diff --git "a/data/dm_maths/full_data_1/1050_11255.jsonl" "b/data/dm_maths/full_data_1/1050_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1050_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let u(t) = -t**4 + 2*t**3 + 2*t**2 + t. Let p(z) = -z**4 + 8*z**3 + 8*z**2 - 19*z + 851. Let i(b) = -p(b) + 4*u(b). Find the first derivative of i(h) wrt h.\nAnswer: -12*h**3 + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 7:41 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42291692, -42291691, -42291690?\nAnswer: -42291689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*g**5 - 122*g + 218*g - 119*g wrt g?\nAnswer: -420*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5\/6 - 5*m**4\/2 - 25*m**3\/2 - 145*m**2\/6 - 20*m - 6.\nAnswer: -(m + 1)**3*(m + 6)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 + 2.035282?\nAnswer: 70.035282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**4 - 5460*p**3 + 102132*p**2 + 220660*p + 113064 = 0. Calculate p.\nAnswer: -1, 21, 1346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 + (1 - -11) + 33 + -37?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -5 + 8 + -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(r**2 - 1 + 1)*(-79*r**2 - 6*r**2 + 40*r**2)*(-4 - r + 4).\nAnswer: 90*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2010 (base 3) to base 11.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -66*-0.09\nAnswer: 5.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1313 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32 - -8) + -2 + 20.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*a - 137*a = -24. Solve -4*k + a*c + 32 - 4 = 0, 2*c = 3*k - 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6773403*h**2*z**3 - 2*h**2*z**2 - 2*h**2 + 18955344*h wrt z.\nAnswer: 20320209*h**2*z**2 - 4*h**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 61984, 2, -0.113?\nAnswer: -0.113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 5*r - 49, 5*r - t - 2*t = 61. Suppose 5*p = -3*q + r, 2 - 21 = -4*p + q. Factor 32*j**3 + j**4 + 2*j - 17*j**3 - 2*j**2 - 17*j**3 + j**p.\nAnswer: 2*j*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50225149?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**3\/6 - 59*b**2\/4 + 414*b - 4319. Factor o(l).\nAnswer: (l - 36)*(l - 23)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 250 - 585. Let x = d - -339. Let b = 1 + -5. What is the third biggest value in b, 2\/3, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1811.44 + -1762. Let t = 0.44 - r. Let l = -49.000092 - t. What is l rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -246002 + -32?\nAnswer: -246034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54384 by 11.\nAnswer: -4944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 1. Let c = 8.59 + -8.39. Sort c, 3, n in increasing order.\nAnswer: n, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2762*b - 99390. Determine i(-36).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3650, -3, -408 in increasing order.\nAnswer: -3650, -408, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 + 0 = -6*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2971 + 3020 = 27*i - 2*w, 3*w + 30 = -3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 82 = 2*v, 164 = 2*m - 4*v - v. What are the prime factors of m?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 8\/6*-3. Suppose -12 = -n + 5*m + 3, 2*m = 5*n + 17. Let g = n - w. Calculate the greatest common divisor of g and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13466587330 + 26933174664 - 13466587334 - n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.77869 rounded to one dp?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5929.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -24226, -20618, -17000, -13366, -9710, -6026?\n\"Answer: v**3 - v**2 + 3604*v - 27830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95002.74 millennia to centuries.\nAnswer: 950027.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 616215, 616217, 616221, 616227, 616235, 616245?\nAnswer: 616257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1591204796?\nAnswer: 2, 53, 199, 37717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24487810 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 45730, 45749, 45768, 45787, 45806, 45825?\n\"Answer: 19*u + 45711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(2\/29)\/c)\/c)\/c**(-8\/3))\/((c*((c\/((c\/(c**(-1)*c))\/c*c))\/c)\/c*c*c*c)\/(c\/c**(-7))) assuming c is positive.\nAnswer: c**(586\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-3) + (-125)\/(-15). Suppose -369 = x*z - 0*z. Let w = z + 95. Calculate the greatest common divisor of 72 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110111101010 - -10101?\nAnswer: -110111010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 500820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.01 (b) -5 (c) -0.3 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -b + 577, b - 585 = -5*a + a. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(20\/(-12)) - -1. Let d be 1 - (n + -1) - (-3 - -1). Round d to 1 decimal place.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*((-20655)\/(-2142))\/((-10)\/(-126))\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3818 divided by -1499.\nAnswer: 3818\/1499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 8 = -4. Let x be 0 - -2 - k*85\/(-80). Which is the smallest value? (a) -1 (b) 4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.96 - 0.16. Let t = 0 + n. Let q = -14.7 - t. Round q to zero decimal places.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 1902.\nAnswer: 9510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 22*n + 7. Let s be l(-10). Let x = 1186 - s. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*(z**1\/z)\/z))**36)**6 assuming z is positive.\nAnswer: z**216","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (180\/10)\/2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -7*b + 22. Let d(g) = -15*g + 45. Let o(q) = -6*d(q) + 13*v(q). What are the prime factors of o(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27374268, 54748546, 82122824?\nAnswer: 109497102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.008 and -6383.\nAnswer: -6382.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016016161 rounded to 4 decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2289 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -3\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6552*j**2*p - 289916065*j**2 + 162*j*p - 2*p with respect to p.\nAnswer: 6552*j**2 + 162*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - n = -0*w + 1, -5*n = 4*w - 4. Suppose -114*f = -120*f - 30. Sort w, 4, -3, f.\nAnswer: f, -3, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 5. Solve -l + v = 7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2101221122011 (base 3) to base 2.\nAnswer: 100111000000111000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 - o - 2. Let d = -512 - -573. Suppose -d = -36*h + 11. What is l(h)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + l - 10. What is the tens digit of v(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**6\/120 + b**5\/60 - 2*b**3\/3 - 61*b**2. Calculate n(-3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 2*p**2 - p. Let t be o(1). Let x be t - (-76 - (-2 + 3)). Suppose -257*r = -260*r + 33. What is the highest common divisor of r and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 703 + -384. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (560\/5)\/4 + 2. Let h be ((-14)\/z)\/((-12)\/(-306)). Let r = h - -211\/10. What is the common denominator of -49\/9 and r?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 - 5*l**3 + 9 + l**2 - 9*l**2 + 3*l - 7*l - 7. Does 17 divide a(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/9, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8663 - -8638. Which is greater: t or -308\/13?\nAnswer: -308\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 11:46 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 6:09 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l + 10. Let h be d(8). Let c = h - 2. Suppose c = 3*s + z - 22, -3*z = -3*s - 0*z + 6. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243183661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51\/(14586\/208))\/(3\/33*38).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1373 + 1354 + p**2 + 167 - 3*p.\nAnswer: p**2 - 3*p + 2894","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -174.6497369 + -0.4?\nAnswer: -175.0497369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -521*y**2 + 4 - 142016*y**2 - 1 - 3.\nAnswer: -142537*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_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: Suppose -6*j + 1236 = -912. List the prime factors of j.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 393675832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.946 - -0.046. Let f = z + 0.9. Which is the nearest to -2\/9? (a) -0.3 (b) 0.2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 b, and 2 v when four letters picked without replacement from bvmyvy?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1)\/x)**0)**9*x*(x**(-2)\/x)\/x*x**(2\/7)*(x*x**(-3)*x)\/x**(2\/5) assuming x is positive.\nAnswer: x**(-144\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*x - 6. Is 3\/31 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**11\/g)**(-22)\/((((g*g**(-1\/4)*g)\/g*g*g)\/g)\/(g\/g**8)) assuming g is positive.\nAnswer: g**(-915\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 v, 1 j, and 1 q when four letters picked without replacement from pkqhpqvj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2\/7, 0.06, 1, -5 in decreasing order.\nAnswer: 7, 1, 2\/7, 0.06, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 72\/45 + 220\/550. Find u, given that -2\/9*u**4 - 10\/9*u - 2\/3*u**b + 10\/9*u**3 + 8\/9 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 7:57 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 7:41 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -x**5\/12 - 5*x**4\/24 + 5*x**3\/3 - x**2. Find t such that z(t) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 28 = -2*y + 2, -5*a + 17 = y. Is (2*1\/y)\/(58\/(-426039)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6216 and -6217 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 16 = -144. Calculate the greatest common divisor of g and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 31 - 2 - 2 - -2. Suppose 0 = -22*k + 21*k + 88. Let u be k + -3 + 0 + 2. Calculate the highest common divisor of v and u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 345 - 366. Sort -0.01, -6\/11, u in increasing order.\nAnswer: u, -6\/11, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, x: 7}. Give prob of sequence ox.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*h - 42 = 0, 5*d - 38 = 4*h - 143. Let w = 11 + d. Let c = 0.203 - 0.403. What is the fourth biggest value in c, 0.5, 0.4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -16*h + 4*h**2 - h**3 + 19*h + 0*h**2. Let v = 2 + 2. Is 12 a factor of a(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4602764538 to the nearest integer?\nAnswer: 67844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 + 84. Let q = r + -38. Suppose q*p - 5*p + 356 = 5*n, -10 = 2*n. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24220 to the power of 1\/2, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + -1 - 8 - -148. Let i = h + 38. Suppose 2*m = i + 70. Is m a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 12*f**2 - 28599*f. Let q(s) = 20*s. Calculate q(n(b)).\nAnswer: 240*b**2 - 571980*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03275933 at least as big as -0.24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -1\/30*c**5 + c**2 + 0*c**4 + 0 + 0*c**3 + 0*c. Let n(q) = -4*q. Give b(n(a)).\nAnswer: -32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 6:52 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3044*y - 1398*y - 564134 = 0 for y.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3293, -5675, -8057?\nAnswer: -10439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d. Let u(o) = 9*o. Let w be (8 + 0)\/(-2 - 0). Let b(q) = -5*q. Let t(m) = w*u(m) - 7*b(m). What is z(t(h))?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-36))\/((-3)\/(-9)). Let u be (-11 - 14529)\/(m\/100). Round u to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2529857?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 9*t - p = 119, -5*t + 95 = 5*p. What is the greatest common factor of 23 and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/6 + (-38)\/4. Let t = s - -24. Suppose 2*l - 164 = -4*q, 5*l + 8 = -12. What is the remainder when q is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 699*k = 231*k + 581*k + 262*k + 23625 for k.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14037988, 14037919, 14037850?\n\"Answer: -69*w + 14038057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 33444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 d when three letters picked without replacement from {d: 3, e: 3, p: 1, s: 2, a: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 15*s - 33. Let x = 1 + -1. What is the third smallest value in x, -0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2188.\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 5*k + 2. Let n be g(5). Suppose -c - 5 = -t - n*t, -4*t - 4 = -4*c. Suppose t*w - 124 = -w. Which is greater: 30 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -41, -66, -95, -128, -165, -206?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 5*l - 6. Calculate o(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -382 + 380. Let j be 5 + (2 + -3 - 1). Which is the biggest value? (a) h (b) j (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + y + 60 = 0, 2*y = -y - 12. Let d be (-4)\/w + (-195)\/21. Let h = d + 26. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 9*s**2 - 27*s - 54. Calculate h(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 6*p + 8 = 0. Let u(m) = 2020001*m - 1. Let r be u(p). What is r rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/16 of a day?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 401303627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 + 37. 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 k be 5 + -1 + (-4 - -6). Suppose -167 = -k*y + 121. Calculate the highest common divisor of y and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 42*w - 46*w, s = -5*w + 22 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-5)\/(-2))\/(-5))\/((-7)\/70).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*y + 5*b, -4*y + 4 + 17 = -5*b. Suppose y*d = 4*k + 7 + 1, -4*d - 4*k = 0. Solve 3*i - 29 = 5*h, -4*h - d - 3 = 4*i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*r - 150 = 22*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 4. Suppose 0 = 5*a + b - 18, -28 = -5*a + 7*b - 3*b. Solve 2*z - 2*u + 14 = 0, -i*z - 26 = z - a*u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4866014 is divided by 304120?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**4 + 3*j**4 - 7*j**4 + (-j + j - j)*(4*j**3 + 8*j**3 + 2*j**3).\nAnswer: -16*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1\/12))\/(y*y**29)*(y**6)**(2\/29) assuming y is positive.\nAnswer: y**(-9977\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 737*z**2 - z**3 + 13 - 370*z**2 - 10 - z - 372*z**2 to the form n*z**2 + o*z**3 + y*z + b and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 1:11 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 53657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 14*f**2 - 14*f + 18. Let c be m(-15). Suppose -u = 3, -x - 5*u - 11 = c*x. Let t be (-2 + 3)*(1 - -2). Which is smaller: t or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 6*u + 12. Let o be a(-7). Solve -c + o = 4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1081*w + 463*w**2 + 1076*w - 2157*w)*(w - 4*w + 2*w).\nAnswer: -463*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.442 + -0.973. Let g = c + 0.932. Let n = g + -0.400999759. What is n rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003279743 rounded to seven dps?\nAnswer: -0.0000328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -15, -36, -65, -102?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 6:54 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 153684 to the power of 1\/2, to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -319*f**2 - 1295. Let b(z) = -956*z**2 - 3891. Let m(g) = -4*b(g) + 11*r(g). Differentiate m(v) wrt v.\nAnswer: 630*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13699 less than 13697?