 1\/7, -121?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1156, -1159, -1150, -1123, -1072, -991?\nAnswer: -874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, x: 11}. What is prob of sequence xxzz?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -443, -636, -805, -938, -1023?\n\"Answer: 2*d**3 - 207*d - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 5. Let j(g) = -1070*g**2 + 6 + 0 + 1068*g**2. Determine -5*j(u) - 6*m(u).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -567b (base 15) in base 13?\nAnswer: -846b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42964.26 + -47.26. Let n = x - 42917.0100055. Let j = -0.01 - n. What is j rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = z, -5*z + 7 + 18 = 5*a. What is the tens digit of 3 + 48 + 4 + a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u**2 + 22*u + 1. Let r be x(5). List the prime factors of (-388)\/r*(-7)\/(-2).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-3) + (-32)\/(-12). Suppose d*v - v - 2 = 0. What is the tens digit of -1 - (-106 + 3 + v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*p - 8063 + 698 = 328*p + 3447 for p.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11)\/484*184 + 4\/22 - 4. Put -3, -109, b in decreasing order.\nAnswer: -3, b, -109","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -s**3\/3 + 4*s**2 - 5*s - 1451. Suppose 0 = 3*d - 16 - 2. Give j(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/3 - 15\/(1 + 2). Suppose -r - 1735195 = -o - u*o, 5*o - r = 2168995. What is o rounded to the nearest 10000?\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*((1 + 3 + 1)*(-4 + v + 4) + 2*v + 4 - 4 - 4*v - 11 + 11 + (-2*v + 3 - 3)*(-1 + 1 + 2)).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 + 60. Which is the closest to v? (a) -3\/2 (b) -0.3 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + (-3 - 3) + 3. Let n be (2\/(-42))\/(2\/y). Sort -2, n, -5 in decreasing order.\nAnswer: n, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5344123 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -10 + 6 + (-1879)\/(-1) - 5. Suppose -17*h - 17*h = -u. Calculate the remainder when 108 is divided by h.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85241?\nAnswer: 13, 79, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -1, 2 in descending order.\nAnswer: 2, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 7*v**2 + 3*v - 15. Let n be r(6). What is the second derivative of 0*s**3 + n*s + 4*s + 34*s**3 wrt s?\nAnswer: 204*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rwwa when four letters picked without replacement from aarwawu.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeyeeeeeeeeeeeeee. What is prob of picking 2 e?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -25. Let x = y + 15. Is 20 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4821, 4818, 4805, 4776, 4725?\n\"Answer: -f**3 + f**2 + f + 4820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 520778 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81\/(-15) + ((-21)\/35 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, l: 7, k: 5}. What is prob of sequence lvk?\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 - (-2 - (3000\/(-55))\/8). Let m = 0.2 - 0. What is the nearest to 0.1 in m, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26378.69699 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -4*f**3 - 2700*f**2 + 10848*f + 187142464 = 0.\nAnswer: -452, 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*z - l, -3*z + 6*l = l - 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -11*a + 85. Give z(26).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -224d01 (base 14) to base 11.\nAnswer: -727045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31431257 and 11429548?\nAnswer: 125725028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 5*d - 6410, 3*h + 2*d = 8*h + 6396. What is h rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 688210851 - 688210835.00000028. Let s = d - 16. What is s rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 n, and 1 c when four letters picked without replacement from ccfffncncccccxxc?\nAnswer: 27\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63333*g**3*z + 3*g**2*z - 5737*g*z wrt g?\nAnswer: -379998*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -269*a - 427. Determine x(0).\nAnswer: -427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2433 and 3244?\nAnswer: 9732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3215 = 7*s - 6*s, -s - 1071 = -y. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146, 1289, 3194, 5861, 9290?\nAnswer: 13481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 0*i + 596. Let o = i - 350. Is o a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 10*s + 9814 = 0, -7*f - 29338 = -10*f + 4*s. Calculate the greatest common factor of 27 and f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 51, -14, 4 in increasing order.\nAnswer: -42, -14, 4, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**3 + 37*t**2 + 143*t - 48. Determine r(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -6 (b) 0 (c) -323 (d) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nji when three letters picked without replacement from {i: 1, t: 2, o: 2, b: 1, j: 1, n: 2}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 816\/11 - 6693\/88. What is the common denominator of y and 27\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 17. Let d be q(-10). Suppose -d + 3 = -4*p. Suppose p*c - 9*c = -132. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4070478 - -39\nAnswer: -4070439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 13) in base 16?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/218 equal to 1084\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + u**2 + u. Let b(w) = 2*w**3 - w**2 - w - 1. Suppose 5*o - 12 = -17. What is o*y(q) - b(q)?\nAnswer: -q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssshshsh. Give prob of sequence hh.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 54, -29, 1\/3, 1.94, 0.6, 0?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34.68 + 33. Let q = -18.98 - v. What is q rounded to 0 decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17520661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -u**2 - 1138 + 4*u**2 - 12*u - 384*u**3 + 12*u + u**2 wrt u.\nAnswer: -1152*u**2 + 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 + 1 - (-9 - -10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 14 = -2*k, 5*g + 4*k - 265 = -293 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81108 and 4833.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)*-1*1)\/(-2*sqrt(21)\/sqrt(7)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3144.021 millimeters?\nAnswer: 3144021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -400 + 402. Find the second derivative of 5505*b**3 - 72*b - 29*b**2 - 26*b + y - 5504*b**3 wrt b.\nAnswer: 6*b - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(330) + -2*sqrt(330))\/sqrt(10) - -2*sqrt(3993))\/((4*2*sqrt(891) - sqrt(891))*-4))**2 + 2.\nAnswer: 97\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 14563781?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3335 and 4485.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-288)\/(-624))\/((-680)\/442)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n**3*r - 81*n**2*r**2 + 3*n**2*r + 72*r**2 + 4 wrt n.\nAnswer: 3*n**2*r - 162*n*r**2 + 6*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15081455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 479074 and 34844.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(18)\/(-2*sqrt(150)))**2.\nAnswer: 3*sqrt(3)\/5 + 903\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*-2*-6 - (-1 + sqrt(200))*-5) + 1.\nAnswer: -4 + 170*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r - 10*g + 7*g = -195, 5*r - 75 = 5*g for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/18)\/(60\/45)*(-12 + -16 + -4)?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 52 (base 7) to base 10\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119, -126, -135, -146, -159, -174, -191?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 236*q**2 + 13818*q - 6329. Determine j(-111).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.5 or 3\/20?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2698*n**4\/9 - 600*n**3 - 902*n**2\/3 - 4*n\/9 = 0.\nAnswer: -1, -2\/1349, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/16 and 127\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tlyltttltl. Give prob of picking 2 t and 1 y.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7176, 6966, 6624, 6144, 5520, 4746, 3816?\n\"Answer: -a**3 - 60*a**2 - 23*a + 7260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - (-15 - (-2784)\/(-203)).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 3640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2315 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2*x + 3 - 17, -4*w + 5*x + 30 = 0. Solve w*v = 4*v - 5*k + 23, 5*v - 10 = -4*k for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5 + 1. Let w be 0*c\/(-2*1). Suppose w = -u + 2. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6594064 * -0.4.\nAnswer: -2637625.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 + -56. What is the closest to x in -0.24, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1214020030 (base 6) in base 16?\nAnswer: d430b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 143 (b) -1\/3 (c) 0 (d) -2.03 (e) -2\/331\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97402536.\nAnswer: 2, 3, 7, 11, 17569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -23, 0.1, 1 in decreasing order.\nAnswer: 1, 1\/3, 0.1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/2355 and -43\/7914370?\nAnswer: 23743110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (45 - 83)) + -6\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - u**2 - 2*u + 7. Let s be a(0). Suppose 0 = 4*q - 4*d - 36, 12 = -0*d - 3*d. Suppose 0 = q*x + s - 42. Solve -20 = 3*p - x*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2892, -2895, -2900, -2907, -2916, -2927, -2940?\n\"Answer: -l**2 - 2891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q + 1. Let b be l(5). Suppose b*h - 410 = h. Calculate the remainder when h is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -860, -118?\nAnswer: -860","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -9*y + 6. Let b be c(2). Let t be (-137)\/b - 15\/20. Factor t*j**3 - 16\/3*j**2 + 32\/3 + 2\/3*j**5 - 14\/3*j**4 - 32\/3*j.\nAnswer: 2*(j - 2)**4*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 761156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/(-10)*(-24)\/(-16)*5. Let a = l - -25. Suppose -16*t + 30 = -11*t. Solve o - a*q = t*o - 15, 9 = 3*o + 5*q for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.3680326 rounded to 1 dp?\nAnswer: 22.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/(-5)*-1 + 118 + -2. Calculate the highest common divisor of 12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/5744 and 32.\nAnswer: 5744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 16 = -2*a, -160 = a + 4*x - 146 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -745 + 1094. Let m = -5237\/15 + s. Let z(i) = i**3 + i**2 - i - 1. Let v be z(0). Which is the biggest value? (a) -2\/5 (b) m (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + sqrt(4752)*-1 - sqrt(33))\/(sqrt(22)\/(2*sqrt(2))).\nAnswer: -24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/(g\/(g**1*g)))\/g)**33)**(-6\/17)*(g**(2\/21)\/g**(2\/3))\/(g*g*g*g*g**(-1\/3)\/g*g)**44 assuming g is positive.\nAnswer: g**(-66116\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3187919 is divided by 4379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -90, -7, -0.4, -1, 127, -0.1?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 - (-7)\/(21\/2)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144572 and 341436.\nAnswer: 3076","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 7. Solve -2*u - 3*o - 14 = r, 0*o - 3*o - 10 = -2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-199)\/398)\/((1\/5)\/((-104)\/20))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -43, 8, 93, 212?\n\"Answer: 17*v**2 - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/150)\/(-2*6\/(-3) - 2)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4934 - -4942. What is the remainder when 119 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -221002021 (base 3) to base 15\nAnswer: -5641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -5, -3\/40114 in decreasing order.\nAnswer: -3\/40114, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -10 (c) 401 (d) -4 (e) 0.56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5846599 to the nearest integer?\nAnswer: 2418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (150\/500*36\/(-27))\/((-1*3)\/(-15)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 27\/100, 0.1, 0.3, 0?\nAnswer: 27\/100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 55 = 15. Solve -g*i + 3*r = -4, 2*i + 2 = 3*i - r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-2)\/l)\/l**(-1)*l*l**(10\/7)*(l**13*l)\/l)**(-27))**(11\/3) assuming l is positive.\nAnswer: l**(-9306\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (2 - (-13 + 13)) + 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 + 0*c**3 + 0*c**3)*(2*c**2 - 3 + 3) + (-4*c**2 - c**2 + 4*c**2)*(-1 + 7 - 2)*(400 - 16*c**3 - 400).\nAnswer: 66*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1\/10, 2\/195, -0.15, 5, 1.25?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000041552041 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.26, -0.4, -147 in increasing order.\nAnswer: -147, -0.4, -0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37911*l**2*v**6 + l**2*v**3 + 9*l**2 - 1605*l*v + v**2 wrt v?\nAnswer: -4549320*l**2*v**3 + 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o - 8 + 38. Suppose -6*p + p = -2*y + 39, 3*y - 96 = -o*p. Calculate the remainder when 134 is divided by y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r + 4. Give z(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + 3. Suppose -23*o = 30*o - 15*o - 4522. Calculate the highest common divisor of o and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11545210 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02 + 0.38. Let r = 55893 + -55889. Let l = 3 + 2. Put r, -4, l, m in decreasing order.\nAnswer: l, r, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + -1 - (-9 + -2). Let z(c) be the first derivative of g - 1\/3*c**3 - 3*c**2 + 0*c. Calculate z(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = d + 2. Solve 2*g = -d*g - 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**2\/6 + 27791*h\/3 + 772339681\/6 = 0.\nAnswer: -27791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 17*f**2 - 51*f + 212. Calculate j(19).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + n - 392, 0 = 3*v - 3*n + 194 + 34. Let o be v*43 + 6\/(-2). Round o to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9294505?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1088472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, p: 1, x: 2, f: 7, i: 1, t: 2}. What is prob of sequence ifp?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-35)\/((-245)\/42) + 20\/(-3). What is the closest to 0.1 in -7, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*x + 27 = 115*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1330*n + 10617*n + 102157 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.2 less than 0.03?\nAnswer: -29.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -682, -1356, -2026, -2692, -3354?\nAnswer: -4012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -536 (base 9) to base 16.\nAnswer: -1b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 0*v + 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*b - 5*b = -585, -2*y - 387 = -3*b. Which is greater: y or -197?\nAnswer: -197","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, a: 1, s: 3, w: 1, k: 1}. Give prob of sequence ksws.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-3\/2)\/d))**(-1\/2) assuming d is positive.\nAnswer: d**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 780819?\nAnswer: 3, 13, 20021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - -11. Let g = o + -26. Which is the second smallest value? (a) 1\/4 (b) 0.6 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 5:26 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 5, -206219, -0.2 in decreasing order.\nAnswer: 5, -0.1, -0.2, -206219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - 0. Let q = -1 + t. Let n = 0.9 - 1. Which is the closest to n? (a) -3\/5 (b) q (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -324027644 + -574714.\nAnswer: -324602358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -19858.2 * -0.5\nAnswer: 9929.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36\/27 - (-346)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 5:38 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1874155 by -23.\nAnswer: 81485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-194)\/(-10))\/(-80 + (-18753)\/(-235)).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 2*i + 2. Let x(q) = q**3 + q + 6. Let l be x(0). Let d(b) = 7*b + 5 - 3*b**2 + 1 - 1 + 2. Let g(f) = l*d(f) - 22*o(f). Determine g(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**2 - 5*l**2 + 40287*l - 5*l**2 - 40287*l + 3*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 5*w - 4. Let u be c(11). Let k be 278\/8 - 1\/(-4). Suppose -5*p - 5 + k = 5*l, 4*l = 5*p + u. What is the remainder when 26 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 420*o - 15263. Determine m(40).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 29*q - 1277. Calculate y(23).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 73614622.\nAnswer: 1\/73614622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463586?\nAnswer: 2, 193, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9371229*y**3 + 7751*y**2 + 824*y?\nAnswer: 56227374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 12*k - 217. Determine t(22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7117 + -7120. What is the smallest value in 1\/5, -16\/5, k, 2?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 322\/(-92)*80\/14?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.48 - 0.05. Let l = c + 2.17. Let i = l + -3. What is the smallest value in 0, 2\/5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-7830)\/(-16) - 2) + 18\/(-48). Find the first derivative of y*z**3 + 35 - 487*z**3 - 31*z**4 wrt z.\nAnswer: -124*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + 146. What are the prime factors of z?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 5) in base 15?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 82 - 325. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.193081 millennia in years?\nAnswer: 1193.081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 3057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*c**3 + 11*c - 12*c - 3*c**4 + 2*c - 3*c**2 - 7 + 3*c**2 in the form n + k*c + a*c**2 + t*c**3 + b*c**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 64655 divided by 3?\nAnswer: 64655\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + -3 + (0 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = q - 13, 0 = -4*l - 21 + 5. Suppose z - q*y = 11, -2*z = -2*y - 1 - 29. Let x = -16 + z. Solve x = 2*g - 3*o - 2, g - 5*o = -o + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*y = -36, -u + 6*u + 4*y = 28. Suppose 2*r = u*r - 12. Factor 136*v + 51*v - 76*v**r - 324 - 63*v + 272*v + 4*v**3.\nAnswer: 4*(v - 9)**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2. Let u(i) be the second derivative of 3*i**3\/2 + 2*i**2 + 11*i + 3. What is l(u(z))?\nAnswer: 162*z**2 + 144*z + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10812, -10811, -10796, -10761, -10700, -10607?\n\"Answer: y**3 + y**2 - 9*y - 10805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - a + a)*(-a**2 - 3*a + 3*a) + (2 - 2 + 11*a)*(-5*a**2 + 2*a**2 + 6*a**2 + (0*a + 4*a - 3*a)*(0 + 0 - 2*a)).\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378412 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 r when three letters picked without replacement from rwrqqbpwqrrtwwbwrb?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5*q**2 + 11*q + 54. Let s(d) = -2*d**2 - 4*d - 18. Let w(c) = -3*n(c) - 8*s(c). Let g be w(-4). Suppose -9 = -g*t + 5. Solve -k + 2 = t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7*r**3 - 5*r**2 - 4*r - 2. Let k(i) = 6*i**3 - 5*i**2 - 4*i - 1. What is 6*k(o) - 5*w(o)?\nAnswer: o**3 - 5*o**2 - 4*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 75923545 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -365 + 407.6. Let j = g - 42. Which is the closest to 0? (a) j (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72802400 rounded to the nearest 100000?\nAnswer: 72800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**4 - 8*b**4 + b**4)*(1 - 2 + 2).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 34 and 27.815.\nAnswer: 61.815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2808 + 768 = 5*k. Round k to the nearest ten.\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.75 - 4.75. What is the biggest value in 0.1, t, 0, 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 53 = -1374796*q + 1374801*q, 5*m - 58 = -2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -819136840 divided by -40956842\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 20*j. Let s(z) = -7*z. Let t(b) = -5*i(b) - 14*s(b). Let c(a) = -8*a**2. Calculate t(c(v)).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**4\/3 - c**3\/6 - 5*c**2. What is the first derivative of q(p) wrt p?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -654\/7 + 93. Let y = f + 13\/14. Suppose d**2 + 0 + y*d**3 + 1\/2*d = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -0.3. Let k = -16.9123 - -28.9123. Put z, 0.3, 3\/2, k in decreasing order.\nAnswer: k, 3\/2, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13 - -1)*(-2)\/6. Suppose -b*a + 78 = -a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*h**2 + 16*h + 19*h + 17*h - 9 - 52*h in the form p*h**2 + r + o*h and give p.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 1:04 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07177 times 0.4?\nAnswer: 0.028708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(0 + 2) - -1. Let v be f - 0\/(-2) - -14. Let m = v + -5. Solve 2*o = 4 - m for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1002.9825 and -0.5459.\nAnswer: -1003.5284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 3 - 16 + 20 + 156*v + 1 to the form a + c*v and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 278 divide 407697459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*1819.\nAnswer: -7276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0*r - r + 1, 0 = -5*r - 4*j + 9. Let f(s) = 7*s + 3. Calculate the remainder when f(r) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7451712 by -27396.\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 464 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/644?\nAnswer: -3\/644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 2)*(-4 + ((-1378)\/(-169))\/2)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**3 - 8*z**2 - 11*z - 18. What is g(-5)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*f - 19*b + 23*b, -499 = -84*f + 5*b for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -30.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = q - 3 - 1, 2*q + 2*i = 8. Suppose 5*b - 524 = -q*j, 0*j - 388 = -3*j - 5*b. What is the greatest common divisor of j and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) -503402 (c) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2 = -4. Let t be (-4 + 6)*3\/h. Is 6 a factor of (6\/4)\/(t - 307\/(-152))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1767 is divided by 64?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 530?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/347698 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*g**4 - 2*g**3 = 0.\nAnswer: 0, 1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 9*s + 19. Let g be m(4). Solve 0 = -5*i + 14 - g for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 2*n - 2. Let z be s(3). Suppose 0*i = -3*j - i + z, -5*j + 2*i = -40. Let x = 0 + j. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 291, 629, 1101, 1707, 2447?\nAnswer: 3321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 559, 561, 563, 565, 567, 569?\n\"Answer: 2*o + 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**6\/80 - j**5\/24 + j**4\/6 - j**2. Let f(b) be the second derivative of w(b). Differentiate f(u) with respect to u.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 7*z - 12*z = 57, -5*u - 5*z = -55. What is the greatest common factor of 112 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -10 (b) -2 (c) 105 (d) -4 (e) -4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 2 + 221\/(-91). Which is the closest to 0.1? (a) -0.1 (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + 23. Let n = -25 + q. Let z be n + -2 - 7 - -64. Round z to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1887337.\nAnswer: 83, 22739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192406 is divided by 185?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (-3)\/15)*495\/(-198)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/53969 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -125*w + 805*w + 148*w - 60444 for w.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 173*n + 6489. Determine r(118).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 10*c**2 + 19*c + 68. Let w be m(-6). Solve -7*u + w - 42 = 0 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 619859 = 619859?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 2\/13 (c) 55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 - -2110002011?\nAnswer: 2110002201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1774 + f + 23*f**4 + 27*f**4 - 1780 to the form p*f**3 + h*f + b*f**2 + d*f**4 + j and give d.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3969*d*o**2 - 9*d - 37704*o**2 + 122 wrt d?\nAnswer: 3969*o**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 7:20 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 - 21. Differentiate -w + 14*t + 3*t + 4*t + 43 with respect to t.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3513, -28676, -97023, -230142, -449621, -777048, -1234011?\nAnswer: -1842098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1*1)\/((-3)\/(-9)). Let u be (w\/4)\/(2\/(-16)). Suppose y + 4*r - 5*r - 5 = 0, 5*r - 23 = -3*y. Is y > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85*g*m**2*n*r**2 - 2*g*n*r + g*r**2 + 11*m**2*n - 2*m**2*r**3 - 4*m**2*r wrt r.\nAnswer: 170*g*m**2*n + 2*g - 12*m**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1099208 and 3608?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**5 + 24*v**4 - 158*v**3 + 212*v**2 + 120*v - 272.\nAnswer: 2*(v - 2)**3*(v + 1)*(v + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 7*z - 3. Let a be c(-5). Solve -i - 10 = 3*q + 3*i, 2*q + 3*i = -a for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, u: 10, s: 4}. Give prob of picking 2 u.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86175 divided by 7.\nAnswer: 86175\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2274 divided by 758?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 871788 is divided by 1058.\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 45 = -5*a, -4*a - 22 = -3*t + 40. Find the third derivative of -26*j**5 + t*j**2 - 15*j**2 - 26*j**2 - 11*j**5 wrt j.\nAnswer: -2220*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = m + l - 5, m - 29 = -5*l. What is the tens digit of (-2)\/8 + 469\/m + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q + q**5 + 3*q + (3*q - 3*q - 2*q**2)*(0*q**3 + 0*q**3 - 2*q**3) + (-2*q**2 + q - q)*(-q**3 + 3*q**3 - 9*q**3) - 146*q**5 - 63*q**5 + 305*q**5.\nAnswer: 115*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 153665474 a multiple of 2187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-9))\/(-8*1\/(-4))*-10?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 45545 = -7*n - s, -2*n - 3*s + 45539 = 0. Is 118 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -249 (base 11) to base 14.\nAnswer: -171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2666, 5520, 8316, 11048, 13710, 16296?\nAnswer: 18800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**4 - z**4 + 0*z**4 + z**4 + 0*z**4 - 6*z**4 + (4*z**3 - 3*z**3 + 0*z**3)*(-2 + 2*z + 2) + (36*z + 10*z**3 - 36*z)*(z - 4*z + 4*z).\nAnswer: 9*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(104)\/(-2*sqrt(288)))**2.\nAnswer: 13\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -22780 (c) 2\/5 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 7 = -2*n + 4*n, 2*n = m + 11. Let b(d) = d**2 + 6*d. Let c be b(-6). Suppose 2*j + n*t = 47 + 5, 3*j + 2*t - 62 = c. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1173 - -5 - 1)*-100. Round j to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56447 = -409*l + 2858 for l.\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**5\/20 - 3*r**4 - 31*r**3\/3 + 59*r. Find the second derivative of g(l) wrt l.\nAnswer: -6*l - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, o: 1, z: 1, l: 2}. Give prob of picking 1 l and 1 o.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 30*k**2. Let g(z) = -6*z**2. Determine s(g(w)).\nAnswer: 1080*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 178 + -140. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9266, 18531, 27796, 37061, 46326, 55591?\nAnswer: 64856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -495111215 rounded to the nearest one hundred thousand?\nAnswer: -495100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1100011?\nAnswer: 1100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12445009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*l + 1074101 - 1074101.\nAnswer: -17*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1669508*m**3 - 4595171*m**2.\nAnswer: 10017048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**5 - k**5 + k**5 + 0*k**5 + 0*k**5 + 2*k**5 + (k**3 + 3*k - 3*k)*(-k + 2*k**2 + k) + 3*k**3 - 3*k**3 - k**5.\nAnswer: k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 24672219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -139 + 699. Let g = y + -376. List the prime factors of g.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -0*k. Suppose 0 = 19*m - 21*m + 8. Solve k = m*i + 2*d + 8, 0 = -d + 5*d + 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 15880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**6\/165 + p**5\/110 - p**4\/132 - 6*p**2. Determine q, given that c(q) = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 4. Let h be x(18). Suppose -6*a - h + 70 = 0. Find the second derivative of 6*f**5 - 6*f**5 - 4*f**5 + a*f - 4*f**5 wrt f.\nAnswer: -160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12186 - -4106697\/337. Which is greater: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 986 + -984. Solve m = -3*o - 13, -5*o = v*m + 3 + 18 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-132))\/((-710)\/3905)\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/702 and -58\/81.\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -231 + 16?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*u = -3*i + 40*u + 2743, 917 = i + 4*u. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**2. Suppose 3*i + 20 = 8*i. Let t(b) = -1447 + 1447 + i*b. Calculate t(y(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/6872 + -2047861\/34360. Let r = 60 + s. Suppose 0 = -3*w + 7*w + 4. Which is the closest to w? (a) r (b) 0 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n + 3*a = -6, -n + 5295*a = 5296*a + 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/1809 and 23\/1407?\nAnswer: 12663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (2 - (-38 + 70))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 divided by 3?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 602599*q**3*z + q*z**3 + 3*z**3 + 2*z**2 + 2*z - 121899 wrt q.\nAnswer: 1807797*q**2*z + z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/42*(-84)\/(-24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 46*c**2 + 5*c - 8. Let x(b) = -93*b**2 - 10*b + 18. Let i(o) = 9*j(o) + 4*x(o). Find the second derivative of i(f) wrt f.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -118, -266, -464, -706, -986?\nAnswer: -1298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(4\/7)*b*b\/(b*b*(b*b\/(b**(-1)*b))\/b)*b*b**(-6)*b\/(b**(-3\/5)*b)*b)**37 assuming b is positive.\nAnswer: b**(-4958\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 449385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 q, and 1 w when three letters picked without replacement from qljjjjjjjqljjwwwl.\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -717 (base 10) to base 7.\nAnswer: -2043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2337 is divided by 2044.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, g: 2, t: 2, d: 4, a: 1, o: 2}. Give prob of picking 2 g.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 84*t - 15. Let r(s) = -86*s + 13. Calculate 4*b(j) + 5*r(j).\nAnswer: -94*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 - 722.90606?\nAnswer: -722.30606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 9 = -3*p, -j - 5*p = -445. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + r = -3 + 4, 5*g - 2*r = -2. Suppose g*w + w - 12 = -3*p, 3 = -2*w + 3*p. Suppose 3*h = 12, 0*d - w*d + 57 = 3*h. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12995 is divided by 724?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4\/9)*b*b)\/b)**(2\/17)*(b*b\/b**(-23)*b)\/b**(-23) assuming b is positive.\nAnswer: b**(7507\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-119 + 314 - 101) + -2 + (18 - -5)?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/3)\/(3\/(-63)). Let o = -10 - r. Suppose u - o = -2*b + 5, -10 = -u - b. Calculate the remainder when 21 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -237 + 178. What is the common denominator of 35\/44 and ((15\/(-4))\/5)\/((-6)\/l)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3511 or 2\/9?\nAnswer: -2\/3511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s + 2*s + 0*s)*(0 - 6 + 4)*(-s**2 - 4 + 4)*(-6 - 2 + 2) to the form n*s**3 + k*s**2 + v*s + u and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 11. Let g(r) = 317*r + 8871. Let t be g(-28). Sort t, v, 2 in increasing order.\nAnswer: t, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -93 and 2.\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(2) + 2 - (-6*sqrt(5) + 0))**2.\nAnswer: 28*sqrt(5) + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 84.3 and -2.\nAnswer: -168.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 13) + -8 + 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 - -62. Suppose 61 + 32 = n*r. What is the least common multiple of r and 7?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from yyuuyyyyyuuyuuuuyu?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1\/11, -2\/7, 3\/16, -3\/4?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9696*m + 16920 = 10072*m for m.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 + 106*a**2 + 65 - 64*a**2 - 49*a**2 to v*a**3 + k*a + m + z*a**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 75641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z - 16. Let c be a(-4). Suppose c = -5*y + 3*u + 851, -5*y - 5*u = -560 - 315. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -23238, 0 in decreasing order.\nAnswer: 24, 0, -23238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 12:41 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*k + 7 = -53, -2*t = 3*k + 30. Let r be 50\/75 + 13\/t. Let x = 19 - 16.9. Which is the second biggest value? (a) x (b) 4 (c) 2 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2620)\/(-786))\/((-25)\/240).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61920, -61913, -61896, -61863, -61808, -61725?\nAnswer: -61608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -t**4\/4 + t**2\/2 - 5*t + 30. Give o(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -c - 0*c, 11 = -g + 2*c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (-5)\/(5\/2). Find the third derivative of -2*v**2 + 4*v**4 - f*v**4 - 9*v**4 - v**2 wrt v.\nAnswer: -192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 19 + (3\/(-3) - 0). Suppose 3*b = -0*b - 4*t - 25, -n = 2*b + 3*t. Let k(x) = 2*x - 2. Determine k(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.54 + 0.06. Let d = h + -8.5. Put d, 1\/9, -1\/5 in increasing order.\nAnswer: -1\/5, d, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**4\/5 + 24*n**3\/5 - 9*n**2\/5 - 96*n\/5 + 84\/5 = 0 for n.\nAnswer: -2, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 246927 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -50*1*24\/(-196)*(-63)\/(-135)?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3 + sqrt(153)\/(sqrt(18)\/sqrt(2)) + -5)**2.\nAnswer: -4*sqrt(17) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1341 - 1109. Suppose 269*w + 1155 = 274*w. Which is smaller: z or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.942 * 11623.\nAnswer: -10948.866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**2 - 1\/3*j**3 - 1\/12*j**4 + 0 + 0*j. Find the first derivative of w(q) wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177608?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 12:10 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -3 - -5) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*f + t - 16, 3*t = -2*f + 8. Let v(y) = y**3 - 8*y**2 + 5*y - 10. Let x be v(8). Suppose x = s + f*s. Solve 0*p + s = 3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 5. Let z be a*(2 - 9\/6). Suppose z*f - 2*f = -144. Calculate the highest common factor of 36 and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + 11. Let g = -20 + a. What is the third smallest value in g, -1\/3, 4\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -68, -93, -116?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.88244 - -0.08244. What is the second biggest value in -3\/43, 3, 0.5, 2\/11, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5\/3 + 10982*h**4\/3 + 5048890*h**3 + 65018382*h**2 = 0. What is h?\nAnswer: -2739, -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -124 - -123.86. What is the biggest value in 1\/2, -5, f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(510) - (sqrt(510) - sqrt(510)*-1))\/sqrt(10))\/(sqrt(12) + sqrt(36)\/sqrt(3)) + (6*(-3*(0 + sqrt(612)) - sqrt(612)))**2.\nAnswer: -sqrt(17)\/4 + 352512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i - 4. Let p be s(0). Let g be p\/10 - 112\/20. Let u(o) = o - 1. Let k(f) = f - 1. Calculate g*k(d) + 5*u(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75)\/sqrt(3)*5)\/(6*sqrt(10)\/sqrt(2)))**2.\nAnswer: 125\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(495) + sqrt(55))*-1*3)\/(sqrt(320) - ((sqrt(35) - sqrt(315)) + sqrt(35) - sqrt(35))\/sqrt(7)).\nAnswer: -6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2356, 2355, 2354, 2353, 2352, 2351?\nAnswer: 2350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -92056349*q**4 - 533*q - 288683 wrt q.\nAnswer: -1104676188*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -15*f. Let u(m) = -93*m**2 - 4. What is g(u(n))?\nAnswer: 1395*n**2 + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 8 + 2)*(-12 + 7 - 9)*(1 - 3 + 0)*(1 - 4 + 4)*(0*r + 0*r + 2*r).\nAnswer: 392*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 51 - 7. Let h be (-4)\/w - (-1)\/((-44)\/(-96)). Solve 2*d = -2*s - 12, -11 = -s + 2*s + h*d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -2\/3321435?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -8*n - 9. What is q(20)?\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27575 and 137875?\nAnswer: 137875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -4 (b) -5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2*o - 50 + 12, 0 = -p - 2*o + 5. Let v(c) = -3*c + 11. What is the remainder when v(-10) is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b - 143 = -368. Calculate the smallest common multiple of b and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h + 19. Let i be j(-7). Solve -21 = -i*c + 4*l - 3, 0 = 2*c - 3*l - 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 286 divide 11960912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7673\/660 - -9\/220. What is the common denominator of 59\/2 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/12 and -71\/5750.\nAnswer: 34500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -560*j*t**3 - 1840*j - t**3 wrt t?\nAnswer: -1680*j*t**2 - 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22.01 + -22. Let t = -121\/130 - -19\/26. Which is the nearest to 1? (a) t (b) 0 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22702167 to the power of 1\/3, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27632 is divided by 3610?\nAnswer: 2362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 305 + -307. Is t greater than 79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.1 - 1.5. Let r = o - -0.3. Let i = -0.02806 + -1.97194. Which is the smallest value? (a) i (b) -1\/7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, g: 10}. Give prob of sequence ggi.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a*((a*a**14)\/a)\/a))**49 assuming a is positive.\nAnswer: a**(-686)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2 + (760\/(-48) - -16)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 91398 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 265*y - 210 + 280*y**3 - 207*y**3 - 78*y**3 - 50*y**2.\nAnswer: -5*(y - 3)*(y - 1)*(y + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 - 5 - (-19)\/(-7). Let m = 0.06 + -2.06. Let o = 5.7 - 6. Which is the nearest to t? (a) 1\/3 (b) o (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -1292782*p + 4. Let a(i) = -7*i. Calculate j(a(z)).\nAnswer: 9049474*z + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1673431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3444 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: Sort -59.6, 33, 0.4, 0, -6, 5\/3.\nAnswer: -59.6, -6, 0, 0.4, 5\/3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(931) + sqrt(931) + -5*sqrt(931) - sqrt(931)) + -3)**2 - (sqrt(95)\/sqrt(5)*5 - sqrt(19) - (-3*sqrt(475))**2)).\nAnswer: -57540 - 492*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 6:08 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -327, -262, -211, -186, -199, -262?\n\"Answer: -2*n**3 + 5*n**2 + 64*n - 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*g + 5*g - 2*u + 5424, 3*u + 9 = 0. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 2*x**2 + 3*x + 143. Let o be 16\/(-28) - 8\/(-14). What is the tens digit of d(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(-12 - 16\/(-4)). Let x be (-8)\/(-12) - z\/(-12). Suppose 2*f + 12 = 2, -2*d + 4*f + 186 = x. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 6*a**2 + 5*a - 6. Let l(v) = v**2 - 9*v + 13. Let s be l(8). Let x be r(s). What is the units digit of 20\/x*30\/(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3357922.\nAnswer: 2, 1678961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -22, -44, -68, -94, -122, -152, -184?\n\"Answer: -m**2 - 19*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.234142 + -5?\nAnswer: -5.234142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - sqrt(168)\/sqrt(3))\/(-2*sqrt(72)).\nAnswer: sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*r + o, -4*r + o - 3*o + 10 = 0. Suppose r*q + q = 0. Solve q*i - 3*i + 12 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*j - 45*j + 229*j - 124*j**2 - 62*j - 70*j.\nAnswer: -124*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13\/5 - 14\/15. Let m(w) = 9*w - 228. Let r be m(20). Let y be (-5)\/60 - (-2)\/r. Which is the third biggest value? (a) -2 (b) g (c) 4 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 5*o**2 + 49*o + 447. Calculate h(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 6 - k + 11 + 1 - 22. Let r be g(-4). Solve b - 2*b - 3 = r for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9160\/7*x - 2\/7*x**2 - 10488200\/7.\nAnswer: -2*(x - 2290)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = q - 4. Suppose q*b + 0*b = 50. What is the greatest common divisor of 175 and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 782*u. Let q(y) = -22*y**2. Determine c(q(k)).\nAnswer: -17204*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 28 (b) 4 (c) -4 (d) 3\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 177362204 and 1916?\nAnswer: 1916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 3:33 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-10)\/8)*-1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -6*s**2 - 29*s + 52. Determine n(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*i**4 - 1194826*i - 20687897 wrt i?\nAnswer: -52*i**3 - 1194826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9268 + -55751\/6. Calculate the common denominator of -39\/17 and r.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*5 + -3 + 5)*3.\nAnswer: 6 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1784 and 446.\nAnswer: 1784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2709 and 33.\nAnswer: 29799","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**7\/14 - o**6\/15 + 171*o. Determine u so that f(u) = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1194\/5 - -236. What is the common denominator of 33\/5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 3 + -9 - 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**2*m**2 + 7148*j**2*m - 1535*j**2 - 2*j*m**2 - 2*j*m - j + 15574*m**2 - m + 5 wrt j?\nAnswer: -4*m**2 + 14296*m - 3070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**3\/3 - 6*m**2 + 2*m. What are the prime factors of i(9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-46)\/(-8)*(-6 - -10). Suppose 18*a - 10 = d*a. Let u(x) = -2*x + 3. Let t be u(0). Sort t, a, 5.