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/135*10 + (-34)\/(-9). Solve t*n - 6*u = -4*u - 4, -4*n + 3*u - 2 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-1))\/2*0. Let m be (-6)\/(-10) + 8\/20. Let u be m - (v - -3) - -18. Solve 0 = -8*g + 3*g + 20, 2*f - u = -2*g for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12b (base 12) in base 4?\nAnswer: 2303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nk when two letters picked without replacement from {k: 3, p: 2, n: 7}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 599 divide 294626536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**4\/7 + 2066*i**3\/7 - 54930*i**2\/7 + 146142*i\/7 = 0 for i.\nAnswer: -1059, 0, 3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-26)\/(-2) - (-3 - 8520)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1788 and 0.1?\nAnswer: 1788.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 17*l - 49. What is the remainder when 70 is divided by t(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 20*o**3 + 3*o - 3. Let w be 15\/2 + (-2)\/(-4). Suppose -5*c - w - 12 = 0, -3*c = 5*f + 2. Is b(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.068 in 0, 79, 2, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8328, -15946, -23564, -31182, -38800?\nAnswer: -46418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.5? (a) 3\/5 (b) -0.3 (c) 2176.8 (d) 19\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 9. Let b be (-5)\/j*(6 + 2). Let x(t) = t + 9. Calculate x(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {a: 2, u: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 + 1. What is the tens digit of s(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**4 - 3*d**4 + 4*d**4)*(1 + 4 - 6 + (-35 + 9 - 13)*(2 - 9 - 7)*(-5 + 4 + 4)*(-1 - 2 + 5)).\nAnswer: -6550*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1300) - sqrt(1300)*-1))**2 - (-1*sqrt(1300) + 5).\nAnswer: 10*sqrt(13) + 5195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 i when four letters picked without replacement from {h: 1, i: 3, y: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 3 + 0)*(1 - 6 + 1) - 55 - 137 - 703 + 104)*(-o - 2*o + 4*o) to v + q*o and give q.\nAnswer: -799","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r - 6. Let b be f(-4). Suppose -j + 24 = b*j. Suppose 5*p = -2*m + 19, -m = -5*m + j. Solve 15 = p*h - 0*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j - 213206 = 1402544. What is the ten thousands digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34550771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75520 and 20.\nAnswer: 75520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.66 + -0.32. Let v = x + -0.24. What is the third biggest value in -2\/25, -2\/3, v?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4317920 to the nearest one hundred thousand.\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3909038977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jajlbvr. What is prob of sequence ar?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4a - 21?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -604131, -604098, -604061, -604020, -603975?\n\"Answer: 2*z**2 + 27*z - 604160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 811746, 1622009, 2432272?\nAnswer: 3242535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 731169234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 4*u + u)*(1 + u - 1 + (-4 + 6 - 3)*(-4*u + 4*u - 2*u) - u + 2*u - 2*u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 633 divide 170277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 10*s - 12*s, 2*w + 2*s = 8. Let a be -66*((-7)\/3 + 2). Suppose -3*j + a = -w*j. What is the remainder when 63 is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -6*b**6\/5 + 3*b**5 + 45*b**4\/4 + 5*b**3 - 9*b**2\/2 - 40*b + 3. Find v such that r(v) = 0.\nAnswer: -1, -1\/2, 1\/6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 7*p - 2. Let d = -9 - -11. Suppose d*n + n = 0. Suppose 5*m + 0*m + 30 = n. Determine f(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 79100 and 798490.\nAnswer: 902293700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6)**(-21\/4)*t\/(t\/t**(1\/14))*(t**(1\/11)*t)\/t assuming t is positive.\nAnswer: t**(-2413\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1240 - -1735. Which is bigger: b or -3\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -9*u**2. Let t(b) = 984*b - 5. Let g(f) = 4930*f - 26. Let m(w) = 5*g(w) - 26*t(w). Determine m(a(j)).\nAnswer: 8406*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -122, -159, -196, -233, -270?\n\"Answer: -37*h - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 3*c = 22, -3*c + 419 = -3*u + 413 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3265)\/3918 + (154\/12 - -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314 is divided by 155?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**5*z + 51073*l**2 - 2*l*z + 10*l + 1261*z wrt l.\nAnswer: 20*l**3*z + 102146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.86789 years to decades.\nAnswer: 2.786789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 573416643 to the power of 1\/4, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320)*-2 - (sqrt(10) + -1*sqrt(10))\/sqrt(2) - (sqrt(45) - sqrt(45)*-2*1).\nAnswer: -25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 6*g**3 + 41*g**2 - 11*g + 15. Let o(l) = -l**3 - 8*l**2 + 2*l - 3. Determine -2*j(y) - 11*o(y).\nAnswer: -y**3 + 6*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**5\/100 + 6*o**2. Suppose c(n) = 0. What is n?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48117725 divided by -143635?\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 78*c**2 + 250*c - 2687. Is z(91) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 94*w - 2103. Does 14 divide y(29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (4 + -1 + 7 + -14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 8 + v + 1)*(-2 + 3 + 2) - 4*v + 3*v - 7*v.\nAnswer: -5*v - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 26*-4074.12\nAnswer: -105927.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-302)\/58*64\/(-64) + (-14 - (-16 + 7)).\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 264\/1327 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(180))\/(sqrt(256)*-3).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 1 - 8) + 15 + (-8 - -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.378 or -426?\nAnswer: -0.378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(10) - -6*sqrt(70)\/sqrt(7))\/(sqrt(50)\/(-1*sqrt(10) - sqrt(10)) + sqrt(5)))**2*-1 + 3.\nAnswer: -391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -7*m**3 + 11*m**2 + 2*m - 2. Let s(b) = -13*b**3 + 21*b**2 + 4*b - 4. Let l be ((-3)\/(-6))\/((-3)\/(-36)). Let z(n) = l*s(n) - 11*v(n). Determine z(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54697, -54702, -54707?\nAnswer: -54712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 - -66 - (-2 + 6).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -300 + 326 + (1 - 16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*f + 2692 + 1705 + 653 = 0. Calculate the least common multiple of 240 and f.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 7*i - 65 = 0. Suppose 0 = -2*z - 0*r + 2*r + 50, -r = 0. Calculate the remainder when z is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8591 or -8592?\nAnswer: -8592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.01 (b) 4 (c) -32 (d) 1\/6 (e) -1\/2 (f) -29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4 = 2*w. Suppose 9*a - 10*a + 25 = 0. Suppose -18*z + 13*z = -a. Solve -5*k = -0*v - v - 20, 0 = w*v + z*k - 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 602 - 651.3. What is l rounded to the nearest integer?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -153 - -76. Let i = 87.1 + s. Let h = i - 11. Round h to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 2*r - 12200. Let c be j(0). Let h be (c\/(-12))\/2*1080. What is h rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 5*u - 140 = 0. What is the greatest common divisor of 7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 9:51 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -87178300 to the nearest one hundred thousand.\nAnswer: -87200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -13*s - 1. What is r(-2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(80))**2 + sqrt(5)) + sqrt(5) + sqrt(45) + -2.\nAnswer: -402 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -6*g**2 + 1\/36*g**6 - g**3 + 0*g + 0*g**5 + 0 + 1\/168*g**7 + 0*g**4. Let s(p) be the first derivative of v(p). Factor s(d).\nAnswer: 5*d**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 52, 91, 140, 199, 268?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 8:25 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22214 by -383.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 147542510 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 20, 23, 26, 29, 32?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0. Let t = 80 + -76. Solve x = 3*n - t + 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 24. Let v(r) = -r**2 - 2*r**3 - 5 - 11*r**2 - 8*r + 5*r**2. Is v(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**3 + 25120*h**2 - 75325*h + 50210 = 0. Calculate h.\nAnswer: 1, 2, 5021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w\/w**28*w))\/(w\/((w\/(w\/w**(2\/35)))\/w)))**21 assuming w is positive.\nAnswer: w**(2526\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23364 - 3*n - 23815 + 51*n**4 - 122*n**4 - 135*n**4 wrt n?\nAnswer: -824*n**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62101 + 62100.6200544. Let c = 0.38 + z. Round c to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -87 + 96.7. Round g to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21147\/27 + (-16)\/72. Let x = -195 + o. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + 35. Let i = g - 19. Suppose 0*j + i = j. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19066 by 50938.\nAnswer: -9533\/25469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5595\/4 - 1392. Let p = -7 + y. Let m = -2.9 - -3. Sort p, 1\/2, m in descending order.\nAnswer: 1\/2, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 98\/24 - 4\/(26 - 2) and -25\/1358.\nAnswer: 8148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47068927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-12)*-4*12\/210*-2.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 2*c**7\/105 - c**5\/15 - 20*c**2. Determine z so that q(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 6*h - 4. Let z be o(7). Suppose -2*j + z*j + 8 = 0. Let i = 15 + j. What is the greatest common factor of 1 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3, -8, -21, -36, -53?\n\"Answer: -u**2 - 8*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 0*m**3 - 48*m**5 - 27 + 0*m - 217\/2*m**2 + 0*m**4. Find the second derivative of p(a) wrt a.\nAnswer: -2880*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 7:17 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 75 * -33.5628.\nAnswer: -2517.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/12 - (-12 + 195\/13)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 7*o**3\/6 + 103*o**2 - 79*o. What is the hundreds digit of f(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (90\/(-21))\/(1\/(-7)). Let v = b + -43. What is the tens digit of (-394)\/(-26) + 2\/v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*i**3 - 3707 + 1235 + 1235 + 1237.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -13854*o + 110836. What is i(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10 - 203709\/20372)\/((-1)\/26). Let q = -41467\/18520 - w. Find the common denominator of q and (1\/(-12))\/((-11)\/(-207)).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 97710*g - 97699. Determine f(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (3 - (3 + 3)) + -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24572612 divided by -45674.\nAnswer: -538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -143*z + 537. Let s(n) = 3*n**2. Calculate s(u(y)).\nAnswer: 61347*y**2 - 460746*y + 865107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/7)\/(6*1\/3)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*a**2 + 75*a - 75*a + 1 to p + n*a**2 + k*a and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 11*b - 5. Determine c(-5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113958092?\nAnswer: 2, 89, 320107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 1. Let y(o) = 4*o**2 - 6. Suppose -4*t + 24 = -0. Determine t*g(n) + y(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-5))\/((4\/10)\/(270\/(-75))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10747.\nAnswer: 11, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 101\/129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2196)\/60*9510\/2853?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4)*4)\/((156\/(-65))\/12).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6)\/(c**0\/c))\/(c\/(c\/(c**(-1\/2)\/c))*c)**44 assuming c is positive.\nAnswer: c**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-14) - (-299)\/(-91)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 12:45 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/16 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 370 - 179. List the prime factors of m.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22193549*q**3 + 65434854 wrt q?\nAnswer: -66580647*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**3 + j + 2*j + 253*j**2 - 254*j**2. Let w(p) = p**2 - 10*p + 7. Let b be w(9). Let l(f) = -16*f**3 + 5*f**2 - 15*f. Determine b*l(q) - 11*m(q).\nAnswer: -q**3 + q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5013, 5071, 5169, 5307, 5485, 5703?\n\"Answer: 20*n**2 - 2*n + 4995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47639, 95278, 142915, 190550, 238183?\nAnswer: 285814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u**5 - 48*u**4 + 303*u**3\/5 + 192*u**2\/5 - 228*u\/5 + 48\/5 = 0. Calculate u.\nAnswer: -4, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 4*a - 4 = 0, 28*a = -4*o + 26*a + 20 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**4 + 5820*b**3 + 92690*b**2 + 237360*b + 150488 = 0 for b.\nAnswer: -2894, -13, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/74)\/(20\/((-5)\/1)). Are 0 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 13 - 4, -d - 4*c = 13. What is the hundreds digit of ((-3)\/2 - d)\/((-83)\/39674)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 753*f - 2093*f + 28140 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/((-30)\/12))\/(2\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4097, -8196, -12299, -16406, -20517, -24632, -28751?\n\"Answer: -2*h**2 - 4093*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1*1 - 2)\/(-1). Suppose 0 = -3*h + 13 - 4. Let q(s) = -3*s + h*s**2 + s**3 - 6*s**2 + 4 + s**2. What is q(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(144)*2 + sqrt(144)))\/sqrt(12)*4*6)\/((sqrt(3456) + sqrt(3456) + sqrt(3456)*2 + sqrt(432)\/(sqrt(24)\/sqrt(3)))*-1).\nAnswer: 24*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 - 100510888118*a + 100510888118*a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*r - 2*x, r = 42*x - 44*x + 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63061?\nAnswer: 19, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.81 + 0.09. Let m = i + -6.9. Let j = 6.4 + m. Which is the nearest to -0.1? (a) -1 (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 60374542?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(209) - sqrt(209)*-2)*5)\/(sqrt(99)\/(-6*(sqrt(9) + sqrt(81)))).\nAnswer: 2160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2178399075.\nAnswer: 3, 5, 29045321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -4*z**6\/105 + 2*z**5\/35 + 11*z**4\/42 - 2*z**3\/7 - 2*z - 5. Solve m(x) = 0.\nAnswer: -3\/2, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + 13)\/((-980)\/(-60) + (-4)\/3).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - b + 5 = 0, -3*s + 4*b + 151 = 133 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-126)\/(-24)*4\/6. Which is the closest to h? (a) 0 (b) -0.1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.7, 0, 0.2, -1, -4, -1\/208?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 7*j**2 + 7*j - 6. Let h be w(-8). Let p(z) = -z**3 + z**2 + 2*z - 3. What is p(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10951 + 2111. What are the prime factors of k?\nAnswer: 2, 3, 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w*(w*w**(-2\/13))\/w)\/w))**(5\/8) assuming w is positive.\nAnswer: w**(75\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 558234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 + 18127406*m\/3 + 2014156.\nAnswer: 2*(m + 3021234)*(3*m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 7:25 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -817, -811, -805, -799, -793, -787?