\nAnswer: a, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x + 4. Let l be g(4). Let q = -4 + l. Let w = 17 - 12. Calculate the highest common divisor of w and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**2 + 93*f + 40. Let k(l) = -l**2 - 32*l - 14. What is -17*k(j) - 6*m(j)?\nAnswer: -j**2 - 14*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1711 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -511d + 4?\nAnswer: -5119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91878986, -183757975, -275636964, -367515953, -459394942, -551273931?\nAnswer: -643152920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/73, 3, 6.1, 1 in ascending order.\nAnswer: 2\/73, 1, 3, 6.1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 8 - 4 = 0. Let w be (21\/14)\/(3\/y). Suppose l = 2*u - 6*u + 11, 2*l = -2. Which is the biggest value? (a) w (b) u (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -928 - -933. Which is the smallest value? (a) q (b) 120 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 3)*5\/25?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*w**3 + 9*w**3 - 56*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20353 (base 15) to base 10.\nAnswer: 102003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 54548546 minus -9087?\nAnswer: 54557633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/((-14)\/(-2)))\/(((-6)\/(-2))\/12)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5907*v**2. Let l(a) = -34*a. Calculate l(z(j)).\nAnswer: -200838*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(-2\/21))**(1\/6))**(-25))**47)**(-3\/4) assuming l is positive.\nAnswer: l**(-1175\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8057, -33322, -75441, -134414, -210241?\nAnswer: -302922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 5. Let d be x(7). What is the units digit of 1*((48\/4 - 2) + d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 556170 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1723832 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.725 millilitres to litres.\nAnswer: 0.009725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeff when four letters picked without replacement from {f: 7, a: 1, e: 6}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -133 + 289. Suppose 5*a = 381 - b. Calculate the highest common factor of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 20 - 84 = 0. Let p be ((-18)\/u)\/((-42)\/8). Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in decades?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*a - 31*a + 20. Find the second derivative of 22*k**4 - 11*k - 58*k**4 + 14*k**a wrt k.\nAnswer: -264*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 30564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/5 (b) 5 (c) -2\/11 (d) -2696\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + 5 + 2 + 10. Solve 2*m + 3*u = 2*u - 4, 3*m + 3*u + x = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/4 - 44461*g\/2.\nAnswer: -g*(g + 88922)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.09, 3 in increasing order.\nAnswer: -4, -0.09, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + (-2*(sqrt(72) + sqrt(72)*1 - sqrt(72)) - sqrt(72)))**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/87 and -131\/116088?\nAnswer: 3366552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/30 - (18235\/75 + 2). Let i = 246 + w. Solve 5*l - i = 24, m = 3*l - 19 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -44? (a) 0.3 (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 116 + -112. Let y(t) = 30 - 14 - 12 + 4*t + m*t. Give y(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 2*a + 4*n, n = -4*a + 114 - 37. Let h(p) = 70*p**2 - 3. Let y be h(-2). Suppose 0 = 6*s - 149 - y. What is the remainder when s is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s - 2 - 8 + 0*s + 0*s + s**2. What is b(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2940, -2945, -2950, -2955?\n\"Answer: -5*h - 2935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 11*b**2 - 12*b + 1. Let o be k(2). Suppose 5*r - j = 5, -5*r + 3*r = -5*j + o. Sort 5, r, -21, 3 in increasing order.\nAnswer: -21, r, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -848, -6208, -20356, -47558, -92080, -158188, -250148, -372226?\nAnswer: -528688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 223 - 112. Calculate the remainder when b is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3570 and 1050?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -13*q - 34*q + 12*q**2 - 1289 + 1272 + q**3. Let n be u(-15). Solve 0 = -7*x + 2*x - f - n, 3*f = -5*x - 19 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 4. Let i be (-66)\/(-42) - 8\/o. Let p = -0.6 - -1. Which is the closest to i? (a) 3 (b) p (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w**2 + w**2 - 3*w**2 + (-3*w + w - w)*(-4*w + 5*w - 2*w) + 124832 - 1982*w**2 + 599*w**2 - 124832 in the form h*w**2 + p + o*w and give h.\nAnswer: -1378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3452 - 0.5.\nAnswer: -0.1548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 83785844 a multiple of 3569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 2, -0.5, 8, -6, 5535 in increasing order.\nAnswer: -6, -0.5, 3\/7, 2, 8, 5535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 36 = -5*a - 51, 47 = -2*f + a. Let j = f - -33. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l*l*l\/l**(-10\/7)))\/l*l*l*l*l**(1\/4))\/(((l**(4\/3)\/l*l)\/l)\/(l*l*l**(-15\/7))))**45)**(2\/31) assuming l is positive.\nAnswer: l**(-2085\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 7*r - 1. Let q(x) = 13*x - 2. Let i(c) = 11*p(c) - 6*q(c). Let j be i(0). Suppose -4*k + 12 = -4*v, 12 = -v + 4*v + 4*k. Solve u + v*u = -j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 18*g**2 + 3*g + 3. Let c be b(5). Let t = c - 234. Suppose -4*w - 2*r = -t, -5*w = -2*r - 2*r - 286. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 416*o + 34 = 414*o, 4*o = 16*z - 56 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36776\/303 - 109\/202. Let f = h - 120. Calculate the common denominator of f and 107\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -31, -47, -65, -85?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (0 + 716\/(-2)). Suppose -1522 + 6242 = -40*y. Let t = f + y. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*q**2 + 3*q**2 + 7*q**2)*(2 + 6 + 0) to i*q + b + c*q**2 and give c.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.312+-0.3\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-15) + -2 + 6\/30?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (2 + 2 + 3 + -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**2 + 1\/3*d**3 + 1 - 4*d. Let k be z(4). Solve 2*v - 28 = -4*j, j + k*j = 25 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83654814?\nAnswer: 2, 3, 13942469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-15)*-1*3. Let t(w) = w**2 - w + 1. Let k(n) be the second derivative of 0 + 13*n - 1\/2*n**4 + n**3 - 5\/2*n**2. Calculate m*k(i) + 4*t(i).\nAnswer: -2*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.051769267*2\nAnswer: 0.103538534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 8\/9*v**2 + 32 - 10\/9*v**3 + 2\/9*v**4 + 2\/3*v. Let f(t) = 0. Calculate t.\nAnswer: -1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 682 is divided by 24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n + 0*n - n)*(756*n - 4781 + 4781) as p*n**2 + j*n + k and give p.\nAnswer: 756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13104760, 2\/5, 8, -0.4, 1\/6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(1296) + 2*sqrt(1296)))\/(sqrt(108) + (sqrt(108) - sqrt(108)*-2 - sqrt(108))*-3))**2.\nAnswer: 108\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5 + -2.5. Let c = a + 1.9. Let j = -4.1 - c. Which is greater: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 + 68*t**2 + 2256*t - 40320.\nAnswer: -4*(t - 21)*(t - 20)*(t + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 14 = -2*m + 2*j, -2*m - 3*j = -11. Let y(g) = g**3 + g + 6. Let h be 3 + 2\/((-2)\/3). Calculate the smallest common multiple of m and y(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21328 and 10144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2 - 329*l - 1679. Determine a(-5).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 41 (b) 2\/3 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*i**3 + 2*i - 2*i**2 + 20*i**3 - 35*i**3 - i**4 as r*i + m*i**4 + l*i**3 + o*i**2 + c and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 276?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 2. Let o be f(4). Let b(y) = -8*y + 1. Let q(t) = 9*t - 2. Let a(x) = -4*b(x) - 3*q(x). Is 15 a factor of a(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/((q\/q**(-8))\/q*q)*q*q*q)\/(q\/((((q*q**(-1)*q*q*q)\/q)\/q)\/q))*q**(-7)\/q**(-2\/7)*((q**(-2\/7))**(-21))**(-9) assuming q is positive.\nAnswer: q**(-460\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 4*b - 4992, 9*b = 5*b + 2*d + 4982. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (4 - (21 - 27)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**6\/120 - s**5\/60 + s**4\/6 - 2000*s**3 + 26*s**2. Let d be i(0). What is d rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21768029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 6. Let q be u(4). Let g(v) = -3*v**2 - 6*v**2 + 2*v**q + v**2. Let r(j) = -3*j**2 - 43953*j + 43953*j. Determine r(g(d)).\nAnswer: -108*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 13*p**2 + 2*p + 38. Let a be v(-13). Suppose 20 = -4*g + a. Is 574*(-1)\/1*1\/g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/(24\/80).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*(m\/(m\/m**(-1\/2))*m)\/m)\/m*m**(2\/13))\/(m**(-8)*m**(-1\/8)))**(-28))**(-7\/5) assuming m is positive.\nAnswer: m**(39641\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 763803 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -112766299 < -112766299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 1449\/(-644)*(-2)\/4 - 7608\/64?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - -2.499085.\nAnswer: 2.799085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -g - 2*g. Suppose -g*f = -20, 4*r - 5*r - 26 = -5*f. What is the units digit of (4\/(-10))\/(r\/15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(63) + sqrt(7) - (sqrt(77)*-2)\/sqrt(11)) + (sqrt(7) - (0 + sqrt(7))) + 3 + 4)**2 + -1.\nAnswer: 120*sqrt(7) + 351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23674 + 23840. What is the remainder when 1512 is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -107541893875 and -18.9.\nAnswer: -107541893893.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1212000100110210 + 10?\nAnswer: -1212000100110200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + x**2 + 0*x**2)*(6*x**3 - 4*x**3 - 4*x**3) - 34*x**5 + 31*x**5 - 40*x**5 + 2*x**5 - x**3 + x**3.\nAnswer: -43*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 382, 377, 368, 355, 338, 317, 292?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 0*g**2 + 0*g**2)*(2*g**2 - 4*g**2 + g**2).\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 685.6262 nanograms?\nAnswer: 0.0000000000006856262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -8581.2071 to the nearest 100.\nAnswer: -8600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -645566561?\nAnswer: 645566556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 10:12 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.5 - 4. Let l = 0.32 + -0.32. What is the smallest value in -2, x, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-3) + 9\/(-15). Let k(d) be the first derivative of 1\/10*d**4 + 2\/25*d**5 + 0*d - o*d**6 + 0*d**2 + 4 - 2\/15*d**3. Solve k(c) = 0 for c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 16) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -10. Let o(q) = q - 13. Let h(x) = 3*f(x) - 3*o(x). Determine h(9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 3*26)*1. Let m be (-287)\/(-123) + (-1)\/3. Is (2\/2 - m)*f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, -8, -1.\nAnswer: -8, -5, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2021 + 66?\nAnswer: 2087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.269 (b) 13 (c) -1 (d) -4 (e) -0.2 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 147157384.\nAnswer: -588629536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -5 (c) -1\/8 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 4 (c) 0.2 (d) -10 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (7 - 12) - 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -158.7 - -159. Which is the second smallest value? (a) 0 (b) w (c) 3 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + (24 - ((-31 - -42) + -98)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2481, 454, -1583, -3630, -5687?\n\"Answer: -5*w**2 - 2012*w + 4498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -56 + -4?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15 (b) -0.06 (c) -2\/9 (d) 0.5 (e) -6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 0, -17, -2 in decreasing order.\nAnswer: 0, -2, -17, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n + 1. Let z(c) = -c - 1. Let v(a) = -x(a) - z(a). Suppose -2*o - 5*d - 7 = 0, 2*o - 12*d + 8*d - 20 = 0. Does 15 divide v(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 3*b + 26, 0*b + b - 26 = -3*n. Let w be (1 + 0)\/((-1)\/(-3)). Suppose -4*l = -n*l + 2*o + 130, -w*l + o = -98. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.001 less than or equal to -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 16. Determine d, given that d**3 - 14*d**4 + 6*d**4 - i*d**3 = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-35)*m**8*m**(9\/5)*m\/((m**(-14)*m)\/m))**(-25) assuming m is positive.\nAnswer: m**230","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1094*i**4*r - 8*i**3*m*r**3 + 4*i**2*m*r**3 - 23*i*r**3 + 11*m*r**3 + 2*m*r**2 wrt i.\nAnswer: -26256*i*r - 48*m*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680 is divided by (2*4\/(8\/(-3)))\/((-30)\/3390).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -142064045?\nAnswer: 1\/142064045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 3*n**2\/2 - 14*n + 7577. Let u(g) = -156*g. Give u(d(l)).\nAnswer: -468*l + 2184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -975.223?\nAnswer: 975.323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 7*d**2 + 18*d - 3. Let v be w(-9). Sort -2, 4, 1, v in ascending order.\nAnswer: v, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 2959*d + 95037. What is x(32)?\nAnswer: 1373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101028 = -88*t + 76*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 18 + (1005 - 1007)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3392774?\nAnswer: 2, 7, 11, 22031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert d (base 14) to base 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3115*l + 39198 + 178852 for l.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/9 greater than or equal to -4732?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*u - 28. What is the remainder when 165 is divided by u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346824660 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - i**2 + i + 13. Let f be w(0). Let h = f - 9. What is the least common multiple of h and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 252203, 252200, 252199, 252200, 252203, 252208?\nAnswer: 252215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z + 3*z**2 + z - 2)*(-162 + 4 - 1).\nAnswer: -477*z**2 - 159*z + 318","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 12. Put 1, -4, z in descending order.\nAnswer: 1, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) - -2*sqrt(1620))\/(1*sqrt(225)).\nAnswer: 13*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*c + 3775 = 13086, -3*g + 5583 = 3*c. Suppose -u + 624 = -b, -2*u + g = u + 5*b. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - (-49 + 13) - 25) + -55\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -1\/12, 112, 0.1, -4, -0.5?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -164 - 105 + 10*n + 304 to the form d + b*n and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -28*t + 103. Suppose -2*n = -4*g - 0*n - 38, -3*n = -3*g - 27. List the prime factors of i(g).\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2151 = g - 2*z, -3*g + 5*z + 6463 = 0. Suppose 4*r = 5860 - g. What are the prime factors of r?\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(-22)\/(-77)*-7. Let i(f) = 2*f + 3 + 3 + 3*f. Let n(u) = 10*u + 12. Let c(t) = d*n(t) + 7*i(t). Give c(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/39 and 27\/13.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15867468.\nAnswer: 2, 3, 146921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -11. What is the tens digit of 3 - (z - -1)*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.088 - -0.138. Sort 0.4, 2\/3, y in ascending order.\nAnswer: y, 0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -6 + 1 + -13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 39381*w + 748530. What is n(-19)?\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/2816 and -43\/65472.\nAnswer: 261888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 155 - 151. Let q = 37 - 22. Let n be -3*10\/q + 4. Solve -n*h = -h + a for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -22123 from -0.072.\nAnswer: 22122.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10364175574 - -4191968690. Let x = 444407005655\/72 + h. Let t = x + -112641. Find the common denominator of t and -19\/4.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -1 - (6 + -20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 210184 (base 9) in base 8?\nAnswer: 363620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 5*d - d. Let i = -13 - d. Suppose 4*x + 3*r = 2*r + 32, -i*x + 33 = 3*r. Calculate the least common multiple of 4 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -2. Let l = 268 - 232. Let n be (-16)\/l*((-35)\/10 + 5). Put 2, -3, t, n in ascending order.\nAnswer: -3, n, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59661?\nAnswer: 3, 7, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j - 6. Let k be t(-3). Let g = 11 + k. What is the second derivative of -3*m**3 - 168*m**2 + g*m + 168*m**2 wrt m?\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 175*r + 4. Let q(s) = -1. Give -a(v) - 4*q(v).\nAnswer: -175*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -8*w + 4*o, -815*o + 817*o + 1 = -5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/((-660)\/(-48)*(-6)\/45).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 = -3*f + 6*f + 29, -55*d + 293 = f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r + 2. Let n be j(2). Suppose 2*y - 5*u = 7*y - n, -u = -2*y + 16. Suppose 4*l - 41 = -4*p - l, -2*l + y = -p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2690606 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/(3\/6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 587501 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(95) + ((sqrt(95)*1 + sqrt(95))*-2 - sqrt(95)))*-5)\/(sqrt(5)*2*-6 + 3*sqrt(500) + sqrt(5)).\nAnswer: 80*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*c - 24 = 0, 2*c - 3 = 3*c. Let m(r) = 25*r + 11. Is m(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (539 - 502)\/(666\/1062)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 71107190 divided by 184694\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 + x - 2*x - 4 + 4 + (0*x + 2*x - x)*(0 - 4 + 2) + 6*x - 2*x - 3*x - 2*x + 2*x + x - 203 + 48*x - 205 + 414 to the form c*x + l and give c.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + -3 - (-5 + 6)*-13. Suppose 2*b + 2*b + 3*z = g, -2*b + 6 = 2*z. Solve 2*i - 1 = b for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c = 53*c - 1407. Suppose 9*g - 4*g + 5*x = 35, -4*g + 3*x = 0. Calculate the greatest common factor of c and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003477447002 to 6 dps.\nAnswer: -0.000348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-5)*2\/(-4). Let f = 1.96 - -0.04. What is the second smallest value in f, c, -2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32039048.7 to the nearest one thousand.\nAnswer: -32039000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -218240 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1199986 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/328 and -83\/492.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -1\/6, -4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 904873604*z**3 + 981169610*z wrt z.\nAnswer: 5429241624*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, g: 3, b: 2, x: 1, v: 4}. Give prob of sequence hg.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 886\/1095 or 0?\nAnswer: 886\/1095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 90, -1, 0.07, 15.\nAnswer: -1, 0.07, 2\/7, 15, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16759, 16761, 16765, 16771, 16779, 16789?\nAnswer: 16801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (35 - 1) + (-24)\/6. Let a = j + -23. What is the smallest common multiple of 3 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.53*-0.099.\nAnswer: 0.05247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**3 - 6*b**2 - b. Let i be o(-3). Put -3, 2, i, 0 in increasing order.\nAnswer: -3, 0, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 2*y = -273175, 375*u + 39025 = 376*u - 4*y. Is 25 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 + 129*o - 9. Let r be y(63). Let v(h) = h**3 + 5*h**2 - h. Let s be v(-4). Calculate the highest common factor of s and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283974 + 283974 - 2*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*y + 60007021 - 266517480 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 15*f**2 + 108*f + 23. Let j be v(-7). Solve -3*i - 27 = 4*m, 3*m - j*m - 12 = 3*i for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/6 - (-123)\/9. Let a = -18 + r. Let d(t) = -t**3 - 5*t**2 + 2*t + 5. Give d(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**3\/3 + 3*w**2 - 7*w. What is the tens digit of g(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 185462\/(-201) + 5\/(-15). Let v = d - -923. Let u = -79\/402 - v. What is the nearest to 1 in -2, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 24 = -0*o. What is the remainder when 16 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25376*w - 25342*w + 748 = 0 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((-1*sqrt(700) + -3 + (sqrt(700) - (-2 + -2*sqrt(700))) + -1*sqrt(700) + 1 + 0)*-1)**2 + 5).\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.1, -5.8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 116?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z + 3*z - 14*z + (3 - 3 - 1)*(z - 3*z + 3*z) + z + 2 - 2 + z + z - z + (1 - 2 + 2)*(5*z - 2*z - 2*z)*(-97 + 100 + 50).\nAnswer: 41*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - (1 - 5))*(-16)\/32. Which is the nearest to 0? (a) -0.2 (b) m (c) 0 (d) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 125502 + -46815. List the prime factors of l.\nAnswer: 3, 7, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*q = -158*q + 1632. Which is bigger: 273 or q?\nAnswer: 273","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((27012\/(-1))\/3)\/((-20)\/3210). Let z = 454858 + d. What is z rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39 - (5 - 46)) + -7 + (-1 - 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i - 4. Let z be (0 - 2) + (-8)\/(-4). Determine n(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -205 (base 6) to base 5.\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 34*d = 28, 20*m - 42*m - 2*d = -20*m + 10 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9.657 and -119049424?\nAnswer: 119049414.343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + -1)\/((-4)\/16). Suppose -y*h + 10 = -c, -3*h + 14 = -5*c + c. Suppose -4 = -0*d - 2*d. Solve -d*j + h = -2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/12*(-1)\/(-4). Let x(w) = w**3 + 4*w**2 + 3. Let p be x(-4). Let y be (1*(-3)\/p)\/(-1). Which is smaller: y or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 263127994 to the power of 1\/2, to the nearest integer?\nAnswer: 16221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -80b64 - 4a?\nAnswer: -80bb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2517*q = 2527*q + 10. Let p(y) = 41*y**3 - y**2 - 2*y. Determine p(q).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/12)\/((-16)\/(-24)). Suppose 20 = 2*g - l*t, -5*g + 3*t = 5*t - 57. Let u = g + 7. Calculate the least common multiple of u and 3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 9:30 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**7\/1260 + 5*i**4\/4 - 2*i - 17. Let t(c) be the third derivative of a(c). Let m(j) = 68*j**2. Give m(t(d)).\nAnswer: 272*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3006?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 1. Let r(k) = -16*k**3 - 16*k**2 + 20*k - 28. Let q(d) = 20*n(d) - r(d). Let q(w) = 0. What is w?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -m - 28600531 + 28600602, 2 = -4*m + 14 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, -4221, -5, 3, -4 in descending order.\nAnswer: 33, 3, -4, -5, -4221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04130568 less than -55872?\nAnswer: -55871.95869432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n - 2*n + 5*n - 6*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9\/16 of a day?\nAnswer: 48600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.34 + -0.3. Let y = k - 3.04. Let q be 6\/(-15)*(-5)\/(-6). Which is the third smallest value? (a) y (b) q (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4808, -4806, -4804, -4802, -4800, -4798?\n\"Answer: 2*l - 4810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*a - 106, 2*a - k - 114 = -0*a. Suppose -5*u = y - a, 36 = -3*y + 4*y - 5*u. Suppose 3*b + 13 = y. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2056149 + -14915\nAnswer: 2041234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*f = -104, -5*y - 127 = -y + 5*f. Let i = 7 - y. Calculate the highest common divisor of 75 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2, 0.3, 0, 11\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133333023 (base 4) to base 14.\nAnswer: 35a67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l. Suppose -36*f + 6 = -33*f. Let b(o) = 2*o**2 - 7*o**2 - o**f. Calculate b(v(z)).\nAnswer: -54*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/4 of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -47, -2\/5, -5\/2, 0.026, 2\/19?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2630+0.3\nAnswer: 2630.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -768*h + 1547 = -270*h + 5531 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (66 - -1)\/(6 - 2). Let i = 33\/2 - l. Suppose -82*b + 136*b + 387 - 3302 = -211*b. What is the smallest value in 1, i, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 + 91. Let r = -32 + q. Suppose 2*a = -s + 16, 3*a + 10 = 3*s - 11. What is the remainder when r is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*0*(-2)\/(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -23301, -46619, -69937?\n\"Answer: -23318*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*y + 4 = 0, 5*n - 11 = y + 1. Let p(x) = 0 - 4 + n*x**2 - x - 3*x**2 + 2*x**2. Let r be p(3). Solve -v - 7 = -r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 8*g**2 - 10*g - 2. Let n(l) = 3*l**3 - 22*l**2 + 19*l - 93. Let z be n(7). Determine d(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h - 250. Calculate w(-87).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-3 + -1)) + -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z - 1. Let g be s(-1). Let c be 0\/(3 - 6 - g). Solve -3*a - 3*o - 6 = c, -3*a = -2*o - 5 + 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 5:50 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 61 = 5*w + 170, -5*p = -5. Suppose 2*h + 14 = -o, -7*h + 2*h + 75 = -3*o. Let s = o - w. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58.1 - -51.67. Let i = n + 6.4. Which is the closest to -1? (a) i (b) -4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 20 + 4 + -1 + (27 - 26).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 43*t**2 - 170*t + 740. What is d(-38)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.3 + 0.3. Let d = -3.1 + l. Let z = d + 6.8. Round z to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 95*c - 143. Let m(y) = 94*y - 142. Let v(d) = 3*m(d) - 4*u(d). Differentiate v(r) with respect to r.\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -7, 28 in increasing order.\nAnswer: -7, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 13 = 8*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z + 6. Let g be y(2). Suppose 3*n = -g*n + 10. Find the third derivative of 3*r**5 + 5*r**5 + 4*r**5 + 16*r**n wrt r.\nAnswer: 720*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ftemiig. Give prob of picking 1 e, 2 i, and 1 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -33 - 447?\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7176)\/(-2704) - ((-10)\/(-4) - 0).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-1236)\/(-22) + (-4)\/22. Suppose -h*f = -61*f + 92. List the prime factors of f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5618*j + 10960*j - 4763*j.\nAnswer: 579*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.4, -0.2534, 5?\nAnswer: -0.2534","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234594?\nAnswer: 2, 3, 13033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 45*v - 318. Calculate x(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - 0\/(-2 - 1). Suppose 0 = -2*z - c*z + 5*j + 7, -3*j + 3 = 0. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*s**5 + 3*s**2 + 2*s**2 + 1296*s**4 + 36*s - 1301*s**4 - 25*s**5 wrt s.\nAnswer: -840*s**2 - 120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13*(-8)\/(-208))\/(70\/49*14\/(-8)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*o - 2. Let j(b) = -4*b - 2. Let n be j(o). Let f = 23 - n. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -15 + (2 + -6 - -11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 13*l**3 + 5*l**2 - 10*l + 44. Let z(t) = -13*t**3 - 6*t**2 + 12*t - 47. Give 6*x(i) + 5*z(i).\nAnswer: 13*i**3 + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*s - 0*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -57 (c) -64\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -81 + 213 - z**2 + 227 - 36 + 10 as y*z + t + d*z**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 35*x**2 - 456*x + 12. Let m be h(13). Sort 0, -15, -4, 1, m in increasing order.\nAnswer: -15, -4, m, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**6\/40 - u**5\/30 - u**4\/12 + u**3\/3 + 6*u**2. Let i(r) = -13*r**3 + 8*r**2 + 9*r - 9. What is -2*i(o) - 9*t(o)?\nAnswer: -o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 358, 1410, 3164, 5620, 8778?\n\"Answer: 351*z**2 - z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-455)\/(-15))\/((-1)\/(-9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2560) + sqrt(2560) + (-4*sqrt(2560) - sqrt(2560)) + sqrt(2560) + sqrt(2560))\/((sqrt(8)*3 + sqrt(8))*-1).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4\/5 (b) -0.25 (c) 5 (d) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 + 8 - -11) + 0 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -14*x + 17*x + 14, x - 4 = -3*m. Let t be (-3230)\/700*4 - m\/14. Which is bigger: -19 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 79. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 23*t**3 - 2*t**2 - 3*t - 2. Let i(m) = -m**3 + 4*m**2 - m + 3. Let z be i(4). Determine l(z).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**4 - 2*m - m + 40*m**2 - 2*m**3 + 0*m**3 - 43*m**2 to the form g*m**2 + h*m + k*m**4 + d*m**3 + o and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f**2 + 221848*f - 267779 wrt f.\nAnswer: -2*f + 221848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-6*(1 + sqrt(17))*2)**2*-2*-3 + 1.\nAnswer: 15552*sqrt(17) + 139969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t + 3. Let h(l) = -1. Let y be 1\/(30\/(-9) + 3). Let w(u) = y*h(u) - x(u). Let n(a) = -2*a**2. Give n(w(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 18399e?\nAnswer: 1839a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (2 + 1 + -6). Suppose 3*g + 25886 + 40117 = z. Let a be (0 - -2) + g - (4 - 3). Round a to the nearest one thousand.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/20 and -89\/52.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**4 + 2*b**3 + 20 - 2*b**2 - 52 - 3*b + 26 to the form r*b**4 + y*b + u*b**2 + h*b**3 + l and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445*f - 10 = -447*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 773\/1820 - -1\/260. What is the nearest to k in -0.038, 5, -0.2, 1?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112574 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 305 (b) -3\/7 (c) 2\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 1. Let o(f) = -10*f - 11. Let t(d) = -22*k(d) - 2*o(d). Let p(c) be the first derivative of 2*c**3\/3 - 6. What is p(t(m))?\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/11 or 248207\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 1:25 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l = 14*l - 4*c + 11, 4*l = -c + 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.313 in 29, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*78441444\nAnswer: -23532433.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(5\/2)\/c)*c*c**6)**(24\/7)*c**1*c\/((c*c*c**(-4\/3)*c)\/c*c)*(c*c**1)\/c*c**(5\/4)*c assuming c is positive.\nAnswer: c**(2173\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u**3 - 7*u**2 - 66*u + 136. Calculate g(2).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 8:12 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 25\/2 of a hour?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-14))\/4 - 44\/(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/15 + 12\/(-10). Let z be (4 + -5)*(v - -1). Let p = -25 - -26. Which is smaller: p or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/59 - -63\/118. Let b = 10 + -6. Let h be (6 + -5)\/(2\/b). Is g at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 273917926 to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 3*g + 13, -c - 1 = -g + 4. Let d be ((-124)\/6)\/(c\/6). Suppose -4*i = 3*f - d, 0 = f - 3*f + 10. Solve w = -i*u - w + 26, -3*w = -9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15919, -4, -0.3, -1 in ascending order.\nAnswer: -15919, -4, -1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -21226765 * -5\nAnswer: 106133825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -92 by -80581.\nAnswer: 92\/80581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*d - 17 = 32 + 217 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -7. Let x be (8\/(-2))\/(14\/(-7)). Let l be 1\/x + 5\/(-30). Is l >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.39 + 0.01. Let p be (2 + -1)*0*(-1)\/1. Which is the biggest value? (a) p (b) -0.1 (c) v (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/12 and 97\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -6 + 2. What is the smallest common multiple of g and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, -100, -12, 112, 272, 468?\nAnswer: 700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 7*k - 4*k)*(4*k + 0*k - 5*k) + 2*k**2 - 8*k**2 - 20*k**2 + (3 - k - 5 + 0)*((2 - 5 + 2)*(-k + 0*k + 0*k) + k + 4*k - 4*k).\nAnswer: -33*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6971 - 209201\/30. Find the common denominator of r and 113\/288.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 612740710*c**4*s + 5*c**2*s + 2*c**2 - 31*c*s - s + 2931 wrt c?\nAnswer: 14705777040*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/272 and -8 + 3804\/(-1296) - -11?\nAnswer: 7344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/45 + 2279\/(-5). Let b = a + 632. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x - 16. What are the prime factors of l(23)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 25*u - 24*u. Factor 3*g**3 + 126*g + 33*g**2 - 111*g + 47 + 90*g + u.\nAnswer: 3*(g + 1)*(g + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 224\/4)\/((-36)\/(-27) + -1). What is the closest to -4 in -5, t, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t\/(t*t**(-20))*t)\/t*(t**(1\/5)*t)\/t*t\/(t\/(t\/t**17))*t**(-20))**(-1\/40) assuming t is positive.\nAnswer: t**(37\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g = 17*g - 15. Sort 0, -3, g, 8.\nAnswer: -3, 0, g, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 42*r + 409. Calculate i(51).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30106.6 + -30107. Put 4\/7, 1\/7, 10\/7, t, 0 in decreasing order.\nAnswer: 10\/7, 4\/7, 1\/7, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 157*f = -152*f + 24, -43*f - 117 = 4*k. Find s such that 32\/9 - 14\/9*s**4 - 2\/9*s**5 - 16\/9*s**2 - 32\/9*s**k + 32\/9*s = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -2, 2\/13, 0.3, 6\/11, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22424, -179393, -605436, -1435091, -2802896, -4843389, -7691108, -11480591?\n\"Answer: -22423*j**3 + j**2 - 11*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85\/18 - 56\/9. What is the closest to -4 in i, -6, 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(243) - sqrt(243)) + sqrt(243) - sqrt(243)) + -5)**2 + -4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135*0.2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 8*x - 313. Calculate p(8).\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - a = -2656, 0*b - 5*a = -4*b + 2680. Let v be 4\/(-1) + -3*(-17)\/3. Suppose v*w - b = 8*w. What is the highest common factor of w and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 425\/7 - 61. Let r = -27.8 - -28. Which is the closest to s? (a) r (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1575072010 divided by -315014402.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 65*i - 646. Let d be u(10). Let t be -1 + 2 + -5 + (3 - -1). Factor -2\/9*q**d + t + 0*q + 0*q**2 + 2\/3*q**3.\nAnswer: -2*q**3*(q - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*b + 535 = 0, -m + 3*m + 198 = 2*b. Does m = -105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -34\/3, -7797, 1\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 - (-10 - -7 - -3). Solve -3*a + 4*p = -0*a - j, 0 = -2*a + 4*p + 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*w**3 + 5580*w + 363\/2*w**2 + 5400.\nAnswer: 3*(w + 1)*(w + 60)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 147*t**2*z + 541*t**2 + 16*t*z + 5*t - 2*z + 8 wrt t.\nAnswer: 294*z + 1082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11c67 (base 14) to base 4.\nAnswer: -22221103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-72)*5 + 38\/456?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 + -42. Find the third derivative of u*v**2 + 5*v**2 - 2*v**2 + 14*v**3 wrt v.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 a factor of 57054285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5404 rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4150, -3\/5, 0.1, 1\/3, 2\/3, -1\/2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of z**3 + 836*z**2 + 3106*z?\nAnswer: 6*z + 1672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50229 + -50226.5773. What is p rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73554458?\nAnswer: 2, 36777229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 6:11 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 3:18 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 68, 3, 0, 5 in descending order.\nAnswer: 68, 5, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -433*u**3 + 292576*u - 292576*u.\nAnswer: -433*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5740\/168 + -35 - (-1168)\/(-96)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2020364, 2020369, 2020384, 2020415, 2020468, 2020549?\nAnswer: 2020664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -14, -8443124 in ascending order.\nAnswer: -8443124, -14, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - -1. Let h be 112\/42*(1 - -8). Calculate the lowest common multiple of l and 8*-5*h\/(-60).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 830*a**5 - 10*a**3 + 10338*a wrt a.\nAnswer: 16600*a**3 - 60*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13676 + -54695\/4. Which is the smallest value? (a) -0.2 (b) -1\/3 (c) x (d) 10 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1.5 (b) 105 (c) -0.04541\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3) - (-670)\/(-6). Calculate the common denominator of (-8)\/(-28) - 178\/t and (-3 - -2)*(-111)\/(-1998).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v. Let l(p) = -2 + 0 - 3*p**2 + 2*p + 4*p**2. Let z(q) = -6*q**2 - 11*q + 11. Let s(t) = -11*l(t) - 2*z(t). Calculate s(r(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -435 - -530. Calculate the greatest common divisor of 133 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2\/7))**21*(x*x*x**(-2)*x*x*x)**(3\/2) assuming x is positive.\nAnswer: x**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vwhvwgvhwwwwvgh. What is prob of picking 1 v and 2 h?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*n = 284*n - 5962 + 842 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 15*p + 31. Let f be j(-13). Let k**f - 19*k - k**4 + 5*k**2 - 2*k**3 + 17*k - k**3 = 0. What is k?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2890275 is divided by 2890252?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*h - 10 = 0, -3*o - 3*h - 93 = 0. Let p be 75 - -3*4\/(-6). Let c = p + o. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + sqrt(19) + 2 + 5*(sqrt(19) + 0)).\nAnswer: -6*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 6. Suppose 3*f - t*l = 50 - 13, 3*l = 3. What is the greatest common divisor of 91 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*((sqrt(605) + 1 - sqrt(605)) + 2 - sqrt(605)) + -1 - -5*(1*(0 + sqrt(605)) - sqrt(605))*6)*3)**2.\nAnswer: -5940*sqrt(5) + 49905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wozt when four letters picked without replacement from wzmwzmtvo.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -30*((-262)\/(-1179) - (-4)\/9)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4*l + 16. Let z be c(-4). Suppose z*u = u - 5*m - 19, 5*u - 14 = -2*m. Solve 41 = -5*v + u*a, 0*a + 5*a - 15 = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 272 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/6480 and -20\/58077.\nAnswer: 4646160","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -4. Let q(s) = -s**3 + 8*s**2 + 7. Let a be q(m). Let j be ((-4)\/10)\/((-3)\/60). Calculate the greatest common divisor of a and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/32)\/(54\/1152)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 = -12*d - 57. Let r(o) = -o**3 + 12*o**2 - 10. What is r(d)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71 - -38. Let l = 364 + a. Let d = 463 - l. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-8) + 7\/(-4). Suppose 33*z - 233 - 361 = 0. Sort 5, z, q, 1 in ascending order.\nAnswer: q, 1, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.08039384 to 2 decimal places.\nAnswer: -2.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162963, -161972, -160979, -159984, -158987, -157988?\nAnswer: -156987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 231 and -7.\nAnswer: -1617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5 + 1*sqrt(2736) - sqrt(2736))*3)**2 + (sqrt(76) + 2 + 4 - (sqrt(76) + 4 + sqrt(76) + 0 + sqrt(76)))**2.\nAnswer: -16*sqrt(19) + 3908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 272656508 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**4\/4 + 199635*t**3\/2 - 7973620865*t**2\/4 + 27889409400*t - 25896104000 = 0 for t.\nAnswer: 1, 13, 39920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11638 and 0.496.\nAnswer: -11637.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -43, -83, -127, -175, -227, -283, -343?\n\"Answer: -2*y**2 - 34*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.3 + 0.7. Let a = 8.982 - -1.018. What is the closest to 1 in a, m, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 234556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17553?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 108874110 to the nearest one million.\nAnswer: 109000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 16. Suppose y = v*x - 2 - 14, 4*x - 17 = 5*y. Suppose i = -2*k, 2*i = 2*k + 15 - x. Calculate the remainder when 7 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 3. Let t be (-6)\/(-15) - (-17)\/(-5). Let b(n) = n**2 - 2. Determine t*b(y) + 2*j(y).\nAnswer: -3*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -17. Let p be 8 - 1\/(4\/r). Is p smaller than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4156004 (base 7) to base 8.\nAnswer: -1723336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -213, -308, -401?\nAnswer: -492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 20. Let z be 5*(-4 + (-88)\/x). Solve -z*t + 4*t = 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 555\/829054 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 41*d. Let q(k) = 638*k**2 - 242*k - 121. Let b(m) = -21*m**2 + 8*m + 4. Let o(p) = 121*b(p) + 4*q(p). Determine o(s(f)).\nAnswer: 18491*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - 9. Let x be ((-8)\/10)\/((-2)\/(-15)). What is the units digit of (t\/x)\/((-1)\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 13*j + 13. Let d(m) = m - 1. Let b be (-2)\/(((1 - -2) + -6)\/(-9)). What is b*l(z) - 78*d(z)?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25946 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1\/18)*f)\/f**(-9)*((f\/(f\/(f*f**3)))\/f)\/(f*f*f**15*f) assuming f is positive.\nAnswer: f**(-73\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -438621\nAnswer: -438621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/3114 and (-25 - (-12940)\/560)\/((-12)\/(-14))?\nAnswer: 12456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47185679*l**3 - 64658690*l wrt l?\nAnswer: -283114074*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 8:27 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 56*l - 99. Let f(o) = -19*o + 33. Let c(m) = -7*f(m) - 2*q(m). Let a be (5 - (3 - 2))*4*1. Is c(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 148.\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -31984, 4, 3 in decreasing order.\nAnswer: 24, 4, 3, -31984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 162 + -153. Suppose -10*v - 11 = n. Let r(k) = k**2 - k - 1. Let p(o) = 2*o**3 + o. Let a(i) = -p(i) - 2*r(i). Calculate a(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4284908268 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 7*w**3 + 0 - 17 - 5*w**2 + 5 - w + 7. Is m(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41a953 (base 11) to base 4\nAnswer: -2210120112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + -303348404153\nAnswer: -303348404152.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -6*d - 57. Let p = -29 + d. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 6. Find the third derivative of 2*u**k - 5*u**4 - 6*u**2 + 4*u**4 wrt u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**5\/5 - s**4\/3 + s**3\/2 - 7*s**2 + 3*s + 6. Find the second derivative of j(g) wrt g.\nAnswer: -24*g - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 7*t - 5. Let r be u(-6). Let h(y) = -y**2 - 22*y + 78. Let p be h(-25). Suppose -p*i + 284 - 236 = 0. Sort i, -5, r in ascending order.\nAnswer: -5, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from uuuuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 191.73 + -1.73. Let i = 191 - u. Which is the nearest to 0.4? (a) i (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 + 593\/26. Let x = 3\/52 - b. Is x > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-36))\/(-7*(-100)\/(-490)*(-56)\/96)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5778000 divided by -100\nAnswer: 57780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 684 and 4617.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 4*d**2 + 4*d + 1. Let i be l(5). Let q = 74 - 77. Which is the biggest value? (a) 0.1 (b) i (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/1772 and -59\/38.\nAnswer: 33668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**6\/360 - g**5\/180 + g**4\/6 - 2*g**2 + 3*g. Find i such that r(i) = 0.\nAnswer: -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1966950, 3933888, 5900822, 7867752?\nAnswer: 9834678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/470 and -101\/282?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 + 218*j**3 + j**2 - 42*j**3.\nAnswer: 176*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -247345*g**3 - 429*g**2 - 278 wrt g?\nAnswer: -1484070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 2*v**2 + 2*v + 1. Let t be j(2). Suppose y + 7 = -2*o, 43 = -5*o + t*y + 3. Which is the nearest to 0? (a) 1\/6 (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-6))\/((-60080)\/30036 + 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 30*j - 979. Give o(31).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 9, -5, -473 in ascending order.\nAnswer: -473, -5, -4, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b44d5 (base 14) to base 2.\nAnswer: -1101010000101011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2. Let w(x) be the third derivative of -11*x**6\/120 - x**5\/120 - 7*x**3\/3 - 98*x**2. Let g(k) be the first derivative of w(k). Calculate y(g(n)).\nAnswer: -1089*n**4 - 66*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-1 - -13)) + (-10 - (12 + -28)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -3312?\nAnswer: -3312.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -235611538 divided by -2029\nAnswer: 116122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4 - 4 = 0. Suppose 0 = -m + c - 0. Suppose m*s - 3*s = -28. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2277 and 48301?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2 + 6*c - 7. Let s(d) = -8*d**2 - 17*d + 20. Let p be ((-4)\/(-10))\/((-31)\/310). Give p*s(u) - 11*a(u).\nAnswer: -u**2 + 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 1:01 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 32 - 12 - 15*h**2 - 8. Let r = -2442 + 2454. Let k(m) = m**2 - 1. What is r*k(v) + i(v)?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4 + 2 = 0. Let c be (m - 5 - 88\/(-24))*51. Let a = 123 - 72. Calculate the greatest common factor of c and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14713, -14475, -14237, -13999?\nAnswer: -13761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 8 = -2*z, 2*a - z + 16 = 2*z. Let c(m) = 2*m + 10. Calculate c(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8265 divided by 2755\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 2:43 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wee. What is prob of sequence wee?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 274*i - 1620 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + (-3 - 18 - ((-5 - 5) + -5))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 265a + -27?\nAnswer: 2633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, l: 8}. What is prob of sequence nn?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.2554 * 2113.\nAnswer: -4765.6602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 + -10 - (19 - 7 - (1 - 23))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1216\/(-24)*(-12)\/(-8). What is the tens digit of 6*q\/(-8 - -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3483, -3479, -3473, -3465, -3455, -3443, -3429?\nAnswer: -3413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 7*q**2. Let i(v) = -28*v**2. Let c(t) = -2*i(t) - 9*u(t). Let x(o) = 0*o - 4*o - 2*o + 5*o. Give c(x(h)).\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -55? (a) -2\/9 (b) 5 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 0 = g + 3, 4*c - 4*g - 12 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 97*i + 1. Let l(t) = t. Calculate 2*a(q) - 2*l(q).\nAnswer: 192*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362470 + 538630 = -26057*r - 115123 for r.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7894, -7430, -6918, -6334, -5654?\nAnswer: -4854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12061498 to the nearest integer?\nAnswer: 3473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from zrzzzzzcrrrrrrczrr.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 12 (c) 5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 5 + 0\/2. Suppose f + f = -10. Let i = s + f. Solve b + 5 = 5*n - i, -2*n - 1 = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*t + 157 - 93 - 64.\nAnswer: 69*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.19*0.005\nAnswer: 0.00095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*z**2 + 93947*z - 188290*z + 94343*z.\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11.23 (b) -2 (c) 9\/7 (d) -3\/7 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 284, 492, 748, 1076, 1500?\n\"Answer: 4*x**3 + 180*x + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 207.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 11*s**3 - s**2 + 2*s - 1. Let a(g) = g + 4. Let m be a(-3). Calculate z(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 243 - 230. Suppose 0 = -s + 35 - g. Suppose 23 = 3*l + l + 3*r, 0 = 2*l - 4*r - 28. Calculate the remainder when s is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6) + (-9)\/54)\/(43*36\/(-201240)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 4:14 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u**3 - 5*u - 5. Let b(n) = -11*n**3 + 11*n + 11. Calculate -5*b(p) - 11*q(p).\nAnswer: -11*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13332?\nAnswer: 2, 3, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 13*i - 57. Suppose -21 + 89 = -4*m. Let f be q(m). Find the first derivative of -15*k - f*k - 7 + 2*k + 3*k wrt k.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**3 - 2*w**3 - 3*w**3)*(0 + 4 - 3*w + 4*w)*(-10 + 3 + 5).\nAnswer: 4*w**4 + 16*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*j - 63*j**2 - 85*j + 133*j**2 + 266*j - 63*j**2 - 88*j.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4671 and 176106042.\nAnswer: 176106042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5\/4 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12058?\nAnswer: 2, 6029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*g - 6, g - 1 = -0. Let x be 5 + r\/(3\/9). Suppose u - 186 = -a, -5*u - x + 576 = 3*a. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-4)\/(-10))\/((-6)\/8610*-7) is divided by 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 2*l + 2*p + 12, 2*l + p = -16. What is the smallest value in 3, l, 2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((4 + -4)\/(-2))\/(-1). Solve -2*t - 3*x + 4 = l, -4*x + 4 = 12 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.2 + -20.6. Let i = w - -17.4. Which is the closest to -2\/13? (a) 2\/7 (b) i (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 237*(32\/(-12) - -3). Let k = 141 - d. Suppose -4*u + 18 = -k. Calculate the remainder when 59 is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -245157810 by -49031562.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 i when four letters picked without replacement from {l: 4, u: 3, e: 3, i: 4}.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137 - 89*v + 135 - 268*v + 611*v.\nAnswer: 254*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/10, -4, 0.3 in descending order.\nAnswer: 2, 0.3, 1\/10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13424743639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**3 - 3*o**3 + 4*o**3 + 3*o - 3*o - 2*o**3 + (3*o**2 + 0*o**2 - 2*o**2)*(-2*o - 4*o + 5*o) + 3*o**3 + 5 - 3 - 4*o**3.\nAnswer: -3*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 974427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 9) + 3 + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 45758191081 - -17\nAnswer: 45758191098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3\/5 (b) 0.075 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19\/7471290 or 1?\nAnswer: -19\/7471290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-32))\/((-24)\/16). Sort 2\/7, z, 0.5.\nAnswer: z, 2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 2\/9, -1\/273, -0.09, 5, 12\/11?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 16. Suppose -4*g = 3*f - 181, -108 - 66 = -3*f + 3*g. Suppose -f = -s*x - 3. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13721*p**3 - 118*p**2 + 43?\nAnswer: -82326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/5 - 78284*k\/5 - 125280.\nAnswer: 2*(k - 39150)*(k + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = z - 6. Which is smaller: 34\/5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 9 - 17 = 0. List the prime factors of (-558 + 3)*d\/12.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + (-13)\/(169\/546).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16096 and 1312.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4028*n + 114396 = -42114 + 3446 for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 2*g**2 - 3*g - 2. Let k be x(-2). Suppose s + 10*f - 1 = -16, -5*f = 3*s - 30. Solve -l - s = k*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3 = -4*u, -3*u - 27 = -8*u + 4*t. Solve z = u*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1953 and 130200.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 10*t - 10 + 16*t - 19*t. Let u(x) = -19*x + 5*x + 18 + 3. Let v(q) = 9*k(q) + 4*u(q). What is the first derivative of v(p) wrt p?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1498.709085 rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 431000422?\nAnswer: -431000430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1532, -6128, -13796, -24542, -38372, -55292, -75308?\n\"Answer: -l**3 - 1530*l**2 + l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*-1*(-119 + -10 - -2) is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*n + 18 = 0, n + 13 = v - n. Let z be 2\/8 + v\/(-12). Suppose z = -2*q + 113 + 45. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28185708.5 to the nearest ten thousand.\nAnswer: 28190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 0*d**4 + 0*d**5 + 47*d + 5\/6*d**3 + 20\/21*d**7 + 0*d**6 + 0*d**2 + 0. What is the second derivative of z(s) wrt s?\nAnswer: 800*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)*c)\/c**(-3) assuming c is positive.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2889 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94 and 73555.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71.427262 - 61.4272571. Let z = c + -10. What is z rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326 a factor of 4914156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 2427?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p + 41*p**2 - 4*p + 5 + 19*p**2 - 4. Let w be v(1). Let t = -41 + w. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 3. Let q(y) be the third derivative of 0 + y**2 - 18*y + 1\/24*y**4 + 0*y**3. Determine -c(s) - 3*q(s).\nAnswer: -2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-10) + (-10367)\/(-45). Let r = 225 - c. Find the common denominator of r and ((-2)\/(-4))\/(15\/(-870)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -12*r + 8. Let s be q(-3). Suppose 2*j + s = k + 14, -2*k = 4*j - 36. Calculate the lowest common multiple of k and 2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65459277 is divided by 81417?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -166923 + -1.36.\nAnswer: -166924.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -0.030366213.\nAnswer: 0.0030366213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l - 1. Let f be c(-1). Let h be -2 - (-3 + 3 + f). What is the greatest common divisor of h and 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 - (1 - (7 + -6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 14340?\nAnswer: 71700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18932*-1.\nAnswer: -18932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 10:14 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -9 + 9 - (-8 - -6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 8*o + 90. Calculate the remainder when k(6) is divided by 60.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x - 751 + 9*x**2 - 6*x**2 + 6*x**2 - 3*x.\nAnswer: 9*x**2 + x - 751","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 2*n**2 - 2*n + 1. What is j(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 5) to base 2\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4125 and 696.\nAnswer: 957000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 245900183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -113788 or -6941004\/61?\nAnswer: -6941004\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 137 - 135. What is the first derivative of -c**3 + g*c**3 - 49 - 26 + 33*c**2 - 24*c**2 wrt c?\nAnswer: 3*c**2 + 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.034731*-0.4.\nAnswer: 0.0138924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8870293?\nAnswer: 83, 106871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2967.\nAnswer: 3, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 595 and 170.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1021023186?\nAnswer: 2, 3, 170170531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**5)*k**(-2\/11)*((k\/(k\/(k\/(k**(-1)*k)*k)))\/k)**(1\/51))**(2\/7))**(2\/83) assuming k is positive.\nAnswer: k**(10856\/325941)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -6*f**2 + f - 1. Let c(q) = -5*q**2 + 2*q - 2. Let w(l) = 7*c(l) - 6*p(l). What is w(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38.108 + 38. Round q to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 3. Let f = -12158\/37107 - -6\/589. Let q = f + 2\/21. Are q and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 76*v**2 - v. Let r be q(-1). Let z be -4*(-2 - (-6)\/(-3)). Suppose -z = -5*j + 19. What is the highest common factor of j and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -6. Suppose -y - 4*y + 3*q = -135, 0 = 2*y + z*q - 80. Calculate the greatest common divisor of y and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -8*u**2 + 5. Let z(o) = -24*o**2 + 14. Let f(s) = 14*a(s) - 5*z(s). Calculate the smallest common multiple of 1\/4 + 39\/4 and f(1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 25*c - 24*c. Let d(l) = 4*l**3 + l**2 - l. Let m be (-1)\/(2 - 1) - -3. Let q be d(m). Solve -4*r = -q + c for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*t + 3*o, 2*o = 6*t - 13*t - 42 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*z + 126 = -85*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12172477 divided by -2?\nAnswer: -12172477\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 999 + -360. Let u = 215 + t. Is 61 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 413*p + 28*p**3 - 413*p.\nAnswer: 28*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331)*-1 + -4.\nAnswer: -11*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 52 = x - 6*x, 5 = x + 2*s. Solve -16*u + 25 = -x*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11883039*c - 11882833*c + 14008 = 0 for c.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8682221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/2)\/(2\/(-6)). Let d be s\/(-12) + (-42)\/8. Let r be (2\/3)\/((-10)\/(-15)). Sort d, -1\/4, r.\nAnswer: d, -1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80 + 169 - 125*p - 88 - 116*p to j*p + u and give j.\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23729689 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4988 - 9927 - 324*j + 4939 to o + b*j and give b.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196952 is divided by 12309.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*n = 75*n - 340. Calculate the greatest common divisor of 2465 and n.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -193585905, -387171812, -580757719, -774343626, -967929533, -1161515440?\n\"Answer: -193585907*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 divided by 2029218?\nAnswer: -29\/1014609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384*q - 9 = 400*q + 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c28a (base 13) to base 9.\nAnswer: -40705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) 0.09 (c) 10 (d) -5\/3 (e) -2 (f) 3.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 333\/5, -11, -2, 401?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9128)\/93)\/14*-1. Let m = s - -10\/31. Factor -2\/3*x**3 + 2\/3*x + 22\/3 - m*x**2.\nAnswer: -2*(x - 1)*(x + 1)*(x + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2. Let c(q) = -3*q. Let p(h) = -8*h. Let b = 6 - 10. Let t = 43 + -32. Let j(w) = b*p(w) + t*c(w). Determine j(g(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 13*l**4\/24 + 5*l**3\/6 - l**2 + 81. Let d(b) = 6*b + 2. Let v = -10 - 0. Let a = v - -5. What is a*d(j) + 2*u(j)?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 721 + -723. Suppose 2*b - 6 = 2. Let y = 9 + -13. Sort 5, y, b, t in decreasing order.\nAnswer: 5, b, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 10) to base 8\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*m - 6*m - 234 - 286 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77 + 25. Is d a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p + 3. Let v(r) = 2*r + 44. Let a(c) = 2*c + 17. Let o(s) = 3*a(s) - v(s). Determine -5*l(k) + 3*o(k).\nAnswer: 2*k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 8)*(4*j + 2*j - 4*j) - 2*j + 4*j + 0*j + (1 - 1 - 2)*(-34*j + 23*j - 27*j) + (-j + 1 - 1)*(1 - 3 + 1).\nAnswer: 61*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2558, 6914, -5 in decreasing order.\nAnswer: 6914, -5, -2558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u + 19*u = -44*u - 470 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 56272267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -96*c**3 - 416370*c**2 - 153*c - 177129 wrt c.\nAnswer: -576*c - 832740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5*-5*-2*sqrt(125) - (1 + 5*sqrt(320)*2 + sqrt(320))).\nAnswer: -338*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -n + 2*n + n + (5 - 21 - 15)*(0*n + n + n) in the form x + l*n and give l.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, t: 2, s: 1, u: 3, d: 1}. Give prob of picking 2 u and 1 w.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 + 42. Solve o + 1 = -m*t, -4*o = t - 6*t + 30 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*i = -230999996, -3*z - 15*i - 230999994 = -12*i. Round z to the nearest 1000000.\nAnswer: -77000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 + 43 - (-4 + -3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7 - (10682\/(-2) - 8\/2).\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3021*c**2 + 1559*c**2 + 1518*c**2.\nAnswer: 56*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*n - 20*n - 20*n + 6*n + 57*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 9*t**2 - 7*t - 4. Let g be b(8). Suppose 0 = -5*q + g*h + 44, -h = 3*q + h - 22. Solve p + 3*p - q = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/3782 - 7551\/49166. What is the third smallest value in u, 2\/205, 0.03, 1\/4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/5 (b) -80 (c) -2.6 (d) 13 (e) -2 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - ((1 - 1) + 2). Which is greater: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*h + 7, 2*r - 11 = -0*h + 3*h. Let s = -27.5 + 28.5. Which is the nearest to s? (a) h (b) 1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*p - 530*p + 27435 = -217*p for p.\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -356128800, -712257600, -1068386400?\n\"Answer: -356128800*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 797195656.\nAnswer: 2, 99649457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (48\/(-36))\/(4\/(-42)). Let c = 22 - z. Suppose 4*n - c = 2*f, -8*n + 10 = -f - 3*n. Solve 2*x - 6*x = f for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 154*t**3 - 350*t**3 - 3 + 183*t**3 + t**2 - 3*t in the form l*t**2 + w*t**3 + d*t + v and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/11)*(m\/(m**0*m))\/m*m\/(m\/m**(-14\/9))*m**(12\/5)*m assuming m is positive.\nAnswer: m**(463\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 104.795 - 105. Let d = n + 0.20499867. What is d rounded to 7 decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*k - 25*k + 22*k)*(562 - 1674 + 555 + 557 - 1524*k) in the form j*k + f*k**2 + n and give f.\nAnswer: 30480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(15)\/(sqrt(27)*5) + (-5*sqrt(90)\/sqrt(2))\/(1*sqrt(9)*-2).\nAnswer: -2 + 77*sqrt(5)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -65563 + -6?\nAnswer: -65602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1682 (b) 2 (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r - 5. Let p be l(4). Let m = -68 - -203. Suppose p*c - m = 492. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26466942 to the nearest integer?\nAnswer: 5145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/30 + (-94)\/(-10). What is the remainder when (m + -7)\/((-3)\/(-2)) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22.475 - -298590612\nAnswer: 298590589.525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y - y)*((16*y - 197 + 197)*(3*y - 6*y + 2*y + (-3*y + 0*y + y)*(3 - 4 + 3)) - y + y + y**2)*(-4*y**2 + 2*y**2 + 3*y**2).\nAnswer: 79*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11962 + -11909. What is the remainder when 2069 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 277*y**2 + 7*y + 71. List the prime factors of b(6).\nAnswer: 5, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hvvvhvqhqqdvv. What is prob of sequence dqv?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 0. Suppose z = 3*p + 116, -y*p + 0*p + 110 = z. List the prime factors of z.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*p**2 - 15*p**2 - 95*p**2.\nAnswer: -83*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 332 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/9, -4\/7, 54, 4, 248, -290, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 10*f**3 + 2*f**2 + 7*f + 12. Let v(r) = 3*r**3 + r**2 + 2*r + 4. Let a(p) = 2*c(p) - 7*v(p). Calculate a(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4 - 575*m - 577*m + 1154*m. Let r = 12 - 7. What is h(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -87*j + 3421. Let o be v(19). What is the greatest common divisor of 1144 and o?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001222400817 rounded to 6 decimal places?\nAnswer: 0.001222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 13*v - 18657 + 9326 + 9328 - v**2. Determine z(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5510251 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -9*a**2 - 99*a + 2. Calculate the lowest common multiple of m(-8) and 18.\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -112*j**2 - 5284*j - 433. Calculate t(-47).\nAnswer: 507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 + (-3 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**5\/2 - 393*s**4\/2 + 9*s**3\/2 + 1185*s**2\/2 + 393*s = 0. What is s?\nAnswer: -131, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 2*k - 16, -o + 3 - 17 = 2*k. Let w(t) = t**2 + 10*t + 3. Let m be w(o). Suppose -4*v - m*c + 13 = -3*v, -3*c = -2*v - 10. Solve 4 = a - v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9357, -18757, -28155, -37551, -46945, -56337?\n\"Answer: s**2 - 9403*s + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -77\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 + 34.42. Let j = g + 0.08. Let r be 8\/44 + (-3 - (-505)\/187). Which is the second smallest value? (a) j (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3149 - -3174.26. What is c rounded to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(2\/5) + -3. Let v = -1587 - -22181\/14. Calculate the common denominator of b*(-114)\/(-16) - -1 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7254.2124 to the nearest ten.\nAnswer: 7250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3738440 by -8.\nAnswer: 467305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n + 3*n + 2*n**4 + (-23*n + 23*n - 14*n**3)*(0*n + n - 3*n) as q*n**4 + k + a*n**2 + z*n + d*n**3 and give q.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 116.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 12\/11, 0.3, -3 in decreasing order.\nAnswer: 12\/11, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) 2 (c) 78 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/6 + 3209423*w\/3 - 4279228.\nAnswer: -(w - 6418842)*(w - 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i + 30. Let k be d(-17). Let a = k + 1. Let y be (a\/(-40))\/(-1 - (-22)\/20). Solve -y*s + q = -q - 10, 8 = 4*s - 4*q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-16)*1\/(-2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15861 - 7314. List the prime factors of w.\nAnswer: 3, 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3787 (base 11) to base 14\nAnswer: 1b27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 4 = 8, 2*o - 5*w - 55 = -70 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -501025220 - 0?\nAnswer: -501025220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5409076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 + 0.49.\nAnswer: 0.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jtjt when four letters picked without replacement from {t: 8, j: 5}?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 1. Let m(g) be the second derivative of -g**5\/10 - g**4\/3 - g**3\/6 + 3*g**2\/2 + 4*g. Let u = -11 + 10. Determine u*m(z) - 3*l(z).\nAnswer: 2*z**3 + z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 331260987?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*y - 2*v - 155, 97*v - 20 = 11*y + 102*v for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3*(4*sqrt(228) + sqrt(228) - sqrt(228) - sqrt(228)) - sqrt(228))\/((sqrt(120) + -4*sqrt(120))\/sqrt(10)))*2.\nAnswer: -16*sqrt(19)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 14. Suppose 0*l + n = -3*l + 34, -5*l + 56 = 2*n. What is the smallest common multiple of l and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*b**(2\/31)*b**6)\/((((b**10\/b)\/b)\/b)\/(b*b**32)) assuming b is positive.\nAnswer: b**(1087\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**4*a*a\/(a**(-6)\/a))\/(a\/(a\/(a\/(a\/(a**1*a*a)))*a*a))**(2\/45) assuming a is positive.\nAnswer: a**(313\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 293017529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**12*a**7)\/(a**(-3\/20)\/(a**(-29)*a*a)) assuming a is positive.\nAnswer: a**(-157\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2403, 4809, 7213, 9615, 12015?\nAnswer: 14413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by 1195?\nAnswer: -19\/1195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/7*(2 + -1). Let n = 0.03 + 0.37. Let k be ((-6)\/5)\/(-10 + (-416)\/(-40)). Sort k, a, n in decreasing order.\nAnswer: a, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 459353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (762*23\/184)\/(3\/(-10)*(-295)\/(-118))?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6517685 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 154951000 to the nearest integer?\nAnswer: 12448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(57)\/sqrt(3)*-1)**2 + (sqrt(228)*1)\/sqrt(12) + (sqrt(228)\/sqrt(3))**2.\nAnswer: sqrt(19) + 380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (624\/(-130) + 3\/(-6)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/8)*h**5)\/(h**(-2\/7))**(-10))\/(h*h**(-1)*h**(2\/5)*(h**0)**(15\/2)) assuming h is positive.\nAnswer: h**(453\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 26400233527 and -0.5.\nAnswer: 26400233526.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*t + 4*o, 2*t + 9 = t + 3*o. Let w = t - -13. Suppose -5*y - 256 = -711. Calculate the highest common divisor of w and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 3) in base 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 963738?\nAnswer: 2, 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42697 is divided by 80?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*k - 309 - 240 = -27 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8545 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2628817533 + -35.6.\nAnswer: -2628817568.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5341*d + 4*d**3 + 4*d**3 + 5341*d - 21*d**3 + 12*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22653\/2 + -11324. What is the fourth biggest value in -0.02, 0, -1\/10, 2\/7, r?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*t = 57*t - 214. Let d = 133 + t. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -2*a - 4*a + 3*a - 6, -3*a + 5*l = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*(-5 + -5*sqrt(25)\/(sqrt(20)\/sqrt(4))).\nAnswer: 7 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + -37. Which is smaller: 0.1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 958 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-196236)\/2528 - 156\/(-2).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (200*a - 30*a**2 - 200*a)*(-4 + 5 + 7).\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -38\/3. Let x = 0.1 - 0. What is the nearest to x in i, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54667 + -662267\/12. Let c = x - -522. Sort 0.2, 2\/3, 4, c.\nAnswer: c, 0.2, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -20.\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (37 + (-30 - -20 - -22))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.013 in -7.4, 2\/13, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -573 - -464.9. Let z = 73 + k. Let i = z - -35. Which is smaller: -0.2 or i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 5:51 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z - 1. Let i be m(7). Suppose 0 = i*r - 15 - 3. Suppose -4*q - s - r*s + 136 = 0, -32 = -q - 3*s. What is the remainder when q is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -285.13994238 - -285.14. Round g to 6 decimal places.\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -7*o - 18. What is the remainder when 24 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -163 - -1465\/9. Sort -4, 3, z, -0.04 in ascending order.\nAnswer: -4, z, -0.04, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/27)\/((-2)\/3). Let t = -0.4 - 0.1. What is the biggest value in t, 4, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddffddddfddddddddd. What is prob of sequence fd?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -1001011001011?\nAnswer: 1001011001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 5*q = 3*h + 15, -4*h + 2*q + 12 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-2)\/4 + -6. Let t = -278 + 281. Let h(l) = 3*l**2 + 3 - 8*l + l**t + 0*l**2 + 6 - 16. Calculate h(s).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.45706722 to 2 dps.\nAnswer: 39.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.01 + -0.01. Let b = -1.9 + y. Let x be (26\/(-16) - -2) + 0. Which is smaller: x or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + 1 + -2 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8314038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226867899 is divided by 70216?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-4))\/((-140)\/((-47600)\/30))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - c?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) -5\/4 (c) 2 (d) 2.4 (e) 1\/4 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s = 16*s + 5*r - 5, s - 11 = -2*r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 161\/13 - 2819\/130. What is the common denominator of -65\/42 and r?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -258744*i**4 - 108*i**2 - 2308 wrt i?\nAnswer: -6209856*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -100 - -104. Solve 5*k = -10, -6 = 3*q - k + l*k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2345*w**3 - 2018*w + 1.\nAnswer: -14070*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 11024767.7 to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334*q = 322*q + 360. Solve -3*z + 11 = q*s - 32*s, 2*z = s + 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(((h*h\/(h\/(h*h**(3\/5))*h)*h)\/h)\/h)\/h)**(1\/7)\/(h*h\/(h*h*h*h*(h**0*h)\/h)*h*h)**(-10) assuming h is positive.\nAnswer: h**(3\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhs when four letters picked without replacement from nsnhnhnnnnhnnhnnhh.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 2044.\nAnswer: 2044.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -45*d. Let n be t(-1). Let c = n - 42. Suppose 0 = c*a - 10 - 2. Solve -z + 5 = a*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*a - 14*a + 9*a as y + l*a and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -224*v**2. Let a(n) = 5130*n. Determine o(a(h)).\nAnswer: -5894985600*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76 + 76 - 22*h)*(-44 + 114 + 39).\nAnswer: -2398*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -652?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: def2 (base 16) to base 10\nAnswer: 57074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/4 and (-34)\/272 + (-4 - -7) + (-196101)\/68568?\nAnswer: 11428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11949 <= 70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 2*a + 1, -a - 2*a = -4*h. Let p be (-11)\/h - 4\/6. Solve p*x - 6 = 2*m - 5*m, -4*x = 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j. Let k(c) = c - 10. Let i(h) = -33*h + 66. Let a(s) = i(s) + 6*k(s). Give a(z(w)).\nAnswer: -54*w + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-21)\/(-12))\/((-7)\/(-28)). Let o be (a\/21)\/(5\/(-15)). Suppose -3*s = -s + 4. Sort 2, o, s.\nAnswer: s, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 660 and 1322376.\nAnswer: 6611880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 38\/(-184) + (-18)\/24. Let c = -284\/345 - d. What is the nearest to 1\/2 in 0, -0.9, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13, -1, -15, -29?\n\"Answer: -14*u + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (30903\/2)\/((-14619)\/(-220)). Let v = l + 109141735\/6202. Let n = v + -17822. Calculate the common denominator of 5\/68 and n.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1428 - 2560 - 2043)*(-2*t**3 + 4*t**3 + 0*t**3 + (-t**3 + 5*t**3 - 5*t**3)*(3 - 3 - 2)) to x*t + m*t**3 + q + a*t**2 and give m.\nAnswer: -12700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1716, -13716, -46284, -109704, -214260, -370236?\nAnswer: -587916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 - (-2 + 3 + -5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 82\/9*d**2 - 22\/9*d**3 - 122\/9*d + 20\/3 + 2\/9*d**4 = 0.\nAnswer: 1, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000011220 (base 3) to base 5\nAnswer: -1113230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4021 divided by -9?\nAnswer: 4021\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9016177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - l = -0*k + 677, -2*k + l + 272 = 0. Suppose -k*r = -131*r - 28. Suppose r*s - 103 = 156. Calculate the remainder when s is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3275\/18 - -182. Let r(j) be the third derivative of -1\/180*j**5 + 0*j + 0 - c*j**3 - 1\/36*j**4 - j**2. Factor r(i).\nAnswer: -(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1568, 1488, 1346, 1136, 852?\nAnswer: 488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/10*(-3 + 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v + 30726 = -3*v. What are the prime factors of v?\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27.5 + 27. Let q = 15 - 19. Let m = 6 + q. What is the second smallest value in -2, m, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1100*r - 2380*r**2 + 194*r**3 - 196*r**3 + 401 - 400 wrt r?\nAnswer: -12*r - 4760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35429, -21876, 713, 32338?\nAnswer: 72999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/16 (b) -7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c - 8. Let b be t(-5). Put -5, b, -1 in descending order.\nAnswer: -1, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 10*a**2 + 147*a + 2456. Let l be x(-17). Calculate the greatest common factor of l and 4161.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -142007898 minus -86.933?\nAnswer: -142007811.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 270*j + 189\/2*j**2 + 3\/2*j**3 + 0 = 0. Calculate j.\nAnswer: -60, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 3*v**2\/2 - 11*v + 3. Is 22 a factor of q(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/9)\/x)**(-11))**12 assuming x is positive.\nAnswer: x**(308\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by 236.\nAnswer: -8\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = 3*y. Suppose 3*t = -t + 5*u, 3*t - 2*u = 0. Let d(h) = h**3 - 2*h**2 + h + 5. Let o be d(t). Sort o, 1, y in ascending order.\nAnswer: y, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -2. Is -6*(3 - (-11)\/h) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 8*i**2 - 18*i - 9. Give u(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0051 and 4?\nAnswer: 0.0204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/14)\/(((-14)\/(-49))\/(-1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*y - 122, 2*g - 4*y = 10 + 36. Suppose 5*w + 0*w - 125 = 0. Calculate the greatest common factor of w and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146255?\nAnswer: 5, 29251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*w - 752 - 76 = 1342 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t - 16 = 30 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*m**2 - 7*m - 1 - 24*m**2 + 42*m**2 - 1 as d*m + c*m**2 + q and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 259926884 to the power of 1\/2, to the nearest integer?\nAnswer: 16122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3012550, -6025099, -9037648, -12050197?\n\"Answer: -3012549*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -818 - -818.5. Sort t, -248\/3, -0.1, 0.\nAnswer: -248\/3, -0.1, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/((-4)\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/(sqrt(7)*1))**2 - sqrt(26)\/sqrt(200).\nAnswer: -sqrt(13)\/10 + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-90)\/(-21) - (-2)\/(-7). Suppose 4*t = -2*k + 146, -u*k - 4*t = -3*t - 299. Let l = k - 451\/6. Is l != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/4 + 0 + (-25)\/2. Let u(a) = -2*a + 18. Is u(r) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 891440 is divided by 111?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 860.9601 months?\nAnswer: 0.071746675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b. Let f(r) = 2*r - 1. Let j(t) = t**3 + 12*t**2 + 16*t + 49. Let x be j(-11). Let l(w) = x*f(w) - 3*d(w). Calculate l(8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 + 13627 - 27253 + 13626.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 42*d - 212. Let f be n(-36). Suppose -4*o - 23 = -5*i, -15*o - 4 = -f*i - 19*o. Solve -s = 5*k - 18, -k - i*k - 5*s = -6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 154*a**4 + a + 6*a**2 - 2 - 2*a**2 + 155*a**4 - 449*a**4 + 168*a**4 as h + b*a + c*a**2 + k*a**3 + r*a**4 and give r.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06783 + -0.077.\nAnswer: -0.00917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 736*v**6 + 17118*v**4 + 57138*v**2 - 802.\nAnswer: 88320*v**3 + 410832*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(1053) - (sqrt(1053) + 0)) + 0 + (4*1*sqrt(1053) - sqrt(1053)) + -6*((sqrt(1053) - (2*sqrt(1053) + sqrt(1053) + sqrt(1053))) + 4))*5)**2.\nAnswer: -217350*sqrt(13) + 11622550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/826 and (8549\/1992)\/(1 - (-6)\/(-8)).\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*((-12)\/5 + 2). Let i be (2\/5)\/(t\/(-20)). Suppose 0 = -3*n - q - 4*q + 28, i*n - q = -1. Solve 5 = 4*r - 2*g - n, r - 2 = g for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155312891.\nAnswer: 155312891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20174 - 20175. Is u >= -4\/867?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30*((-2132)\/123 - (-21 - -3)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 2*a + 102. Let k be (66\/28)\/(69\/a). Let p = k + -25\/7. Is p greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111336?\nAnswer: 2, 3, 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 102164.3 + -0.11?\nAnswer: 102164.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.003 + 6.603. Let u = -0.4 - k. Let b = u - -6.9. Put -0.4, -3, b in descending order.\nAnswer: b, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1331200210 (base 4) to base 9\nAnswer: -863164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 573262822?\nAnswer: 2, 11, 97, 353, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.5 - 50.5. Let j = -58.9504 - f. Round j to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 31 = -5*d + l, 2*l = 4*d + 30. What is the units digit of d\/(-18) - 4\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37273609 + -26445609. What is o rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*a - 15. What is the remainder when 3 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6654)\/1109 - 8*2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k + 18. Suppose -4 - 14 = -3*o. Let n be c(o). Suppose w + 0*w = n. Solve 5*l = -0*q - 3*q + 13, -2*l + 2*q + 18 = w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 g when four letters picked without replacement from gogooog?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2827*v = -46039 + 365490 for v.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 i when four letters picked without replacement from {i: 7, x: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 4 = z, -2*z - 3*z + 5*h = -30 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 294*r + 3. Let s be z(-3). Let n = s + 1738. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2149122196 to the power of 1\/2, to the nearest integer?\nAnswer: 46359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -333720 divided by -333720.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 115315?\nAnswer: -115324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*1253617.5\nAnswer: 125361.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 - 51*u**3 - 43*u**3 + (6 - 3 - 1)*(-u**3 + u**3 - 2*u**3) - 4*u**3 + 2*u**3 + u**3 - 3*u**3 - u**3 + 2*u**3)*(-3*u + 3*u + 2*u).\nAnswer: -202*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 189\/21 + 49 + -5. Solve -z = -o + 52 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 3*g**2 - 6*g - 2. Let q be x(-4). Let d(v) = 2*v**2 - 9*v + 2. Let s be d(q). Solve 6*c = c + s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36385\/6 + -6064. Sort -0.05, -0.3, r in descending order.\nAnswer: r, -0.05, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*v, 1 = g - 2*v - 0*v. Let t = 1 + -3. Let b = -3 - t. Sort b, g, -3.\nAnswer: -3, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5454364ml in litres?\nAnswer: 0.0005454364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z. Let v(o) be the second derivative of -o**6\/45 + 8*o**3\/3 + 5*o. Let y(r) be the second derivative of v(r). What is p(y(x))?\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-20)*(-9)\/(9\/4)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*a + 2*l, a + 2*a = 2*l + 21. Suppose 4*x = x - 6, a*x = 2*c - 18. Let o(b) = -b - 14. Let n be o(-13). Sort n, c, 6 in descending order.\nAnswer: 6, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 1:40 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1191135118?