\nAnswer: -781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*j + 104 = 0, -c + 5*j = -6*c + 220. Let s(q) = q**2 - 7*q - 6. Let p be s(7). Calculate the least common multiple of p\/(-21) + 456\/21 and c.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10 + 6 + 1026\/852 - 1\/(-1). Which is greater: l or -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = p + 15, p - 60 = k + 3*k. Let m be k\/(-5) - -2 - (-2)\/(-2). Solve -2*q + 1 = r - 1, -4*q = m*r - 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -7*m**6\/30 + m**5 - 88*m**3\/3 + 3*m + 1. Find the second derivative of k(y) wrt y.\nAnswer: -84*y**2 + 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 878*f**3 + f**2 + 134?\nAnswer: 2634*f**2 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(-27))\/z*z)\/z**(-23) assuming z is positive.\nAnswer: z**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d - 1. Let l(y) = y**3 + 6*y**2 - 8*y - 3. Let t be l(-7). Suppose 0 = t*p - 8*p - 4. Let z(k) = -4*k**3 + k**2 - 1. Let x be z(p). Give m(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -10*a + 5*a + 186 - 13*a + 32*a. Let z be l(-13). Solve -i - z*i + u = -10, 10 = 2*u for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvtg when four letters picked without replacement from {g: 3, z: 5, t: 2, v: 1, f: 1, s: 1}?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*j**3 - 3*j**2 + 3*j**2 + 30*j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 2*w + 9. Let n be s(-5). Let l = -3 - n. Suppose l*t - 7*t = -3148. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -2*g - 6, 19*g - 14*g + 15 = 5*l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22931, 45851, 68733, 91559, 114311?\nAnswer: 136971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -7. Suppose 0 = y + y - a. Suppose -3*j = -0 - y. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -14*n - 48. Let p be l(-4). Suppose -238*v = -222*v - 160. Solve 2 = p*b + v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and 63430?\nAnswer: 444010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - h**2. Let f(y) = -2*y**2 - 13. Calculate f(m) - 2*s(m).\nAnswer: -2*m**3 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2051439 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -1, 5736, -5, -9 in descending order.\nAnswer: 5736, 13, -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -31*t. Let v(i) be the second derivative of 0*i**2 + 2 + 1\/3*i**3 - 17*i. Give v(a(h)).\nAnswer: -62*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51381283 - 51381255.300111. Let k = o + -27.7. Round k to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54811749 to the power of 1\/2, to the nearest integer?\nAnswer: 7403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 4*t, -2*n = 7*t - 4*t for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1888 and 527776.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccnccnucfnfcnncca. What is prob of picking 1 f and 1 c?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3116*n**2 - 1728*n**2 - 1390*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m. Let w(q) be the second derivative of 17*q**4\/12 + 7*q. Give x(w(g)).\nAnswer: 17*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 76\/120 + 2\/(-4). Let k = -2 + 0. Sort -0.2, t, k in ascending order.\nAnswer: k, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-4)\/(-1))*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 291 - 289. Let c(g) = 146 - 11*g**3 + 145 - g**y - g - 290. Let f = 3 + -2. Calculate c(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -11 - 1152\/(9 + -18) and 6.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, q: 1, c: 2, w: 2, u: 1}. Give prob of sequence ucwq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 35. Let d(h) be the first derivative of h**3\/3 + 9*h**2 - 22*h + 371. Is d(v) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -0.3. Let a = z + -0.1. Sort a, 0.2, -1 in increasing order.\nAnswer: -1, a, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12541526 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 940395?\nAnswer: 3, 5, 71, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -44523000 to the nearest 100000.\nAnswer: -44500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 245827 - 0.4?\nAnswer: 245826.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/5 of a century?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3406987 and 109140.\nAnswer: 1819","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, -2, 2, -12 in ascending order.\nAnswer: -54, -12, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -22) + -41 + (-8 + 4 - -4).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/8 - 7\/14. List the prime factors of d\/4 + 39701\/74.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d. Let n(y) = -116877*y. Calculate p(n(k)).\nAnswer: 116877*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5246015129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 - 41279404*k**2 + 82558820*k - 41279412.\nAnswer: -4*(k - 1)**2*(k + 10319853)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2110 - 10?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 2:13 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1092032447?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-2 - -15)) + (-2575 - -2497)\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/6256 and -47\/12213.\nAnswer: 3321936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9503 - 9503.466. What is r rounded to two decimal places?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/4 + 133079*y\/4 + 10859223\/2.\nAnswer: -(y - 133242)*(y + 163)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 45400024 <= 45400024?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 - 231*w + 3438. Calculate m(98).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z. Let y(m) = m. Let f(a) = -4*t(a) - 9*y(a). Suppose -19 + 3 = -4*p. Let s(k) = k. What is p*f(c) - 11*s(c)?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 2 - 12. Let f(b) be the first derivative of -1 + b**w - 1\/3*b**3 + 0*b. Find the second derivative of f(g) wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*w**3 - 20*w**3 - 36*w**3 + 46*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*l**5 + 11 - 11 + (0 + 0 - 2*l)*(l**4 + 3*l**4 - 5*l**4).\nAnswer: 8*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + j**2 + 3*j - 2. Let l(r) = 2*r**3 - 2*r**2 - 7*r + 5. Determine -4*l(c) - 9*x(c).\nAnswer: c**3 - c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-1 + 5 - (7 - (-4 + 1)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 57165306?\nAnswer: 57165306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -276 or -3\/125?\nAnswer: -276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 5. Let x = 12 + -7. Let v = 0 - -0.2. Sort s, v, x.\nAnswer: s, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -151227*i - 1058523. Calculate w(-7).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288) + -2*sqrt(288))*-6 + sqrt(288) + sqrt(288))\/sqrt(8))\/(sqrt(108) - (sqrt(108)*-1 + sqrt(108))*-3).\nAnswer: 8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 123830 take away -148.322687?\nAnswer: 123978.322687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 0, 20.\nAnswer: 0, 19, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/15 + 233624*g\/5.\nAnswer: -2*g*(g - 350436)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = q + 4. Let h be ((-6)\/2)\/(q\/(-190)). Suppose 3*c + x = 43, 2*c = x - 4*x + h. Solve -1 = -3*r - c for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 55*o + 52*o = -13374, o = 4*v - 17827. List the prime factors of v.\nAnswer: 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 5308 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27020678?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 + 1552*t - 150544.\nAnswer: -4*(t - 194)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 551592427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 59*o**2 + 166*o - 2. Give f(-1).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -16 + (0 + 1 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 3 (b) -17 (c) 4 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2923 + 2923. Solve 3*t + 3*p = 27, -2*t - 3*p + 2 + 20 = x for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 1\/2*p**4 + 0*p**5 - 1 - 65*p**2 + 1\/60*p**6 - 19*p**3 + 0*p. What is the derivative of w(q) wrt q?\nAnswer: 6*q**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3628 and -27874.\nAnswer: -31502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*z - 2 + 44*z + 2.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 21\/4 + -3\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35869 + 35855. Let s = 10 + -28. Do c and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-3))\/(3\/(-18)). Let t be ((-9)\/(-6))\/(n\/52). Let l = 50 + t. What is the remainder when l is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 4*h - 3*h)*((0*h**2 + 4*h**2 - h**2)*(h - 2 + 2) - 2*h**3 + h**3 - 27*h**3) - 1 + h**4 + 1.\nAnswer: -49*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/9 and ((-12540)\/(-2592))\/11 + 0.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**2 - 14*u + 20 = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**4\/11 - 10*t**2\/11 + 8\/11 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 21*x**3 + 85*x**2 - 5*x - 7. Calculate o(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**5\/70 - 19*p**4\/42 - p**3\/21 + 19*p**2\/7 + 389*p. Factor k(o).\nAnswer: 2*(o - 19)*(o - 1)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68608, 137217, 205826?\nAnswer: 274435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.6583 rounded to zero decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, y: 8, a: 5}. What is prob of sequence yn?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 24 = -4*j, -2*d + 0*j - 5 = -3*j. Let n = d + 6. What is the units digit of n + (-3)\/(-1) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**5 - 75*r**4 - 18*r**3 + 426*r**2 + 591*r + 225 = 0.\nAnswer: -1, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2748309+0.2\nAnswer: -2748308.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15924554.\nAnswer: 2, 7962277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 17 = -193. Let v = -105 + t. Put 2, -2, v, 15 in descending order.\nAnswer: 15, 2, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-240)\/(-44))\/5)\/3?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 63 = -2*o, -90 = -3*o - o + 2*n. What is the common denominator of (-1874)\/(-168) + o\/56 and -83\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o - 4 - 1 + 1. Determine g(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14*6\/63)\/(4\/36). Put -11, 0.1, o in decreasing order.\nAnswer: o, 0.1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21862, 43496, 65130?\nAnswer: 86764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 966863, 1934834, 2902803, 3870770?\n\"Answer: -f**2 + 967974*f - 1110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23370 and 6878190?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309 is divided by 85?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**5\/20 + 29*d**4\/12 + 19*d**3\/6 - 4*d - 1. Let s be j(-28). Suppose 0 = 13*u - 7*u - s. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 22 = -3*f - 4, 0 = m - 3*f - 6 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/2883 and 37\/249054.\nAnswer: 7720674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 9:06 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 4*n**2 + n - 1. Let r(p) = -p**3 + 8*p**2 - 5*p - 6. Let f be r(7). Let k be 51\/(-12) + (-6)\/f. What are the prime factors of c(k)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -26*c**2 - c + 7. Let m(b) = 13*b**2 - 4. Calculate -7*m(r) - 4*o(r).\nAnswer: 13*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3308, 7057, 11232, 15833, 20860, 26313, 32192?\n\"Answer: 213*p**2 + 3110*p - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 12*d**2 + d - 9. Let r be i(12). Suppose 0 = -7*z + r*z - 16. Let j(a) = 2*a**2 - 3*a - 8. What are the prime factors of j(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5780 and 5780?\nAnswer: 5780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5287?\nAnswer: 17, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*(((sqrt(75) + -2)*-3 - (-5 + sqrt(75) + 2*sqrt(75))) + 1)*4*6)**2.\nAnswer: -6635520*sqrt(3) + 26210300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 134240 or 134447?\nAnswer: 134447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(272))*-6 + ((sqrt(272) - (sqrt(272) - (sqrt(272) + 1 + sqrt(272))))*-6 - sqrt(272)))**2 + -3 + 2.\nAnswer: 912*sqrt(17) + 98227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -4)*(-1 + 33\/(-22)). Solve 2*x - p = 4*o, o + 6 = 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)*2 + -1 + 3 + -4 + -5*3*sqrt(17) + -4)**2.\nAnswer: 36*sqrt(17) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 11:19 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130351 (base 6) to base 8.\nAnswer: 27033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c. Suppose 2*o = 3*o + 5*y - 22, 3*y = 3*o + 6. Let r(h) = -2*h - 4*h + o*h + h. What is r(f(s))?\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -1 + 7*d + d**2 + d - 11*d. Let m be b(-1). What is the second smallest value in m, -5, 1\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 264859 - 264859 + 310*o**2 to t*o + i*o**2 + w and give i.\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.55 and 5?\nAnswer: -2.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28*p**4 + p**3 + 79670*p**2 + 99998257.\nAnswer: 112*p**3 + 3*p**2 + 159340*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6426)\/24)\/(-7) + 1\/(-4). Let d = 48 - r. Let z(u) = u**3 + 6*u**2 - 6*u - 9. Calculate the remainder when z(-6) is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k = 67*k - 636 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, f: 2, s: 11, r: 2, n: 1, k: 1}. Give prob of sequence rss.\nAnswer: 110\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1233 is divided by 38?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102)\/216 + 17\/(-1836)*9.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a decade in years?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 25158078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253546 divided by -102.\nAnswer: -126773\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 - 6)\/((-3)\/581)?\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8074186 is divided by 20545?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 11 + 16 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -191, -960, -2263, -4118, -6543, -9556, -13175, -17418?\n\"Answer: -3*y**3 - 249*y**2 - y + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 828 + 7313. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93059642 divided by -11602\nAnswer: 8021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*((2 - 4) + 1). What is the nearest to 1\/3 in l, -4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 316591339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, j: 4}. What is prob of picking 4 j?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -374, -742, -1108, -1472, -1834, -2194, -2552?\n\"Answer: k**2 - 371*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 + 47 - 47 + (-2*l + 6*l - 2*l)*(-2*l + 3*l + l + (2*l - 3*l + 3*l)*(2 - 2 + 2)) in the form z + n*l + d*l**2 and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from lplwppp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 2, -23, 5\/6, -37.5?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1563051079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**6\/90 - g**5\/30 + g**3\/9 - g**2\/6 - 26*g - 15. Let v(t) be the first derivative of h(t). Factor v(s).\nAnswer: (s - 1)**3*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 640491 to the power of 1\/2, to the nearest integer?\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((5\/1 + -4)*-3)\/(-1). Solve -3 = s*l + 12 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 9 = 18. Suppose -w = -4*w - j. List the prime factors of -15*(-1 + w + 3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -1 - 6 - (71 + -76)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2039999?\nAnswer: 13, 12071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = -2*z - 24. Suppose 0 = -5*j - 4*g - 4 + 18, 0 = -z*g + 3. Suppose -4*n + 1386 = 2*l, 0 = -2*l + j*n + 1999 - 637. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*m - 4)*(0 + 15 - 10).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.36, -1, 6, 3, 7\/4.\nAnswer: -2.36, -1, 7\/4, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2525503913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, s: 12}. Give prob of picking 2 s.