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**4\/4 - z**2\/2 + z + 106. Let w(l) = -6*l**3 - 9*l + 9. Determine 18*i(g) - 2*w(g).\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6437 + 6452. Let r(h) = h**2 - 15*h + 23. Determine r(x).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, p: 2, j: 1, n: 1}. What is prob of sequence kpn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 4*b**2 - 4*b + 3. Suppose 612 = 2*q + 7*q. Suppose y + 3*y = q. Suppose -4*p = 5 - y. Calculate d(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 760 - 757. Suppose 0 = 4*w - 2*v - 16, 3*v = 2*v - 4. Suppose c*p + 2*n - 1 + w = 0, 3*p - 1 = -4*n. Which is smaller: 2\/43 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52770?\nAnswer: 2, 3, 5, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 6*r + 1. Let x be p(5). Let y be (3*1)\/((-13)\/26). Let c(w) = w**3 + 6*w**2 + 4. Let b be c(y). Solve b*q + x = 2*u, 4*q + 2 = 2*u + q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -194.257 - -194. What is j rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(139524\/(-72))\/(-151)\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 14*g**2 + 16*g + 12. Let f be d(-13). Let w = f - -32. Solve 0 = 4*y + r - 5, 5*r + 2 - 27 = w*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + (-48)\/21 + -1. Suppose -20 = -5*h + 70. Let w be 2\/(-3)*135\/h. Which is the third biggest value? (a) w (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -13*f**4\/6 + 9*f**3\/2 + f**2 - 14*f. Differentiate k(w) with respect to w.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -37, -38, -39, -40, -41?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 105643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*h - 1 + 201 + 24. Solve 0 = -h*x + 34*x - 30 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -334240133 (base 5) in base 9?\nAnswer: -2701724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 103 + -320. Let h = w + 217. Which is the smallest value? (a) 0.4 (b) h (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -2*h - 0*h - 2, -3*h - 6 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 344974 and 6061686.\nAnswer: 42431802","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-15 - -7) - -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 707 + -712.66. Round s to one dp.\nAnswer: -5.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -483196*l + 2415990. What is p(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 4 = -4*c, 2*j = -3*c - 2 + 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 290.6516mg to nanograms.\nAnswer: 290651600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/518 and ((-69)\/(-30))\/(1098\/(-4575)).\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 123*w**2 - 225*w + 225*w + 39*w**2 to x + m*w + y*w**2 and give y.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 296881 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 116\/(-4350) - 411\/(-225)*-29\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 11*b**2 + 11*b + 10. Let a be s(-10). Let y(d) = -d**2 - d - 5. Let n be y(a). Let k be n\/((-10)\/(-4)) - -4. Solve -z + k = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(324)*-4 + sqrt(324))\/(sqrt(1200)*2) - (-1 + sqrt(972) - (sqrt(162)\/sqrt(6) + 3))**2.\nAnswer: -691 + 2391*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**2 + 69*k - 25*k - 23*k - 61*k**4 - 25*k wrt k.\nAnswer: -1464*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*u + 11, -u = -0*u - 1. Let x(m) = -4 + a + 10*m - 27*m. Does 7 divide x(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8437?\nAnswer: 11, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*l + 13*l - 40*l + 312 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 36. Let r be (h - -1)*(9 + -8). Let w(i) = i**3 - 8*i**2 - 4*i + 4. Calculate the remainder when w(r) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 972.6936 decades in years?\nAnswer: 9726.936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59 - 196. Let a = 634 + d. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 120, 234, 348, 462, 576?\n\"Answer: 114*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127 + 15*m - m**2 + 127.\nAnswer: -m**2 + 15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 866 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - ((45 - -31) + -27)) + -16?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 12:28 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-114*c**2 + 1388*c - 66*c**2 - 1 - 1389*c)*(-1 + 1 - c**2).\nAnswer: 180*c**4 + c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t*t**(1\/2))\/t))**(-47)*t**(-1\/5)*(t\/t**(4\/3))\/t*t assuming t is positive.\nAnswer: t**(-721\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -r**3\/9 - 73*r**2\/6 - 2472. Find s, given that w(s) = 0.\nAnswer: -73, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 88550*m = 88554*m - 22, -5*s = -3*m - 42 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1125)\/(-24) - 3\/(-24). Is 47 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/157 (b) -0.27 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = -2*a. Let v be 128\/40 + 2\/(-10). Suppose -v*f - x + 4 = 0, a*x - 3*x = 2*f - 2. Solve -4*y = f + 14 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1100)\/(-825)*3\/(-182). Which is the closest to 0? (a) 7 (b) 2\/5 (c) m (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1138, 2\/3, -11\/9, -1.\nAnswer: -1138, -11\/9, -1, -0.3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 15) to base 9\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1294 - 622. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + f + 12 = 0. Let s = f - -4. Suppose -5*r = -2 - s. Solve 4*b = -2*g - 16, -b - r*g - 6 = 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 3:05 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r + 565 + 295 = 0. Suppose 9 - r = -4*i + 3*m, m + 8 = i. What is the common denominator of i and (-848)\/(-126) - (-2)\/(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1433064 is divided by 8902?\nAnswer: 8744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67547, -269546, -606177, -1077434, -1683311, -2423802, -3298901, -4308602?\nAnswer: -5452899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqvv. What is prob of picking 1 q and 1 v?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 10669 and 10670 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -6459*x - 16855 + 16855 in the form v*x + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 66946 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.114 + 0.1061. What is b rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ngnnnnnngnnnn. What is prob of picking 1 g and 3 n?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*i + 71, -4*p + 56 - 6 = i. Solve 19 - p = -2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1058596094403 less than -18?\nAnswer: -17.8941403905597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -218 + 221. Suppose f*r - 16 = -s, 2*r = -12*s + 7*s + 28. Solve -5*c - 37 = 4*d, 0 = 2*d - r*c - 20 + 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 > 1119\/113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 10\/7 of a week?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1385142811 to the power of 1\/5, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 1)*(-x - x - 4*x)*(274 + 53 - 103) as y*x + h and give y.\nAnswer: 1344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-6)\/o**3*(o**2)**(11\/7)*(o**(-3)\/(o*o*o\/(o*o**(-5))*o*o))**(-2\/55) assuming o is positive.\nAnswer: o**(-2087\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100100, -200203, -300306, -400409?\nAnswer: -500512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(75))**2 + -3.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 21*y + 211. What is the remainder when h(26) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.33 - -1.13. What is the fourth biggest value in z, -1\/8, -0.14, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from zzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1391, -1392, -1393, -1394, -1395, -1396?\nAnswer: -1397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -14\/11 (b) -2\/11 (c) 3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sdmppddbkpkdpm. Give prob of sequence pds.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309*d + 72 = 318*d. Let z(l) = 194*l - 217. What is the units digit of z(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 - 56. Suppose 0 = -g + 4*z - 11 - 3, -2*z - 14 = -f*g. What is the third derivative of 7*t**2 + 10*t**3 - 7*t**4 - g*t**4 - 10*t**3 wrt t?\nAnswer: -312*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ofsf when four letters picked without replacement from {q: 4, s: 6, f: 3, v: 2, o: 2}.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-20))\/((-2)\/10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 60*s - 51*s - 45. Solve -4*h - 16 = -3*a, -2*h + 15 = 3*a - s*h for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.3, -4\/9, 462, -4 in increasing order.\nAnswer: -4, -1.3, -4\/9, 462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15137 - -22324. List the prime factors of k.\nAnswer: 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express -o - 22*o**2 - 14*o**2 + 3*o - 7*o**2 in the form h + b*o**2 + k*o and give b.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 + g**3 + 0*g**3)*(-6 - 2 - 2) + 2*g**3 - 3*g**2 + 3*g**2 + 0*g**3 + 3*g**3 - 4*g**3.\nAnswer: -19*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 72717, -1, 6, -8?\nAnswer: 72717","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1386.2 + -1385.9. Which is the second biggest value? (a) 2 (b) 1 (c) j (d) -6 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5206 - 1773. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5*((sqrt(225) - -2*sqrt(225))*-2 + (sqrt(225)*1 + sqrt(225))*-2)\/(((sqrt(275) - (-1*sqrt(275) - sqrt(275)))\/sqrt(5))\/sqrt(11)).\nAnswer: -1 + 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 60*u**2 - 8*u + 31. Suppose -5*k + 0*g + g + 18 = 0, 3*g = -3*k + 18. Is d(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + d = 0. Suppose d = 2*y - 3*u + 2, 3*y - 4*u + 3 = -0. Does 3\/8 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 306*g - 42. Let j be a(-19). Let p = -2338 - j. Find the second derivative of -48*b**3 + p + 15*b - 3518 wrt b.\nAnswer: -288*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3086*i + 20. Let p(v) = 40117*v - 264. Determine -66*m(f) - 5*p(f).\nAnswer: 3091*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**3 + o**2 - 22*o + 25. Suppose -24 = -4*z + 4*g, -30 = -5*z + g + 3*g. Let s be u(z). Calculate the greatest common divisor of s and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -9 + 2 + (0 - -8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6*14\/((-84)\/6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55407*o**2*t**2 - 7*o**2*t + 13*o**2 + o - 4*t**2 + t - 1061 wrt t?\nAnswer: -110814*o**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-12))\/((-2)\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**4 - 120*a**3 - 958800*a**2 + 221952000*a = 0.\nAnswer: -640, 0, 340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/21, 2455, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, -25, 2\/3, -5 in descending order.\nAnswer: 1, 2\/3, -5, -6, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(1\/12))\/(m**(2\/93)\/m))\/(m*m*m\/(m*m**(1\/2)*m)*m)**(-13) assuming m is positive.\nAnswer: m**(8021\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2. Let h be y(1). Differentiate -k - 4 + 1 + 7 - h*k wrt k.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318093.3 rounded to the nearest one hundred?\nAnswer: 318100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 12\/25 of a meter?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -44, 46, -2 in increasing order.\nAnswer: -44, -2, -1, 2, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020201 (base 6) in base 11?\nAnswer: 34068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1030202331 (base 4) to base 6\nAnswer: 10415313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 180 - 1258\/7. Let m be 5 - 2 - 0\/1. Sort -0.4, x, m in increasing order.\nAnswer: -0.4, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 1:49 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-10))\/((-14)\/(-10)). Let u = 14 + -24. Let m = -5 - u. What is the second smallest value in -3, j, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*b - 28*b**2 - 460 + 24*b**2 - 515 - 6*b + 19*b as d*b**2 + r*b + x and give x.\nAnswer: -975","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-3)*-36 - 0. Let k = i - 65. Suppose 0 = -2*x - 5*u + 83, 0*x - 2*u - k = -x. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o**2 + 2*o - 2. Let p = -7 - -9. Let m be s(p). Let x be 2\/4 - (-3861)\/m. Calculate the greatest common divisor of x and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - b**2 + b + 6. Let t be y(0). Suppose -6 = -4*s - 3*m + 25, 5*s - 4*m = 31. Suppose s*l = -4 + 18. Solve -t*k = -l*k + 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.92 - -3072.\nAnswer: 3067.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-2))\/((-2981)\/23848)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from ukwcwuwwwu.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + b + 9 = -9, -4*b + 8 = 0. Suppose -n*p = 319 - 1099. Suppose 3*z = -3*h + p, -5*z = h - 26 - 46. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -2\/5, 20, 5, -0.2, -0.5, -1.9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 + 3*y**2 + 0*y**2)*(-6 + 5 + 3).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5*m - 3. Let n be d(-2). Suppose 57 = -2*s + n. Let o = 81 + s. What is the highest common divisor of o and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 5*c + 4. Let n(i) = -i**3 - 4*i - 11. Let g be n(-2). Suppose -5*k + a + 33 = 0, 0*a = 2*k - g*a - 27. What is z(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(2\/7))**(1\/5))**(-32\/7) assuming z is positive.\nAnswer: z**(-288\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/(h*h**(1\/4)))\/h)*h)**(6\/17)*(h**(2\/11)\/h)\/h*h*h**4)\/((h\/h**(-2\/7)*h)**20*h**(2\/3)*h**2) assuming h is positive.\nAnswer: h**(-345985\/7854)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 295 + -397 - (-14 + 0)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*i + 5*c, -4*c = -20*i + 15*i + 17. Let d = -473 - -473. Solve d = 4*l + 13 - i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 165 = 5*j - x, -j - 5*x - 51 = 0. Let v = j + 51. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-5) - (12\/20 - 2). Suppose 23 = 5*x + 3*d - n*d, 17 = 5*x + 4*d. Sort 16, x, 1 in decreasing order.\nAnswer: 16, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighty-seven halves of a meter?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 - 4*g**3 - 4242*g + 4242*g.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -11\/3*t**3 + 0*t**4 + 0*t + 0*t**2 + 7 - 1\/2*t**6 + 0*t**5. Find the third derivative of z(d) wrt d.\nAnswer: -180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2. Suppose 4*j - b - 11 = 0, 3 - 18 = -4*j - 3*b. Let t(f) = j*f - 3*f + 2*f**2. Determine t(c(r)).\nAnswer: 18*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1529200 to the nearest integer?\nAnswer: 1237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 2*r + 95 = 5*n, -5*n + 2*r = -130. Let v = n + -4. Let m be (-1)\/(1\/(-4)) + -2. Solve 2*z - v = -m*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2718, -4, -11, 0 in descending order.\nAnswer: 0, -4, -11, -2718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-147)\/84)\/(1\/(-12)). Let v be (2 + 1)\/(j\/119). What are the prime factors of (10 - v)*(-12)\/7?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -691460 by 172865.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1257 - -1249.03. Let k = i + 8. Let q = -0.01 + -0.39. What is the third biggest value in -0.3, q, k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5868003 to the power of 1\/2, to the nearest integer?\nAnswer: 2422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -28*a**3 + 6*a**2 + 11*a - 9951. Let t(i) = 90*i**3 - 18*i**2 - 31*i + 29855. Let f(b) = 11*n(b) + 4*t(b). Find the first derivative of f(c) wrt c.\nAnswer: 156*c**2 - 12*c - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/200 and -68\/75?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 315 and 2607.\nAnswer: 273735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 2360?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*j - 352601 = -1110113. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-194)\/(-4) + 4\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 249a (base 11) to base 14\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29200*y**3 + y**2 + 7472*y wrt y.\nAnswer: 175200*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 divided by 37631?\nAnswer: -160\/37631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -196516768 divided by -49129192\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27890 = -15*n + 6865. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5726 = 76*z + 5042 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55 - 51. Suppose 0*n = -z*n + 76. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**3 - 5*w**2 - 6*w - 11. Let s be h(5). Let p = 85 - s. What is the hundreds digit of (68\/10)\/(p\/20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*d**3*y**4 + 2*d**3*y + 806*d*y**2 + d + 132116*y**6 - 7*y**2 wrt y?\nAnswer: -432*d**3*y + 15853920*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55186?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -0.3.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bc when two letters picked without replacement from cczccbcccccccnb.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s - 1. Let u be i(1). Suppose -3*r = -16 - 38. Let f = u + r. Calculate the remainder when f is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 6*i + 6. Let y be x(-5). Suppose -3*t + l = -0*l - 2, 0 = -t - 3*l + 14. What is the derivative of -y - 4*b**3 + 5*b**3 + t wrt b?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 10*r**2 + 5*r - 55. What is f(8)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 41*f**2 + 38*f + 72. Determine v(40).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*w + 1827 = 0, 4*w + 943 + 8240 = 5*i. Calculate the remainder when i is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2*sqrt(147) + 4 - sqrt(147) - sqrt(147)) + 4 + 1 + sqrt(147))**2.\nAnswer: -1404 + 378*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/62830 and -49\/716262.\nAnswer: 3581310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*y**2 + 25*y**2 - 30*y**2 + 24*y**2.\nAnswer: 74*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 369786*q*t**4 + 2628*q - 20*t**2 wrt t.\nAnswer: 8874864*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007313 rounded to 5 dps?\nAnswer: 0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -583*h**6\/30 + h**4\/6 + 103*h**2 - 808*h. Find the third derivative of g(u) wrt u.\nAnswer: -13992*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 398*r**2 + 27*r - 111. Is y(3) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 < 60.304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-63)*(0\/5)\/(9\/3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - -63613?\nAnswer: 63622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.97 - -762445.\nAnswer: 762453.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*q**2 + 59*q**2 - 9*q**2.\nAnswer: 81*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 16 = -4*q, 2*r + 4 = -q - r for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1, 129, 485, 1177, 2313?\n\"Answer: 18*r**3 + 6*r**2 - 16*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3437 + 1715 - 27*a + 1722 + (-3*a + 5*a - 3*a)*(-6 + 2 + 1) in the form j*a + w and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 - -10. What is the third derivative of 2*z**5 + 5*z**2 - 7484*z + 7486*z - w*z**5 wrt z?\nAnswer: -2580*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -180*y + 306 - 48. Solve -y*u = d + 9, 27 = -15*d + 17*d - 5*u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -189\/610 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**3 - 4*h**2 + 2*h. Suppose -2*a = -6*a + 24. Suppose 4*v = v + a. Let k be z(v). Solve b - 5 = -k*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + l = 7, i - 3*i + 17 = 3*l. Suppose 0 = 5*o - i*o. Solve 2*u + 5*p - 10 = o, -p + 2*p = 5*u + 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (26\/(-1))\/(-3 - -2). Let l = -17 + f. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*k**2*y**3 - k**2*y**2 + 3*k**2*y + 958*k*y**3 + 419124*k*y + 2*y wrt y.\nAnswer: 228*k**2*y - 2*k**2 + 5748*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**2 + 13*g + 17. Let s be v(-3). Calculate the highest common divisor of 35 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70532 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/183 or 1?\nAnswer: -2\/183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -58 times 11169\nAnswer: -647802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -35*q + 394. Calculate the remainder when 314 is divided by j(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 159242 - 159242 - r + 1386*r**3 in the form u + f*r**3 + t*r**2 + a*r and give f.\nAnswer: 1386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*g - 3*g. Suppose g*c = c - 14. Let u be (-4)\/14 - 23\/c. Solve -u = -5*a + 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0502468 to four decimal places.\nAnswer: -0.0502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3753*u + 7515*u - 3763*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1382057692 to 4 dps.\nAnswer: -0.1382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.3158 - -1.6158. Which is the fourth smallest value? (a) t (b) -2\/21 (c) -3 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 2*v + 2, 5*m - 11 = -3042*v + 3041*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43*a**2*h - 100*a**2*t**3 + 999*h*t**3 - h + 547*t**3 wrt h.\nAnswer: 43*a**2 + 999*t**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86682 is divided by 7879?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 3*k**2 + 3*k - 3. Suppose 34*z = 20 + 82. What is c(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - 618.\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 5)*(v**2 + 2 - 2) - 19*v**2 - 9*v**2 + 7*v**2)*(10 - 8 - 4*v - 3).\nAnswer: 68*v**3 + 17*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 183658394 to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + 4*3*sqrt(65) - sqrt(65))*5)\/(1*(sqrt(245)\/sqrt(7))\/sqrt(7)).\nAnswer: 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/(l*l**3\/l))\/(l**(-2\/3)\/l))\/(((l*l**(-3))\/l)\/(l*l**2\/l*l)))\/((l\/(l\/l**(-2\/5)))**(-48)*(l*l**1)\/((l*l**(-1\/2)\/l*l)\/l)) assuming l is positive.\nAnswer: l**(-451\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -10878*i. Let g(a) = -2*a**2. Give d(g(p)).\nAnswer: 21756*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*w - 5271 + 26691. Calculate the common denominator of ((-1)\/6)\/((-20)\/w) and 91\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5047591 and 1585?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009268615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.369 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*f**4*g**3*h - 4*f**4*h + 3*f**4 - 8*f**2*g**2 + 29*f*g**3 - 2*f*g**2*h - 26*f wrt f?\nAnswer: 552*f*g**3*h - 96*f*h + 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14964 and 3654.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220121020112 + 1120?\nAnswer: -220121011222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 4427*x**4\/24 + 5227*x**3\/6 - x**2 + 82*x - 3. Differentiate w(i) with respect to i.\nAnswer: 4427","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -204.18822835 plus 6135.7?\nAnswer: 5931.51177165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4832 is divided by 82.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 78002864557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 486 and 324.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7929*x**5 - x**2 - x + 2795.\nAnswer: -475740*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 4:24 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33423.95 + 27669. Let i = 5751.350103 + z. Let w = 3.6 + i. What is w rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11.7 or -11643\/37?\nAnswer: -11.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x, 0*m + 2*m + 5*x - 6 = 0. Suppose 6 + 0 = -m*p. Let z = -2 - p. Solve 5*l - l = z for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-1))**30*(y**5\/y)\/(y\/(y**(-2\/7)\/y)) assuming y is positive.\nAnswer: y**(222\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94, 207, 334, 481, 654, 859?\nAnswer: 1102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 + (-39 + 34 - 82)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -53 + 10*o - 47 + 3*o**2 + 100 as c*o + r*o**2 + q and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1126*q**3 + 714*q**3 - 2260*q**3.\nAnswer: -420*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 856 + -863.86. Let q = r + -0.14. Let f = q + 8. What is the third smallest value in -1, 4, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a week in minutes?\nAnswer: 26208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 15*f**2. Let b(v) = -96 + 192 - 96 - 4*v. What is m(b(l))?\nAnswer: 240*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7557.321906 + -7601.322. Let z = 11.2 + 32.8. Let a = z + j. What is a rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**3 + 2*r**2 + r + 6. What is o(3)?\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2495752 and 6888?\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/(-1)*(-10 + (-175)\/(-10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - -4. Let j = h + -28. What is the remainder when (-75)\/2*(-8)\/10 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((6*(sqrt(2) + -1 + sqrt(2)))**2 - (-1*sqrt(2) + 0 + sqrt(2))**2 - ((5*(sqrt(2) + 0))**2 + sqrt(8) + sqrt(2) + 5))*3.\nAnswer: -4842 + 2646*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 165\/(-6)*(-149)\/(31141\/304)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -y**5\/30 - y**3\/2 - 3*y**2\/2 - 3*y. Let r(t) be the first derivative of o(t). Find the first derivative of r(q) wrt q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(-4) - -2 - -58. Suppose 5*q - 106 = -u. Solve 3*f + 25 = q*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66337457629.3760037 - 66337004504.62. Let r = 453094.756 - y. Let v = r + 30. Round v to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.284835 and 266824?\nAnswer: 266822.715165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1026 - -1025. Put g, 0.03, -0.4 in descending order.\nAnswer: 0.03, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-three thirds of a hour?\nAnswer: 27600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60707.\nAnswer: 17, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + 6. What is the remainder when i is divided by ((-484)\/(-11) + -49)\/((-5)\/9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -13*j + 272. Let b be p(21). Let r be 2\/b + 0 + 9 + 0. Solve r*c + 4*z + 7 = 4*c, 3 = -2*c - z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 47. Let r(k) = -2*k + 19. Give t(r(x)).\nAnswer: 2*x + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.119 and 10.\nAnswer: 10.119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 52, 90, 142, 214?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -6\/29 (b) 0 (c) 5\/4 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/90*33\/(-44)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6572395 (base 10) in base 15?\nAnswer: -89c59a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2327 + -2256. Solve -316 = -49*h - d for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 0*x - 5*t - 5, -3*t = 21. Calculate the remainder when 83 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -418112414*j**6 - 22*j**2 + 31*j - 87 wrt j.\nAnswer: -50173489680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47030148.\nAnswer: 2, 3, 11, 113, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 1)*(-1 - 3 + 0)*(-2*w + 0*w - w)*(23 + 1 - 196) in the form a*w + j and give a.\nAnswer: 4128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 26832168666824 and 0.3.\nAnswer: 26832168666824.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 8*y + 1211 = 4*l, 2*y = 4*l - 1214. Calculate the remainder when (-12)\/(-42) + l\/14 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*g**2*h*q + 133*g**2*q**3 + g - 2728*h*q + q**3 - q wrt g.\nAnswer: 10*g*h*q + 266*g*q**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (145\/58)\/(5\/(-6)*-4)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 4. Let f = 3.8 - 24. Let v = 20 + f. Which is the third smallest value? (a) g (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10614 + 42233\/4. Let g = a + 59. What is the common denominator of -21\/8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(3*2\/(-3)). Suppose 2*d - d - 107 = a. Let m = d - 28. Calculate the remainder when m is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(175)\/sqrt(7))\/sqrt(5)*-2 - ((sqrt(5) + -3 + sqrt(5))*3 - (3 + sqrt(5)*2)))*3)**2.\nAnswer: -1620*sqrt(5) + 3645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.41 less than -0.49268?\nAnswer: -0.08268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/9 - 2\/(-3). Let m(x) = 2 - 1 + 10*x - o. Let n be m(1). What is the highest common factor of n and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/35 and -43\/345.\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5 = 1. Differentiate -7*z**w + 7 + 4 + 4 - 3*z**2 wrt z.\nAnswer: -20*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21186775 is divided by 22757.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f + 42. Let j be p(13). Suppose -5*a - 4 = -29. Suppose -5*v - 25 = a*t - 6*t, -j*t = -4*v - 31. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/1*6842\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*s - 11 - 36*s - 19*s to the form d + h*s and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -1\/16131389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 99, -101, -615 in decreasing order.\nAnswer: 99, 29, -101, -615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2298*k + 39*k**2 + 4599*k - 25*k**2 - 2301*k. Let m(o) = -o - 8. Calculate m(d(v)).\nAnswer: -14*v**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.82 and 1.\nAnswer: 3.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-13 + 14 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**6*x**(-6))\/((x\/(x\/(((x\/x**4)\/x)\/x)*x))\/(x\/(x*x*x\/(x**0\/x)*x))))**9 assuming x is positive.\nAnswer: x**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1400031020 to the power of 1\/4, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 11:06 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-154)\/315 + -3*10\/75. What is the nearest to p in 3, 1, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -267*c - 93. Let k be d(-5). What is the greatest common factor of k and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 7*t**2 - t + 9. Let f be x(7). Suppose -2*l - 3*w + 61 = -0*l, -4*l + 4*w + 72 = 0. Solve 5*n - f = l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 30090, 120197, 270364, 480591, 750878, 1081225?\n\"Answer: 30030*s**2 + 17*s + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/(-33) + (-1324)\/(-22) is divided by 47?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80401123879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 12*k**3 - 7*k**2 + 7*k - 19. Let p(l) = 4*l**3 - 2*l**2 + 2*l - 6. What is -2*d(g) + 7*p(g)?\nAnswer: 4*g**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - d - 17 = 0, 5*d - 16 + 5 = 4*h. Put 5, h, 1 in descending order.\nAnswer: 5, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.03, 3, 2\/8061 in descending order.\nAnswer: 3, 2\/8061, -0.03, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -16*w**2 + 3*w - 55. Let z(x) = -2*x**3 - 12*x**2 + 3*x - 55. Determine 3*r(y) - 4*z(y).\nAnswer: 8*y**3 - 3*y + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 1403 + 1421 + 2*a - 2811. Calculate h(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-638 - 1157 - 1001)*(-2*r + 2*r + 2*r) as h*r + q and give h.\nAnswer: -5592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -430.1044 to the nearest 10.\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 368 = -6*y - 136. Let t be ((-2)\/6)\/(14\/y). Let h = -12 + 8. What is the second biggest value in h, t, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 74*r**3 - 23.\nAnswer: 74*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**3 + 11*g**2 - 11*g + 5. Let n(y) = -3*y**3 + 12*y**2 - 12*y + 5. Let s(v) = -3*n(v) + 4*t(v). Determine s(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2750 + 24748\/9. Put -136, s, 0.1, -1\/7 in ascending order.\nAnswer: -136, s, -1\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {q: 2, n: 8}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-36))\/((-3)\/((-27)\/(-6)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmd when three letters picked without replacement from yxxdyyxymmmyxmmm?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.232 + -0.732. What is the second biggest value in -1, m, 15?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 55 = 5*l, -l + 43 = 7*p - 3*p for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -113 - -115. Suppose 2*c - 5*b + 54 = 322, -5*c = s*b - 670. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2000995.47 - 0.405.\nAnswer: 2000995.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -13*a + 18*a, 0 = -3*z + 3*a + 252. Let r(h) = 0*h + 3*h - 2*h. What is the remainder when z is divided by r(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**6\/120 - 7*r**5\/60 + r**4\/24 - r**3\/3 - 8*r**2. Calculate q(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, -10, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 - -39) + 0 + -49 - (14 + (-17 - 7))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y - 87. Let t be f(15). Is (3648\/t - 2)\/(10\/(-35)) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 + -43. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 12 = -6. Suppose 5*g = -4*l + 27, 2*g + l - b - 3 = 0. Solve -5*f - 6 = -g*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 41.69825us?\nAnswer: 0.00004169825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 151 and 585659993.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(144)*2 - sqrt(144))\/(sqrt(90)\/(sqrt(40)\/sqrt(4))))\/((sqrt(128) - 4*sqrt(128)*-5)*2).\nAnswer: sqrt(2)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -105\/8 (c) 3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2245, -2238, -2215, -2170, -2097, -1990, -1843, -1650?\nAnswer: -1405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-1)\/3*-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7570*u**5 + u**3 - 543*u**2 - 18421838*u?\nAnswer: -151400*u**3 + 6*u - 1086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 5088263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 204331647?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -45\/2251 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6991210 a multiple of 314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -6 + (15 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4\/13, -0.5 in decreasing order.\nAnswer: 1, -4\/13, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 48\/26 + 20\/130. Suppose 3*d + 3*k - 19 = d, r*k - 14 = -2*d. Let b(q) = 2297 - 2297 - 10*q**d. Let n(s) = -s. What is b(n(y))?\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - r - 1 - 1, 21 = u - 5*r. Let a be (u + -1)\/(1 - 4). Suppose -6*t + 244 - 40 = a. What is the greatest common divisor of 17 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czlg when four letters picked without replacement from {c: 4, z: 1, g: 3, l: 2, m: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**7\/1680 + 7*p**6\/720 + p**5\/40 + 2*p**3 - 139. Let o(c) be the third derivative of i(c). Suppose o(z) = 0. Calculate z.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 9:41 AM?\nAnswer: 199","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 134751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -45.67103 and -22151.\nAnswer: -22196.67103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**4\/6 + 79*h**3\/3 + 2*h**2 - 205. Give j(-41).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -6*d**2 + 4307*d + 12977. Calculate t(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.31, -1\/8, 1\/2 in ascending order.\nAnswer: -1\/8, 1\/2, 3.31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 2 = -5*s. Let w = -172 + 166. Let y(a) = 6*a + 44. What is the lowest common multiple of y(w) and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 8 = -m - a, -m - 4*a + 15 = 0. Let l be 2 + (2 + m - 4). What is the units digit of 4\/(-3)*(-7 - l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12338709?\nAnswer: 3, 4112903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4969444 is divided by 1656424?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88170, -88208, -88270, -88368, -88514?\nAnswer: -88720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27.519 + -4.119. Which is the closest to 0? (a) 5 (b) y (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -8*g - 7. Let b(q) be the first derivative of -15*q**2\/2 - 14*q + 7. Let w(z) = -4*b(z) + 7*h(z). What is the derivative of w(a) wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 + 5*i - 6. Let z be w(5). Let t = -346\/5 + z. Which is the closest to -0.1? (a) 3 (b) t (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 6. Let w(n) = -9*n**2 - d*n**2 + 20*n**2. Let j(u) = 6*u. Determine j(w(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y - 173599 + 173599 + 5*y + 5*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2167 and 0.05.\nAnswer: 108.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 43561703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -2 - 19 - ((-30 - -43) + -6)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 34 (b) 3\/4 (c) 0.5 (d) 7 (e) 4\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 0.2. Let t = -2 - z. Let c = t + 2.04. What is c rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o + 29*o**2 - o + 4*o**2 + 5*o**2.\nAnswer: 38*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1123 (base 5) to base 9\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22150962 and 1.\nAnswer: 22150962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/(s\/(s\/((s**(-8)\/s)\/s))))\/s)\/s*s*s)**(7\/10)*s*s*s\/((s\/s**17*s)\/s)*s**(-2\/71))**31 assuming s is positive.\nAnswer: s**(587047\/710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153 divided by 21.\nAnswer: -51\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63334, -65239, -68402, -72817, -78478?\nAnswer: -85379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*s + 5, -3*w = -4*w + 5*s - 5. Suppose w = 2*x - l - 8, -2*l = -x - 0*x + 10. Suppose -x*r = 3*r - 55. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4\/555215 - 39349752671\/3331290. Let o = 11853 + a. Factor 70*m - o*m**2 - 30.\nAnswer: -5*(7*m - 6)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1389180 and 478404?\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/20 + (1323252\/120)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = -4*a - q, 0 = -5*a + 4*q + 34 + 76. What is the common denominator of -4 + 188\/(-11)*a\/(-52) and -23\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0, 274, -14, -3.\nAnswer: -14, -11, -3, 0, 274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 16*w**2 + 18*w - 541. Let k(m) = 21*m**2 + 30*m - 541. Let r(g) = 3*k(g) - 4*z(g). Give r(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gavu when four letters picked without replacement from xxuagbbbubvubbbbbb?\nAnswer: 1\/24480","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/1598045 and -83\/119480.\nAnswer: 12784360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -284c (base 16) to base 6.\nAnswer: -115432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 68008*z**2 - 408120*z.\nAnswer: 2*z*(z - 34010)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*((-1 - -226) + -2). Round y to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5*m**2 - 2*m - 4. Let r be d(3). Let j = 59 + r. Calculate the highest common divisor of j and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1775 + 1757 = 0. Let w = 30 + 19. Find the second derivative of w*k**4 + 0*k - s*k + 15*k wrt k.\nAnswer: 588*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of 1\/1512*n**8 + 0*n + 0*n**5 + 12 + 0*n**3 + 0*n**4 - 3*n**2 - 1\/945*n**7 + 0*n**6. Factor g(c).\nAnswer: 2*c**4*(c - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1315 = -3*j - 5*h + 30, 5*j - 3*h = -2187. Which is bigger: j or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 15*m**4\/2 + m**3\/6 + 506*m**2. Let v(i) = -2*i**2. Determine j(v(s)).\nAnswer: -360*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 2*l + 6, 3*r + l - 3 - 4 = 0. Let a(o) = 2 + r - 6 + o. Let n(f) = 2*f**2. Give a(n(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10856 divided by 23.\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 50 + 27 = 2*g, 5*g = 4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54.1 + -49.1. Which is the biggest value? (a) 9 (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 5997557.\nAnswer: 3\/5997557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 1:16 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1202*s = 484*s - 521*s - 36115 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-84)\/(-105))\/4)\/(16\/10)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 17 = -3. Let p be ((-2115)\/h)\/((-6)\/40). Round p to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*4)\/(5 + 24\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 132768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 10*b + 13. Let i be ((-13)\/39)\/((-10)\/(-240)). What is m(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 - 52.096. Let m = n - 0.104. Let l = 0.47 - 0.34. Which is the closest to l? (a) 5 (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1152 and 98784.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(-6*sqrt(12)\/sqrt(2)) + -4)**2 + (sqrt(847) + 1 + 1 - (-5*(sqrt(847) + 0) - sqrt(847))**2) + 5.\nAnswer: -1096877\/36 + 37*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 193.873 - 194. Let s = n - 0.373. Which is the second smallest value? (a) 1\/4 (b) s (c) -4 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47 - -40) + -22 + 44 - (-1 + 96).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*c = -x - 279*c + 4, 2*x = -3*c - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-1\/2)*n\/(n*n**(-1\/5)))**3 assuming n is positive.\nAnswer: n**(51\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*r + 69 - 429. Let a(t) = -t - 1. Let i be a(-4). Let d = i - r. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 15*u**2 - 47*u - 127. Calculate r(18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2575?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 13*r + 56. Let q be t(-16). Let f = 86 + -58. What is the greatest common divisor of q and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 27. Suppose 5*x = -2*r + 35, -9*x + 4*x + 30 = r. Suppose 135 = -f*a + 2*a - l, -r*a + 335 = -3*l. What is the greatest common factor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 284 and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a decade in years?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 390420 and 34830.\nAnswer: 16788060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*q**3*s*w + 89*q**3*w**2 - 92*q**3 - 3*q**2*w - 48274*q*s*w**2 + q*w**2 wrt s.\nAnswer: 7*q**3*w - 48274*q*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7265, -7376, -7487, -7598?\nAnswer: -7709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 2) + (14 - 6). Solve -18 = 2*u - 4*s, 0 = -2*s + s + q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36531 - -36527.43679. Let d = -0.89 + -2.67. Let i = r - d. Round i to 4 decimal places.\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 97317 - 97316.7. Let m be (-12)\/16*(-1)\/(-3). What is the nearest to -1 in m, x, 3, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5*((sqrt(363) + ((1 + sqrt(363)*-4 + sqrt(363))**2 - sqrt(363)) - sqrt(363)) + -3).\nAnswer: -385*sqrt(3) + 16324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 != 281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 486*t + 1087 - 4567 = 7212 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, e: 1, l: 1, x: 2, s: 2, d: 1}. What is prob of picking 1 s and 1 x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 787 - -27?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 45034031 (base 6) in base 16?\nAnswer: 14b7e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*m = -2. Suppose 4*b - 4 = 5*b + 2*s, m*b = 3*s + 13. List the prime factors of ((-2256)\/20)\/(b\/(-5)).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -327*h**2 + 143?\nAnswer: -654*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 144 + 51?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 49183 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2132 - 2140) + (-9 - (-1 - 1 - -2))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -366503, -366057, -365315, -364277, -362943, -361313?\nAnswer: -359387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = w - z + 3*z, -4*z + 20 = 3*w. Suppose 5*h = 23*k - 18*k + 20, 4*h + 5 = k. Sort w, 0, h in decreasing order.\nAnswer: w, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(76) + 1 - sqrt(76)) + -5 + -1)**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23526960 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -57 + 57 + 15*b in the form y + r*b and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80 - 1623 + 75 - 176*d + 181*d - 244.\nAnswer: 5*d - 1712","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2. Let i(u) = 107354*u**2. Give i(b(c)).\nAnswer: 429416*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -15*j**2 + 17*j + 23 - 2*j**3 + 3*j**3 - 12*j**2. Let t be z(26). What is t rounded to the nearest 10?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1133 and 17407.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and -284239446214?\nAnswer: 284239446211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**3\/6 - u. Let z(l) be the second derivative of -7*l**3\/3 + 2*l + 9. Give z(f(w)).\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -16*d**2 + 3*d - 15. Let s be x(1). Let y = -4 - s. Calculate the remainder when 96 is divided by y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 489.78999 seconds?\nAnswer: 0.136052775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (7 - (4 + -1)). Suppose 3*r - 1 = -2*g, -3*g + 4*g + 1 = -2*r. Suppose -25 = -h + 6*h. Put l, r, h in increasing order.\nAnswer: h, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**2 - 6*a**2 - 2*a**2)*(12*a**3 - 6*a**3 - 3*a + 6*a).\nAnswer: -24*a**5 - 12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 390 (base 12) to base 11\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (28 - (9 + 8))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-256)\/(-10) + (-2)\/(-5). Suppose -f - 4*f = -25. Solve 1 - a = -f*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*123957\nAnswer: 247914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -191*p + 26*p**2 - 206*p + 24*p**2 + 139*p - 55*p**2 in the form w + q*p + j*p**2 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/5 - 834*q\/5 - 5076\/5.\nAnswer: 2*(q - 423)*(q + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 2*m + 95. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -87 + 190. What are the prime factors of y?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.2 and 851600?\nAnswer: 851603.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 12:55 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552783733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 - -44. Let i be 66392\/4 - (0 - g). Round i to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 6*t**2 - 4. Let v be f(-6). Let r(l) be the first derivative of l**4\/4 + l**3 - 3*l**2 - 2*l - 12. What is the units digit of r(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-115)\/299 + (-3009)\/(-2652). What is n in 0 + 0*n + 3*n**4 + 0*n**2 - k*n**5 - 9\/4*n**3 = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 318305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22631 = -137*b + 84*b. Which is smaller: 426 or b?\nAnswer: 426","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2474579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (8 - 21 - 12)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -50523248.49258 less than -8?\nAnswer: 50523240.49258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 1:11 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -3\/2, -1, 6\/7, -6, 15, 1 in descending order.\nAnswer: 15, 1, 6\/7, -1\/2, -1, -3\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 366 - 366. Solve 6*s - 8*s - 8 = u for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2405 is divided by 2357?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/110 and (-1784)\/(-242) + -25 + 18.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**2\/8 - 5337*d\/4 + 287469\/8 = 0.\nAnswer: 27, 10647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 867 = -5*f - 8, -4*f - 2*m + 686 = 0. Round f to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 260 and 8918?\nAnswer: 89180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -10*j**5 - 13*j**4 + 10*j**3 + 26*j**2 - 10*j - 3. Let w(a) = -a**5 - a**4 + 2*a**2 - a + 1. Let b(d) = -4*s(d) + 20*w(d). Let b(g) = 0. Calculate g.\nAnswer: -8\/5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.00791*-169218\nAnswer: -1338.51438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14991, 1933, -11125?\n\"Answer: -13058*n + 28049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 200444 (base 5) in base 15?\nAnswer: 1d4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 1827936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57873 is divided by 2493?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3818 and 9844?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a microsecond in nanoseconds?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*x - 26 - 17*x + 8*x + 5*x to the form k + v*x and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**5\/20 - y**4\/4 + y**2\/2 - y. Suppose -18 = -4*m + t + 1, 5*m + 2*t = 14. Let f = m - 7. Calculate s(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*n + 137 + 510 = 0, -4*j + 519 = 3*n. Suppose 2*o = -o + j. Suppose -3*p = -8*p + 55. What is the remainder when o is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.2227897 rounded to two dps?\nAnswer: 24.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52893 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 9:43 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 11*o - 9*o = -180, -2*o = 12. Solve 11*x = -u + 20 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -286170.\nAnswer: -1\/95390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 56 = 5*f + 25, 5*o + 25 = 3*f for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 68067831191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*g + 39*g - 81. Let u(z) = -z**3 - 13*z**2 - 34*z + 15. Let x be u(g). Let n(l) = -l**2 - 6*l - 1. Give n(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + i - 16 = -b, 5*i = -2*b + 38. Suppose i = 3*y - 0. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**4\/30 - a**2\/15 + 22. Let k(n) = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 + 3*t**3 + 14*t - 15*t - 3*t**2. What is the remainder when 34 is divided by c(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1419 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2 - 19*d - 12. Let k be f(-9). Let p(m) = m**3 + 2*m**2 - 5*m - 4. Determine p(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of u**4\/2 - 17*u**3\/3 + 10*u**2 + 14*u + 213. List the prime factors of b(12).\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.028, 32, 0, -0.4 in descending order.\nAnswer: 32, 0, -0.028, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sk when two letters picked without replacement from sskskkssssssks?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0053939252 rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1085, 1065, 1033, 983, 909, 805?\n\"Answer: -x**3 - 13*x + 1099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 - (-19 - -12))\/(4\/110402) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 327 = 215 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -2016.7 (c) 0.1 (d) -10 (e) -0.5 (f) 5 (g) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -109 + 186. Put j, 1, 2 in decreasing order.\nAnswer: j, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r - 7*r + 3*r)*(0 + 2 - 4)*(4 - 2 - 5)*(2 + 0 + 0) to the form o*r + s and give o.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 2*k + k)*((-2*k - k + 4*k)*(2*k**2 + 2*k**2 - 5*k**2) + 7*k**3 - 4*k**3 + k**3) + 1 + 2*k**4 - 1.\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5 + 7 + 0*l + 2 + l. Determine b(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 14 + 84 + -79.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310 = 4*o - 8258. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 82 = 8. What is the highest common divisor of l and 240?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 72 - 100. Suppose 62 - 10 = 4*h - t, -5*t + v = 4*h. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 6 = 4. Suppose -4*l + 10 = g*h - 6, 4*h - 16 = 0. Let c be l\/14 - 170\/(-35). Solve c*w = 11 + 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - (-198)\/(-549)*462\/28. Let o = 2 - 3. Which is greater: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/10 (b) 2 (c) -151\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2289042*h - 3*t + 27 = -2289039*h, -3*h = -6*t + 9 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -0.0821?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3\/3 + 6860*p**2\/3 - 2*p\/3 - 6860\/3 = 0. Calculate p.\nAnswer: -3430, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-8))\/(-3*2*(-8)\/288)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 + -67\/2. Let v(m) = -m**3 - 4*m**2 + 2. Let s be v(-4). Suppose -13 = -0*d + s*d + 3*w, -5*d + 15 = -2*w. Is i greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26208 divided by -56.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 40871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*j**3 - 1 + 5*j**3 + 10*j**3 + j**3 + 0*j**3 - 2*j**3 + 0*j**3 - j**3 - j**3 + (-j + 3 - 3)*(3*j**2 - j**2 - 3*j**2) + j**3 + j**3 - 3*j**3.\nAnswer: 22*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -0.04229?\nAnswer: 1.95771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i*l*s - 48*i*l - 279116362*i*s + 64*l*s + 43*l + s wrt l.\nAnswer: -2*i*s - 48*i + 64*s + 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 6 = 3*g, 3*b - 5*g = -3 - 3. Solve 2*n + b*n = -15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*p = 28*p + 100. What is the third derivative of 17*o**2 - p*o**2 + 12*o**2 + 12*o**5 wrt o?\nAnswer: 720*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*n - 3. Suppose -2*f - 15 = -7*f, 5*x - 198 = n*f. What is the greatest common factor of x and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 134\/65 - 739\/390. Which is the fourth biggest value? (a) 3 (b) 0.5 (c) -1 (d) k (e) -0.18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1357 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27398 and 4465874?\nAnswer: 4465874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -46748, -46137, -45526, -44915, -44304, -43693?\n\"Answer: 611*z - 47359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 38*m**2 - m + 28. Determine r(38).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.89 - -0.11. Let k = 0.1 + -0.4. Let q be (-16)\/(-90) - 6\/15. Sort m, q, k.\nAnswer: k, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221779 is divided by 1253?\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2916, -4, -1265, -3 in descending order.\nAnswer: 2916, 3, -3, -4, -1265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1293 - -1286. Which is the nearest to -0.1? (a) o (b) 12 (c) 2 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 21512, 41180, 60848, 80516, 100184?\n\"Answer: 19668*h + 1844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18417 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -10 + (-32 + (41 - 19) - -47).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 12:05 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, s: 8, q: 1, m: 2, y: 2}. Give prob of picking 2 y.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a**2 - a**2 + 2*a**2)*(163 + 70 - 100)*(-1 - 2 + 0) + a**2 + a**2 + 6*a**2 to the form l + f*a**2 + i*a and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b**2 - 2. Let g = -1098 - -1092. Let x(u) = 5*u**2 + 3. Give g*l(z) - 5*x(z).\nAnswer: -z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10*-1*8\/(-140). Sort 0, z, 4 in increasing order.\nAnswer: 0, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/57679 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/4*(-6)\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 751 = -644. Suppose -58 = -14*y - 1710. Let o = y + g. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1320 and 110.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -347 + 347 + 15*f. Let i(u) = -2*u**2. What is l(i(x))?\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -648\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33148 decades in millennia?\nAnswer: 0.0033148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-56)\/(-15) + 12\/135*2034\/(-452). Determine v so that -194\/3*v**2 - 880\/3*v - k*v**3 + 200 = 0.\nAnswer: -10, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/48 + (-147)\/(-8) + 9. Let f be (4\/10)\/((-5)\/(-25)). Suppose f*m = m + 63. What is the greatest common divisor of h and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-35)\/2 - 8\/16. Let c = g + 7. Is -9 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of b**4\/4 + 3*b**3 + 7*b**2\/2 + 2*b + 1. Let y be z(-6). Suppose 0 = -2*f + 6*f - y. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 262?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**5 + 26*w**4 + 102*w**3 + 134*w**2 + 56*w.\nAnswer: 2*w*(w + 1)**2*(w + 4)*(w + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/6*-16 + 3. Suppose -24 = -4*r - 3*h, 3*r - 7 = 5*h + j. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2826 divide 320293188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2156207366 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s. Give d(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 628\/3 - 596\/3. Let w = 65\/6 - z. Let p = -13 - -14. Which is the closest to p? (a) w (b) -0.2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*10*(-96)\/180\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eatqtataqafqsas. Give prob of picking 3 a and 1 q.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6486, -13166, -19860, -26568, -33290, -40026?\nAnswer: -46776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 477 = -2*c. Suppose 4*g = -3*f + c, -g + 3*f + 93 = g. What is the remainder when g is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23291112 - -8791112. What is m rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22167 - -67352\/3. Let y = -284 + r. What is the smallest value in 3\/8, y, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7 and 29.4482.\nAnswer: 22.4482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 78 - 62. Let m(h) = h**2 + 5*h + 1. Let k be m(-7). Suppose -n = -19*a + k*a. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 24*h + 68. Let k be c(-21). Solve -k = -d - 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, n: 5, f: 2, t: 7, i: 3}. Give prob of sequence nmnt.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-10) - 5\/10. Let z = 0.02 - -0.18. What is the nearest to z in 3\/8, d, 4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62805265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102110 - -112?\nAnswer: -101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 37*k**2 + 2*k + 2. Let h = -29 + 28. Let r be z(h). Let b = r + -27. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, i: 1, o: 4, e: 4}. Give prob of sequence eet.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1092*y + 539*y = -2*a - 556*y - 10, 2*a + 10 = -4*y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -2*j**2 + 3*j + 281. Let o(b) = 4*b + 14. Let g be o(-3). Determine z(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzzmmmjmzmmjjzmmk. What is prob of picking 2 k?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -56 + 12 + 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1248*y = -7745 - 19711 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1539))**2 + sqrt(19) - ((-6*(sqrt(19)*-5 + sqrt(19)))**2 + sqrt(19))) + -3.\nAnswer: -14025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16878 by 5.\nAnswer: 16878\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9963 and 5207.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 143784 times 3?\nAnswer: 431352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.7, 1677, -7 in decreasing order.\nAnswer: 1677, -0.7, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 452.838 from -0.3.\nAnswer: -453.138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 66*a + 67*a = 82, 4*u - 3*a - 74 = 0. Solve -2*g + 3*y - 13 = 0, 14 = -3*g - u*y + 19*y for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -675, -679, -685, -693, -703, -715?\nAnswer: -729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 590276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -32. Let s = v - 24. Let a(u) = -u + 7. Let t(o) = -o + 6. Let p(h) = -2*a(h) + 3*t(h). Determine p(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2501017619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 432214811 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*q - 8781 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -10 + (-2 - -4) + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-7)\/((-84)\/8))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r**5\/7 - 15667*r**4\/7 - 703481*r**3\/7 - 1104823*r**2 + 740830*r + 3267104\/7 = 0. Calculate r.\nAnswer: -3088, -23, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (40\/6)\/((-4)\/66). Let h = -75 - a. Suppose -w + 61 = 3*v, 3*w - 1 = 2*v - 16. What is the remainder when h is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-2)*(24\/126)\/(4\/(-30)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**3\/4 + 726*y**2 - 11472*y + 45696 = 0.\nAnswer: 8, 952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (30\/25)\/((-6)\/20). Which is the third smallest value? (a) 2\/9 (b) r (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -4583*d**3\/3 + d**2\/2 + 1794*d + 12894. What is the second derivative of v(j) wrt j?\nAnswer: -9166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, -6, 7, -0.06, -0.1, -0.19?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l**2 + l + 8. Let s(x) = x**2 - x - 1. Let f(o) = -5*s(o) - y(o). Factor f(j).\nAnswer: -(j - 3)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*s - 4669618 + 16*s + 4669618.\nAnswer: 84*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-4 - (0 + -5)) - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/63 + 803\/33?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 512 = 5*r + 530, -3*r - 5*l - 3 = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13\/6 in 0.8, 2, -0.801?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12699 is divided by 87?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 1. Let s(y) = 6*y - 69. Let q(r) = -8*r + 88. Let t(n) = -4*q(n) - 5*s(n). Calculate 5*a(w) + t(w).\nAnswer: -3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33227.\nAnswer: 149, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 15 = 0, -5*z + 18*i - 22*i - 22 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**7\/2520 - w**6\/120 - w**5\/40 + 13*w**4\/24 + 17*w**2. Let x(p) be the second derivative of t(p). Determine x(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*o**3 + 11*o + 389 - 387 - o**2 - 10*o in the form y*o**2 + b*o**3 + k*o + t and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 31*l**2 - 2*l - 26. Let y(m) = -88*m**2 + 6*m + 78. Determine -17*v(c) - 6*y(c).\nAnswer: c**2 - 2*c - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 12) to base 2.\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 1 - 18 = -2*u, -2*d = -2*u - 2. Suppose -d*r + 5*r - 40 = 0. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/9581 and 13\/198?\nAnswer: 172458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17170887.4 rounded to the nearest ten thousand?\nAnswer: -17170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1600*o**2 - 21009*o - 133005264?\nAnswer: 3200*o - 21009","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 16*w**2 - w - 26. Suppose -4*j = -4*g - 568, 5*j - 460 = -2*g + 236. Let q(f) = 5 - j*f + 140*f - 3*f**2. Give 11*q(m) + 2*x(m).\nAnswer: -m**2 - 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 5*f = -0*f - 11, 0 = -2*c + 5*f + 19 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 2*q**4 + 3*q - 3 + 0*q to the form z*q**2 + o*q + n*q**3 + u*q**4 + f and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002682599844 to 5 decimal places.\nAnswer: -0.00268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-33)*7*(-30)\/70.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1916*g - 39*g**3 + 1916*g.\nAnswer: -39*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-79)\/18 - 182\/2457) + (-2)\/(-4). Is -5 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3878.049 litres?\nAnswer: 3878049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**3 - 31*y**2 - 9*y - 23. Determine s(-9).\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**11)**22 assuming l is positive.\nAnswer: l**(-242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.054 + 0.054. What is the smallest value in a, -0.5, 2, -0.15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 45*d**2 + 98*d - 186. Let w be u(47). Solve -w*r = 3*o + 2*r - 12, -4*o + 5*r = -16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -151076, -302180, -453284, -604394, -755516, -906656?\n\"Answer: -d**3 + 6*d**2 - 151115*d + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 13*o - 6. Determine u(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*y - 1. Suppose 0 = -y*z - 0*z - 3. Which is the second smallest value? (a) z (b) 2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2. Let z(w) = -3*w**2. Let b(k) = t(k) - z(k). Let o(n) = 2*n**2. Calculate -2*b(d) + 3*o(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4*(c*c**(1\/3)\/c)\/c)\/(c**2\/c)**(11\/3) assuming c is positive.\nAnswer: c**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10860800 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -482285, -964577, -1446869?\nAnswer: -1929161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5597*z**4 + 20247*z**2 - 137870240?\nAnswer: -22388*z**3 + 40494*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -554 = -252*k - 302*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -7.2?\nAnswer: 10.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153091146?\nAnswer: 2, 3, 13, 1962707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1452016, -2904388, -4356760, -5809132?\n\"Answer: -1452372*u + 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 151160388 to the power of 1\/3, to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -22, -86\/9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*o = -4*o + 13, 0 = -3*r - 2*o + 6. Let d be 2\/r - 297\/(-2). Is d\/(-2)*(-1 + -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/((-308)\/3234) - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -6961.21.\nAnswer: -13922.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1638 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3038 and 236.91141.\nAnswer: 3274.91141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3496669\/5 or 699335?\nAnswer: 3496669\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5716 + 5731. Let d = -9 - -18. Calculate the remainder when p is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/1792 and 1\/2816?\nAnswer: 19712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, h: 1}. Give prob of picking 3 v.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-36)\/(-8))\/(-9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72 + 77. Suppose -h*p + 9*p - 8 = 0. Suppose 7 - 15 = -2*v. Solve -2*t + f - v = 0, 4*t - p*f + 8 = -f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2146 = -l, 32 + 402 = c - l. Let s = c - 244. Calculate the least common multiple of 22 and s.\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5085312 divided by -2432?\nAnswer: 2091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 6)*(0*v**2 + v**2 - 2*v**2).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**4 - 31*k**3 - 67*k**2 - 48*k. Let s(h) = 8*h**4 + 216*h**3 + 468*h**2 + 336*h. Let g(u) = -20*l(u) - 3*s(u). Determine p so that g(p) = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 248 - 143. What are the prime factors of v?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d**2. Suppose 5*t - 32 - 18 = 0. Let s(m) = t*m - 6*m + 0*m. What is z(s(v))?\nAnswer: 80*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*u + 30, 2*u = 3*v + 14 - 16. Is u\/(35\/(-54983)) - 6\/(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + c**2 + 2*c**2 - 3*c**2 - 124 + 47*c**3.\nAnswer: 47*c**3 - 2*c - 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.27257 centuries to months.\nAnswer: 26727.084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -9. Suppose -w*x + 7*x = -9. Let l(s) = 2*s**2 - s - 2. Calculate the remainder when 35 is divided by l(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 314*g**2 + 4*g - 6. Let s be j(2). Let a = s - 587. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23001.\nAnswer: 3, 11, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12075744 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2730 + 2732. Let a = -3 - -8. Solve -d + k*d = -a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 2168?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52.3 + 2.3. Let y = u + 75. Which is the closest to -0.2? (a) y (b) -0.4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(4)*-2) - (sqrt(550) + sqrt(22))\/sqrt(11).\nAnswer: -13*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aazaaaazzzaz.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525787 is divided by 2482.\nAnswer: 2085","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 8*f**2 + 6*f - 4. Let s be j(-7). Suppose -s*v - 12 = 12. Let y be (v\/5)\/((-4)\/10). Solve -4*r - 4*q = -12, -y*q + 0*q = -r - 17 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 98 + -54. Let p be (1\/2)\/(2\/f). Suppose -49 = -p*c - 5. Solve 3*r - 3*x + 3 = -0*x, 3*r = -c*x + 32 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 4*u. Let m(p) = -p - 1. Let k be m(-3). Let w be (k\/(-2) - -1) + 2. List the prime factors of l(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35686*h**3 - 28040.\nAnswer: 107058*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -r + 45. Suppose -2*j + p = -62, -149 = -5*j - 2*p + 3*p. Calculate the remainder when j is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/3)*g*g*g*g**(-1)*g)\/((g**(-2)*g)\/g*g\/g**(-1)) assuming g is positive.\nAnswer: g**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 12*k**2 + 8*k + 4. Let p(s) = s**3 + 8*s**2 - 8*s. Let u be p(-9). Let g be t(u). Let r = -110 + g. List the prime factors of r.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 1 - 2 = -3*n, -4*n + f = -9. Suppose 3*g + 21 = -3*h, -2*h - n*h = -2*g + 21. Let i(a) = -5*a**2 - a**3 + 4*a - 3*a + a + 4 + 1. Give i(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 80\/63 and -76\/22203.\nAnswer: 155421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 125 + (0\/(-3))\/1. What is the highest common factor of 50 and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 280 (c) 0.09 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 14*c**2 + c + 19. Let d be h(14). Let i(b) = 3*b - 104. Let l be i(d). Sort 0, l, 7, 4 in decreasing order.\nAnswer: 7, 4, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3026 and 2314.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35 take away -5352791?\nAnswer: 5352790.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30045544 divided by -7511386.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((7 - 2) + -11) - 12\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8028, -8030, -8032, -8034, -8036, -8038?\nAnswer: -8040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3073 + 3116. What is the remainder when 1243 is divided by c?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-1)*q*q**(-6))**(-48) assuming q is positive.\nAnswer: q**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 230709672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1003, 4011, 9025, 16045?\n\"Answer: 1003*s**2 - s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55 + 50. Let h = 900 - 900.5. Let f = 0.1 + -0.5. What is the smallest value in 2\/13, p, h, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.845 rounded to one dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 11 - 32) + (5 - -19)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17301 and 158.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 4, -2*y + 143 = -4*n - 253. What is the greatest common divisor of 3325 and y?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 1. Let s(o) be the third derivative of -o**4\/24 - o**3\/3 - o**2 + 6*o. What is -4*b(f) + 3*s(f)?\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.004829 + 2.0358. Let z = 0.031 - u. What is z rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 7:37 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 30*r**2 - 140*r + 875. Is i(28) a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*y - 4*y. Suppose -10*o + 6*o + 36 = y. Calculate the highest common factor of o and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 - 4*i**2 + 2*i + 1. Let n be ((-1)\/3)\/(1\/(-6)). Let l be u(n). Let d = -76 - -76. Solve z - l*z - 12 = d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(153)*-2*1)\/((1*sqrt(45))\/sqrt(5)) - ((sqrt(187)*2*-6)\/sqrt(11)*-2)**2).\nAnswer: 6*sqrt(17) + 29376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1406, 5632, 12676, 22538, 35218, 50716?\n\"Answer: 1409*y**2 - y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*s**5 + 7*s**3 - s**2 + 28*s wrt s?\nAnswer: -300*s**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 11 = -a - 5*c, 0 = -5*a + 3*c + 17 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*l - 70 = -60*l. Solve -l*a + 3 + 12 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3143716*4\nAnswer: 12574864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x**3 - 2*x**2 - 2. Let n be j(2). Suppose 0 = -z - 5*y + n, 2*y + 4 = 5*z + 2. Suppose -z*u = -6*u + 12. Solve -2*g - u*g = -15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 32 = -k, 192046*w - 192049*w = -4*k + 13 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/4)\/(z**(11\/5)\/z))\/(z**(-4\/5))**(-1\/4) assuming z is positive.\nAnswer: z**(-33\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h - 5. Let p(v) = -3*v - 6. Let g(a) = -6*j(a) + 5*p(a). Let o(n) = -1691 - 215*n + 194*n + 1691. Determine g(o(u)).\nAnswer: -63*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 10. Let o = 10 - d. Solve o*t - 9 = 3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 56\/444571?\nAnswer: 56\/444571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-10) - 9\/(-2). Suppose -q*i = -2*i - 297. Suppose i = -6*h + 375. Is h a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 839.681 to 0 dps.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -1548 (c) 305\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-56)\/63*(-135)\/30. Solve m - 11 = g*u, u + 10 = -3*m + 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 22 = 2*j. What are the prime factors of j\/6*42 + 0?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (2941\/102 - 28).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d + 9. Let t(j) = 5 - 10 - 8*j - 21. Give -11*c(q) - 4*t(q).\nAnswer: -q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-8) - (-9)\/(144\/44). Suppose 0 = -4*h + 10 + 10. Suppose -p = -4*c - 48, -o*p - h - 20 = c. Does -13 = c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19\/5, -7, 3 in ascending order.\nAnswer: -7, 3, 19\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2 = -4*h, -3*z = h - 8*z + 5. Suppose 47*o - 46*o - 125 = h. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 + 4)*(-1271*y - 4052*y + 618*y).\nAnswer: 14115*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0.5, -2, -21884 in descending order.\nAnswer: 0.5, -2\/5, -2, -21884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 8215 = 14*x + 2335. What is the highest common divisor of x and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-4)*46*6\/3. Let y = p + 26. Solve y*q = 2*q + 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 387156 and 129052?\nAnswer: 387156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -6. What is the highest common factor of h and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-2)\/(-8)*2)\/(-5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 42 + (0 - -2) + (120 - 134)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**3\/23 + 120*y**2\/23 - 504*y\/23 + 512\/23 = 0.\nAnswer: -64, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**7\/105 + m**5\/24 - 7*m**3\/3 + 3. Let l(i) be the third derivative of t(i). What is the second derivative of l(x) wrt x?\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 618444 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.684 + -0.684. What is the second smallest value in z, 0.8, 2\/25?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-19960006)\/2 - (39 - 42). What is y rounded to the nearest 100000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13419 rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2916224795?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.21 + -4.79. Put -2\/7, d, 1.1 in increasing order.\nAnswer: d, -2\/7, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 46. Let a(u) = 398*u + 6146. Let k be a(-15). What is the greatest common divisor of k and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.6 in 1, -7, 3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 8 = -s, 0*s + 4*s - 14 = -2*k. Suppose -2*z - 3*h = s, z + 3*z + 3 = h. Let i = z + 3. Solve m + i = -m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 487490?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.06 and 11674.4879424.\nAnswer: 11669.4279424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 4*y + 184, -2717*i + 2713*i = 5*y - 371 + 68 for i.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 1\/2*l**4 + 0*l**2 - 2\/3*l**3 + 4*l - 1\/10*l**5 + 0. Factor y(r).\nAnswer: -2*r*(r - 2)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by 32098.\nAnswer: -3\/2918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - -0.7. Let s = 0.9 - n. Let b = -281\/2 + 142. What is the closest to 0 in b, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/v**(3\/10))\/v*v**(2\/15)\/v*((v\/((v*(v*v**(-1)\/v)\/v)\/v))\/v)\/(v*v**(-17)))**39 assuming v is positive.\nAnswer: v**(1391\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -375.7 + 0.3\nAnswer: -375.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1356 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2038 - 887. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*b + 12. Differentiate -6*l + 155 - b*l - 2*l + 45*l**3 + 15*l wrt l.\nAnswer: 135*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13\/3 or -70?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evqejijyjjej. Give prob of picking 1 y and 1 e.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25771 - -16648. Does 33 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10182 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*z - 183*z + 47 = 5*u + 17, -4*u + 5*z + 24 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*(n\/(n**(-1\/3)\/n))\/n)\/n)\/(n*n**(-1\/2)))**12\/(((n\/n**(-5))\/n)\/(n**(-2)\/n)*((n\/n**0)\/n)**(2\/13)) assuming n is positive.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -554523 < -554505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 2*i**2 - 23*i - 74. Let x be b(-3). Let w(h) = 22*h. Let d(n) = -351*n. Calculate x*d(c) + 63*w(c).\nAnswer: -18*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/2920 + -134341\/61320. Calculate the common denominator of w and (-533)\/(-105) - (6 + (-820)\/140).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**5 + 33*u**4 - 33*u**3 - 429*u**2 + 396*u + 756 = 0?\nAnswer: -3, -1, 2, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*((-9)\/(-6) + -1). Suppose -l*t + 2 + 6 = 0. Suppose 2*v + 2*v = 2*q - 162, -t*v + 384 = 4*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.016 - -0.316. Which is the closest to -2\/7? (a) -4 (b) x (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 30711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -10966*(-15)\/6 - (6 - 2). What is the second derivative of -27459*p - 1 + d*p - 44*p**2 - 51*p**2 wrt p?\nAnswer: -190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-180)\/54*12\/(-5). Suppose l*z = 5*z - m - 6, 4*m + 14 = -2*z. Is 2\/1969 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.754475 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*f - 4*l = 17, 0 = -5*f - 4*l - 37. Suppose 5*b = -377 - 403. What are the prime factors of (24 + 0)*(f + b\/(-16))?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1872) + sqrt(1872)*-3*-4 + (sqrt(1872) + 1*sqrt(1872))*-2)*-6)**2.\nAnswer: 136468800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*f*t**2*v - 21*f*t**2 + f*t*v - 3*t**2 - t*v - 18*v wrt f?\nAnswer: 14*t**2*v - 21*t**2 + t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3396094573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 166\/(-18) - 418\/(-1881).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 p when two letters picked without replacement from ptiiplpitpphtiylil?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {j: 3, m: 2, x: 10, e: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*p - 4*p - 8, -p = -5*j + 27 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3080980 to the nearest 100000.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2248 - 2)*(57 + -60)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 113\/5 - 23. What is the closest to -0.1 in 5, 6, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - n = -24, 4*r - 92 = -7*n + 2*n. What is the highest common divisor of r and 224?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -675 - 2*i**2 + 675 - 4*i + (-2*i - 4 + 4)*(-3*i + i + 3*i).\nAnswer: -4*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 399 + 1081. Is u a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 9:38 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*j - 12 + 12)*(-j**3 - 60*j**3 + j - 70*j**3).\nAnswer: -1441*j**4 + 11*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) 1 (c) 0 (d) -8 (e) -4 (f) 5489\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 199636057 to the power of 1\/3, to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*k = -o + 120, 5*o - 2*k - 609 = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4562 minus -60.37?\nAnswer: -4501.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**3*g**3*j**3 - d**3*g**2*j**2 + 549*d*g*j**3 - 2*g**3*j**2 + 41*g**2*j**2 - 2*j**3 + 10*j**2 wrt j.\nAnswer: -6*d**3*g**3 + 3294*d*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/2958120 and -103\/10846440?\nAnswer: 32539320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*i + 1309 + 3437 + 1822 + 2329 = 0 for i.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 u when three letters picked without replacement from {u: 2, b: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*z + 539 = -821 - 1160 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 - 56. What is the smallest value in u, -0.2, 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 696 divide 140053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 13*p**2 + 10*p + 6. Let j = 135 + -145. What are the prime factors of n(j)?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 4)\/((-1)\/(-18)). Let x = 166 - m. What are the prime factors of x?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/39 (b) -0.8 (c) 1030.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -793641, -3174557, -7142751, -12698223, -19840973?\nAnswer: -28571001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81 - -87. Suppose -n + 13 = 5*v + 10, -2*v - 2*n = -i. Sort -8, v, -1 in descending order.\nAnswer: v, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2951 = 481*g - 3129 - 3170 + 1554 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -394*b + 3. Let m(q) = 6*q**2. Give m(g(p)).\nAnswer: 931416*p**2 - 14184*p + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 12*f**2 - 13*f - 5. Let j be c(-13). Let l be 42*(30\/9)\/j. Calculate the smallest common multiple of ((-7)\/14)\/(1\/l) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(171)*1 - sqrt(171))\/(sqrt(27)\/sqrt(3)*-6)*3.\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 908?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/555616 and -17\/96.\nAnswer: 1666848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13456 + 6565.2. Round y to the nearest 1000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2. Let y(g) = 1 + 0 + 0. Let v(f) = 2*f**2 - 4. Let n(x) = -v(x) - 4*y(x). Determine k(n(u)).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 20 = -0*i. Let m = -3 - i. Suppose 0*y + 10 = m*y. Solve 0 = -y*s - 0*s + 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 14*g**2 + 14*g + 29. Let v be w(12). Let o = 285\/539 - -32\/49. Calculate the common denominator of o and v\/10 - 4\/(-20).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 301936, 301685, 301266, 300679, 299924, 299001, 297910?\nAnswer: 296651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-35)*(-42)\/(-36)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**3 + 585*q**2 - 21*q + 4103. What is k(195)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 306751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/11 and -41\/1362.\nAnswer: 14982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 826, 2340, 4870, 8422, 13002, 18616?\n\"Answer: m**3 + 502*m**2 + m + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (448\/7)\/((-41)\/82)*(-10)\/40?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 28727133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -270? (a) -174 (b) 1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*y - 14. Let v(f) = -2*f - y - 3*f + 4*f. Let s = 69 - 73. Give v(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12b4 + a?\nAnswer: -12a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 4\/7*u**2 + 13\/42*u**4 + 1\/105*u**6 - u + 4\/7*u**3 + 3\/35*u**5 + 0. Factor s(o).\nAnswer: 2*(o + 1)**2*(o + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u**4 + 1089008*u**3 - 8*u**2 + 866*u + 3 wrt u?\nAnswer: 48*u + 6534048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1620207 * -0.5.\nAnswer: -810103.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130649 is divided by 442?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11153671 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = 10*r - 64. Suppose 0*s = r*s + s. Which is smaller: s or 1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (4 + 0) - (147 - 138)) + 91?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -987.\nAnswer: -3948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) 10 (c) -0.1 (d) 4 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**3 + 834 - 412 - 319 - x as b + c*x + j*x**2 + l*x**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*w - 3*w + 3*z, 5 = -5*z. Let a(d) = d**3 + 88*d**2 - 5*d - 463. Let g be a(-88). Sort w, g, 0, -3 in descending order.\nAnswer: w, 0, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -51 - -1a29876?\nAnswer: 1a29825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30.139 + 3.861. Which is the smallest value? (a) l (b) -5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-5))\/(142\/1775).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 41, -200, -763, -1756?\nAnswer: -3287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence br when two letters picked without replacement from gprgsrrbr?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 14*o**2 + 16*o + 9. Let q be m(-6). Suppose -7865 = -3*f - 2*r, -f + 5*r + 1983 + q = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 62286*35*(3 + (-2)\/1). Suppose -5*y - 1089975 = -h, -3*h + 2*y = -5*h + r. Round h to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7605528 by 52.\nAnswer: 1901382\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32110277 (base 8) to base 4.\nAnswer: -122021002333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.4 - 7.6. Let h = 10.00000055 + b. Round h to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence opnp when four letters picked without replacement from {p: 7, o: 4, n: 3}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03 + 0.27. Let d = 1500 + -1505. Put 5, d, f in decreasing order.\nAnswer: 5, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78433513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 908 or 909?\nAnswer: 908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 + 0*n**3 + n**3)*(-13 + 7 + 21)*(0 - 1 + 0 + 0 + 5 - 3 + (-4 + 2 + 0)*(1 + 3 + 3)) + (-2 + n**2 + 2)*(5*n - 3*n - n).\nAnswer: -389*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 306504965 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9347730?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -111827\/20 + 5593. Calculate the common denominator of k and -101\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/5)\/((-4)\/10). Let m be v*(-6)\/4 + -1. Suppose 2*i + 6 = m*c, c = -4*c - 2*i + 8. Solve a = c - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 1110010100111001?\nAnswer: -1110010100111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 663 - 663. Solve 6 = 3*j - h for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -108*c**4 + 3*c**3 - 3*c**2 + 589. Let x(a) = -a**4 - a**3 + a**2. Let v(q) = p(q) + 3*x(q). Differentiate v(i) with respect to i.\nAnswer: -444*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -b**4\/3 + 2*b**3 - 4*b**2 + 11*b + 33. Let s(x) be the first derivative of i(x). Suppose s(m) = 0. What is m?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2944 is divided by 366.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00030697 rounded to 5 dps?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6248633, -12497268, -18745903, -24994538?\n\"Answer: -6248635*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*f + 149 = -336 - 971 - 2960 for f.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 308622019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -175 - -1229\/7. Suppose -59 = -5*r + 6. Suppose 0 = 3*q - 4*c - r, -4*q + 5*c + 5 = -12. What is the nearest to 0.1 in n, 5, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 245923581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2044263 is divided by 1236?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**3 - 65*y**2 + 24*y + 959. What is u(-21)?\nAnswer: -427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2969146*r - 2867998.\nAnswer: -2969146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from gvguovguuuouvguuvuu?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 3:22 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -11, 30, -473, -3 in decreasing order.\nAnswer: 30, 2, -3, -11, -473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 7*d + 210 = 0. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 2. Let h(z) = -z + 3. Let f(k) = -k**3 - 4*k**2 - 2*k. Let c be f(-3). Let g(t) = c*h(t) + 2*u(t). Let s be (-9 - 0)\/((-450)\/200). Give g(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 6934 = -5*y + y, -4*y - 4 = 0. What is the highest common divisor of 2574 and a?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71397 - 76*i + 71397)*(i**3 - 3*i**3 + 4*i**3).\nAnswer: -152*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10, n: 3, s: 4, v: 3}. Give prob of picking 3 v.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 26*n**3\/3 - 1894. Let f(g) = -g**2 - 1. Let a(m) = -56*m**2 - 42. Let r(w) = -a(w) + 42*f(w). What is r(t(z))?\nAnswer: 9464*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 5*a - 37, -5*u - a = -4 - 16 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5 - 395394*q**4 + 12653936*q**3 - 142361680*q**2 + 632728800*q - 790916000 = 0. Calculate q.\nAnswer: -197729, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 340 + -146. Suppose -6*x + q = 80. Solve 5*y = -3*w + y + x, -2*w + 2*y - 6 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (6\/(-3) - -1)\/(4\/(-188)) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 32\/(-24)*(-6)\/2. Suppose -2*d = 5*i + 11, -3*i + d - 19 = -h*d. Let y(l) = l**3 + 2*l**2 - l. Give y(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -6*g + 4*g - 49, 4*g = -0*g + 20*q + 32 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/1*(-2)\/44)\/(35*(-33)\/1155).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 2*g = -0*g + 22, 5*c + 4*g + 32 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/336 and 133\/2880.\nAnswer: 20160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -484400+18\nAnswer: -484382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (23 + 2)\/(5\/25) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 51021, 101879, 152575, 203109, 253481, 303691, 353739?\n\"Answer: -81*w**2 + 51101*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 11*p - 816. Let n(b) = 4*b**2 + 203*b - 41. Let j be n(p). What is the greatest common factor of 730 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*r + 12 = 2*p, 2*p + 4*r = 0. Suppose -1 = -3*i - f, -p*f + 9 + 3 = 4*i. Let c = 114 + -110. Put i, 2, c in decreasing order.\nAnswer: c, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09 - -0.0852. What is o rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -84.04307 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -3\/5, -1.614, -1\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -358 * 90274.\nAnswer: -32318092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z - 2184 = 94*z for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 0 + 0*w**2 + 2\/15*w**6 + 9*w - 3\/2*w**5 + 5\/21*w**7 - 4\/3*w**3 - 8\/3*w**4. Solve k(j) = 0.\nAnswer: -1, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 40 = 8*b. Let t(x) be the third derivative of -3*x**2 + 0 + 0*x**4 + 0*x**3 + 1\/30*x**b + 0*x. Let w(y) = -2*y. Determine w(t(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4 = -5*o, 8 = -4*n - 3*o - 7. Let z be (2 + n\/(-1))*1. Solve -4*i + 4 = 0, -z*f - 21 = 2*i + 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -2\/5 (c) 16 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 0*l - 4*l + 12, -2*l = -5*b. What is the third derivative of -2*u**5 + b*u**6 + 26*u**2 + 2*u**5 - 1321*u**3 + 1319*u**3 wrt u?\nAnswer: 240*u**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 337 divided by 116985\nAnswer: 337\/116985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2434139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -464\/291 - -90\/97. Which is the nearest to 0.3? (a) -1\/2 (b) 0.4 (c) 57 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 691744.5363895 - -10.\nAnswer: 691754.5363895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 4*t - 2, -277 = 5*v + 4*t - 314 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-52)\/8 - -4)\/((-1)\/(-4)). Let z be (-4)\/g + 48\/(-170). What is the third smallest value in z, 0.5, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -283*s**2 + 204*s?\nAnswer: -566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -41806, 5, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11 and -65204.\nAnswer: -65215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122126133 is divided by 3591945?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83 + -80. List the prime factors of 67 + 3 - (0 - z).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(4\/7))**39)**(-3\/20))**27 assuming p is positive.\nAnswer: p**(-3159\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2031874.05 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v - 1. Let m be h(-1). Let l = -6.801 - -1.801. What is the closest to m in l, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/8 - 23*n**3\/8 - 43*n**2\/8 - 21*n\/8.\nAnswer: -n*(n + 1)**2*(n + 21)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -2.1. Let z = -0.7 - -0.5. Let q = c + z. What is the second biggest value in -1\/9, q, 1\/8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 26 = 82. Suppose 0 = q + d - 45. Suppose -4*h + 158 = -q. What is the highest common factor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, t: 2, i: 1, h: 2, r: 1}. Give prob of sequence jh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**2 - 5*h + 2. Let j be p(4). Find the common denominator of 35\/16 and (-2 - -1) + 237\/j.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 + 48*q - 2*q**2 - 4*q + 19*q + 4*q**2.\nAnswer: 2*q**2 + 63*q + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 3*y - 5. Let c be u(-2). Suppose 2*h - 2*i - 16 = 0, 3*h + 0*i + c*i - 40 = 0. Calculate the least common multiple of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 883*o - 7. Give u(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 9:18 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -16 + 1. Suppose 7 = -n - 3*k, 4*n = 3*k + 17 + b. Suppose -x = -n*t - 3*x - 185, -3*t + x = 122. Round t to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3023 or -3339?\nAnswer: -3023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1390 - -1389. Sort 78, 0, y in decreasing order.\nAnswer: 78, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t\/(t*(t\/t**(-2\/9))\/t)))**(-2\/131))**49\/(t\/(t**(-1\/9)\/t)*t*t*t**7*t*t**5*t**(-3\/5)) assuming t is positive.\nAnswer: t**(-32771\/1965)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 28*n - 322. Solve 5*s = r + n, -3*r + s + 3*s - 9 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (216\/(-63))\/((-8)\/(-56)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 - 59. Which is the third biggest value? (a) -2 (b) d (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 77 + -75. Suppose 0 = -2*l - 4 + 32. What is the smallest common multiple of l and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*23.6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 495*p**3 - 2652*p**2 + 2652*p**2 + (0 + 0 - 2*p**2)*(-4*p + p + p).\nAnswer: 499*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-304)\/(-24))\/19)\/(2\/(-6)). Let m = 0 - -1. Let t(b) = m - 2*b + 3*b + b. What is t(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 21. Let c be x(0). Let d = 83 - 39. Suppose 2331 = -7*l + d*l. What is the greatest common divisor of l and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18873379?\nAnswer: 7, 385171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 22655441 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2778 a factor of 3206467608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 2:57 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -6*f + 34. Let z be i(5). Solve -5*b = 3*g - 9, 5*b + z*g = 11 + 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 10 = 0, -3*r + r + 2 = -4*j. Suppose -1070 = t - 4*w, 5*t - r*w + 6548 = 1198. What is t rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -1823?\nAnswer: -2\/1823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 a, and 1 q when three letters picked without replacement from ssaisqiasaiasaqaq.\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 - 54180\/(-798) - (-58)\/(-171)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**5\/5 - 184*s**4 - 22055166*s**3\/5 + 67844612288*s**2\/5 - 56140123100203*s\/5 = 0.\nAnswer: -5563, 0, 2161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -1337.\nAnswer: -1\/1337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 651.0445nm in millimeters?\nAnswer: 0.0006510445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (58 - 1) + (1 - -2). Let u(l) = -l**2 - 3*l + 4. Let w be u(-3). Suppose 8 = k + w*i, k - 10 - 7 = 5*i. What is the greatest common factor of r and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 41 + 13 = -2*t, -z + 7 = t. Let r(h) = -6*h + 68. Let p be r(10). Suppose -p*x = -t*x + 3. Solve -a + x*a - 6 = -4*y, -a + 3*y = -8 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.01039 from -5.483.\nAnswer: -7.49339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 8) in base 11?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v - 27 = 15. Suppose 7 = -v*c + 17. Solve c*b - 7 = 5*q - 52, 0 = -2*b + 5*q - 30 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -382, -486, -778, -1354, -2310, -3742?\n\"Answer: -16*l**3 + 2*l**2 + 2*l - 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 70, 74, 58, 16, -58, -170?\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 184856 and 11193691?\nAnswer: 3301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l - 2. Let o(g) = 3*g - 1. Let u(p) = 2*a(p) - 3*o(p). Let z be u(-3). Suppose -17 - 4383 = z*t. What is t rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*l - 42*l - 3360. List the prime factors of l.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10358 and 3428498?\nAnswer: 3428498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 8*y**2 - 1047*y + 10502. Determine l(11).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5566299\/91 - -428487\/7. Suppose -2\/13*y**3 - 192\/13*y - 44\/13*y**2 + t = 0. What is y?\nAnswer: -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 10:07 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 - -71. Let q = j + -26. Calculate the least common multiple of q and 17.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 11*q - 2. Let w be t(9). Let y be (68\/(-16))\/((-4)\/w). Solve -u - 2 - y = 4*s, -4*u = 3*s + 24 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**4 - 572*o**3 - 21922*o**2 - 174708*o - 385200 = 0. Calculate o.\nAnswer: -25, -6, -4, 321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-20)\/(-16) - 1.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 20*d + 576. Let p = -642 + 642. Is 64 a factor of i(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 0*k**2 + 0*k**2)*(-234*k + 101*k - 138*k + (3 - 3 + 2)*(3*k + 0*k - k)).\nAnswer: -267*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*k + 30, 5*q = -25 - 0. Let d(w) = w**3 - 2*w**2 + 5*w + 8. Let n be d(k). Calculate the greatest common factor of n and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*z + 2*z - 7*z)*(6*z**2 + 8 - 8 - 7) as v*z**3 + k*z + d + c*z**2 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 times -2?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-14)\/(-4))\/(5\/20). Are 14 and a unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10986919 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 0*r**3 + 0 + 1\/5*r**6 - r + 0*r**2 - 1\/2*r**4 + 0*r**5. What is the third derivative of c(k) wrt k?\nAnswer: 144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-22)*k**(-2)*(k**32\/k*k*k*k)\/k**(-1\/14) assuming k is positive.\nAnswer: k**(771\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94401.07 decades to months.\nAnswer: 11328128.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25752*i**4 + 2*i + 98523 wrt i?\nAnswer: 103008*i**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/16 (b) -23 (c) 3 (d) -0.2 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**2 - 35*k**2 - 2*k**2 - 15*k**2.\nAnswer: -46*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2880919585 - 2880919412.0000087. Let d = 178 - 351. Let g = d + q. Round g to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 - 997*a + 25075. Give b(24).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 34. Suppose -2*h - 2*m = -s, 23 = -0*h + h + 5*m. Calculate the remainder when 3 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -110, -73, -36, 1, 38, 75?\n\"Answer: 37*x - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 118 = -4*y, -4*y - 542 = -4*n - n. Find the common denominator of 14*(n\/64 - 2) and 3\/(-40)*(-30)\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 318224175?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110000 - 1012202120221?\nAnswer: -1012210000221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(833) + -1 + 0 + -1).\nAnswer: -4 + 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.07 (b) 62 (c) -0.3 (d) 5 (e) -0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16338 rounded to the nearest 100?\nAnswer: 16300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143 + -188 + (5 + -11 - -19).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l - 2*l - 3*l)*(1 - 4 + 1)*(26*l - 3*l - l).\nAnswer: -44*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -28.87. Let l = 154 + -153.96. Let x = l - k. What is x rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 55172 and 44.4?\nAnswer: 2449636.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -59*h**2 - 372*h - 29. Give r(-6).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, p: 6, e: 4}. Give prob of picking 2 l, 1 e, and 1 p.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131, 680, 1625, 2972, 4727, 6896, 9485, 12500?\nAnswer: 15947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 36\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - -4 - -8*(-3 - 6). Let v be 5 - (-5)\/2*56\/g. Suppose 17 = v*h - 7. Solve -15 = 5*a + j, -3*j = 3*a + j - h for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 8:54 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1083 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g + 4*g - 6*g)*(-2*g**4 + 5*g**4 - 4*g**4)*(-3 - 1 + 2).\nAnswer: -16*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9727 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 6*n - 2. Let s be i(-5). Suppose s = -0*b - b, -5*y + 2*b + 61 = 0. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -229242794 by 9967078.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*u - 12*u + 20*u)*(-u - 2*u + u) to m + d*u + q*u**2 and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 257 = -2*s - 25, -2*b = -3*s + 344. Calculate the greatest common divisor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.135, 5, -0.7, 15\/8 in descending order.\nAnswer: 5, 15\/8, -0.7, -4.135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34 - 46) + 7 + 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 658 + -343. Let s be (7 - 2215\/h)\/(6\/14). Which is smaller: -0.3 or s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2022*c - 62715. What is h(31)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 110.9944 times -0.5\nAnswer: -55.4972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.35 - 960?\nAnswer: -959.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 4*n**2 + 2*n - 1. Let g be m(-3). Let s be -5*1*(-12)\/20. Let v(u) = -3 - g*u - 3 + s. Give v(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 296 and 3774.\nAnswer: 15096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - ((14 - (24 - -18)) + -11 + 0).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/11)*u*u**2)\/(u\/u**(-1\/4)*u*u**17) assuming u is positive.\nAnswer: u**(-663\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -36*s - 217. Let b be f(-14). What is the first derivative of 4776 - 9437 - b*a**3 + 4761 wrt a?\nAnswer: -861*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25940161, -25940163, -25940165, -25940167?\nAnswer: -25940169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -74*b - 162. What is x(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*o**3 + 91*o**3 + 122*o**3.\nAnswer: 160*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h*h*((h*h**7)\/h*h)\/h))\/h)\/(h\/(h\/(h\/h**(-1\/4)))))\/(h*h**(3\/13)*h*h**2\/h))**(2\/45) assuming h is positive.\nAnswer: h**(-701\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-3))\/((-11)\/((-132)\/8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*r - r**2 + 10*r - 3*r**2 - 7 + 6*r**2 in the form u*r + d*r**2 + b and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/90 and -91\/580.\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23492, 2, 65 in ascending order.\nAnswer: -23492, 2, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 15 = r, -603 - 514 = 4*w - 6*r - 1235 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1833420882 to the power of 1\/2, to the nearest integer?\nAnswer: 42818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 not equal to 139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*s + 2*v - 14, 4*s - 12 = -4*v. Find the second derivative of 8*w + 18*w**s + 4055*w**2 - 4055*w**2 wrt w.\nAnswer: 216*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 - 25905*p**2\/2 - 113492*p + 58365\/2.\nAnswer: (p - 6485)*(p + 9)*(4*p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -7*w**2 + 4*w**2 + 10*w**2. Let b(u) = -4*u**2. Calculate m(b(n)).\nAnswer: 112*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31*d - 106*d - 2*d + 145 - 5*d**2 - d.\nAnswer: -5*(d - 1)*(d + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 24, 13, 0, -24 in increasing order.\nAnswer: -24, 0, 5, 13, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3*s = 11, -815*i + 810*i = 2*s + 21 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*sqrt(75))**2*2.\nAnswer: 120*sqrt(3) + 618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -294 - -425. Calculate the remainder when z is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (21\/28)\/(6\/40). Suppose -4*r - 5*g = -41, -5*r = -4*r + s*g - 29. Solve 6\/5*l**3 - 21\/5*l - 3\/5*l**r + 2*l**2 + 9\/5 - 1\/5*l**5 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 7:16 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 738 - 733. Let j(s) = -3*s + 3 + 5*s + 14*s**2 - 2. Let t be j(-1). Solve t = i*u + 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 66\/2*(-588)\/9261 + 2. What is the third biggest value in -90, -4, c, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + 2023012321?\nAnswer: 2023012332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-330)\/(-12))\/11 + 3 + -5. Suppose -3*u - 17 = s - 5, 2*s = -5*u - 20. Factor m**4 + 0*m**2 + s + d*m**3 + 0*m.\nAnswer: m**3*(2*m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79804168 to the nearest integer?\nAnswer: 8933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.8 + -4. Let y = -3.2 - n. What is the smallest value in 0, y, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*-2*-6 + sqrt(720))**2 + (-1 + -2 + sqrt(5) + 2)**2.\nAnswer: -2*sqrt(5) + 121686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 7*k - 7 = -5*l, 5*l - k = 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.37 - 81475212.\nAnswer: -81475210.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*a**2 + 23*a**2 - 132*a**2.\nAnswer: -169*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 23 = -2. Suppose -50 = -3*u - s*u. Solve 4 = -u*i - 21 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 v, and 1 c when four letters picked without replacement from eeeeyeccexyreeeyvv?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20118616*t**4 + 249*t - 33983?\nAnswer: 241423392*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5*s**(1\/5)*s*s\/s**(-3)*(s\/(s**(-3)*s*s))\/s)**(2\/5) assuming s is positive.\nAnswer: s**(112\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10140 - -10136. Put -2, -694, 5, u in decreasing order.\nAnswer: 5, -2, u, -694","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -352908 divided by -18\nAnswer: 19606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/34 (b) -4 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + f + 122 = 0, -3*j = 2*f + f - 102. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/3 - (-4)\/(-12). Suppose p - i = 4. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 25*c - 571. Determine y(37).\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/15)\/(2\/(-20)). What is the highest common factor of 4 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4759 - -4721.93. Let o = -37 - m. Let i = -0.79 - o. Round i to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -10*v**2 + 6*v. Let m(j) = -29*j**2 + 17*j. Let d be 10 - (0 - -5 - 1). Give d*m(s) - 17*g(s).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) -1006 (c) -1 (d) 2\/11 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021202221 (base 3) in base 6?\nAnswer: -313211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqqj when four letters picked without replacement from {q: 8, n: 4, j: 5}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 1, -4, 26814 in increasing order.\nAnswer: -5, -4, 1, 5, 26814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 110*0.4\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 146bb (base 12) in base 16?\nAnswer: 6fef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 143 and 65?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -646\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 105167597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1183 - 1183. Let r(l) = -9*l + 4. Give r(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-15))\/((-40)\/45)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 163, 199, 235, 271, 307, 343?\nAnswer: 379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**5\/2 - 81*i**4\/2 - 1778*i**3 + 157960*i**2 - 436800*i - 1519000 = 0. Calculate i.\nAnswer: -62, -2, 5, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3\/40, 413, 5 in descending order.\nAnswer: 413, 5, 0.3, -3\/40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 495974 - 495974.503098. Let k = g + 0.033119. Let o = -0.47 - k. Round o to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98fc85 (base 16) to base 15.\nAnswer: d30a7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -5. Let c be s\/(-5)*(3 + 2). Find the third derivative of 3*k**6 + 0*k**6 - 4*k**2 + c*k**2 wrt k.\nAnswer: 360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -0*b - 4. Suppose -5 + 1 = -x. Let i(y) = -5 + 0*y - 2*y + x. Determine i(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172266356?\nAnswer: 2, 127, 339107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1547034968.\nAnswer: 2, 193379371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 339, 726, 1175, 1680, 2235, 2834, 3471?\n\"Answer: -g**3 + 37*g**2 + 283*g + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -151 or -154?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/3)\/((-5)\/45). Let w(a) = a**3 - a**2 - a + 6. What are the prime factors of w(v)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (2 - -5) + 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, u: 1, x: 2, g: 1, q: 2}. Give prob of picking 1 x and 1 q.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 50*p**2 + 3*p + 3. Let h be w(-1). Let 5*x**2 - 30 + 96 + h*x + 59 = 0. Calculate x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(85) + (1*(sqrt(85) + sqrt(85) + (-2*sqrt(85) + sqrt(85) - sqrt(85))) - sqrt(85)))\/(sqrt(20)\/(sqrt(484) + 2*sqrt(484) + sqrt(484))).\nAnswer: 132*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 7*t. Let p(n) be the third derivative of -n**5\/60 - n**4\/4 - 7*n**3\/3 + 38*n**2. Let q be p(-4). Determine a(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3835459 rounded to 3 decimal places?\nAnswer: -2.384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -z**3\/3 + 6*z**2 - z. What is the units digit of l(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.9 - -14.9. Let z = 3.9 - 4.9. Which is the closest to z? (a) 0.3 (b) -2\/11 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide (3 - -596)*(19 - (-3 - -11))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-10)\/15*-3. Let r be 3\/(-12) - 186\/(-8). Let g = r - 13. Let w(t) = -t**2 + t - 1. Let z(a) = -4*a**2 + 5*a - 6. Give d*z(y) + g*w(y).\nAnswer: -2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 3 (b) -2\/5 (c) 9574 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - -0.4. Let j = v + -0.1. What is the second smallest value in -0.3, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -182 + 187. Is d less than or equal to 5\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30265 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -3. Suppose -2*q - s*q + 105 = 0. Suppose 5*c = q + 19. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 455*g - 444*g = 61721. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*m + 2*m**3 - 41*m + 4 + 3*m**2 - 2*m**2 in the form y*m + a*m**3 + g + z*m**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 12*h + 5. Let s be k(12). Suppose 1 = -r + s. Suppose -230 = r*a - 6*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 smaller than 236371\/5368?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 23628\/(-1969)*5\/((-135)\/(-6))*-3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 77116*v + 154331. Give n(-2).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4 = 13. Let s = o - 2. Let n(l) = s + 2 - 3 + 2*l. Let g(w) = w**2. Calculate n(g(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -72*f + 240. Calculate the remainder when 73 is divided by k(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 930, -10 in descending order.\nAnswer: 930, 4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j + 6. Give k(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(0*y + 0*y - 3*y)*(302 - 822 - 606).\nAnswer: -3378*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94856334?\nAnswer: 2, 3, 137, 167, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-16)*(2 + (-18)\/15). What is the third smallest value in -5, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107770 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 18 + 8. Suppose n + 5*t = -2*n + 27, k*n - 14 = -2*t. Solve -26 = s - 3*s - n*x, 0 = 4*x - 20 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-4\/7)*p*p**36\/p assuming p is positive.\nAnswer: p**(248\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(68)\/sqrt(4) - sqrt(17)) + sqrt(17) + 0.\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 != 389\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/9 + 2\/9. Suppose t*v + 86 = 2*m - 4*v, 0 = 5*m + 4*v - 271. Is m a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 r when three letters picked without replacement from pohhooprohop.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -599 = 5*v + 4*z, 3 = -z + 2. Let d = v + 129. Solve 2*k = -0*k + d for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5154055?\nAnswer: 5, 1030811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -2148 (b) -4 (c) 19\/5 (d) 0.9 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/12860 and -27\/10288?\nAnswer: 51440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309*m = 312*m - 156. What is the derivative of -2*q**2 + 30*q + 56*q - 127 - 112 - 116 + m wrt q?\nAnswer: -4*q + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*h**2 + 16*h**2 - 31*h**2 - 12*h**2 - h)*(97*h + 108*h - 54*h)*(1 + 1 + 0) to n*h + m*h**2 + q*h**3 + t and give m.\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5776 is divided by 2876?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 15, j: 3}.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jnu when three letters picked without replacement from junjunjuuujnunujjujn.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94650*k**2 + 94650*k**2 - 2*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 - 38. Let y(l) = 51*l**2 - 2*l + 2. Let n be y(k). Let g = -50 + n. Which is the smallest value? (a) -3\/5 (b) g (c) 0.3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 11*m**2 - 6*m + 42. Let c(i) = 12*i**2 - 4*i + 41. Let s(v) = -2*b(v) + 3*c(v). Differentiate s(q) with respect to q.\nAnswer: 28*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**4\/12 - 17*o**3\/6 + 21*o**2\/2 + 18*o + 41. Give k(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 6952\/5, 1\/2 in decreasing order.\nAnswer: 6952\/5, 1\/2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 606 and 4.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 7, -1, 0 in increasing order.\nAnswer: -2, -1, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by (2 - 1)*(16 + 24\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 10*y - 20. Let n be d(5). Let l be (n - 9)*10\/(-8). Solve 5*k + 4*o = 5, -3*o - l - 10 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 67*p**2 - 687*p + 76. Calculate w(76).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2)*w*w*w\/(w\/w**(-6))*w**(-5)\/(w*w\/(w\/(w**1*w))*w*w) assuming w is positive.\nAnswer: w**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29136 at most as big as 30503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 59, 57, 55, 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170 and 3270290?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*g + 21*g - 183*g - 125*g to h*g + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 161a58 (base 14) in base 6?\nAnswer: 24323102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/15 - 2\/(-6). Suppose -6*j + j - 10 = -z, -5*z - 4*j - 37 = 0. Sort -3, z, m in ascending order.\nAnswer: z, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/19, -2\/9, 1, 18, -115, 1\/2 in decreasing order.\nAnswer: 18, 1, 1\/2, -2\/9, -6\/19, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of x**3\/3 + 2*x**2 + 9*x + 1. What is the units digit of t(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - 0) + (0 - 1). Suppose -12 = -5*p - 2. Let o be p\/6 - (-4)\/6. Calculate the greatest common factor of o and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((357\/14)\/17)\/(12\/(-10)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-63)\/(-28) - 1\/4. Let z(t) = 50*t**3 - 3*t**2 + 2*t - 2. Let y be z(d). What is y rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 88092?\nAnswer: 88092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**32\/q*q**6\/q*q assuming q is positive.\nAnswer: q**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5363*a - 3932. List the prime factors of g(7).\nAnswer: 3, 17, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42411737*f**2 + 26832758*f.\nAnswer: -84823474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 15) in base 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 16\/(-28))\/(6\/(-21)). Let h be 2465\/(-7221) + m\/6. Which is smaller: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(7)*1 - (sqrt(175) + 5 - sqrt(7)))**2.\nAnswer: 60*sqrt(7) + 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 4*u + 2*u**2)*(-7*u + u + 3*u)*(-9*u + 8*u + 32*u).\nAnswer: -186*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2087, -2065, -2043?\n\"Answer: 22*l - 2109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-45) + (-1016)\/(-30) + -4. List the prime factors of 609\/2 + 15\/o.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -28*n**2 + 1. Let v be k(1). Suppose -2*q + 67 = -s, -8*s - 131 = -4*q - 3*s. Let y = v + q. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 i when two letters picked without replacement from khihimmxmim.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 702\/4*(-66)\/(-99) is divided by 53?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22120121022 (base 3) to base 7\nAnswer: 1302146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 l when two letters picked without replacement from {l: 1, b: 4, z: 4, h: 7, u: 1, f: 2}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -22396 take away -272060?\nAnswer: 249664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 57 + 97*b**3 - 3*b**2 - 59 - 168*b**3 + 90*b**3 as t*b**2 + g + j*b**3 + a*b and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -40338486 rounded to the nearest one million?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1638, 1638, 1652, 1692, 1770?\nAnswer: 1898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8352116?\nAnswer: 2, 29, 89, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/297 and -62\/429.\nAnswer: 3861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1567728*w**5 + 1184257*w**2 wrt w.\nAnswer: -94063680*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*h + 2474*h**2 + 25*h - 2 + 25*h.\nAnswer: 2474*h**2 - 10*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a - 6*a - 6*a)*(65*a**2 - 5 - 49*a**2 + 0).\nAnswer: -288*a**3 + 90*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1618449?\nAnswer: 3, 7, 77069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -185 minus 6?\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5401 + 5401. Let u(p) be the third derivative of 0*p + 7*p**2 - 1\/40*p**6 + 1\/336*p**8 - 1\/60*p**5 + r*p**3 + 1\/210*p**7 + 1\/12*p**4 + 0. Factor u(h).\nAnswer: h*(h - 1)**2*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -1, -3 in increasing order.\nAnswer: -26, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 12.034424?\nAnswer: -12.134424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 15 = -140. Let k = u + 29. Suppose -5*o - 27 = -4*m + 4, -5*m = k*o - 8. Put m, 1, 2 in increasing order.\nAnswer: 1, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1606*k = -5525*k - 178275 for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67.89 + 67.99. What is the third smallest value in -1\/4, -3, k, -6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1953802, -1953821, -1953840, -1953859, -1953878, -1953897?\nAnswer: -1953916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*d = 411 + 201. Let i be 3264\/918 - 4\/d. Let -11\/3*c**4 - 7\/3*c + 5\/3*c**5 + i*c**2 + 1\/3 + 2\/3*c**3 = 0. Calculate c.\nAnswer: -1, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 73 and 7039463?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, 0.3, 1\/82, 183?\nAnswer: 183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*i = 280*i - 6, 2*i - 29 = o for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*sqrt(567) - (sqrt(3388)*-2 + sqrt(3388)))**2.\nAnswer: 16807","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-5) - 4\/10. Suppose 0 = 2*u - 3*u + p. Suppose 2*y - 5 = 3*y, -u*y = f + 3. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/7 + 981*u**2\/7 + 972*u\/7 - 1956\/7.\nAnswer: 3*(u - 1)*(u + 2)*(u + 326)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.6 - -3. Let l = -0.4 - 0. Let g = -133\/9 + 15. Which is the third smallest value? (a) z (b) g (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9084 - 9080. Which is the third smallest value? (a) m (b) -0.86 (c) 3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -128, -194, -256?\nAnswer: -314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 576428?\nAnswer: 2, 53, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -14*a - 8*a. Solve -a = 2*g + 17*t - 18*t, 0 = -t + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + sqrt(605))*-5*-6)**2.\nAnswer: 2178000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -761 - -9013\/12. What is the common denominator of (-2)\/((-144)\/(-676)) + 2 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x - 2. Let p(n) = 1. Let z(b) = -c(b) - 3*p(b). Let j be z(-9). Calculate the greatest common factor of 65 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 3\/4, 1\/3, 0.02, 15?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -12. Suppose f*v - 5*l = -4 - 0, 0 = 5*v - 5*l. Factor -11*n**2 + 3*n**v + 7*n**2 - n - n**3 + 1 + 2*n**3.\nAnswer: (n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -296\/665 - 12\/95. What is the common denominator of -37\/66 and t?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 2*o + 4*j + 44 - 8 = 0, 3*j - 4*j = -o + 7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2044301 (base 6) in base 2?\nAnswer: 11000010010001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/8 + 3\/40. Let z be 29\/(-22) - (-9)\/6. Let q = 0.3 + -0.3. Which is the biggest value? (a) q (b) z (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4 = -8, -5*i + 27 = 4*c. Differentiate -8*r - 8 - c*r + 5*r - 2*r wrt r.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence neee when four letters picked without replacement from {n: 6, l: 1, e: 7}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.5, 1\/4, 1\/10, 0, 974, 9\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 528745371.\nAnswer: 3, 7, 11, 29, 78929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a**3 + 3*a - 26. Let h(n) = -757*n - 759. Let z be h(-1). Let t(f) = -3*f**3 + 2*f - 25. What is z*r(x) + 3*t(x)?\nAnswer: -x**3 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -102 - -102.01. Let k = 0.09 + i. Which is the nearest to 0? (a) k (b) -0.29 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 7. Suppose -2*q = 1 - j. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2. Let x(w) be the second derivative of w**3\/6 + 3*w. Calculate x(a(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 - 26. What is the remainder when 25 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -135 (base 8) to base 15.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -196528510 divided by 5?\nAnswer: -39305702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (43 - (2 + -6 + 1)) + -826 + 837?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20983*x + 2063*x + 1092473 = -1736*x - 144775 for x.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*k - 10, 3*k + 0*k = i + 15. Let w(b) = -b**2 + 3*b + 3. Let d be w(3). Let q(o) = 4*o - k*o - 6 + 6*o**2 - o**2 - o**d. What is q(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yry when three letters picked without replacement from rryyfryyyffyrfffffff?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 4529148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*-0.084914138.\nAnswer: -0.00254742414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1492000 rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 23. Let c = 2.99999969 + p. What is c rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 5 + (0 - 2) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25444840 is divided by 5686.\nAnswer: 5676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1782)*4 - sqrt(22))\/((3*sqrt(1100) - sqrt(1100)) + sqrt(1100) - sqrt(11)).\nAnswer: 35*sqrt(2)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 18 = 2*i. Let u = i + 21. Suppose u*z = 7*z - 24. Solve 4*a = 2*d + 6, 2*a + 10 = z*a + 2*d for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**3 - u**2 - u + 14. Let s(h) = -11*h**3 + h**2 + 3*h - 70. Let c(p) = s(p) + 5*t(p). Let o(w) = w**2 - 3*w - 3. Let l be o(3). Determine c(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p - 3*p + 2*p + 9. Let f be v(-6). Let h be (1\/3)\/(1\/f). Which is the nearest to h? (a) -0.1 (b) 0.1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16 - (-32)\/4) + 8. Suppose 5*f = 4*q + 8809, 3527 = 2*f - 5*q - m*q. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 64 = 69. Let n be z*(-1)\/(-4) + 9\/(-4). Let b(f) = -5*f**3 + 2*f**2 - 2. Let y(s) = 66*s**3 - 27*s**2 + 27. Calculate n*y(c) - 27*b(c).\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + -1*((1 + sqrt(288))*2 + sqrt(288))*5)**2.\nAnswer: -64864 - 2880*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3757 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + p + 12. Let t be i(4). Solve 2*r = -2*w, -5*w + t*w - 3*r = 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppxd when four letters picked without replacement from vvpfpddxpv.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9902538.86 - 2.8\nAnswer: -9902541.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/2*49\/49?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 252137\nAnswer: -75641.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2212.9 + -2213. What is the closest to 0 in -4, f, -5.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29706856 or -29706859?\nAnswer: -29706856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3429*i**5 - 3470*i.\nAnswer: -68580*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 + -13113?\nAnswer: -13023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1911 or -1910?\nAnswer: -1910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5272 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: Simplify 2*(-3 + (6*(sqrt(108) + -3*(sqrt(108) + -1) + sqrt(108) + 4*(sqrt(108) + 0) + 3))**2).\nAnswer: 15552*sqrt(3) + 72570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0*y - 30 = 0. Suppose 0 = -2*j - 0*j + 8. What is the least common multiple of (-9)\/(-18) + 42\/j and y?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 9:20 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.201 - 0.201. Which is the nearest to l? (a) 1\/2 (b) 0.34 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-437)\/46 + (-2 - -3 - -4))\/(-75). Which is the fourth smallest value? (a) -3 (b) -1\/3 (c) -1\/6 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**2 + 4*i**2 + 4*i**2)*(5*i**2 + 0 + 0) + (4 - i**2 - 4)*(3*i - 2*i**2 + i - 2*i).\nAnswer: 17*i**4 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(33\/7)*h\/((h**(5\/4)*h)\/h))\/(h**(-16)\/(h*h**(-3\/17))) assuming h is positive.\nAnswer: h**(10133\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 3\/2 (b) -3\/4 (c) 5 (d) -89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-5))\/(217\/155).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12 - 13 - (-1502)\/(-8). Let w = -190 - v. Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31924 - -31750.29. Let o = j + 171. What is o rounded to one decimal place?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1493189715 plus 0.459?\nAnswer: 1493189715.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13966244 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*m = 60*m - 383 - 43. Factor -768\/5 + 3\/5*a**m + 864\/5*a - 99\/5*a**2.\nAnswer: 3*(a - 16)**2*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6325135*b**2*p - 2978645*p wrt b.\nAnswer: -12650270*b*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4*(1*sqrt(704) + -5) + -2))**2.\nAnswer: -1152*sqrt(11) + 11588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**5 - 17631*l**4 + 35298*l**3 + 141096*l**2 = 0?\nAnswer: -5879, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qm when two letters picked without replacement from {q: 7, m: 6}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 - 10605*a**2 + 31854*a + 42456.\nAnswer: -3*(a - 4)*(a + 1)*(a + 3538)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61599*f**5*o**2 - 4*f*o**2 - 7516*o**2 wrt f.\nAnswer: -1231980*f**3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 46. Let y be 1 - 21\/n - 21\/(-18). Let q be (-5000 - (-1 + y))\/(22\/(-124520)). Round q to the nearest one million.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z - 3*z**4 - 1309*z**3 + 4*z**4 - 2*z**2 + 1318*z**3 to the form m + k*z**3 + t*z + x*z**2 + o*z**4 and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, 27, -0.2, 25, 153, 20 in descending order.\nAnswer: 153, 27, 25, 20, 2\/17, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 1:25 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and 148087.\nAnswer: -118469.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-5)\/(20\/24). Let y = -24993\/208 - -1610\/13. Calculate the common denominator of y and (-89)\/(i\/(-6)*15).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 29\/5 of a tonne?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/111545 or -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -134709 (base 11) to base 14\nAnswer: -56d46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-2))\/((-3)\/60). Let s be c\/4 - (-9)\/(-6). Solve t = -t + s for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129329*s**3 - 64652*s**3 - 64714*s**3.\nAnswer: -37*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -7*w + 71. Give g(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3 - 73 = 16. What is the remainder when 3263 is divided by z?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -6*q**3 + 2972*q**2 + 4964*q + 2984. What is i(497)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140219 - 65*g - 140219.\nAnswer: -65*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 754*l = -749*l + 16, 3*c + 148*l = -586 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82007 + -55119. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 - 28*b**2 - 448*b - 768.\nAnswer: 2*(b - 24)*(b + 2)*(b + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 + -217254079873.\nAnswer: -217254079873.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 30197, 61419, 92655, 123911, 155193, 186507, 217859, 249255?\n\"Answer: c**3 + c**2 + 31212*c - 1017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -2*h - 3*h + 53, 0 = i + 4*h - 48 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43914.\nAnswer: 2, 3, 13, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 - -2 - ((0 - 1) + (-17 - -41) + -18)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*x - 3\/5*x**2 - 135 = 0. What is x?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 32*b - 8. What is p(7)?\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q - 2*q + 2*q + 5120*q**2 + 5 - 5095*q**2 to the form n + u*q + x*q**2 and give x.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 143 + -1283\/9. What is the fourth biggest value in -2, 0.3, w, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 11. Let l be -6 + 1452\/378 - 4\/(-2). Which is smaller: l or q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -605*f**3 + 6*f**2 - 6*f - 179. Let x(u) = 606*u**3 - 7*u**2 + 7*u + 179. Let r(c) = 7*n(c) + 6*x(c). What is the first derivative of r(m) wrt m?\nAnswer: -1797*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4733\/915 + 5\/183. Calculate the common denominator of -38\/17 and t.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1291 - 324?\nAnswer: -1615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 + 1. Let m = 532 - 533. Which is the nearest to l? (a) m (b) -5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1128888180?