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 291657313769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003669 rounded to four decimal places?\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*k + 0*k + 2*k)*(0*k + 0*k - k + (2 - 3 + 12)*(2*k + 3*k - 2*k)) as g*k**2 + n + t*k and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 212\/(-265)*(-10)\/16?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2, 0.16, -5, 110 in descending order.\nAnswer: 110, 0.16, -0.2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 819 is divided by 223.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {d: 4, x: 7}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-12 - -6 - (0 - -6 - 6))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b. Let x(o) = -1067*o**2. Give x(g(c)).\nAnswer: -26675*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31.9? (a) 3\/4 (b) 2 (c) 0.3 (d) 0.511298\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 243951007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 2*i - 25, -5*l - 32*i + 25 = -37*i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.3 - -12.18. Let z = -0.12 - d. Which is the nearest to -2\/3? (a) 1\/6 (b) z (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - -3. Let a = i + -23. Let g(w) = w + 15. Let m be g(a). Solve 0 = m*v - 7 - 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f = -18*f + 288. Calculate the remainder when f is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7033136 divided by -39961\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5\/3)*b)\/b*b*b*b**(-25)*b assuming b is positive.\nAnswer: b**(-71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -116 - -168. Calculate the remainder when z is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -161 + 245. Is 21 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, d: 2, c: 1, u: 1, p: 1, n: 1}. What is prob of sequence qc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c**2 - 53*c**2 + 890*c - 1 + 5*c**2 + 49*c**2 as a*c**2 + x + d*c and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2723, 2732, 2745, 2762, 2783, 2808?\nAnswer: 2837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66999?\nAnswer: 3, 23, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**3 + 25*x**2 - 17*x - 20. Let o be l(7). What is the biggest value in o, 4\/7, -2\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fcrcfccccrcrccfrf. What is prob of sequence cff?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 125 + -627\/5. Let d = -0.12 - -0.12. Sort d, -1\/2, r in increasing order.\nAnswer: -1\/2, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 157, 226, 175, -134, -839, -2078?\n\"Answer: -23*s**3 + 78*s**2 - 4*s + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 271917504 divided by 5112\nAnswer: 53192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + g - 5*z = 2, g = -4*z + 27. Let m be (-4)\/22 + 24\/g. Solve -m*a - 3*d = 1 + 3, 4*a + 3*d = -8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a week in minutes?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15623*g*t**3 + 6*g*t**2 + 57*g*t + 15*t**6 - 313*t**2 - 2 wrt t.\nAnswer: -93738*g + 1800*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-10)*(-25)\/(-10). Let d(g) be the first derivative of -2\/3*g**b + 0*g + 1 + 0*g**2. Let f(h) = -h. Determine f(d(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 271 - 277. Let j be i\/(-18)*-3 - (-10)\/14. Which is the closest to 2? (a) j (b) 12 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 187 and 9953075.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2337)\/((-1)\/(2\/21)). Let c = 223 - d. What is the biggest value in -2, -0.5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -544*b + 1584*b + 5093*b.\nAnswer: 6133*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 1)*(16 - 6 + 30)*(-p**4 - 4*p**4 + 3*p**4) to the form o*p**2 + c*p**4 + h*p**3 + l + i*p and give c.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*x - 12 + 12 to the form c*x + s and give c.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 670\/20 + 1 + 2\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7923 * 0.1.\nAnswer: -792.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -5*j - 17, -43 = 3*l - j + 24. Round l to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**4 + 27*y**3 - 17*y**2 + 1514*y wrt y?\nAnswer: 24*y**2 + 162*y - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86*n**2 + 7736 - 7784 - 3*n + 4*n + 0*n wrt n.\nAnswer: 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12665, -25306, -37947?\nAnswer: -50588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1164259 + -4?\nAnswer: -1164263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((2454\/(-4))\/(-3))\/(-1)*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -36*g**3 + 36120*g**2 - 48112*g + 16032 = 0?\nAnswer: 2\/3, 1002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12449 - 12447.9. Let v = -0.3 + 0.5. Let a = 22 - 21.5. What is the third smallest value in -0.2, v, a, z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6106 and 172?\nAnswer: 12212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 723 = 3*k + 207. Let f = k + -76. What is the remainder when f is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + h**5 - 2*h + 2*h**3)*(-49 + 112 + 45).\nAnswer: 108*h**5 + 216*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 189 and 7949508?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -79285\nAnswer: -4\/79285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04 - 0.26. Which is the second biggest value? (a) 1 (b) -0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 p when two letters picked without replacement from {s: 4, b: 3, r: 3, p: 6, c: 1, h: 1}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m - 2*m + 501 - 500)*(-m**2 - m**2 + 4*m**2) as h*m**3 + i + f*m**2 + c*m and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2404?\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 - 291628*k + 10630861298.\nAnswer: 2*(k - 72907)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13768 is divided by 293.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*h - 294 - 132 = 367*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b**3 + 20*b**3 - b**3 - 4*b**3 - 4*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**0*j)**1*(j**(1\/7)\/j)\/((j\/(j*j**4*j))\/j*j))\/(j**(2\/7)*j**(-1\/10)*(j*j**(2\/5)\/j*j*j)\/(j\/(j*j**(1\/4)*j))) assuming j is positive.\nAnswer: j**(323\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-192)\/144 - (-10012)\/3.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1929*d**3 - 23*d**4 - 1929*d**3 + (-3*d + d + d)*(3*d**3 - 2 + 2) in the form k*d**4 + v*d**3 + q*d**2 + m*d + s and give k.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**5 + 4*g**5 - 2*g**5 + (-3 + 3*g**3 + 3)*(-20 + g**2 + 20).\nAnswer: g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12090205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6236369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 2:27 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 1)*(-2*x**2 - x**3 + 2*x**2) - 6*x**3 - 6*x**3 + 35*x**3 - x + x + x**3 + (x**3 + 4*x**3 - 3*x**3)*(3 - 4 + 0).\nAnswer: 18*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2109883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-244)\/(-816) + 2\/17 and 73\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 10*a = 7*a + 1, 0 = 4*x + a - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**4 + g**4 - 2*g**4)*((-1 - 3 + 1)*(-4*g - 2*g - 2*g) - 3 + 3 + 4*g).\nAnswer: 28*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in 1, 3\/8, -84, -29?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 9 - 11*d**2 - 5*d**2 as y*d**2 + n*d + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 11:09 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3966409 and 2.\nAnswer: 7932818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -22. Let m = g + 25. Let l = -6.99985 + m. What is l rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*h**4 - 1 + 2*h**4 - h**4 - 3*h**4 + (-33 - 35*h + 33)*(-h**3 + h**2 - h**2) + (3*h - h + 0*h)*(3*h**3 - 3*h**3 + 2*h**3).\nAnswer: 39*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1538 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9937 + -9778. What is the highest common factor of l and 901?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13538377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1250.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - r + 5 - 30 = 0, -3*p - 4*r = 32 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 898*o**2 - 2030*o**2 + 932*o**2.\nAnswer: -200*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*f - 77*f = -186. Let z = f - -96. Let h be 1\/(4\/48*z). Sort 1, 16, -1, h.\nAnswer: -1, 1, h, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/54 of a week?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 770010 = -2*r, 8*o + 3850026 = 3*o + 4*r. Let x be (-3)\/(-21) + o\/14. What is x rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -355 < 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30*d*o**3*w + 226334*d*o**3 + 5*d*o**2 + 410978*o**3*w + 4*o**3 wrt w?\nAnswer: -30*d*o**3 + 410978*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -10*j**2. Let l(c) = -11*c + 8. Let h(o) = 4*o - 8. Let t(i) = -i - 1. Let y(x) = -h(x) + 3*t(x). Let w(a) = -5*l(a) + 8*y(a). Give w(k(n)).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -339790, -679150, -1018512, -1357876, -1697242, -2036610, -2375980?\nAnswer: -2715352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 252298443?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(-1)))\/b*b*b**(-13)\/b)**(-3\/19) assuming b is positive.\nAnswer: b**(45\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 - -33. Suppose -5*p + 5*m = -3755, f*m - 751 = -p + m. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 975986 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 - 133520000?\nAnswer: -133515543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwwwwwwwwwwxw. Give prob of sequence xw.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 7*v + 119 = 0, -q - 588790*v - 17 = -5*q - 588789*v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w. Let k = 1794 + -1097. Let q = k + -498. Let v(h) = 13*h - q + 199. What is v(g(s))?\nAnswer: 13*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 - 2 + 4)*(2 - 3 + 2) + (3 - 2 - 4)*(1 + 0 + 1))*(3*y**4 - 5*y**4 - 3*y**4) in the form u*y + o*y**3 + z*y**2 + q*y**4 + l and give q.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 0*z + 2 + 3*z. Let p be y(3). Solve 5*g = 3*g + p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.2 + 11183.\nAnswer: 11195.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 2*v**2 - 2. Suppose -4*h - 4*u = -2*h - 20, 0 = -h + u + 1. Suppose q - 3*q = -h. What are the prime factors of b(q)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**7\/210 + 89*f**6\/120 - f**5\/20 - 269*f**4\/24 - 89*f**3\/3 + 7*f**2 - 16. Let z(h) = 0. Calculate h.\nAnswer: -89, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29189889 to the power of 1\/2, to the nearest integer?\nAnswer: 5403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 5*j + 8 = -4*j, -4*j = 5*u - 35 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.049 + -5.049. Which is the third biggest value? (a) -2\/7 (b) -0.5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sc when two letters picked without replacement from {e: 1, s: 4, u: 2, c: 8}.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 142*s = 144*s - 14, 3*z - 4*s = -18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 911*x - 907*x. Suppose 0 = -p - 3, r + 5*p + 11 = 1. Suppose -x*j = -a + 226, a = -r*j + 84 + 182. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 3*b + 70. Let k = b + 10. List the prime factors of 70\/((-8)\/k) + 4.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11834582\/17 - -696582. Let k = -430 + v. Let r be (30\/(-315))\/(1\/3). What is the third smallest value in 0.5, r, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3137437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3656 and -0.63?\nAnswer: 3656.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 11*g + 4. Let p be n(1). Suppose 5*q - 15 = -0*q. Suppose 15 + p = -q*x. Do x and -10 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 37 = -k + 2*b, 3*b + 45 = k. Suppose k*t + 1160 = 43*t. Does 46 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21467372 a multiple of 996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 2*o - 4. Let d = -13 - -10. What is the smallest common multiple of m(d) and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from zsscchzshssszzh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -153.13 - -152. Let c = -0.73 - u. What is c rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.6 + -0.4. Let k = 256\/119 + -39\/17. What is the closest to 1\/3 in -1, u, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/219 in 0, 5, -0.08, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392*d - 14512 = -154*d - 5230 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10708 + 10716. Let i = -2 + 1.9. Which is the nearest to i? (a) -3\/7 (b) p (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 times 107.68\nAnswer: -1076.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64538*c**2*l**2*p**3 + 7*c**2*l**2*p - c**2*l - c*l**2*p**3 + 411*l*p + 2*p**2 wrt p.\nAnswer: 387228*c**2*l**2 - 6*c*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Suppose -3*k + 0*k = z. Solve 7*w - 4*w + 15 = k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-21)*(-8)\/12.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -99 - -53. Calculate the common denominator of -4 + 0 + f\/(-3) and -14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428 is divided by (-14 - -4)*(-1742)\/130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llm when three letters picked without replacement from pppllpppplllm?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = 10 - 101. What is the remainder when 25 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*w + 7968 = 5643 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 7*b**2 - 6*b. Let y = -52 - -60. Let c(j) be the third derivative of -j**5\/60 + 7*j**4\/24 + j**3\/3 + j**2. Let q be c(y). Determine r(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (13 + 0 + -12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 6*h**2 + 5*h - 6. Suppose 5*s + 116 = 81. What is m(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 8*w - 8. Let d be s(10). Let x(u) = d*u**2 - 6 - 2*u + 0*u - 11*u**2. Let g be x(5). Calculate the highest common factor of g and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359 = 40*l + 249 - 128 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - 11611?\nAnswer: -11622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11977*n + 42668 = -1310*n. Let k be (-2)\/7 - (-51)\/7. Suppose -4*r - 5*o + 39 = -4, -r - 5*o = -k. Solve -i = -n*j + 16, -4*i = -6*j + 3*j + r for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 8:41 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 44*n + 145. Let w be h(-3). Suppose 0 = 7*s - 4*s - 3*o - 3330, w*o - 3295 = -3*s. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2218 = 2*i, -4*i + 5*n = -0*i - 4466. Suppose p + 1010 - i = 0. What is the highest common factor of p and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/17310 and 131\/30?\nAnswer: 17310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010110101 (base 2) to base 5.\nAnswer: 10233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -4, 5, -9, 275, -1.\nAnswer: -14, -9, -4, -1, 5, 275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2822664*-0.2\nAnswer: -564532.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/749518 and -57\/112.\nAnswer: 5996144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 688*j**2. Let i(l) = 77*l**2 - 13*l + 130. Let r(s) = 37*s**2 - 6*s + 60. Let g(z) = -6*i(z) + 13*r(z). What is g(p(b))?\nAnswer: 8993536*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16290824*s**3*w - 63*s**2*w + 68*s**2 - s + 24*w + 1 wrt s?\nAnswer: 97744944*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 4:23 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(16)\/(sqrt(8) + sqrt(72))).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*p - 13*p + 18. Let y(d) = d + 6. Let u be y(p). Solve -10 = 2*c - u*c + r, -3*r = -5*c - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 22 = 3*u, 0*m - 2*u = -2*m + 12. Suppose 2*k + k = 0. What is the third derivative of -z**m + k*z**3 - 7*z**2 + 6*z**3 + z**2 wrt z?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20821?