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 + 12372\/30 - (-4)\/(-10). Let b = 672 - g. List the prime factors of b.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -1171*r**3 + 8*r**2 + 11*r. What is the remainder when j(-2) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016 take away -32254.5921949?\nAnswer: 32254.5761949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*s + 17*s + 27 + 116)*(2*s**3 - 3*s**3 + 0*s**3) to a + h*s + d*s**2 + z*s**3 + m*s**4 and give z.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/3)\/(1\/(-13)). Suppose -2*c = -r + 1, -2*r = 4*c + r - n. Let u = c + 3. Let i(v) = -v**3 + 5*v**2 - 3*v - 2. Determine i(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13136643.\nAnswer: 3, 13, 112279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -78 + 79 + (-2 - (4 + (0 - 1)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 2*v + 15. What is the tens digit of k(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -14. Let j = 48 + c. Let b = 45.000074 - j. What is b rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-86)\/92)*159\/((-13674)\/172)?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 920 divide 81048320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -761 <= -759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in -57\/8, 2\/5, -2, -0.4?\nAnswer: -57\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 14.526382 + 0.18832169\nAnswer: 14.71470369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6869152203 rounded to five dps?\nAnswer: -0.68692","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z - 6. Let k be p(3). Let r(f) = 7 + 2 + k*f**2 + 14*f - 5. Let g(c) = 5*c**2 + 29*c + 8. Let o(b) = -2*g(b) + 5*r(b). Solve o(m) = 0 for m.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 9*i**2 - 3*i - 18. Let v be t(-9). Solve 5*z - 16 = -4*p + 24, -5*p + v = -4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2156824637142.1 + 2156804706705.000087. Let i = w + 19930451. Let l = -13.9 + i. What is l rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -d - 3*d + 3*i, 4*i = 0. Let x = -13 + d. Suppose 2*s - 39 = -3*u + 5*s, u - 5*s = 13. Solve 0*z + x = -3*z - f, -f = 4*z + u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 576716, 2306702, 5190012, 9226646, 14416604?\nAnswer: 20759886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 6*a**2 - 7*a - 2. Let y be c(-7). Let m be ((-6)\/3)\/y + 8. Find q such that -5 + q**2 + 0*q**3 + 2 - 10*q**2 + 3*q**3 + m*q = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-39470.\nAnswer: -11841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-1 - (1 - (8 - 6))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) 0.09 (c) 6\/7 (d) 0.002 (e) 0.3 (f) 5914 (g) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 124329 (base 11) in base 4?\nAnswer: 233313103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 113, 187, 257, 323, 385, 443, 497?\n\"Answer: -2*s**2 + 80*s + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90051 is divided by 164.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1)\/i*i*i**(1\/15) assuming i is positive.\nAnswer: i**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20441145 (base 6) in base 9?\nAnswer: 1108142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147921?\nAnswer: 3, 49307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 - 38*x - 21. Let p be u(13). Does 4 divide p\/(-10) - (-1802)\/85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1058?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/1*4\/170?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12002\/(-41301) + 4 + (-324)\/78.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -8\/27 (b) 187 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -37. Let j = i - 2. List the prime factors of 0 + (-440)\/(j + -1).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -538 + 788. Let a be 25\/(-2)*(-100)\/i. Solve -k = -2*u - 0*u - 5, a*u = 4*k - 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*t = 1707, -x + 4*x - 4*t - 1022 = 0. Suppose -3*g - 3*o = -210, x = g + 4*g + o. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 1:18 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2460991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*u - 1144 - 386 = 0. Let r = 29 + 5. What is the greatest common divisor of u and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnllljnnlnl. Give prob of sequence nl.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 53541221 (base 7) to base 10\nAnswer: 4564757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + o - 1, -5*h - 19 = 3*o - o for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*w - d, -3*w - 3*d + 3 = -4*d. Let h = w - 0. Suppose x + 2*x = h. Are x and 0 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2\/15, 1, 2, -3, -0.11764?\nAnswer: -0.11764","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 83*d**3 - 6 + 69*d**3 + 193 + 547*d**3 - 10 wrt d.\nAnswer: 2097*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 8*m - 5. Suppose 5*a - 29 = -2*d, -5 = a + d + 3*d. Let g be 3 + m - (8 - a). Solve 0 = -g*r + r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 15*u - 263. Give h(17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 43.6 and 83?\nAnswer: 3618.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (64*x - 2*x + 11*x)*(2 + 1 - 2)*(0 - x + 0 + (0*x + 3*x - 4*x)*(4 - 2 + 0)) in the form y + a*x + o*x**2 and give o.\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 14) to base 12\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**6\/120 + 4*g**5\/15 - 29*g**4\/24 + 7*g**3\/3 - 7*g**2 - 28*g + 3. Factor a(p).\nAnswer: -(p - 14)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*d**3 - 181107*d**2 - 164670*d.\nAnswer: 3*d*(d - 5489)*(11*d + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 11 - 71 = 0. Let b be (-84)\/(-27)*-3*12. Let s = b - -172. Is u smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 23, -2, -25 in increasing order.\nAnswer: -25, -2, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/6 - (-13)\/3. Suppose 4 = 2*o - 8. Let l(i) = 5*i**2 + 6 - i**2 - o*i - 3*i**2. What is l(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1582 + 1661*g**3 - 6113107*g + 6113107*g wrt g.\nAnswer: 4983*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mnm when three letters picked without replacement from {m: 4, n: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 8. Let u be n(10). Let s(v) = -22*v - 6. Calculate the remainder when s(u) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/10))**(-6\/11) assuming a is positive.\nAnswer: a**(-3\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31532 in -0.4, -0.004, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -w - 5*v + 20, 3*w - 8 = -2*v. Suppose w = 4*g - 10 - 38. Does 11 divide (46 - g\/4) + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r. Let q(j) = -8*j**2 - 2*j. Let h(v) = 6*a(v) + q(v). Let k(l) = l**3 - l. Let u(n) = h(n) - 6*k(n). Factor u(i).\nAnswer: -2*i*(i + 1)*(3*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/324 and 101\/6.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 2000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 9*k**2 - k. Let g(n) = -2*n**2 + 40*n - 1. Let a be g(20). What are the prime factors of f(a)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - 2)\/(((-4)\/(-10))\/((6 + 3)\/9)). Let i be 1\/(-2 + 1)*-1. Let x be (i - 1)\/(1\/(-1)). Solve x = h*b - 0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 6. Let c = 11 + b. Suppose -2 = u - c. Calculate the remainder when u is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1487663.\nAnswer: 23, 71, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b + 473 = 495 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1797121*t**3 + t**2 - 464*t - 51.\nAnswer: 10782726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fj when two letters picked without replacement from {f: 11, j: 3, i: 1}.\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 + 8 + -6 + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a + 20. Let n be b(-8). Sort n, -2, 3 in increasing order.\nAnswer: n, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -876 + 869. Put -47, s, -5 in descending order.\nAnswer: -5, s, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 2*o**2. Let t(r) = 2*r**3 + 3*r**2. Calculate 8*f(l) + 5*t(l).\nAnswer: 2*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.22 - -1.03. Round p to 1 decimal place.\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (-948)\/15*(-6 + 1). Let m = 597 - z. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-22 + 2 + 8)*4\/(-48)*4. Factor 8\/7*n**3 + 0*n**2 + 0 + 0*n - 4\/7*n**i.\nAnswer: -4*n**3*(n - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 12?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -n**3\/3 + 15*n**2 - 43*n + 9726. What is f(28)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 11:57 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-108)\/24)\/(-9)*2)\/(-5)*5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*g**2 - 1568\/11 - 112\/11*g.\nAnswer: -2*(g + 28)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 3*r, 0*r - 5*z = 3*r. Let u be ((-4)\/6)\/(1\/(-6)). Suppose r = 3*f - q + 5*q - 251, 283 = u*f - 5*q. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 570 is divided by 144?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3127 - -3130. Solve 0*c - d*c + 4*m = -10, c + m + 6 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 854*q*r**2 + 284*q*r - 1222431*r**2 wrt q.\nAnswer: 854*r**2 + 284*r","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Let k = 1 - -1. Suppose -2*h + 2 = k*a, -3*h + 4*h + 4*a - 4 = 0. Suppose h = 2*z + z - 66. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1257*g + 571*g + 727*g - 728*g - 2 + 3 to the form x*g + p and give x.\nAnswer: 1827","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -10*r - 4 + 2 - 47*r + 223*r. Suppose -t + 4*o + 3 = -2, o = 5*t + 13. Let q be j(t). What is q rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2953547 + 4?\nAnswer: 2953551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of m**5\/30 + 30*m**2 - 85. Let q(j) be the second derivative of b(j). Let n(k) = 7*k**2 - 3. Give q(n(g)).\nAnswer: 98*g**4 - 84*g**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2328 - -3875. What is the highest common factor of 182 and a?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4 + 6*s**3 - 3*s**2 - 6*s.\nAnswer: 3*s*(s - 1)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -520.9 - -521. What is the closest to b in -1, 5, 3\/7, 16?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53 - 3 - 10)*(-2*x**5 + x**5 - x**5).\nAnswer: 132*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhhvhhhv. What is prob of picking 2 v?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -222\/37141 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.031027896 rounded to 3 decimal places?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 1 = -3*q. Let n be 7\/(-21)*(8 + q). Let j be n*(3 + -8 + 1). Solve 0*z = 4*z - j for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -121 - 19. Let n = -91 - b. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**6 + 2789774*l**3 - 15330*l**2 - 97?\nAnswer: 120*l**3 + 16738644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1629399?\nAnswer: 3, 17, 43, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20\/(-3 - 7))\/(-1). Which is the biggest value? (a) 3\/8 (b) -96\/11 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48*6\/(-288)*12\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 15) to base 12.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -31*g**3 + 17*g**2. Let t(k) = -61*k**3 + 35*k**2. Let x(y) = -7*p(y) + 4*t(y). Find the third derivative of x(c) wrt c.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 2*h - 8, h + h - 8 = 5*f. Sort f, 2, 1 in decreasing order.\nAnswer: 2, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 437, 1, -50.\nAnswer: -50, -4, 1, 437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*1 - ((-16 - -3) + 6). Suppose g*n - 4*v = -94 + 278, 2*n = -3*v + 92. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -2*a**6\/15 + 3*a**5\/5 + a**4\/3 - 2*a**3 + 100*a. Solve d(s) = 0 for s.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*q - 35, -3*p = -149*q + 150*q - 10. Which is the closest to q? (a) -0.4 (b) -2 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*g**3 - 103*g**3 - 97*g**3 - 15*g**2 + 15*g**2.\nAnswer: -108*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - (-1 - 3)) + -4. Is 9 a factor of (-25)\/((3\/18)\/((-6)\/m))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -614*z + 59240. Calculate h(96).\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -261.9 take away 0.0154625?\nAnswer: -261.9154625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76408?\nAnswer: 2, 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12, -26, -40, -54?\n\"Answer: -14*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s. Suppose 9 = -0*d + 3*d. Determine l(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l - 16*l + l**3 + 13*l - 3*l**2. Let x = 25 - 21. Calculate i(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(4\/(-14)) - (-130 - -124)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -15 - 3. Suppose -2*h + 23 = -11. Calculate the remainder when h is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 1:11 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i - 9679. Let d(q) = q - 3225. Calculate 8*d(b) - 3*s(b).\nAnswer: 2*b + 3237","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27953, -241, -1 in descending order.\nAnswer: 27953, -1, -241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-56182.71\nAnswer: -56182.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -567*o. Let c(d) = -841 - 4*d + 284 + 282 + 275. Give p(c(q)).\nAnswer: 2268*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/4 of a hour?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (14\/42)\/(5\/3). Put 4, p, -0.1 in decreasing order.\nAnswer: 4, p, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -8b?\nAnswer: 8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.54439548 to 3 decimal places.\nAnswer: -41.544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 390.2284 grams in milligrams?\nAnswer: 390228.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3843751, -3843756, -3843761, -3843766?\n\"Answer: -5*z - 3843746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjjsjs?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 97699297 or 97699295?\nAnswer: 97699295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + sqrt(50).\nAnswer: -6 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 6\/(7\/35 - 2\/(-5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 1498*g + 9001. Calculate y(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 390*i - 371*i = -49 - 46, 3*a - 5 = 4*i - 3*i for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {b: 2, k: 5, s: 7, z: 5}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - w + 1. Suppose 4*v = 3*s + 15, -47*v = -2*s - 46*v. Suppose 7*b - 3*b - 4 = 0. Let y(n) = -3*n**3 + 2*n**2 + 5*n - 3. Give b*y(m) + s*z(m).\nAnswer: -3*m**3 - m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22200954 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -27540 divided by -540\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3083 (b) -2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -225.6*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -74842.26 to the nearest one thousand.\nAnswer: -75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3*4\/6)\/1. What is the third biggest value in i, -5, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 1:57 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1691 and 212176?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x = 5*y, -12 = 3*x. Suppose w + 5 = -f, -3*f + 25 - 30 = w. Solve f = -c - y for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 551565 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7*(-2 - -3) + -71 + 70\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 79*j**2 + 1100*j + 707. Determine u(-91).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 24 = -2*o - a, 11 = -2*o + 3*a. Suppose 2*b + 2*x = 98, o*b + b - 107 = 5*x. Suppose -d - d = -b. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away -0.2304?\nAnswer: -0.1696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t = 4, 5*p - 8 = 2*t. Let j(z) = -5*z**p - z + 10*z**2 - 2*z - 4*z**2. What is j(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, m: 7, h: 2, y: 2, c: 1, n: 6}. What is prob of picking 1 r and 1 h?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 341327*j**3 - j + 484520?\nAnswer: 2047962*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*y - 404, -3*b - b - 1564 = y. Let m be (-4)\/14 + (-7)\/(b\/996). Which is bigger: 19 or m?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-120)*15)\/((-6)\/10)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.5081267 kilometers?\nAnswer: 50812.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*o**3 + 1\/2*o**4 - 3\/4*o**2 + 1\/4*o + 1\/4.\nAnswer: (o - 1)**2*(o + 1)*(2*o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -4*r + 6*n - 10, -r + 6*n + 100 = r + 104 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.858816 rounded to 1 decimal place?\nAnswer: 17.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(5) + sqrt(605))*5)*-5.\nAnswer: -300*sqrt(5) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3215 - -26371809\nAnswer: 26371809.3215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 - ((36 - 50) + 26).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -217, 0, -8, -9, 5 in decreasing order.\nAnswer: 5, 0, -8, -9, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9 + -12)*(-1 + -1 - -1). What is the derivative of -60 + 16*n**w + 48 - 2*n**3 wrt n?\nAnswer: 42*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/3 (b) -1\/5 (c) 5 (d) -2\/9 (e) -4 (f) -147.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6858*v - 4. Let d be z(-1). Suppose 7407 = 4*f - 3*y, 5*f - d - 2366 = -4*y. List the prime factors of f\/(-18)*(-12)\/8.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71\/2306 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 12*h - 7. Let v be f(6). Suppose -v = 5*r - 20. Does 7 divide (-6)\/r + (-100)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 + 367*v**2 - 185*v**2 - 186*v**2 = 0 for v.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 10 = 0, t = 2*s + 10 + 3. Let x = -100 - -68. Let k = 35 + x. Solve t = -k*c + 6*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1195 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.02 plus 4094062?\nAnswer: 4094069.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 + -3.92223690615\nAnswer: -4.01223690615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*g + 40, 0 = -5*j + j + 16. Let s be 15\/3 + -8 + 5. Suppose z = -s*z + 6. Solve z*h + 3 - g = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b - 2. Let d = 173 - 165. Calculate v(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 - 13 = 20*f. Suppose -1 + f = d. Solve 2*p + 3*r = -23, d*r = -p - 16 - 13 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -770*g - 15322 = 443*g - 243*g + 22508 for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -163.6 take away 0.0043?\nAnswer: -163.6043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**5\/8 + 11*t**4\/4 + 259*t**3\/8 + 155*t**2\/2 = 0.\nAnswer: -5, -4, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10 * 88444\nAnswer: -884440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -6 - (1 - 1) - -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6*(-2)\/(-1))\/(-5))\/((-8192)\/102400)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/17 + -15\/34. Suppose -4*r - 5*d + 16 = 3, 2*r - 9 = -5*d. Let o be 1\/r*((-44)\/(-6) - 6). Sort i, 0, o.\nAnswer: i, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from frrfrrrrrrrfrr. Give prob of picking 2 f and 2 r.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-947 - -974)\/(2*1\/2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine halves of a litre in millilitres?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -42, -80, -132?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108)\/sqrt(2))\/sqrt(3))\/(sqrt(81)\/(sqrt(54)\/sqrt(6)) + sqrt(9) - sqrt(9)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 44199897.\nAnswer: 44199897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -1141*m**2 - 57048*m + 100 = 0.\nAnswer: -50, 2\/1141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m - 2. Let i(u) = 6*u + 3. Let r(f) = 5*i(f) + 7*l(f). Let s be r(-2). Let n be 2\/s - 1020\/(-18). What is the highest common divisor of n and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7681 - 7686. Let x = 5.1 + -5. Which is the closest to x? (a) 2\/11 (b) -3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1686, 3836, 5986, 8136?\n\"Answer: 2150*r - 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 911132 and 37529?\nAnswer: 873603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -119845\/16974 + 14\/2829. Calculate the common denominator of p and -47\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -75 - -155. Let j = v - 80.102. Let q = -0.562 - j. What is q rounded to two dps?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, m: 1, x: 2, y: 1}. Give prob of picking 2 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 269098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 133*n - 10215. Give b(86).\nAnswer: 1223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + c - 3. Calculate the remainder when 17 is divided by s(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1926 (b) 1.1 (c) -0.04 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1368 and 8721?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39159 + 40514. Calculate the remainder when 2714 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112906043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5603*r. Let g(o) = -29*o**2 + 3*o. What is g(c(b))?\nAnswer: -910414661*b**2 - 16809*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.06 (b) -9 (c) 0 (d) -409 (e) 4\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/3)\/(-32)*-24\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y - 3 = -14*y. Suppose 3*c = 2*c + y. Put -2, 2, -5, c in decreasing order.\nAnswer: c, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2904 by -4.\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 31987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 880 and 3713655?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9150 divided by 3050\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuvvuueumeevuueuucv. Give prob of picking 1 m and 2 u.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-2))\/(39593256\/(-1184)). Are h and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19856 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10505557 to the power of 1\/2, to the nearest integer?\nAnswer: 3241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 9*y**2 + 107*y + 36. Calculate z(-11).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6795 is divided by 485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 233*t**2 - 22*t + 46. Let z(r) = 234*r**2 - 23*r + 47. Let m(n) = 3*j(n) - 2*z(n). Does 16 divide m(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = p - 4*i, p + p + 2*i - 20 = 0. What is the highest common factor of p and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-6*(-4 + (sqrt(252) - (sqrt(252) - sqrt(252)*-2))*2 + 0)*-2)**2 + -5.\nAnswer: 27648*sqrt(7) + 582908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ze when two letters picked without replacement from ggezzrbp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 17474, 35003, 52532, 70061?\n\"Answer: 17529*s - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 2*z = -6, -23 = -2*c + 3*z - 21 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 967 + -971. What is the biggest value in q, 0.3, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 489489059\/3892 - 125768. Let k = p - 200453\/19460. Find the common denominator of k and -113\/666.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s - 1. Let k(v) = -6*v - 3. Suppose 10 - 4 = -3*m, 4*j - 4*m = -12. Determine j*i(w) + k(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/6, 0.4, -2\/5, 0.11, 149.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 10:09 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 101 + (-89 - 3) + 55?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3519350 and 1200?\nAnswer: 84464400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 + 1. Suppose -3 = f - 5*f - 3*m, 6 = -2*m. Suppose -j = f*j - 40. Suppose -4*i = 2 - j. Determine c(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.4 (b) 0.11 (c) -2\/11 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + (sqrt(68) + sqrt(68)*-2*5 - sqrt(68)))\/(sqrt(64)*-4)*-4)**2.\nAnswer: 1377\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*h - 161*h = -5*p - 13, 5 = 5*h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.869412ml to litres.\nAnswer: 0.002869412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.653945269 to three dps.\nAnswer: 2.654","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 888117146 is divided by 988?\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 15*s + 21. Let v be y(16). Suppose -v*z + 6 = -11*z. What is the nearest to z in 0.5, -1, -2\/23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343988.\nAnswer: 2, 23, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b = 8*b - 3*u - 21, -1 = -5*b + u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 0 - 11) + -4 + 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -4?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2602630, 2602682, 2602730, 2602774, 2602814, 2602850, 2602882?\n\"Answer: -2*a**2 + 58*a + 2602574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.025 + 1. Let r = -103.03 + 103.33. Which is the smallest value? (a) 5 (b) r (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -2. Let q be (h\/2*-1)\/(-1). Suppose 2*t - 7 = -q. Solve 0*i = 5*i - t*z + 34, -2*i = -4*z + 22 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-41535)\/(-36) - 2)\/((-15)\/(-12)). Let h = g - 921. What is the second biggest value in -0.08, h, 2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*m**3 + 28*m**3 - 16*m**3 + 9*m**3.\nAnswer: 45*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 7. Let h be o(7). Let c = 2 - h. Solve -2*k - 16 = -c*a + 2*k, 2*k + 4 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3504875?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/10, -1, 0.1, -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*sqrt(153) - (sqrt(153) - (sqrt(153) + 2 + 0)) - (sqrt(68)\/(sqrt(12)\/sqrt(12)) + 2*sqrt(1700)*-2))**2.\nAnswer: 296*sqrt(17) + 93096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003788308245 rounded to six decimal places?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a2 - 3?\nAnswer: 9f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 24 = -3*z, 0 = -4*z + 14039*l - 14034*l - 32 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 135?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 3 - 3)*(-p + 3*p - 3*p + (-4*p + 5*p + p)*(0 - 1 + 3) + 2*p + p - 2*p) + 3*p**2 - 13*p**2 - 6*p**2.\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2093686651 to the power of 1\/2, to the nearest integer?\nAnswer: 45757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 256968.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72 + 298. Let k = h + -238. What is the remainder when k is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 8*o**2 + 6*o + 1. Let j be x(-7). Suppose 3 = -7*s + j*s. Is -7*(2 + -4) - s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 7*r**2 - 4*r + 9. Let v be j(-6). List the prime factors of ((-8)\/3)\/(-4) - 34\/v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100706822?\nAnswer: 2, 37, 1360903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*i - 1 + 20, -17 = -5*v + 3*i. Suppose -3 = 2*k - 3*k. Sort k, 0, v.\nAnswer: 0, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-5\/8))\/j)\/(j*j*j\/(j*j**(-6)\/j*j)*j))\/(j**(5\/3)*j**(-6\/19)) assuming j is positive.\nAnswer: j**(-5005\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f**4 - 37*f**3 + 288. Let m(k) = -k**3 + 2. Let g(j) = -6*m(j) - u(j). Differentiate g(q) with respect to q.\nAnswer: 12*q**3 + 129*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7840411 months in decades?\nAnswer: 0.0232003425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 30 = -3*y. Let w be 40\/y*6\/4. Find the second derivative of 0*f**w + 0*f + 0*f + f**4 + f wrt f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 8*t - 25*t = -77, 16 = 54*w - 49*w + 2*t - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 5*b**2 - b - 3. Let y(s) = s + 1. Let f be y(-6). Let n be d(f). Let u be 336\/60*5\/2. Solve 4 - u = -n*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*d + 45*d + 8*d.\nAnswer: 148*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3012 bigger than 2874?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 58328 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - c + 4*c)*(13 - 112 - 107 - 273).\nAnswer: -479*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 5:16 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 13*w**2 - 15*w - 7. Give u(12).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 3. Let m = 4.997 + 0.003. What is the nearest to d in 0.5, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -5*t - 5*t**3 + 4*t**3 + 2*t - 10*t + 10. What is the first derivative of x(s) wrt s?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*b + 2*f = 112*b + 304, 0 = 3*f - 15. Let k = 2 + 8. Calculate the remainder when b is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00222794 to 5 decimal places.\nAnswer: -0.00223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/9 and ((-3)\/(-66))\/(19\/(-1634)).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c8ac (base 13) in base 2?\nAnswer: 110110011010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -137*(6021\/(-8028))\/(6\/(-16))*(-2)\/4?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q - 12. Let k be d(9). Let r be -36*(30\/(-4))\/k. Let m = r + 143. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 3 (c) -94 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 12*p + 14. Let h be x(13). Suppose 7*y + 3*u = 3*y + 47, 2*y + 5*u = h. What is the highest common divisor of 1 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 4\/9 (b) 1 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**1*n))\/n*n)**(-8)\/(n*n**(2\/7))**12*(n**(-1))**(-14\/5)\/((n*n\/((n\/n**(-1\/2))\/n))\/n**6) assuming n is positive.\nAnswer: n**(-9\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 35139 divided by -3\nAnswer: -11713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**4\/2 + 37735*d**3\/2 - 2024601*d**2 - 2043468*d = 0 for d.\nAnswer: -37842, -1, 0, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*u - 4*u + 6*u - u in the form b + f*u and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.2 - -2. Let q = 8 + -3. Let u = -1 + q. Which is the second smallest value? (a) s (b) u (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62747 - 62747 - 85*o + 126*o**3 - 198*o wrt o.\nAnswer: 756*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 945\/65) + (-72)\/(-156)*-1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.00301739 + 0.003. What is h rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**8\/k**8)\/(k\/((k*k**(-12))\/k)*k*k**1) assuming k is positive.\nAnswer: k**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.02 or 0.1?\nAnswer: -2.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -7139995*n + 25. Let y be p(-5). Round y to the nearest one million.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-155532)\/41874)\/(((-7)\/28)\/(14\/(-8)))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 132 + -94. Calculate the greatest common divisor of i and 228.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -1 - (2 - -1)) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4394*z**4\/9 + 3534466*z**3\/9 + 68543774*z**2\/3 + 3868078438*z\/9 + 24075736120\/9.\nAnswer: -2*(z - 860)*(13*z + 241)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 208 = 1192*p - 1274*p, v + 5*p = -13 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30051\/2968 - (-2)\/(-16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**3 + 46*b + 43*b + 0*b**2 - 3*b**3 - 126*b - 43*b**2 + 37*b.\nAnswer: b**3 - 43*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 - 39. Calculate the remainder when 38 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-1 + -4 + -1 - -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.44191 to 2 dps.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*h**3 + 10*h**2 - 10*h**2 - 20*h**3 + 24*h - 24*h + (-1 - 3 + 3)*(h**3 + 2*h**2 - 2*h**2).\nAnswer: -14*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 1322.\nAnswer: -1\/1322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 580\/14*4529\/3235?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, x: 3, e: 2, j: 4}. What is prob of picking 1 x and 1 j?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -254 - -301. Let r be (-3)\/(-12)*-5*4. Let i = r + 17. Calculate the remainder when m is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((249 - 141)\/(-1296))\/(-1*(-14)\/(-24)). Let n(v) = v**3 - v. Let s be n(1). Put 10, a, s in ascending order.\nAnswer: s, a, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32797, 261484, 881985, 2090206, 4082053?\nAnswer: 7053432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 793*h - 292*h - 277*h - 269*h.\nAnswer: -45*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*r + 2 = 0, 3*r - 1 = -v + 2*v. Let i(z) = 2*z**2 + 10*z + 2. Let l be i(v). Is (-586 + 0)\/(-5*l\/(-15)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (20 - 25)\/(3*(-10)\/48). Solve q*h - 213 + 269 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*b**3 + 90*b**3 - 793*b + 793*b + 97*b**3.\nAnswer: 121*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33 - (1 + 15)) + (-5 - ((-6 - -9) + 5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -120402224 (base 5) to base 6\nAnswer: -15555053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33212, -66425, -99638, -132851?\nAnswer: -166064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.88 - 115.12. Let q = -116.9095 - c. Let y = 0.073 - q. What is y rounded to 3 decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*c**3*m - 373*c**3 + 12*c*m - 184531*m wrt c?\nAnswer: -21*c**2*m - 1119*c**2 + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 881.223 * -0.03.\nAnswer: -26.43669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - 22\/(-6))*3. Let g(o) = 0*o + 4*o - 7*o + 3 + z*o. Give g(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.34 < 590?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 6:21 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10501*f + 2035 = -10094*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 0)\/1*35. Let k be 2\/10 + 7\/(r\/4). Let v be (-20)\/(-8) + (10\/4 - k). What is the nearest to 1\/3 in v, 0.6, -1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 10 = 0, 0 = f - 3*i + 2*i - 7. Solve 8 = -5*h + 3*h - 2*q, 16 = -4*h + f*q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 0*(4 - (0 + 3)). Suppose o*s = 3*s + f + 134, -3*f - 230 = 5*s. Is (2\/2 - 188)\/(s\/43) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 - 5*l + 3. Let n = 0 - -3. Let p be t(n). Let m = 2815 + -2812. Solve g - p = m*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (5 - 0 - 3). Let c = o - -1. Suppose -w - 75 = -c*w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m - 172*u = 5*m + 9*m - 199, 4*m + 10*u - 40 = 6*u for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43790 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 271921 or 271919?\nAnswer: 271919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153122?\nAnswer: 2, 76561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -12*x + 11*x. Let w = x + 2. What is the third biggest value in 4, -3\/2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + n**2 + 3*n + 1. Let m be o(-2). Let g = 310 - 321.5. Let s = 7.5 + g. Sort 1, m, s, -2\/9.\nAnswer: s, -2\/9, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q**5 + 4*q**3\/3 + 15. Find the third derivative of c(r) wrt r.\nAnswer: -120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + h, 3*i + h + 0*h = 4. Let b(t) = 3*t**3 - 6*t**2 + 3*t + 6. Let g be b(i). Solve g*f + 15 = 7*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05062603 rounded to 3 dps?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5756852 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*h + 16 - 6 - 10 - 37*h + 2*h**2 to the form d*h**2 + g*h + q and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 98117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22199730 is divided by 22199712.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 5*t - 15. Suppose 7*o**3 + 6*o**3 - 2*o + 6*o**2 + t*o + 12*o**4 + 4*o**5 = 0. Calculate o.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011121979 rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 19*w - 25. Let m be g(-19). Let i = m - -45. Calculate the highest common divisor of 220 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26023 and 3127.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 7*x**2 - 8*x - 8. Let l be g(-6). Suppose 39 = 3*r - 3*i, 0*r + l*r + 3*i - 45 = 0. Suppose -2*d - r = -3*d. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 57.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -257*k**4 - 69.\nAnswer: -1028*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 438 = -4*l. Let p = l + 77. Do 4 and p have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-5) - 24\/(-10). Let m(o) = 2*o + 0 - 10 + b. Let t be m(6). Sort 0, 1, t in increasing order.\nAnswer: 0, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -9*j**2 - j - 2. What is s(2)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*b + 0*b - 382 = 0, 0 = -5*y + b + 460. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -202?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 3*l = g + 45, -3*g - 175 = -l. Let j be (-28)\/g + 2\/6. Let x = 46\/5 + -337\/35. Which is the nearest to -1? (a) x (b) 1\/9 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -13*r**2. Suppose -5*y - 2*k + 26 + 12 = 0, -2*k - 10 = -3*y. Suppose 0 = 5*l - 16 + y. Let h(j) = 12*j**l + 10*j**2 - 21*j**2. Give s(h(o)).\nAnswer: -13*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27790649*q**2 - 39064325 wrt q?\nAnswer: 55581298*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 31?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 4.1118?\nAnswer: 9.1118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -h - 889 - 540, -5*h + 10 = 0. What is the greatest common factor of s and 5406?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529 a factor of 4975816064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 81 = 3*l - l, 3*l + a = 122. Let c be 5\/20 - 153\/(-12). Suppose 6*h - 79 = -c. Calculate the remainder when l is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 311, 13, -8 in decreasing order.\nAnswer: 311, 13, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 412 + -892. Let l = -409339\/72990 - 12\/4055. Calculate the common denominator of l and (-650)\/(-4)*24\/j.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nnncpnncccn?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.570518 + -0.57. What is t rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -945.\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a decade in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124, -121, -108, -79, -28, 51?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 295575 and 329343.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1491 - -2630. Calculate the highest common factor of b and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 154396?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -4, 2, 6, -36, 3 in decreasing order.\nAnswer: 6, 3, 2, -4, -9, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.39 + -0.09. Let w = 2851 + -2843. What is the fourth biggest value in c, -1, 4, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n - 34. Give z(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/937107 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*j*k**2*q - 2*j*k**2 - 2*j*k*q + j*q - k**2 + 37*q wrt k?\nAnswer: 14*j*k*q - 4*j*k - 2*j*q - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 1057.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 473 divide 329681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 71063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/540 and 43\/684.\nAnswer: 10260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/235639?\nAnswer: -3\/235639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27576 + 27899. Solve 16 = -f*d + 307*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 122 by -961.\nAnswer: -122\/961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -12*m - 5. Let c(a) be the third derivative of -23*a**4\/24 - 11*a**3\/6 + 2*a**2 + 2*a - 5. Determine 2*c(u) - 5*t(u).\nAnswer: 14*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**5 + 65*u**4 - 4349*u**3 - 193*u**2 + 13168*u - 8692 = 0.\nAnswer: -106, -2, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a + 3. Suppose -y + 5 = 2. Let p(s) = -s**2 + 6*s + 4. What is y*p(g) - 4*v(g)?\nAnswer: -3*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 1. Suppose -20 = b - 22. What is the second derivative of -4*j - 7*j**3 - 6*j**b + 0*j**t + 6*j**2 wrt j?\nAnswer: -42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 32 = 7*g. Let d = g - 1. Let u = 14 - d. What is the remainder when u is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 262422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1731 divided by -10.\nAnswer: -1731\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -2. Let l = -36 + x. Let n = 92 + l. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1686201914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o**5 + 5*o**4 + 8*o**3 + 4*o**2 = 0. Calculate o.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 213403 (base 5) in base 7?\nAnswer: 30303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*s - 3*q - 7050, s + 4*q - 2345 = 0. Let h = 3540 - s. Does 50 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21 or 102\/5?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 32664 (base 16) to base 2\nAnswer: 110010011001100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c*y**3 - 28*c*y**2 + 2*c*y + 58*y**3 wrt y?\nAnswer: 18*c + 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 8*b + 60. Let t be k(13). Let j(v) = -6*v - 6. Calculate j(t).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 447390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -684, -650, -618, -588, -560, -534, -510?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 0.44.\nAnswer: 2.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 - 18*t**2)*(-1 + 3 - 3).\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -27*n**2 + 40*n + 28. Let i(k) = -5*k**2 + 8*k + 6. Let r(y) = -11*i(y) + 2*z(y). Suppose 13 = -5*a + 58. What is r(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -10 - -1) + -1 + (-147 - -153)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-161)\/805)\/(3\/(-65)) - 1*5.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/25)\/(58\/87*2\/(-36)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-8)*(-312)\/(-351).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -266, -38, 186, 406, 622?\n\"Answer: -2*m**2 + 234*m - 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**33\/x**(6\/7)*(x**(3\/13)\/x)**(-7\/6) assuming x is positive.\nAnswer: x**(9020\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3140 and 20496664?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4014 divided by 2007.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 932 = 5*j - 4*u, 1 + 1 = u. Calculate the highest common factor of j and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 0.268010643?\nAnswer: 3.268010643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3bd (base 14) in base 5?\nAnswer: -11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i. Let t = 55 + -53. Suppose 5*z - 12 + t = 0. Let f(c) = -z*c - 1368 + 1368. Give f(q(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.41? (a) -1626 (b) 0.2 (c) -0.92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + -18 + (-15 - 10) + 48?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 4, i: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 8360 = 5*z, 44*c - 42*c + 3362 = 2*z. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iy when two letters picked without replacement from {i: 1, y: 12, v: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*f = -167*f + 414 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 109*p**3 - 2*p**2 + p. Let u be a(1). Let m be 1\/6 + (-186)\/u. Suppose -y + 2 = 5*o, 3*y = -3*o - 3 - 3. Is o at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22 and -1055052?\nAnswer: -23211144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 12\/25 of a kilometer?\nAnswer: 48000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2314925 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve -120*m + 23920 = 68*m + 124*m + 6136 for m.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -4*u + 892. Suppose -u - 67 = -10*h. 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: Sort -0.03, 1, -2.3, -5, 4.\nAnswer: -5, -2.3, -0.03, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(63)\/(-3*sqrt(36) + sqrt(9)))**2*-2.\nAnswer: -14\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 88 + 269. Calculate the highest common divisor of u and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1888, 12 in increasing order.