\nAnswer: 47, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55 + 65. What is the remainder when 57 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h + 7. Let c be v(-7). Let z be (1 - -2)\/(24\/272). Let r = -17 + z. Solve -2*w + d = 2*w - r, -5*w = d - c for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235344?\nAnswer: 2, 3, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/88 and -41\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j\/j**(3\/8))\/j*j))\/j*j*j*j**(-1\/8)\/j assuming j is positive.\nAnswer: j**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 9*c**2 - 10*c - 14. Let j be t(-8). Let s(x) = 58*x**j - 65*x**2 - x + x. Let y(v) = -3*v**2. Give y(s(f)).\nAnswer: -147*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 148 + -291. Let p = -56 - a. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus -47980534371394?\nAnswer: -47980534371389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) 0.06 (c) -3\/7 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 27, -4, 4, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 3:13 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -4*s + 4*m, -323*m + 66 = 3*s - 320*m for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26773504042 - 1.\nAnswer: 26773504041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 + 73. What is the remainder when y is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -51663470 to the nearest 10000.\nAnswer: -51660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -909760 divided by 160.\nAnswer: -5686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 0.18 (c) 40 (d) 6 (e) 3 (f) -0.3 (g) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2, 1, 8, 29, 70?\n\"Answer: n**3 - 2*n**2 - 2*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -214827 + 36?\nAnswer: -214791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.5 + -7.5. Let c = -0.6 - 3.416. Let u = c + 0.016. What is the biggest value in u, 2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 807.9246 nanometers to centimeters.\nAnswer: 0.00008079246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 45. Let u(t) = t**3 - 46*t**2 + 18*t - 824. Let r be u(46). Solve -r*b - 37 + x = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1393*z - 1411*z - 72 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4)*r**(-8)*(r*r**(-2))**(1\/23))**(-2\/9) assuming r is positive.\nAnswer: r**(554\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of g**4\/4 - 2*g**3 - 3*g**2\/2 + 9*g + 7850. Calculate q(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - 10*400308\/(-176). Let j = f - 22749. Find the common denominator of j and ((-4)\/(-32))\/(8\/(-194)).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 724873 is divided by 1394?\nAnswer: 1387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 30*p + 201. Let g(s) = 122*s + 802. Let m(l) = -9*b(l) + 2*g(l). Let n be m(-8). Suppose 2\/3*t + 2*t**2 + 2\/3*t**4 + 0 + 2*t**n = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 159 - -41. Let n = 306 - j. What are the prime factors of n?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 + a - 4. Let s be p(-3). Let z = -33 - -154. Calculate the highest common factor of z and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - 30 - -52) + (9 - (-4 - -10)) + -33.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 5*g**2 + 3*g + 4. Let n be l(3). Let y be 4\/(-18) - (-4)\/(-9). Let j = 13\/6 + y. Sort j, 5, n in ascending order.\nAnswer: n, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t**3 - 6*t**2 - 5*t - 6. Let x be m(3). Solve x = -3*c - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65013, 65064, 65127, 65196, 65265, 65328, 65379, 65412?\nAnswer: 65421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d + 1. Let j(f) = 17*f + 1. Let c(p) = -2*j(p) - 7*r(p). Calculate c(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -403506349*i**2 - 41222512 wrt i.\nAnswer: -807012698*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 - 3)*(2*v**2 + 0 + 0)*(3*v**2 - 2*v**2 + 0*v**2).\nAnswer: -14*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - c + 8. Let o be (-18)\/(-6) + 2\/c. Suppose u - 56 = -4*m + 2*u, -o*u = -2*m + 28. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lmlrllmml. What is prob of sequence rmm?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 515*r**3 - 2*r**2 - 2*r + 1. Is p(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 - 16)*(0 + 1 + 1)*((2 + 0 - 3)*(-1 - 2*n + 1) - 4*n + 6*n - 3*n - 4*n + 0*n + 2*n - 134 + 62*n + 134).\nAnswer: -2074*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 37*q**2 + 2*q + 1. Let y be v(-1). Let h(s) = y*s**2 + 28*s**2 - 16*s**2. Let j(z) = -4*z - 35*z**2 + 34*z**2 + 4*z. Calculate j(h(g)).\nAnswer: -2304*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d + 1. Suppose -4*r + 41 + 19 = 0. Suppose -12*l + 11 = -181. Let w = r - l. Determine u(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1900) + -5)**2 + (6*sqrt(38)\/(sqrt(2)*-3))**2.\nAnswer: -200*sqrt(19) + 7701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 922 - 4?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, d: 1, p: 2, x: 1, h: 1, e: 11}. What is prob of picking 2 d, 1 x, and 1 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -46470 + 86?\nAnswer: -46373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - 2*n**2 + 2*n**2)*(-6 - 2 + 1) + 4*n**2 + n**2 - 2*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 612614 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -30*c**2 - 1\/60*c**5 - 1\/24*c**4 + 1\/6*c**3 + 35\/3*c**6 + 0*c + 0. Is h(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2554 + -23?\nAnswer: -3021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a century in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**3 - 2891 + 2891.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**4\/4 + 13391*n**3\/4 - 39*n**2\/4 - 522319*n\/4 - 468685\/2 = 0.\nAnswer: -13391, -5, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/1705 and 49\/11789415?\nAnswer: 365471865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**3*t + 12*n**3 + 2*n**2*t - 2*n**2 + 7*t wrt n.\nAnswer: 12*t + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -12. Let h = u - 4. Let y = 96.2 + -96. Which is the closest to h? (a) -1 (b) y (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/5019 and 85\/189.\nAnswer: 45171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1536280067?\nAnswer: 7, 219468581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.513? (a) -5 (b) -1\/3 (c) 1\/5 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j**3 - j - 7. Let r be w(-3). Suppose 4*x - 214 = -2*n + 5*x, r = n + x. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (501\/1503)\/((-18)\/(-48))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a - 34 = -2*u, -a - 29040 + 29050 = -4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, r: 1, y: 1, p: 5, j: 4}. What is prob of picking 2 j?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 205, 201, 197, 193, 189, 185?\n\"Answer: -4*t + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1338 + 1341. Let w be (-1)\/4 - (-9)\/(-60). Which is the nearest to -1\/2? (a) 0.1 (b) w (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (5 - 3) - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*l**2\/7 - 877*l\/7 - 40\/7 = 0 for l.\nAnswer: -8\/177, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -1\/5 (c) 2\/3 (d) -3 (e) 0.02 (f) -1354\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**2. Let d(p) = 8*p**2 - 20*p - 20. Let g(w) = w**2 - w - 1. Let k(m) = -d(m) + 20*g(m). What is k(s(l))?\nAnswer: 108*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 60020106*l**2 + 36175053*l wrt l?\nAnswer: 120040212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 10*j**2 + 3*j + 3. Let n(i) = -3*i**2 - i - 1. Let v(h) = -13*n(h) - 4*z(h). Let t(k) = 4*k**2 - 7*k - 13. Calculate t(o) + 6*v(o).\nAnswer: -2*o**2 - o - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*j - 24*j**3 + 35*j**2 + 16*j - 124*j**3 - 34*j**2 to g*j**2 + l*j**3 + x*j + a and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.1 + 1.26. Let b = 2.74 + n. Let y = b - 3. Is y at most 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -110814? (a) -4\/9 (b) -0.07 (c) 0.3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-93)\/3)\/(3*3\/(-9)). Suppose -2*z = -c + 6*c, 0 = 3*c - 5*z - m. Solve 2*v = -c*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**8\/168 + n**5\/12 + 7*n**2. What is the third derivative of j(y) wrt y?\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4383, -4360, -4325, -4272, -4195, -4088?\n\"Answer: s**3 + 16*s - 4400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/15 + -4 - (-3 + -1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -237720\nAnswer: -118860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -118 - -126. Suppose -2*m = j + j + d, m = -5*j - 24. Let q(z) = -15*z**2 + 3. Let i(y) = y**2 - 1. Let o(l) = m*q(l) + 4*i(l). Calculate o(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s. Let t = -10 + 13. Let g(m) = -m + 5*m + t*m**2 - 4*m. Give g(c(u)).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 23965364\nAnswer: -1\/11982682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 0)*(0 + 1 + 1)*(0*t**5 + 0*t**5 + 3*t**5 + (-2*t**4 - 3*t**3 + 3*t**3)*(3*t - 4*t - t)).\nAnswer: -42*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13073 and 0.11.\nAnswer: -13072.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 2*o**2 - 3*o - 2. What is i(4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2741603?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 d, 1 z, and 1 k when four letters picked without replacement from nzdzzdzfnnkzy?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (-5 + 1*sqrt(11))) + 2*sqrt(11)*1 + -4 + (-6*(sqrt(11) + sqrt(88)\/sqrt(8)))**2.\nAnswer: 2*sqrt(11) + 1585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2080 = -1648*z + 1808*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 34, 73, 126, 193?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -404 (base 6) to base 9\nAnswer: -174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (888\/(-152625)*25)\/((-2)\/30)?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u**2 + 1277*u - 3*u**2 + 14*u**2 - 1277*u.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-28494)\/(-264) - 6\/33. Is k < 107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -344*r - 20860. Calculate v(-47).\nAnswer: -4692","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 537*p. Let f(r) = 980*r. What is f(g(c))?\nAnswer: 526260*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1*11 - 1)*(-675)\/180. Solve 5*c - 4*j = -29, 44*j + 1 = g*j for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7005\/137765)\/(1*3).\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - (-603)\/((-3)\/(-1)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(52\/48)\/((-19)\/((-1254)\/(-88))).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.22375 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1822 at most 58329\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1429518 or 1429316?\nAnswer: 1429518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -4*w**3 + 2*w**3 + w**3 + 3*w**2 - w**3 + 4. What is the second derivative of n(d) wrt d?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4977 + -4761. Calculate the highest common factor of j and 4968.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14027914 + 27569914. Round x to the nearest 100000.\nAnswer: 13500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 163*p**2 + 2*p + 1. Let n be g(-1). Let z = -157 + n. Let d(y) = -y - 1. What is the least common multiple of z and d(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -12. Let y = 653.9 + -656.9. Which is the biggest value? (a) y (b) r (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - g)*(2*g + 1 - 3 + 3).\nAnswer: -2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 1897 - 2*t - 1897. Let x(g) = -14*g. Give p(x(q)).\nAnswer: 28*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-3) + -30*(1 + 4 + 6). Which is greater: -3624\/11 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2332 = n, -12*n = -15*n - 4*j + 6986. List the prime factors of n.\nAnswer: 2, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -750, -1799, -3154, -4815, -6782?\nAnswer: -9055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 22 = 4*d + 9 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -1\/3, -6131, 2990, -0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 - ((-150164)\/154)\/(-31).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5126578.\nAnswer: 2, 83, 89, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -10*b + 6. What is the remainder when j(-3) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -5 - (-17)\/1. Suppose -3*i + m = -m - j, -i = m. Suppose 18 = w + 3*h, 8*h - 3*h = 25. Solve 4*o = f - i, -w*o - f - 6 = 2*f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -q, 3*v = -0*v - 2*q. Suppose v*t - 20 = -t. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -605\nAnswer: 3\/605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -30*3\/6 + -20 + 30. Suppose 0 = -5*s - 26 + 6. Let q be 0 + s + (-1 - -2). Put i, -1, q in decreasing order.\nAnswer: -1, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -85 or -2470\/29?\nAnswer: -2470\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -5*v**4 - 225*v**3 - 2500*v**2 = 0.\nAnswer: -25, -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*c**(5\/2))))\/c)**(-10)\/(c**(-27)\/(c\/c**(1\/23))) assuming c is positive.\nAnswer: c**(68\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 11 = 2*g - 3, -3*g = -5*t + 68. Suppose 2*s - t = 14. Suppose x + j - s = -2*x, -2*x = 5*j + 3. What is the remainder when 15 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 9. Suppose k*i - 2*i = g + 73, -38 = g + 5*i. Let j = 93 + g. Is 15 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/15 + (-39)\/(-45)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19\/75, -1\/8, -52, -4 in descending order.\nAnswer: -1\/8, -19\/75, -4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 15 = -3*z + 8*k, 0 = -z + 4*k - 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 5*a - 9*a + 4*a**3 + 3*a in the form h*a**3 + z*a + b*a**2 + y and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -39, 4, -1 in descending order.\nAnswer: 4, -1, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 38 (c) 1\/3 (d) 0 (e) -1\/2 (f) -117\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 193 + -194. Suppose 5*g - 155 = 5. Let f = 29 - g. Sort -5, f, 3, j in decreasing order.\nAnswer: 3, j, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 191662\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2959 (b) 0.049 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -14597971.3 to the nearest 100000.\nAnswer: -14600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.7751 rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of 3*w**7\/70 - 3*w**6\/40 + w**5\/20 - w**4\/72 - 4*w**2. Factor c(n).\nAnswer: n*(3*n - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-620)\/(-16))\/(355\/284).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**3 + 2*l**2 - 3*l - 3. Let g(s) be the third derivative of -s**6\/60 - s**5\/20 + s**4\/6 + s**3\/2 + 26*s**2. Calculate 2*g(q) + 3*t(q).\nAnswer: 2*q**3 - q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 45787 plus 0.2?\nAnswer: 45787.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 572*f - 450*f + 0 + f**2.\nAnswer: f**2 + 122*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)\/sqrt(4))\/sqrt(2)*6*-1*1)**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 163, 5 in descending order.\nAnswer: 163, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 935\/3 + -297. Let m be 2218\/9900 + (-2)\/9. Let o = -20891\/4950 - m. Find the common denominator of o and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-4) - (-27)\/(-2). Let k = -12 - r. Suppose -7 = -k*f - 1. Solve 0 = u + f for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105 times -36606\nAnswer: 3843630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 y when four letters picked without replacement from {y: 5, w: 7}?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/4 of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.2507 decades to centuries.\nAnswer: 6.82507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 11, o: 7, l: 1}. Give prob of sequence dl.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 8*z**2 + z + 8. Let s be m(-8). Let r(l) = -l**3 + 3 - l + l**2 - 1 + s*l - 2*l**2. What are the prime factors of r(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 z, and 1 c when three letters picked without replacement from {r: 5, w: 1, z: 1, c: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1630 + 1633. Let a(t) be the third derivative of 1\/240*t**6 + 0*t - 1\/24*t**4 + 0 - 11*t**2 + 1\/120*t**5 + 0*t**z. Factor a(h).