\nAnswer: -5, 12, 1888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 1565 = 1504. Is 15 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27090.6 - -27091. Which is the nearest to -0.4? (a) -5 (b) k (c) 1 (d) -0.55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 + 0.1. Let c = 286960.7 - 286967. What is the third smallest value in 1\/3, d, c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7cd5 (base 16) to base 2\nAnswer: 111110011010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**0\/b*b**(-1\/4)*b*(b**(2\/15)\/b)**(-7\/6) assuming b is positive.\nAnswer: b**(137\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-12) - (-15)\/4. Let l be (40\/25)\/(q\/10). Let d be 10\/5*l\/2. Solve -7 + 23 = -d*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**3\/3 + 2653747*s**2\/6 - 220074658202*s\/3 + 55018415762 = 0.\nAnswer: 3\/4, 331718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2111*c**2 - 2129*c**2 - 161745*c**3 + 161747*c**3.\nAnswer: 2*c**3 - 18*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9052 = 47479*x - 47771*x for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6)*42\/7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 473262.8l in millilitres?\nAnswer: 473262800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52.7 - 2.7. Let b = 49.999852 - q. Round b to 5 decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -30\/1141 and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 659 - -580. Suppose -4*t + 2*o + a = -t, 3*t - 1239 = 3*o. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 90*z**3 - 38330*z - 19095986 wrt z.\nAnswer: 270*z**2 - 38330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35720 and 22712?\nAnswer: 101409080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 6, -1, 0, 31.8, -91.4 in descending order.\nAnswer: 31.8, 6, 0, -1\/2, -1, -91.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (118\/(-118))\/((4\/800*-4)\/(-1))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4622*s**3 - 645*s**3 - 1295*s**3 + 6522*s**3.\nAnswer: 9204*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 3*i**2 + 6*i - 24 = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -1674752?\nAnswer: -1674753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29516, 29514, 29512, 29510, 29508, 29506?\nAnswer: 29504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/5 (b) -4 (c) 30\/7 (d) 9\/4 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 - -54. What is the nearest to 2 in -0.3, q, 3\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3509 divided by 2\nAnswer: -3509\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2 + b + 4*b**2 + 168 - 165 - 5*b. Let o be 1\/4 - (-19)\/4. List the prime factors of q(o).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p - 7. Let u(i) = -155 + 6*i - 153 - 162 + 490. Determine 14*t(d) + 5*u(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011000110 + -1100?\nAnswer: -1011010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 5*f = -11, -4*c + f + 2 = -3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 247569403*l**2*u - 10*l + 16693*u + 66 wrt l?\nAnswer: 495138806*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, -3, 62271, -4 in increasing order.\nAnswer: -46, -4, -3, 62271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03205598 rounded to 3 dps?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6169 or 4115?\nAnswer: 4115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 79597 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 9*n + 12. Let c be d(9). Let k be 32\/14 - 6\/21. Suppose y = -5*p - 1, -2*p + k*y + 2 = -6*p. Solve 4*v - v - c = p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4622*a + 5*c = 4621*a - 14, -31 = 3*a + 4*c. Let m(k) = -k**3 + 4*k**2 - 2*k - 5. Let y(n) = -3*n**3 + 16*n**2 - 9*n - 21. Give a*m(h) + 2*y(h).\nAnswer: 3*h**3 - 4*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -1\/13*b**2 + 0 - 1\/78*b**4 - 2\/39*b**3 - 2*b. Suppose x(f) = 0. Calculate f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/280 and -1\/18.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 10:55 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 172*n**2 + 85148*n + 3960.\nAnswer: 4*(n + 495)*(43*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -46. Let d be (-6857*7)\/(3\/a). Suppose -o + 2*i - 159980 = -2*i, -2*i + d = -3*o. What is o rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -24, -27, -16, 15, 72, 161, 288?\n\"Answer: z**3 + z**2 - 13*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 169*s + 3702. What is the hundreds digit of l(80)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a669690 - 8?\nAnswer: a669683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**4\/12 + 8*a**2. Let z(f) = -8*f**2. Give z(h(g)).\nAnswer: -32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5.6628 + -766.18\nAnswer: -771.8428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccccccc. What is prob of picking 3 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19316, 18602, 17424, 15782, 13676, 11106?\n\"Answer: -232*v**2 - 18*v + 19566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/2 - (-75)\/(-30). Suppose -3*y - 2 = -r + 3*r, 0 = -3*y - 3*r. Which is bigger: y or q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.105 and -0.3?\nAnswer: 0.0315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*g + 0*g = 55*g + 76674500. Round g to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4489*m - 666*m + 4292*m + 10 + 1605*m.\nAnswer: 9720*m + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -144.63724 to the nearest integer.\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 0*n + n + 20 - 3*n - 8. Let h be d(20). Let x be 2\/h*(-11 + 9). What is the smallest value in 5, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -25, -7, 11, 29?\n\"Answer: 18*s - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p. Let u(l) be the third derivative of 17*l**4\/12 - 148*l**2 + 1. What is v(u(y))?\nAnswer: -102*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 212, 6, 2, -590, -5, 3 in decreasing order.\nAnswer: 212, 6, 3, 2, -5, -590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -31685 less than 0.9?\nAnswer: 31685.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.4708 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 4:01 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.188 - 0.4?\nAnswer: -0.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/12164 and 95\/2.\nAnswer: 12164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4}. What is prob of picking 2 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/35)*c**(1\/2)*c*((c**13\/c)\/c)\/(c\/(c**(-1\/3)*c)))**40 assuming c is positive.\nAnswer: c**(10196\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 8*k**2 - 8*k + 10. Let i be v(7). Suppose i*r = 2*b + 2*b - 16765, 0 = -5*b - 3*r + 20990. Suppose -b = -4*l - l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 22. Suppose -4*g + 36 = -3*l, -3*l + 9 = g - r*g. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1010, 1009, 1008, 1007, 1006?\nAnswer: 1005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35482098.\nAnswer: 2, 3, 199, 29717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (60\/(-100))\/(2\/110).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 861 divided by 6?\nAnswer: 287\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-400)\/(-3) - (-9 - -3)\/(-18). Let c = 34 - 14. Suppose 3*i = z + c. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.35 - 3.28. Let j = 0.07 - n. Let u = -571.9 + 572. What is the second biggest value in -3, j, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8, 0, 0.5, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2035 + -1854. What is the remainder when 372 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3081957637*d**2 - 1540978819*d**2 - 1540978815*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -64*s + 64*s - 9*s**4 + (4*s - s - s)*(0*s**3 - s**3 + 0*s**3) + (0*s**2 + 0*s**2 - s**4)*(-1 - 4 + 3) as d + v*s**3 + w*s**2 + p*s**4 + m*s and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 890710.\nAnswer: 2, 5, 89071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 - 2*p**2 + p**2 - p**3 + (-p + 2 - 2)*(6*p - 513*p**2 - 6 + 1011*p**2 - 508*p**2) to w + c*p + a*p**3 + l*p**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*b**3 - 20*b**3 - 44*b - 111*b**3.\nAnswer: -161*b**3 - 44*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 2*j**2 + j)*(j + 4*j - 7*j + (2 + 0 - 1)*(-j - 3 + 3) + 2*j - 1 + 1 - 12*j + 72*j - 5*j).\nAnswer: -108*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*g - 199*g + 15*g)*(-2 + 0 + 4)*(0 + 4 - 2).\nAnswer: -772*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(308)\/(-2*sqrt(11)) + sqrt(28) - sqrt(28) - sqrt(28)) + -4)**2*5 + -1.\nAnswer: 120*sqrt(7) + 394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3078\/13 at least -236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 8*m - 14. What is the nearest to m in 0.3, 5, -2.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-3)*-1 - 1)*-3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -q**4 + 98*q**3\/3 + 2*q**2 + 55*q - 70. What is the second derivative of z(l) wrt l?\nAnswer: -24*l + 196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 divide 103501528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 169100967 to the nearest integer?\nAnswer: 13004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 45262783 + 3*j - 45263453 - 2*j - j.\nAnswer: j - 670","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) 56\/5 (c) 23.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - 19) + -29 - -10?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 178067 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 8:56 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124785.\nAnswer: 3, 5, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49)\/(8232\/(-228))*14?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 19, 21, 23, 25, 27, 29?\n\"Answer: 2*s + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/5 + 4\/(-10). Suppose -c + k*o + 14 = 4*o, -o - 43 = -2*c. Let g = c - 17. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1770517523 to the power of 1\/2, to the nearest integer?\nAnswer: 42078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 40430\/17857?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3405924 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-7 - ((-2 - 3) + 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 2 + 32. Suppose -103*o - 80 = -123*o. Suppose o = -2*l + y. Sort -3, -4, 0, l.\nAnswer: -4, -3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -198379 or -198300?\nAnswer: -198379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (280\/(-36) + 4)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -13 - (-2 - -9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 2*s - 10 = 0, 0 = 4*q + 346*s - 348*s - 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*1*-4 + -1*-2*sqrt(76))\/(5*3*sqrt(196)).\nAnswer: -2*sqrt(19)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 38 = 4*o, 0*o - 42 = -2*h - 5*o. Let z = h - 67\/6. Let q = 0.21 - -0.19. Which is the third smallest value? (a) z (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = 17*q. Which is smaller: 2\/181 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7605*y**4 - 29640*y**3 - 19715*y**2 + 2260*y - 60 = 0.\nAnswer: -3, -1, 2\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 6*w**2 - 8\/3*w**3 + 5*w + 5 + 1\/4*w**4. Let b be n(6). Let o(l) = -l**2 + 5*l + 6. Give o(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 295.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 91*t**6 + 18*t**3 + 46*t**2 + 9*t wrt t.\nAnswer: 10920*t**3 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11\/40 + 1\/8. Factor 4\/5*p**2 + 0*p + 0 + a*p**3.\nAnswer: 2*p**2*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 11*d = -1095. Suppose 5*c + d = 5*q, 4*q + 4*c = -q + 347. List the prime factors of q.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161929 is divided by 44?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00136001 rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*a**2 - 97*a**2 - 59*a**2 + 261*a**2.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 469812?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 723 + 171. List the prime factors of q.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1573) + 2 - sqrt(1573) - (5 + 1*sqrt(1872)))**2 + -3.\nAnswer: 72*sqrt(13) + 1878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -472*b*z + 498249*b + 360*z with respect to z.\nAnswer: -472*b + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -16510.63804 to 0 decimal places.\nAnswer: -16511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-286668.\nAnswer: 860004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24\/(-15)*(-604210)\/568. Solve 4*x = g - 1678 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 551610 and 46535.\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/((-9)\/96)*(-1494)\/12.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62406763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -34*t + 61591. Is f(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (-79 + 87 + (-13 - 0)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -287*k**4*p - 2*k**3*p**3 - 79*k*p**3 + 3*p**3 wrt k.\nAnswer: -3444*k**2*p - 12*k*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (840\/1400)\/(1\/(10\/(-2)))*-10118.\nAnswer: 2, 3, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29*148\/106227)\/(-2)?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14745435.69999995 - 14745436. Let q = 0.8 + -0.5. Let t = q + k. Round t to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*t + 22 - 100 - 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 4. Let b be y(0). Let w = 6 - b. Solve -w*g = g + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -489, 3005, 10479, 21933?\n\"Answer: 1990*i**2 - 2476*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14239956 and 5058?\nAnswer: 42719868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j - 3*i = -6, 4*i - 25 = -3*j. Solve -j*s - 13 = -n, 3*s + 10 + 5 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 4*v. Suppose -p + 16 + 0 = v. Solve p = 6*a - 2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250)\/(sqrt(30)\/sqrt(3)))\/sqrt(5).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10130 is divided by 596.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11890*a - 6189*a + 550*a + 2545*a - 2293*a to the form s*a + u and give s.\nAnswer: -17277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 - 48 - 1900*t + 42 + 1895*t to the form b*t**2 + l + f*t and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 377165258?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + 3*c**2 + 4*c**3 - 73715 + 73715.\nAnswer: 4*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y + 9*y - 76360*y**2 - 3*y + 76358*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 189242896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3)*o*o\/(o\/(o\/o**(-1\/6)))*(o*o\/(o\/(o**0\/o)))\/o**(-1))\/((o\/(o\/o**(2\/9))*o)\/((o\/o**0)\/o)*(o**(2\/5))**(-12\/11)) assuming o is positive.\nAnswer: o**(-613\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-25))\/(2\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.004, 1\/5, 0.01, -5?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*g = -g + 18, -2*g = -4*n. Find the common denominator of -18\/5 and n + (-10)\/(-44)*-2.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -8, 1\/7, 72\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 14\/9 of a week?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -89870 or -89871?\nAnswer: -89871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 184?\nAnswer: 1\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -1612*h**2. Let u(f) = -10*f**2. What is u(o(z))?\nAnswer: -25985440*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 9. What is the derivative of 44*f**x + 13 + 42*f - 3 - 40*f wrt f?\nAnswer: 88*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -8. Let j = 5 - b. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 2*j**2 - j. Suppose 7*t + 5 = 2*t. Let q be n(t). Let x(b) = -b**2 - b - 1. Give x(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 8:48 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -2. Suppose 0 = c + q*c. Let x be -32*(-5 + 2) + c. What is the highest common factor of x and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -3*v + 6. Let j = -344 - -352. Suppose 0 = -j*i - v*i + 1430. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10161294 by -26.\nAnswer: 390819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + 3*b**3 + b + (b + b**2 - b + (-3*b + b + b)*(-2*b + 2*b - 2*b) + b**2 + 2*b - 2*b + 10 - b**2 - 10)*(-21*b + 5*b - 17*b).\nAnswer: -96*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 16. Suppose m - 3 = o, 4*m + 4*o + 0 = 12. Suppose m - f = -p. Solve 0 = 4*i - 20, p*h - 4*h + 4*i - 17 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-9)\/(-36)*16\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 15*u**2 - 12*u - 23. Suppose 4*f - 18*f + 196 = 0. Let y be c(f). Solve 3*i = -5*r - i + 21, -25 = -4*r + y*i for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -131, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c - 3*c - 13*c**3 - 25*c**3.\nAnswer: -38*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (24 + -12 - 15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 35*h. Let g(o) = 4*o**2. What is g(t(m))?\nAnswer: 4*m**4 + 280*m**3 + 4900*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1536560362 - 5.\nAnswer: -1536560367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5 = 4*m, 4*n + 11 - 3 = 4*m. Let w be ((-55)\/(-44))\/((-1 - -2)\/(-16)). Let d be 0\/((-2)\/(-4) - w\/(-8)). Solve d*b + 15 = -n*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 434957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -20) + 0 + -21 + 20 + -9 + -48\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 471*x**2 + 46531*x + 350. What is s(-330)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 10, m: 9}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*n + 2*b - 3 = -35*n, -4*b - 9 = n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 2)*(-1)\/2. Let d = 97\/8 - 857\/72. What is the nearest to v in d, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 10 = -7*a + 12*a, -z - 8 = 4*a. Let p(i) = -4*i**2 - 4*i - 2. What is p(a)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2298690 by 153246.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1536 - -1.0966. Let f = j + 0.057. Sort f, 0.52, 3 in descending order.\nAnswer: 3, f, 0.52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13 + 1 + 9\/6*-2. Let l be q - 9 - (2 + 169000). What is l rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 0. Let n(t) = 3*t**2. Let w be n(1). Suppose -5*r = -0*b + 4*b + 4, w*r = -2*b - 4. What is the lowest common multiple of b and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2023 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 16 - 69. Let p(c) = -c**2 - 18*c + 59. Calculate the remainder when p(z) is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24868 is divided by 414.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 81*l - 28 + 3 + 82*l + 73*l - 234*l. Let o(s) = -49*s. Calculate o(v(t)).\nAnswer: -98*t + 1225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12545\/7 + 1797. Solve -12\/7 - 10\/7*m**2 - w*m = 0.\nAnswer: -3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*i**3 - 9*i - 3*i**3 + 7*i - 7*i**3 - i**3 - i**3 + (-2*i**2 + 0*i**2 + 3*i**2)*(-5*i + 3*i + 3*i).\nAnswer: -3*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j**3 - j**2 + 11*j - 6. Let k(p) = 2*p**3 + p**2 - 13*p + 5. Let w(d) = 4*k(d) + 3*t(d). Give w(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times -1367504\nAnswer: 95725.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/31)\/(-3))\/((-2)\/(-2))*2.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1364158*k - 1328962 with respect to k.\nAnswer: 1364158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hm when two letters picked without replacement from mmhehmhmhmhhhmehuhm?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 68*h**3*s + 8*h**3 - 6 wrt s.\nAnswer: 68*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 35 - 20 + 3*j**4 - j**4 + 0*j**4 + j**2 in the form y*j**3 + i + v*j**2 + t*j + w*j**4 and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 - 42 = 94*w. Let f(m) = -13*m**3 + 2*m**2 + 5*m + 2. Give f(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 95*a**2 - 38 + 4*a - 192*a**2 + 4*a - 140*a**2. Let u(d) = 158*d**2 - 5*d + 25. Let w(v) = -5*t(v) - 8*u(v). Differentiate w(n) with respect to n.\nAnswer: -158*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68887798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1584 and 99?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6033.133 micrometers in nanometers?\nAnswer: 6033133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(147) - sqrt(147))**2 + (sqrt(3) + 0 + -5)**2.\nAnswer: -10*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/13)\/(b*(b\/(b\/(b**(-9)\/b)))\/b)*b**(-24)*b**(-15)\/b assuming b is positive.\nAnswer: b**(-391\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/34, -0.4, -4, -0.5, -1.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 700883.9 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 44987081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + -4716?\nAnswer: -4710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8e1bcd3 - 4?\nAnswer: -8e1bcd7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*q**2 - 30*q**2 + 90*q**2 - 31*q**2)*(-16*q**2 + 2*q**2 + q**2)*(2*q - 3*q + 0*q).\nAnswer: -52*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 16*c**2 + 0*c + 9\/2*c**3 + 7\/60*c**5 + 0 + 0*c**4. Find the first derivative of q(u) wrt u.\nAnswer: 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/60*(-1 + (-10)\/(-5))*-1\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12978, -25953, -38928?\nAnswer: -51903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*x = 0, 3*p + 4*x = 0. Suppose p = -6*c + 5873 + 469. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 207, -0.5, 2\/7, 2\/13, -0.648?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -651614 (base 7) to base 10\nAnswer: -113495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = o - 4. Let x(c) = -4*c**2 + o - c**3 - 14*c + 4*c**2 + 2*c**3 - 10*c**2. Is x(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1395156, -2790347, -4185538, -5580729, -6975920?\n\"Answer: -1395191*t + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 4 - -9)\/((-63)\/36). Is -6 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 12*m - 16. Let g be k(-11). Let s(d) = -d**2 - 7. Let n(x) = -22488*x**2 - 22485*x**2 - 1 + 44972*x**2. Give g*n(a) + s(a).\nAnswer: 4*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 399486164?\nAnswer: 399486164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/13600823 and -19\/1985?\nAnswer: 68004115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 7*j - 3. Suppose 0 = 2*i + 2*m, 0 = 4*i - 3*m + 2*m. Let u be -1 + (-3)\/(-1) + i. Let v be w(u). What is the highest common divisor of v and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (6 + -5) - (-4 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 349 - 309. What is the third derivative of -30*u**4 - 5*u**2 + p*u**2 - 6*u**2 + 109*u**2 - u**3 + 83*u**4 wrt u?\nAnswer: 1272*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -579, -569, -553, -531?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13874 and -0.1?\nAnswer: 13873.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 205, 307?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 4*a = 4, 2*a - 6 = 118*o - 119*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -839 + 24?\nAnswer: -815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 12 + 3 = 0. Suppose -4*r = 5*d - 113, -4*r - j*d = -0*d - 103. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y. Let o be 5\/((-130)\/(-48)) - 4\/(-26). What is d(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 68 + 23. Let r(k) be the first derivative of -k**4\/4 + 4*k**3 + 7*k**2 + 3*k - 1. Let d be r(t). What is the greatest common factor of d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1755 (base 15) in base 14?\nAnswer: 1b94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 19 = 76. Let u = l + -20. Let z(t) = -t**3 - 3*t**2 + 4*t + 1. Let j be z(-4). Put j, u, -3 in increasing order.\nAnswer: -3, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 1 = 2*l, 4*l + 3*c - 20 - 23 = 0. Suppose -2*m = p + 16 - l, 5*p - 20 = 3*m. Does 6 divide 2*(78\/4 + p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n = 3*u + 23, -3*n + 10 = -u. Let x(v) = -1 - v**3 - 3*v**2 + 3 - 4*v**2. What is the units digit of x(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 2294*c - 158. Determine r(0).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27217279 to the nearest integer?\nAnswer: 5217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4, -217, -820, -1997, -3940, -6841, -10892, -16285?\n\"Answer: -32*p**3 + p**2 + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 6*n**2 - 8*n + 7. Let d be k(7). Suppose d = -m + 7 + 3. Let p(c) = 138*c + 19. Is p(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 855 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: Suppose 0*o = 3*p + 4*o - 31, -23 = -3*p + 4*o. Let u be (p + -9)*1\/2 + -4099. Let g = 1099 + u. What is g rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 2, 33, -1\/4, 2\/785?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 0 - 181*n**2 - 53*n**2 + 1 + 4*n**2 - 11*n**2. Let w(o) = -2*o**2. Determine w(u(b)).\nAnswer: -116162*b**4 + 964*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*i**5 - 16*i**4 + 230*i**3 - 4*i**2 + 154180*i - 3 wrt i.\nAnswer: -780*i**2 - 384*i + 1380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1149\/13 - -42583\/494. Find the common denominator of d and -31\/14.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -39*f - 3955. Let c be a(-103). Solve -3*b + 74 = c for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 315230 and 10870.\nAnswer: 315230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -20\/9, -1\/3, 40, 0.5, 0.2, 4 in decreasing order.\nAnswer: 40, 4, 0.5, 0.2, -1\/3, -20\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.412366um to nanometers.\nAnswer: 8412.366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63641*g - 3 + 272*g**2 + 3 - 63641*g.\nAnswer: 272*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/7 + 160\/(-28). Let n = 6 + m. Solve n = 2*j + 3*j + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27808078 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170148 is divided by 13086.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 573 and -1\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3762, -3706, -3686, -3720, -3826, -4022, -4326?\nAnswer: -4756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137551?\nAnswer: 67, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000032061 to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 362 - 28599\/79. Let o(h) = -h**2 - h + 19. Let r be o(-5). Which is smaller: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -848 + 2635 = 343*z - 4387 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9 - 10)\/((-1)\/5). Let s be (-50)\/44 - b\/(-10). Which is greater: -2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 21. Suppose -d + 52 = 2*m. List the prime factors of 1\/4 - (-426)\/m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 5*r**3\/3 - 15*r**2 + 25*r - 35. Find c such that t(c) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 351.\nAnswer: 5\/351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -6 - 8 + b - 25*b**3 + 41*b**3 - 17*b**3. Let v be m(0). Are -14 and v unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50373?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (3 + -1)\/(-2). Let q be 8\/(o*6\/(-3)). Suppose -3*d = q*i - 17, -4*d + 29 = -6*i + 5*i. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 11:49 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 520161*j**2*p - j*p - 359557*p wrt j?\nAnswer: 1040322*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-47394)\/(-48) - (-1)\/((-24)\/9). Let n = d + 8356. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*x**3 + 1020*x**2 + 2028*x - 336.\nAnswer: -3*(x - 28)*(x + 2)*(13*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q + 3. Calculate b(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -14*k**3 + 6*k. Let y(b) = -4*b**3 + 3*b**3 + 3416*b - 1 + 1 - 3415*b. Determine -f(m) + 6*y(m).\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -163\/2 - -83. Let l = 114 + -113.919. Let y = l - -3.919. What is the closest to 0 in -1\/5, y, r?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**3 + 5*q**3 + 0*q**3 + (-2*q + q - 2*q)*(q**2 - 5*q**2 + 0*q**2).\nAnswer: 15*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/135 and 127\/12?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -159 by -1.\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -53220 divided by 3?\nAnswer: -17740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2320*i**2. Let j(s) = s. Calculate d(j(o)).\nAnswer: 2320*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/((-5145)\/42)*1519\/(-14)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 104.51, -0.3, -76?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, c: 12}. What is prob of picking 3 i?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*o**4 + 469*o - 469*o)*(0*o - o + 0*o).\nAnswer: 37*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -132656177991.\nAnswer: -132656177991.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 0 (b) 1\/2 (c) -859\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 652986.\nAnswer: 2, 3, 36277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 9*p**2\/2 + 1. Let q(n) be the second derivative of 0*n**3 + 7*n + 0*n**2 - 1\/6*n**4 + 0. Calculate f(q(k)).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1431 (base 8) to base 7\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*d - 23 = d, y + 3 = -d. Suppose -6*p + y*p + 356 = -5*m, 2*p = 5*m + 188. Suppose 0 = 3*q + 4*f - p, 2*q + 4*f = 32 + 20. Is 16 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/3*1\/3*9*10\/620?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, a: 2, u: 1, f: 3, p: 8, q: 1}. Give prob of picking 4 p.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27611 is divided by 234.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(63*(-4)\/224).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -164 + 169. Suppose 0 = y*g - 61 + 21. Solve -2*s - 4 = -4*z + z, 4*s + g = -3*z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/2142*17*354)\/((-2*1)\/(-2))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 169075 a multiple of 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.38943 - -0.392. What is x rounded to four decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*b = -75 - 59 - 38 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158321, -158334, -158363, -158414, -158493?\nAnswer: -158606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 298453?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -r**6\/120 + r**5\/60 + r**4\/24 + 2*r**3\/3 + 2*r**2. Let n = 1 + -1. Give l(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 4408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a6fd1 (base 16) in base 10?\nAnswer: -1732561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2\/15))**(3\/5) assuming q is positive.\nAnswer: q**(13\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1847 (base 9) to base 7\nAnswer: -4066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 2489 = h + 2*b, 0 = 3*h - 4*b - 7511. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-217)\/(-3) + (-9)\/27. Suppose 25*i - a = 28. Let p be (-2)\/(1 - 3\/9). What is the smallest value in p, i, -1\/6, 2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-159)\/48 + 3)\/(7\/(-28))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 482 + f?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 10*m - 2736. Suppose 41*h - m = 37*h. Let r = 132 - h. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 11 - 1. Let x be (-232)\/(-87)*6\/t. Solve -p + 3*h = 8, x*p + 3*h + 2*h = 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*g - 23, -z = 4*g - 1 - 2. Let t(c) = 18*c. Let a be t(4). Suppose 5*p = j + p - 58, g*j = -3*p + a. Is j a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/340 + -2889\/340. Let m = d - -8. Are 7 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2679 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = -28*t + 37*t. Let c(j) = -4*j - 63. Let d be c(t). Solve 0*p - d*p = -45 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -311383 (b) 0.5 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 43416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/(-20)*4\/2)\/((-8792)\/1884)?\nAnswer: 15\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h**2 + 20 + 30*h**2 - 20 - 8*h**2 - 14*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-8)*((-44)\/6)\/(68\/(-408))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + f - 2 = 0, 4*i + 4*f = 6*f - 16. Let q be ((-4)\/(-8)*i)\/((-2)\/186). Let c = 244 - q. Does 21 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 6*k**2 - 6*k - 6. Suppose 4*m + s = -m + 35, 15 = 3*s. Let r(d) = -2*d + d**2 + 3*d + 1 + 0. What is m*r(g) + z(g)?\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(102) + sqrt(102))*-6 - sqrt(102) - sqrt(102) - 2*sqrt(102)*-4)\/((sqrt(54) + sqrt(486) + (sqrt(486) - sqrt(486)*1))\/sqrt(9)).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 3*b + 4, 2*x - 2*b - 2 = b. Let j(t) = 4*t + 3. Calculate j(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.813 - 2.187. Suppose y - l = -57, -2*l - 12 = y + 48. Let q = -349\/6 - y. Sort q, j, 1.\nAnswer: j, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 135319923?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56690 - -15.\nAnswer: 56705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + (17 - 30) + 0 + 2?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/4)\/(3\/6). Let i(l) = -564*l - 2. Let u be i(p). Let z = u - 275. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32*-0.06\nAnswer: 1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.74 + -0.5. Let n = -0.16 - -0.1. Let x = n - h. Put -1, -1\/2, x in increasing order.\nAnswer: -1, -1\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i + 2 + 3*i**2 - 3*i**2 + 0*i**2 + i**3. Let f be u(2). What are the prime factors of -3 + (-1 - (-36 - f))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 h, and 1 i when three letters picked without replacement from {i: 2, c: 5, s: 4, h: 1, r: 1, w: 2}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/(-9))\/(4\/18). Let x be 3\/(4 - 1) - q. Suppose -3*h = 4*s - 9, 5*s + 5*h - x = 8. Which is greater: s or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5405*c - 216197. Let r be b(-40). Suppose 4*t - 2*t**r + 4\/3 + 5\/3*t**2 = 0. What is t?\nAnswer: -2\/3, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*x - 4*b, 4*x - 2 = -3*b - 0*b. Suppose 4*u = -3*c + 2324 - 162, 1621 = 3*u + x*c. Let f = 1240 - u. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1.3 (b) -5\/6 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.037738278 rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*f**3 - f - 31*f**3 + f.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 b, and 1 z when three letters picked without replacement from {i: 2, t: 4, m: 1, z: 1, b: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g**2 - 96*g - 57. Let s be b(-31). Which is smaller: s or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - -12) + -3 - -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**2 + 3*s - 4 - 26*s - 2. Suppose -13*g = -g - 180. Calculate the remainder when b(7) is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 25 = -g, -6 + 31 = -5*g + 5*x. Suppose i + 3*n = 26, -3*n = -g*n + 6. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 40. Suppose 0 = -h + 48 + 33. What is the remainder when h is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 7:23 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1332\/7 + -191. Suppose 14*x - 15*x - 2754 = 0. Let v = -27509\/10 - x. Calculate the common denominator of r and v.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39 and 2808.\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/2 (b) 6\/163 (c) 273\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 617, 619, 621, 623, 625?\nAnswer: 627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*u = -5, -50 = 3*d - 8*u + 4*u. Let j = -4 + 3. Which is the closest to j? (a) 3 (b) d (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26317087 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*r = -2*n - 45*r + 4, 24 = n - 4*r for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 669*b + 67. Let h be f(6). What is the greatest common factor of 231 and h?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 70 and 1016.\nAnswer: 71120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40*g**4*h + 17*g**2 + h + 485 wrt g.\nAnswer: 160*g**3*h + 34*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvmf when four letters picked without replacement from ypyvypffmffyfppfffbb?\nAnswer: 7\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 2:34 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5473044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 11*j**2. Let d(y) = 2*y**2 + 5*y - 5. Let u(b) = 3*b**2 + 7*b - 7. Let z be (-4)\/((-4)\/(-5)) - 2. Let v(l) = z*d(l) + 5*u(l). Give v(r(k)).\nAnswer: 121*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -15 (b) -2\/5 (c) -11 (d) -0.3 (e) 32 (f) -11.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*o - 4*o**3 - o**4 + o**3 + 7*o**3 - 2*o**3 + 1 as u*o**3 + p*o**4 + s*o + j*o**2 + b and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 101101001111 (base 2) in base 3?\nAnswer: 10222020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1693, -2\/3, 2\/3 in descending order.\nAnswer: 2\/3, -2\/3, -1693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 73*n**2 + 227*n + 328. What is the smallest common multiple of u(-76) and (-6)\/(-4) + (-2)\/(-4)?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -0.032390854.\nAnswer: 1.967609146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 6*z**2 + 3*z + 3. Let g be s(-1). Let m(p) be the second derivative of -p**3\/3 - 5*p**2\/2 + 3*p. Let i be m(g). Which is smaller: -33\/2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + r - 2. Let u(t) = 2 - 2*t**2 - 144*t + 146*t + 0 - 5. What is -3*u(h) + 5*v(h)?\nAnswer: h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/11 (b) -42 (c) 5\/9273\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/5))**(-6))**(20\/9)*(u**(-6)\/u**8)**(2\/7) assuming u is positive.\nAnswer: u**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 36272, -9, -5, 1, 5, 2 in ascending order.\nAnswer: -9, -5, 1, 2, 5, 36272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 10220?\nAnswer: 10220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 663 is divided by 198.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1\/46, 4, 0.0085, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-110*m + m + 0 + 3)*(1 - 4 + 4)*(3 - 5 + 7).\nAnswer: -545*m + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -507494\/27 - -18794. Calculate the common denominator of -151\/30 and n.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65812 plus 0.01306356?\nAnswer: -65811.98693644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3394569097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 6*w - 6 - w**2 - w**3 - 4*w**2 - 4*w. Let q be y(-6). What is the greatest common factor of 2 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2. Let s be b(1). Let h be s - (-5)\/((-5)\/(-3)). Suppose h*k**4 - 2*k**4 + 2*k**5 + 2*k**3 + 4*k**4 = 0. Calculate k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43407 - 1823201\/42. Let u = m + 11495\/4578. Is u at least -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(1*(4 + -3)). Sort h, 4, 1.\nAnswer: 1, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*q - 71297 = 0, 99603 = 11*l + 2*q - 57248. What is the ten thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -16*z - 1. Let r(n) = -80*n - 2. Calculate -16*p(y) + 3*r(y).\nAnswer: 16*y + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 5*a + 59963, -g = -2*a - 1255 - 13732. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -343 - -345. Let k(a) = a**3 - 6*a**2 - 7*a + 3. Let u be (-130)\/(-13) - 3*1. Let o be k(u). Solve -v + g*l = 4*v + 9, 0 = -o*v + 5*l - 13 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 12*q**2 - 15*q + 9. Let x(t) = t. Let k be x(11). Let g be o(k). Let r = -17 - g. Calculate the remainder when r is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lt when two letters picked without replacement from {t: 3, l: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 600817146 is divided by 5071?\nAnswer: 5066","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 243.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 - 3*q + 2. Let n be v(3). What is the greatest common divisor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 2:35 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -14c?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/5 + (-18)\/(-189)*7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*m - 73*m - 24 = 0. Let x(q) = -4 + 1 - 6*q + m*q - q. Determine x(-11).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2718 to the nearest 100.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*q**3)*((-2*q + 2 - 2)*(2*q - 2*q + 2*q) + 0*q**2 + 2*q**2 + 3*q**2).\nAnswer: 2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n + 20. Suppose -5*p - b - 48 = 4, p = 5*b - 26. What is the tens digit of s(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -295*b + 3 = -294*b. Solve 576\/7*y**5 - 8\/7*y**2 + 96\/7*y**4 - 92\/7*y**b + 4\/7*y + 0 = 0.\nAnswer: -1\/3, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14660?\nAnswer: 2, 5, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/3 - 5*h**2\/3 + 44*h\/3 - 20.\nAnswer: -(h - 3)*(h - 2)*(h + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396 is divided by 69?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, t: 17}. Give prob of picking 3 t.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -7. Let l(y) be the first derivative of 4\/27*y**3 + 1\/18*y**4 + z + 0*y + 1\/9*y**2. Suppose l(o) = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-7)\/(-9) - 1. Let r = 4\/325 + 317\/650. What is the fourth smallest value in -0.3, r, -2, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -6. Factor 2*z**2 - 5*z**2 + 0*z**2 + c*z.\nAnswer: -3*z*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 2*q. Suppose -4 + q = a. Let w(d) = 1. Let n(k) = -3*k**2 - 4. Determine a*w(p) - n(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4665622 divided by -4043?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -38340505.3 rounded to the nearest 10000?\nAnswer: -38340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 8 = -18. Suppose o*y - 270 = -0*y - 5*b, -2*y + 110 = b. What is the highest common divisor of 14 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/18*(51\/102)\/(9\/(-2)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, g: 2}. What is prob of sequence wwgg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5528303 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 16, 27, 26, 7, -36?\n\"Answer: -q**3 + 18*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 826? (a) 428 (b) -17 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3083*o**2 - 5*o + 5. Does 14 divide b(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + -2 + sqrt(700) + sqrt(42)\/sqrt(6)*1).\nAnswer: 2 + 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*u**4 - 6*u**4 + 10*u**4 - 2*u**4 - 2 + 2 + (u - 3*u + 0*u)*(-u**3 + 4*u**3 - u**3) - 6*u**4 + 4*u**4 + 4*u**4 - 12 + 3*u**4 + 12.\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 5:27 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6598131?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -17 (b) 0.244 (c) -65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 273039.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**2 - 2690810*y - 32289432 = 0. What is y?\nAnswer: -1345393, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8158, 8164, 8170?\n\"Answer: 6*p + 8152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 22*d**2 - 27*d - 96. Calculate w(-23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -31539 to the nearest one hundred.\nAnswer: -31500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -647*d + 1140 = 4426 + 6419 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + -1 + 12 + -8. Let d(v) = 4*v + 5. Let a(t) = 7*t + 11. Let p(o) = -3*a(o) + 5*d(o). Let c be p(-6). Sort u, c, 5 in decreasing order.\nAnswer: 5, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 1:04 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(288) + -4).\nAnswer: -48*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -5 (c) 1\/2 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 7*b**2 - 7*b + 6. Determine l(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llvvycaa. What is prob of sequence ly?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 4:01 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 92542362 to the nearest ten thousand.\nAnswer: 92540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 890857366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + z = 36. Suppose 48*r - z = 45*r. Which is the nearest to 0? (a) r (b) -3\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 2382?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 1737051 - 12*l**2 + 16*l**2 - 70370 + 16*l**2 - 2582*l - 19*l**2 = 0.\nAnswer: 1291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27909208 and 2318.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from dpruuuryuu.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 644169 to the nearest integer?\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134745 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3\/2 - 6105294*p**2 + 854730135*p\/2 - 7478856525.\nAnswer: 3*(p - 4070126)*(p - 35)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}