\nAnswer: h*(h - 1)*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7786, -26407, -55862, -96151, -147274, -209231?\n\"Answer: -5417*c**2 - 2370*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -7*h**2 - 52*h + 33914. What is m(66)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, e: 11, f: 8}. Give prob of picking 3 f.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, v: 1}. Give prob of sequence vjj.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*(6*(2 + sqrt(1008)) - (sqrt(1008) + 0 + sqrt(1008) + 2 - sqrt(1008)))**2 + 3.\nAnswer: -50597 - 2400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 800002 = -l, 5*w + 67387 - 867382 = -l. Round l to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5456*w - 7840 = 5443*w - 11144*w for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 5*c**2 - 6*c - 2. Let g(k) = -k**3 + 6*k**2 + 6*k - 2. Let x be g(7). Let o = 5 + x. Is 6 a factor of j(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q**2 + 23*q - 10. Let w be p(5). Let z = -0.8 + 1. Which is the second smallest value? (a) 1 (b) z (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 + -39. Let q = 32 - y. List the prime factors of q.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 334.4622 grams?\nAnswer: 334462200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxmmxb. Give prob of sequence xxb.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 27 = 3*t, 2*a = -4*t - 0*a + 66. Let o(n) = -n**3 + 15*n**2 - 13*n - 6. What is the lowest common multiple of 3 and o(t)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ahzbj. Give prob of picking 1 z, 1 h, and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 11. Let n be c(11). Let k(s) = -s**3 - s**2 - 2*s + 90. What is the tens digit of k(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -177\/30211 or 1?\nAnswer: -177\/30211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1939881633 to the nearest integer?\nAnswer: 44044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -443555\/34 - -13043. Find the common denominator of d and 95\/16.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 221a (base 15) to base 5\nAnswer: 212400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -88\/9, -0.04, 0.14?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 4.5. Let m = -1 + 6. Suppose -m*h + 9 = -3*w - 4*h, 2*w - 8 = -4*h. Sort y, w, -4 in increasing order.\nAnswer: -4, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -115 - -127. Calculate the remainder when 29 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzqzqzzbzzqqzqzz. What is prob of picking 2 b and 1 q?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -325704?\nAnswer: -32570.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g - 1. Let p(k) = 10*k - 9. Let o(x) = -2*p(x) + 18*w(x). Let q(z) = z + 10. Let r be q(9). Let a(n) = r*n - 10*n + 0*n - 10*n. Calculate o(a(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k - 1. Let n(r) = 2*r - 8. Let g = -8 + 9. Let i(a) = g*b(a) + n(a). Give i(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496261778 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.40629 minutes in nanoseconds?\nAnswer: 3864377400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 16751 times 10\nAnswer: 167510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 1274 in descending order.\nAnswer: 1274, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -14. Let o = -11.00136 + s. What is o rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of b**7\/7 - 1277*b**5\/5 - b**3\/3 + 1947*b + 2936. Find the third derivative of l(x) wrt x.\nAnswer: 120*x**3 - 30648*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*h**3 + 18*h**2 - 20*h - 3 wrt h.\nAnswer: -48*h + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 83, -1790, -4913, -9286?\n\"Answer: -625*q**2 + 2*q + 706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -426381 and 909124.\nAnswer: 482743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 417*a**3*s**2 + 22*a**3 - 2*a**2*s - 202*a**2 - 41*a*s - 2 with respect to s.\nAnswer: 834*a**3*s - 2*a**2 - 41*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - sqrt(68)*-4*-1)\/(sqrt(36)\/(sqrt(54)\/sqrt(6) + sqrt(9))))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47598? (a) 3\/7 (b) -6 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m. Let k(t) be the third derivative of -53*t**5\/30 + 503*t**2. Calculate w(k(i)).\nAnswer: 212*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*z + 39*z + 14*z + 4*z**2.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 13)\/(6 - 4). Suppose 0 = -3*a - f + 12. What is the third derivative of 3*p**3 - p**2 - p**3 + 0*p**a wrt p?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a0 - -2912d?\nAnswer: 2906d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**8)\/f**(-5)*f**5\/(f**6*f) assuming f is positive.\nAnswer: f**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106\/(-6) - -2 - 5256\/(-1971).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**5\/4 - 19107*d**4\/4 - 561672*d**3 - 16361655*d**2 = 0 for d.\nAnswer: -58, 0, 6485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 1712292 = -768052. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/((-48)\/164256*-59).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -28*r**3 - 2886*r**2 - 82*r + 12770. What is f(-103)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2350 less than or equal to -122163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 3:43 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3864974 is divided by 3864966?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -514520125 (base 6) to base 3.\nAnswer: -121202110221222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -652 - -652.0000000244. Round y to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*sqrt(81)\/sqrt(3))\/((-2*sqrt(54))\/sqrt(6) - -2*-2*sqrt(9)).\nAnswer: -5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4811.69 and -0.1.\nAnswer: 481.169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 3*f + 15, -4*w + 2*w - 4*f = -18. Suppose -w*h + 1 + 17 = 0. Let s(p) = 2*p - 6. Let o be s(4). Solve -4*x = z - x - h, -x = 5*z - o for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**5\/24 + p**4\/12 - 4*p**3\/3 - 10. Let j(v) be the third derivative of i(v). Let c be j(-6). Round c to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 112200100002122?\nAnswer: 112200100002200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/13728 and -65\/192.\nAnswer: 27456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18719887859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**5 + 6*h**4 - 6*h**2 - 3*h = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 38485180978728 less than 12?\nAnswer: -38485180978716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 8. Let q be (-3)\/12 + 81\/4. Suppose -q*m = -19*m - 8. Let p be b(m). Do p and 2\/13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.400763508 to two decimal places.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -705 + 728. Let r = 81 + -14. Calculate the remainder when r is divided by t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -51.1, -2.3, -0.5 in decreasing order.\nAnswer: -0.5, -2.3, -51.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/90*3*(-3 + 2). Determine s so that r*s - 1\/4 - 1\/4*s**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 875, 4, -2382 in decreasing order.\nAnswer: 875, 4, -2382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -463, -940, -1417, -1894, -2371?\n\"Answer: -477*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 212121210?\nAnswer: 212121211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 28*d**2. Let q(w) = 4*w**2 + 6*w + 6. Let g(b) = b**2 + b + 1. Let h(s) = -6*g(s) + q(s). Determine h(u(f)).\nAnswer: -1568*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjqj when four letters picked without replacement from {j: 6, q: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(1953\/(-62)))\/(16\/6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 38*f**2 - 15*f + 8187. What are the prime factors of c(0)?\nAnswer: 3, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/293976 and -127\/12?\nAnswer: 293976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 17*k - 5*a = -43340, 4*k - 17330 = a. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of h**3\/3 - 7*h**2\/2 - h. Let u(c) = -c**3 + 9*c**2 - 11. Let s be u(9). Let g(a) = a - 4. What is s*g(t) + 6*m(t)?\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, -5, -20, -3, 0 in ascending order.\nAnswer: -42, -20, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 4*r - 3*c, 7 = r - c + 19. Let a be (2 - (-18)\/(-8)) + r\/(-32). Solve a*b = -4*b - 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -0.3 (b) 3 (c) 18 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -716419522 divided by 78953?\nAnswer: -9074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4.4725*-0.2\nAnswer: -0.8945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -27, -44, -67, -96, -131?\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 2*t + 20 = 18, -5*u + t + 23 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140739 and 1078999?\nAnswer: 3236997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 20*r**2 + 23*r + 30. Let p be a(21). Is (-2322)\/p*(-4)\/3 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4*((sqrt(171) - 1*sqrt(171)) + sqrt(171)))**2 + -2 + sqrt(19) + sqrt(19) + -5*sqrt(57)\/sqrt(3) + -1.\nAnswer: -123*sqrt(19) + 2758","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316172 a multiple of 649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 + -119\/2. Determine u so that 1\/2 + j*u**4 - 2*u**3 + 3*u**2 - 2*u = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 1077 = 573. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272 = -l - 3*l. Suppose -x + l + 12 = 0. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 9) to base 5\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 1)*(13 - 20 + 18)*(-5*d**2 + 5*d**2 + 5*d**5 + (1 - 2 + 0)*(2*d**5 + d**5 - 4*d**5)).\nAnswer: -132*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121598, 123682, 127154, 132014?\nAnswer: 138262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (-7 + -1 - -5). Which is the second biggest value? (a) g (b) 2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3761\/24350 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-10)*(-44 + -20). What is the second smallest value in l, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (-1408)\/99 - 10\/(-18)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-3)\/(-20)) - (81\/(3645\/180) + 2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 101416 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12 - -14) + (-32)\/(-2). Let c be w\/3 - ((-3)\/3 + 4). Let z be (-1)\/(-1) + -1 + 2. Calculate the greatest common divisor of c and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*d + 2, 3*l + 4*d + 3 - 28 = 0. Suppose -1 = 2*j - 2*y - 13, 5*j + l*y = -2. Let x be 4\/(-8)*j\/3. What is the nearest to 1\/2 in -3, x, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 + 7*i - 6. Let d be g(9). Let z be 51\/d - 3\/(-15). Let r be 20\/(-6) - (-2 - 0). What is the nearest to 2\/5 in 0.1, z, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 3*w - 2, 5*w = -5*l + 10 - 0. Let x(j) = 2*j + j**2 + 0*j**2 - j + l. What is the remainder when 20 is divided by x(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -128416.2 to the nearest one thousand.\nAnswer: -128000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 453159060 to the power of 1\/2, to the nearest integer?\nAnswer: 21288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/18*(-873)\/(-3104).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28368)\/(-5319))\/(51\/18 - 3).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3537865536 to three decimal places.\nAnswer: -0.354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 20720\/61 = 339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 - 496571929 + 496571929.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1168183?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1447816.\nAnswer: 2, 137, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156604?\nAnswer: 2, 7, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ififfiiiffff. What is prob of sequence iifi?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 7.5. Let z = 32365 - 2718691\/84. Let q = z + -8\/21. Which is the biggest value? (a) q (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 228027 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4693 - -1?\nAnswer: 4694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 36*k - 23. Calculate o(6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14623305*l - 3220537 wrt l?\nAnswer: -14623305","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4110 is divided by 1026.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -8*y**4\/5 - 701*y**3\/5 - 7883*y**2\/5 - 23376*y\/5 - 4140 = 0.\nAnswer: -75, -69\/8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, k: 2}. 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: Round 34324.291 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 1063 and 1060 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + 13 + 12 - (-47 - (-7 + 11)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - -20 - (-7 - 0)) + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -69*n - n**2 + 12 - 3*n**2 + 61*n = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -79 and 0.2?\nAnswer: 79.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*r + 101*r - 5525 = 355*r for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 9, b: 2, h: 3, w: 2}. Give prob of picking 1 h and 1 b.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -123029 + 123029 - 44*v**3 + 4*v as q + m*v**2 + k*v + c*v**3 and give c.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bqkc when four letters picked without replacement from cbkkobkqkkkkb?\nAnswer: 7\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.95848 + -1.1632. Round d to three decimal places.\nAnswer: -0.205","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 52*a**2 - 53*a - 5. Let k(u) = -26*u**2 + 26*u + 2. Let y(j) = -5*k(j) - 2*m(j). Find the second derivative of y(f) wrt f.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*d, -5*t - 2*d + 5 = 23 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -6997875823.\nAnswer: -6997875818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*975.\nAnswer: 8775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7 + j + 0*j + 3 + 1. Let k be (6*-2)\/3 - -8. Let s be n(k). Solve -g = 2 - s for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**3 - 17*b**2 + 316*b - 2866. What is q(9)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/3 + 13559240\/120 - -6. What is u rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-22) + 38390\/(-380061))\/(1\/9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 12) to base 6\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w. Let m be (3 - 2)*(4 + -2). Let x(f) = -113*f**m + 4*f - 4*f - 24*f**2. Calculate x(c(t)).\nAnswer: -1233*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/15 - 5808898*c\/5 + 17426696\/15.\nAnswer: -2*(c - 1)*(c + 8713348)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -443734610 rounded to the nearest 100000?\nAnswer: -443700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/9))**(-28)\/((u**18*u)\/(u*u**(8\/3))) assuming u is positive.\nAnswer: u**(-166\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30181531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -45, -52, -65, -84, -109, -140, -177?\n\"Answer: -3*v**2 + 2*v - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 47211481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 5*u + 2 = 0. Suppose 2*p = 4*v + 12, u*p = -4*v + 3 + 17. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) -1 (c) -581225\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -51*j - 142. Let a be d(-3). Suppose -2*w = -3*i - 10 - 0, 5*w - 4*i = a. Put w, 0, 2, -4 in decreasing order.\nAnswer: 2, 0, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5441 + 7244. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30410 is divided by 15113?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.07 - -0.47. What is the third smallest value in k, -4, -0.37?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) + 5*(sqrt(153) - (sqrt(153) + 3*sqrt(153))) + sqrt(153))*-5)\/((sqrt(1296) - -1*sqrt(1296))*-4)*-2)**2.\nAnswer: 71825\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85529 <= -4\/453?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 - (-5)\/(-25)*5 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mt when two letters picked without replacement from txmvyyxt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**3 - 18*k**2 + 2383*k + 14323. Let h be x(-6). Let c = -5 + 7. Sort -3, c, h in descending order.\nAnswer: h, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 9*s + 24*s - 13*s)*(-4 + 2 - 1).\nAnswer: -6*s - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*f - 45 = 27 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1067184 and -5.\nAnswer: 1067179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -29, -51, -81, -119, -165, -219?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 14 = -146. Is -5*(-4)\/f*-74 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*n + 12 = -34*n. Suppose -3093 - 585 = -n*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 4*i**2 - 901436*i + 222410656 = 0.\nAnswer: 247, 225112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwwwwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + (-3 + 0 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223323.\nAnswer: 3, 74441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 + (-93 - 6)*-12. Let o = p - 814. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a + 1. Let v(l) = 3*l - 2*l + 1 + 4*l - 6*l. Let q(d) = 3*d - 3. Let f(h) = -6*q(h) - 17*v(h). Calculate 3*c(z) - 5*f(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, h: 2, n: 2, a: 1, p: 3, z: 2}. What is prob of sequence azep?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 59157, 1, 19.\nAnswer: 1, 3, 19, 59157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4531.376 millennia?\nAnswer: 453137.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 7:21 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 5*g**2 + 26*g + 122. Determine a(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 5*m + 31, m - 4*r + 0 = -13 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7110135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10403, 20901, 31475, 42125?\n\"Answer: 38*h**2 + 10384*h - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1541994 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3) - ((-28)\/(-21) + -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/48, 0, 89882 in descending order.\nAnswer: 89882, 0, -1\/48, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vxwlwxxxxxwwxxlw. Give prob of picking 1 l, 2 v, and 1 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) + (sqrt(272) - (sqrt(272) + 5)) + 1.\nAnswer: -4 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0027698959 to 4 decimal places.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 1:36 AM?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from wwdwwdwd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -2*u - 8, -11*u + 6*u - 5*l = 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 616*a + 367. Let n(x) = 3694*x + 2205. Let l(b) = -13*i(b) + 2*n(b). Is l(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -0*r - 5*r + 30, -2 = 5*r + 3*p. Suppose -3*f + 6 + 1 = -4*k, r*f = k + 8. Calculate the remainder when 9 is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**2 - 3*f. Let x be d(2). Let l be (x\/(-5))\/(3\/(-40)). Suppose j - 5*o + 25 = 8, -4*j + l = o. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15230, -15213, -15174, -15101, -14982?\n\"Answer: 2*a**3 - a**2 + 6*a - 15237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 25180, -0.4, 49?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a + 4 - a + 2*a - 3*a. Let n(q) = -q - 10210 + 20425 - 10214 + 0*q. Give 9*n(f) - 2*y(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**3 - 5*p**2 - 600*p - 2340 = 0 for p.\nAnswer: -6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 31637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7280, 1\/4, -1\/6 in decreasing order.\nAnswer: 1\/4, -1\/6, -7280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + 2. Let x be 0 - -6*1 - 3 - -1. Give b(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = a, 4*v + 3 = -5. Find the third derivative of 16*z**6 - z**2 - a*z**2 + 14*z**2 wrt z.\nAnswer: 1920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -896, -947, -996, -1043?\n\"Answer: g**2 - 54*g - 843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85 + -766\/9. Let q be -1 + 2 + -2 + 2. Is q >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 11:34 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s = -9*s + 130 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 520 + -45525?\nAnswer: -45005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 + -100. Suppose 2*o + 2*y - 22 = 0, -o - 4*y = -3*o + 46. Let f = o - l. Does 10 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -14*x + 357. Let d be m(25). Suppose -3*v + 18 = 2*f, -f = -0*f - 5*v + 17. Solve -d - 2 = 3*o, 4*j + f*o = -9 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + y = 18, 3*q + 7*y - 36 = 10*y for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 12*o + 3. Let c(l) = -13*l - 2. Let a(t) = 5*c(t) + 6*k(t). Let i be a(8). Which is greater: 63 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-36) + (-6864)\/(-108). Calculate the greatest common factor of q and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 6:57 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 12:53 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1144412 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 1194422*k - 110. Let i be c(30). Suppose i = -9*h - 30137450. What is h rounded to the nearest 100000?\nAnswer: -7300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 63*o - 56. Let m = -5098 - -5103. Let z(x) = -x + 1. Determine m*c(n) + 280*z(n).\nAnswer: 35*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ysysyssqs. Give prob of sequence ysq.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 96 = 3*b. What is the remainder when (-12)\/10*(b + 13) is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 258*v**4 - 516*v**4 - 6*v + 2*v**3 + 52*v + 218*v**4 wrt v?\nAnswer: -480*v**2 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -o**4\/4 - o**3\/2 - 7*o - 1. Factor y(q).\nAnswer: -3*q*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -9, -16, -25?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 387 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y - y + 0*y)*(-2*y**3 + 3*y**3 + y**3) - 256*y**4 - 60*y**4 + 81*y**4 as w*y**3 + l*y + v*y**4 + s*y**2 + r and give v.\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, e: 1, y: 2, p: 13}. Give prob of picking 4 p.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/20 and 49\/4027550.\nAnswer: 8055100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5*o + 189, 4*n = -2*o + 9 - 75. Let x = -38 - o. Solve -5*d = -4*w - 27, -d + 9 = -x*d - 5*w for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p. Let g = -5 - -10. Suppose 0 = g*q - 6 - 19. Let j(v) = -q - v + 7*v + 5. What is j(s(r))?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from ghhbhohhhhgowwhowh?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -12*b - 22. Let x be c(6). Let y = 96 + x. Suppose -7*z + 4*p + 704 = -3*z, 4*z + y*p - 692 = 0. Is 29 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12684, 25366, 38048, 50730?\n\"Answer: 12682*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -8*p**5 + p**4 - p**3 - 6*p - 1. Let n(b) = b**5 - b**4 + b**3 + b + 1. Let i(s) = -l(s) - n(s). What is the second derivative of i(h) wrt h?\nAnswer: 140*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -7.9.\nAnswer: 7.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (3 - 1) - -3. Let d be ((3 - 1) + -2)\/z. Suppose d = -q - 0 + 6. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 5*a**2 - 2*a. Let x be 8\/5*(-120)\/48. Calculate j(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 753, 1541, 2349, 3195, 4097, 5073, 6141, 7319?\nAnswer: 8625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 43*b**2 + 18*b + 2711. Determine s(-44).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**2 + 4*j**2 - 884*j - 14*j**2 + 8*j**2 in the form t*j + l*j**2 + i and give t.\nAnswer: -884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100010001 (base 2) to base 8.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 3. Let q be (-28)\/z - 22\/(-33). Solve j - q = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -865*w**2 + 80 + 25 - 869*w**2 + 1736*w**2.\nAnswer: 2*w**2 + 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -46.\nAnswer: -7\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1016326850 to the power of 1\/2, to the nearest integer?\nAnswer: 31880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2572183.260083 - -2572032.26. Let k = w + 151. Round k to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o*t**4 - 2*o*t + 14*o - 11*t**4 - 8 with respect to t.\nAnswer: 4*o*t**3 - 2*o - 44*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.086333*52\nAnswer: -4.489316","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: 32 (base 14) to base 5\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -80*r**3\/3 + 296*r + 332. Find the first derivative of p(f) wrt f.\nAnswer: -160*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 26 and 0.1.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 26*k**3 - 6*k**2 - 9*k - 10. What is b(-1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x - 11. Let t be z(8). Let v(s) = -10*s + 2. Let p be v(t). Suppose 4*l + 4 - p = 0. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 20 = 3*i, 0 = -i - 5*l + 8 + 17. Suppose -3*y - 3*h - 2 = -20, i = 4*y + 3*h - 21. Suppose -8*m + 120 = -y*m. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 140*a**2 - a - 127 wrt a?\nAnswer: 280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**3 + 84*r**2 + 51*r - 1176. Calculate t(-41).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a - 4*a + 3*a)*(2*a + 0*a - 3*a) + 0*a**2 - 3*a**2 + 4*a**2 + 6*a**2 + 1 - 1 + 2*a**2 - 2*a**2 - 2*a**2 to t*a**2 + b*a + s and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**5*(d**(3\/4)*d)\/d*(d\/(d*d*d**(-2\/21)))\/(d\/(d\/(d*d**(4\/3)\/d)*d*d)) assuming d is positive.\nAnswer: d**(463\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j + 3*j - 3*j)*(10 + 0 + 12) in the form t + w*j and give w.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.3 (b) -2\/7 (c) 0.2 (d) -0.0704 (e) -5 (f) 1310\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 0 - -4)\/(84\/210). What is the highest common factor of 20 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 120 - 80. Suppose 2*g = 104 + y. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/2726554 and 57\/10?\nAnswer: 13632770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -2. Let y = -51 + 52.8. Let p = y + f. What is the biggest value in 1\/2, p, -0.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5035771, -5035767, -5035763, -5035759, -5035755?\n\"Answer: 4*b - 5035775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/15, -1, 93?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(133) + sqrt(133))*-3 - sqrt(133))\/(3*((sqrt(7) - sqrt(14)\/sqrt(2)) + sqrt(7))) - (-5 + 5 + sqrt(152)\/(sqrt(32)\/sqrt(4))*-4).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)*-2*1 - sqrt(336))\/(sqrt(252) - (sqrt(252) - -3*sqrt(252) - sqrt(252))*4).\nAnswer: 2*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -570*g = -495*g - 225 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -7 + 4*w - 5*w + 2*w**2 + 3 + 0*w. Suppose 4*c + 5*d = 6*d + 11, 0 = c - d - 2. Determine l(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-4 - (-1 + -4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -873549540*r**2 + 4046*r - 7723 wrt r?\nAnswer: -1747099080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*r + 48 = 0, 0*r + 3*r = -4*c + 47. Suppose 5*z - 3*u = 12, 4*z + u = 2*u + c. Suppose 2*l = -z*l. Is -1\/2 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62 - -68) + (3 + -6 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2000 - 27997\/14. Let z(x) be the first derivative of 14 - 6\/7*x - 3\/14*x**6 + 15\/14*x**4 + 12\/7*x**3 + q*x**2 - 6\/35*x**5. What is g in z(g) = 0?\nAnswer: -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-11)*i)\/i**(-8\/7) assuming i is positive.\nAnswer: i**(-62\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 19 + 1. Suppose -u + 50 = p*u + 5*w, 4*u = -2*w + 32. Suppose 0 = -u*o + 3*o + 90. Calculate the remainder when o is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in 0.2, -0.2, -2.3, -113\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 10*d + 9. Let o be q(-6). Let z be (-3)\/(-2)*(-20)\/o. Suppose 4*n - z = 2*w - 0, 4*w = 12. Solve 13 = 3*a - 0*f + 4*f, n*f - 2 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 16. Let v(n) = -7*n + 3. Let o(d) = -1740029*d + 1740033*d + 19 - 21. Determine u*o(j) - 3*v(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-56)\/21)\/8)\/(4\/(2*66)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -122.85 and -9970.\nAnswer: -10092.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.75 - 0.85. Let i = -0.009 + 0.109. Let q = z + i. Which is the biggest value? (a) -0.1 (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 3 = 3*t. What is the tens digit of 20\/(1\/t - (-2)\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2\/21 + 32734*r\/3 - 534884 = 0 for r.\nAnswer: -114618, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -6*q + 3*q, -s + 3 = 4*q for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*d**2 + 6*d**5 + 5*d**5 - d**2 wrt d?\nAnswer: 660*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6630 or -6645?\nAnswer: -6630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 369.222116 rounded to one decimal place?\nAnswer: 369.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 23, -5, -15, -1032 in increasing order.\nAnswer: -1032, -15, -5, 23, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = -z - 63 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u - 2. Let o(t) be the second derivative of -t**3\/3 - 3*t**2\/2 - 29*t + 2. Determine -3*o(c) + 5*w(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 208.9563 millimeters?\nAnswer: 0.0002089563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -36267, -36266, -36265, -36264, -36263?\n\"Answer: t - 36268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + (sqrt(110) - sqrt(110)*1))*-2 - (sqrt(110) + (sqrt(110)*1*4 - sqrt(110))))\/((sqrt(90)*-1*-3)\/sqrt(9)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 669.\nAnswer: 2676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138834 is divided by 9583.\nAnswer: 4672","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 60 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6*(2\/(-1))\/((195\/15)\/(-13))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 383.63 and -0.5.\nAnswer: -191.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -11*m**3 - 17*m**2 + 13*m + 9. What is the units digit of j(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/2 - -6)\/((-5)\/(-5)). Let h(l) = 2*l - 7. What is h(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65 or -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/10 + -3)\/((-10)\/25)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 2536080.\nAnswer: 2536080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8322?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 38\/2914025?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/18 - 165\/135 - -11. Let g(a) = -23*a**2 + 7 - r*a + a**3 + 16*a**2 + 13*a**2. List the prime factors of g(5).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 2*i + i)*(-25 + 27 - 16 + (-4 + 1 + 7)*(-4 + 1 + 5)).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*m - 551208 = 849255. What is the ten thousands digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27683833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3623099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25970\/8507 + -144\/47. Let f = 2270198302\/905 + -2508506. Let s = f + q. Which is the nearest to 1? (a) 0.5 (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1038*k**5 - k**3*x + k**2*x + 91*k*x - 5*x wrt k?\nAnswer: -20760*k**3 - 6*k*x + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11416.\nAnswer: 2, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 4*u = 12. Let d = 6 + -4. Suppose 4*q = -2*n + 8, d*q = -8*n + 3*n + 20. Which is smaller: u or q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45\/44 - -36\/11. Find d such that 9\/4*d**2 + k*d**3 + 3\/4*d + 3\/4*d**4 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*15\/6*-1. Let l(y) = -y**3 - 3*y**2 + 7*y. Let n be l(h). What is the highest common factor of 15 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3 - 2607\/(-72)) + 2\/16)*282\/188\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7*(2 - 1 - 0). Let f be ((-1)\/(-2))\/(c\/420). Solve 2*d = -5*m - 20, -2*m = -7*m - 4*d - f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 - 863 - 2*i**4 + 93*i**3 - 865 - 7*i + 1726 to the form y*i + k + x*i**2 + q*i**4 + t*i**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 84180387\nAnswer: -8\/84180387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 + 0.8. Let b = -1 + a. Let k = -0.6 + 1. What is the second biggest value in b, -1\/3, k?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/157752 and -67\/46950.\nAnswer: 3943800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 11*f - 15*f. Let h(s) = -4*s**2. Calculate h(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -3*l**6\/20 - 19*l**5\/60 + 8*l**2 - 8*l. Let p(b) be the first derivative of h(b). Find the third derivative of p(w) wrt w.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 920504 and 32?\nAnswer: 3682016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*(x\/(x*(x**4*x)\/x))\/x*x*x\/(x*x**(-2\/27)\/x)*(x*x**(1\/6))**(-19\/3))**(-36) assuming x is positive.\nAnswer: x**(898\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29642.\nAnswer: 2, 14821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 59*0.7971\nAnswer: 47.0289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5075\/(-290))\/((-1)\/(-2)*-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3 - 94*g**2 - 182*g - 90 = 0. Calculate g.\nAnswer: -45, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*b - 8 = 0, -5*b = -3*m - 1 + 8. Suppose -5*i = 4*r - 2713, -4*i + 2156 = m*r - 8*r. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/5699837 and -53\/114378.\nAnswer: 34199022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 58 + 30 = -4*i, -16*i - 17*i = -5*o - 30*i + 70 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24956 - 24923 + 5*b + 10*b + 74833 - 17*b - 24954.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7340?\nAnswer: 2, 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -7*w**5\/300 - 4*w**4\/5 + 14*w**3\/15 + 3*w**2 + 1. Factor v(k).\nAnswer: -(k + 14)*(7*k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118913183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2, -15, -50, -119, -234, -407, -650, -975?\n\"Answer: -2*u**3 + u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -17. Let z = -190 - -572. Suppose 0 = -p*r + 7*r - z. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1) + 3 + 14 + -18\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g**3 + 5*g**2 + 8*g + 5. Let i(n) = -n**3 - n. Let l(o) = 3*b(o) + 24*i(o). Let j(t) = -t**2 - 1. Give -15*j(u) - l(u).\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 293297038?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 14\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 a when four letters picked without replacement from ayaryhraa?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 36*q - 68. Let u(a) = 35*a - 69. Let d(n) = -3*u(n) + 2*z(n). What is d(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 7 + -6 - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5\/14)*u\/u**(-38))**43 assuming u is positive.\nAnswer: u**(23263\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 5*n**2 - 5*n - 2. Suppose 5*o = 3*o + 12. Let z be d(o). Suppose 2*g + z*a - 78 = 8, -4*g - 2*a = -202. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 367577 to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 54 - 37*s**2 - 48 - 69*s**2 + 20*s**2 in the form p*s + h + l*s**2 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {x: 5, v: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.126 + 0.072. Let d = z - 0.167. What is d rounded to two decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 6*j - 7. Calculate f(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/378 and 125\/43812.\nAnswer: 920052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, m: 1, l: 3, o: 1, w: 3, a: 3}. Give prob of sequence al.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -102134423 (base 5) to base 14\nAnswer: -b1b0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 423 = -155. Let k = 309 - 129. Suppose 5*m - k = m. Calculate the remainder when i is divided by m.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1030272075 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/7 + 47*c**2\/7 - 1494*c\/7.\nAnswer: c*(c - 18)*(2*c + 83)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 604*v + 490*v + 5272 = 435*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*y + 6*y - 5*y to h + g*y and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 323*o**2 - 323*o**2 - 15*o - 14*o**5 wrt o?\nAnswer: -280*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1248067 (base 9) in base 6?\nAnswer: -22335524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 14. Suppose 4*c + k = 3*c. Let r(l) = -l**3 - 10*l**2 - 10*l + 7. Let h be r(c). Solve -5*s - 7 = -3*m - 0*m, 5*m - h = 4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 113*a**2 - 3237*a.\nAnswer: a*(113*a - 3237)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 45 = 5*v, 5*z + 56*v - 57*v - 15 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**2 - 14*z. Suppose -2*d + 10 = 32. Let l(b) = b**2 - 5*b. Calculate d*l(k) + 4*h(k).\nAnswer: k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 14359 = -5*r, -2*l + 28692 = -19*r + 16*r. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-7))\/((-129)\/301)*2\/(-4)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*o = -70*o - 90 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 15*b - 21. Let c be z(-15). Let h = c + 21. Suppose v - 5*j = 64, -3*v = -2*j - h*j - 140. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*a - 46*a = -28. Let g(z) = -a*z + 1 + 7*z + 15 - 15 + 2*z - z**2. Let j(f) = -f**2 + 6*f + 1. Determine 5*g(c) - 4*j(c).\nAnswer: -c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/10*(13 + 2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -p - 1, -2*b - 2*p + 24 = 2*p. Suppose 4*x = 4*g, -3*x + 8*x = -b*g. Solve z = -5*q, x = -5*q + 2*z - z - 10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6333 and 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -87 (base 10) to base 9.\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -73*r + 268. What is o(0)?\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 8) to base 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.248 + 0.818. Let l = j - 0.066. Let v = -6.29 - -6.19. Which is the third biggest value? (a) v (b) 19 (c) -1\/3 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -672, -710, -774, -864, -980, -1122, -1290?\n\"Answer: -13*t**2 + t - 660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) -2\/53 (b) 2\/5 (c) 5 (d) -106\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**2 - 7*c - 9. Let f be (-1)\/3 + (-28)\/6. Let g(u) = 3*u**2 + 5*u + 6. Let l(j) = f*s(j) - 7*g(j). Differentiate l(r) with respect to r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**5\/10 - o**4\/12 + o**3\/3 - o**2 + o. Let z = -2 - -4. List the prime factors of b(z).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u - 5*p = -50, 4*u + 440*p = 437*p + 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -519240 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -8*o + 1. Let h be g(1). Let d(k) be the second derivative of -k**4\/12 - 4*k**3\/3 - 2*k**2 - 13*k. What is the units digit of d(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 156\/24 + -11 + 4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 6*t**2 + 6*t. Let n(u) = 13*u**2 + 13*u. Let w(a) = 4*n(a) - 9*q(a). Let j = -8 + 6. Determine w(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 844932?\nAnswer: 2534796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0)**(-23)*k**(-3)\/(k**(-3\/2)\/k*k)*(k\/(k\/(k\/k**1))*k**(-5))\/((k\/(k*k**(-3\/2)))\/k**(-2)) assuming k is positive.\nAnswer: k**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.35 + 4.65. Let z(j) = -j**3 - 3*j**2 + 2. Let r be z(-3). Which is the smallest value? (a) r (b) 0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(63\/(-3))*1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 5:08 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 208 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -3434403343?\nAnswer: -3434403341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -53*x + 7. Let j be 2\/((-36)\/8 - -4). Is 14 a factor of p(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7, 24, 63, 130, 231?\n\"Answer: y**3 + 5*y**2 - 5*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 + 852\/(-60))\/((2\/(-25))\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 + 0 - -20)\/(2\/1712). Suppose -b - 21354 = -5*l, -3*l + 830 + z = b. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0671 + 0.2671. Let h = -2.04 - -1.93. Let j be -1 - (1 + (2 - 3)). Which is the nearest to j? (a) h (b) y (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - 7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 5:54 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25.823 * 3.\nAnswer: 77.469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 20277 = -22653. Calculate the remainder when p is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*r**2 - 8*r + 8*r)*(-2 + r + 2)*(-4 + 2 - 1 - r) to k*r**3 + o*r**4 + j + z*r**2 + h*r and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x. Let s(l) be the third derivative of -1\/12*l**4 + 0 - 44*l + 0*l**3 + l**2 + 1\/15*l**5. Give -2*d(a) - s(a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*c*f**2*o + 2*c*f**2 - 6*c*o + 201*f**2 + 116*f*o - 2*o wrt f.\nAnswer: 8*c*o + 4*c + 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49590677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -93*i + 2118 - 451 + 286 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 67*r**2 + 10112*r - 753. Give y(-151).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0994092mg to tonnes.\nAnswer: 0.0000000000994092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 13*z - 53. Let v(o) = -38*o + 159. What is -17*s(y) - 6*v(y)?\nAnswer: 7*y - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*x - 6*x + 20, 4 = -4*c + 3*x. Let m = -128 + 129. List the prime factors of c - 3 - 1*(-54)\/m.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41222423050 - 4?\nAnswer: -41222423054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 3*m**2 + 3*m + 2. What is the least common multiple of 10 and c(3)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vcvcczccnvccccczzczc. Give prob of picking 1 v and 1 n.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*j - 27028 + 26356 = 0 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-14))\/((-240)\/840)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9136\/(-48) - 4\/(-12). Round m to zero dps.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 339 and 16206573.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 4:06 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**2 + 12*v + 40. Let j be w(-12). Suppose -2*y - 2*s + 396 = 0, -3*s - j - 510 = -5*y. Is 41 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -79835.\nAnswer: 2\/79835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 8441*a - 725929. Calculate x(86).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus -1.8341284003?\nAnswer: -1.5341284003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15*2\/(-18))\/((-1)\/3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 840 and 318675.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3631461.\nAnswer: 3, 929, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-20\/3)\/(h\/h**(-1\/21)))\/(h*h\/((h*h**12)\/h)*h)**(-13) assuming h is positive.\nAnswer: h**(-873\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k**2 - k**2 + k**2 + (-4*k + k + 2*k)*(-1 + k + 1) - 5*k**2 + 2*k**2 + 2*k**2)*(-3 + 6 + 1 - 2*k) as r*k**3 + u*k**2 + v*k + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -306*v**3 - 4*v**5 - 9*v**2 - 42*v**4 - 144*v**4 + 13*v**4 + 6*v**5 + 308*v**3 + 65*v wrt v?\nAnswer: 120*v**2 - 4152*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 532 and 5016627.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-62)\/112 - 45\/(-105). Put 45, -1, p, -0.4 in ascending order.\nAnswer: -1, -0.4, p, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((172\/(-129))\/((-16)\/6))\/(4\/320)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 6 (b) 1\/1312 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -70 greater than -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdqqeqa. Give prob of sequence qd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 - 91 - (-4 - (-18 - (-29 - -3)))\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9364 - 9320.17. Let f = t + -0.83. Let b = 43.046 - f. What is b rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 36*x + 27. Let o(d) = -d**2 - 18*d - 15. Determine 7*o(q) + 4*v(q).\nAnswer: -3*q**2 + 18*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - ((2 - (2 - (8 - 16))) + -11).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -m**4\/12 - 288*m**2. Let h(q) = 149*q. What is p(h(c))?\nAnswer: -298*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -434, -0.2, -5, 57.1, 3\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 19*c**3 - 986*c**2 + 81*c - 9624. What is k(52)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -433 (base 5) in base 8?\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-1))\/((-1)\/1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13)\/((-26)\/(-12)) + 4. Let j = -1 - o. Do -0.09 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/4 of a minute?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 5*y - 28, -v = -24*y + 19*y + 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -0 + 75. Let c(p) = p**2 + 15*p + 2. Let i be c(g). Let q be i - (-16)\/(4 + 0). Sort -5, q, 1.\nAnswer: -5, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*d - 6 - 19, 0 = 3*d - 3*w + 9. Let a(t) = t**3 + 7*t**2 - t + 6. What are the prime factors of a(d)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -49*n + 4*n + 270, -5*n = 7*d - 4*d - 30 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-6)*((-22)\/10 - -3).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009155 to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4600071g to micrograms.\nAnswer: 460007.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 - ((-4 - -29) + -58 - -25)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*b + 3*b + 16*b - 8*b to p*b + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 37*c - 28*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*(-2)\/36 + 400\/144. Calculate the remainder when (552\/36)\/(2\/t) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 0.83?\nAnswer: -5.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1492265094 to the power of 1\/4, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z**2 + 47*z + 30. Calculate the remainder when 102 is divided by y(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1223510 is divided by 1063.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyy when three letters picked without replacement from {f: 6, y: 4}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 20 = 3*z, 0*z = -2*b - 3*z - 8. Solve -7*o**b - 3*o**3 + 2*o**2 + 2*o**2 + 6*o**2 = 0 for o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*s - 108 = 0, -5*c - 3*s + 229 - 78 = 0. Suppose -3*g - 23 = -2*q + 9, 0 = 2*q + 4*g - 32. Calculate the highest common divisor of c and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 214142986?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 48 + 510 = 5*f, -4*v - 8 = 0. Calculate the remainder when 334 is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 83932.36 decades?\nAnswer: 10071883.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -15. Let t be -6*1*(j - 5)*1. Let o(u) = -3*u. Let m be o(t). Solve 0 = 4*l + 2 - m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (9 + -22)) + -11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**3 + 0*b**3 - b**3 + (-2*b - 2*b + 0*b)*(0 + 1 + 0)*(0*b + 0*b + b**2) in the form j*b + f + n*b**3 + a*b**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -349950414 - -0.104.\nAnswer: -349950413.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4206, -7231, -10256, -13281, -16306?\nAnswer: -19331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2719329 - 3.\nAnswer: -2719332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-1 + 10 - (4 + 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000011638059807 to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -342*f - 3308. What is a(-10)?\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15*(1 - (0 - -2)). Suppose -w + 2*i + 2 = 0, -i - i = -4*w - 10. Let t = w - j. Calculate the remainder when 32 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 2*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -2, 3, -128, 5 in descending order.\nAnswer: 5, 4, 3, -2, -4, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bc when two letters picked without replacement from {y: 1, e: 6, c: 1, b: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40686811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/(-12))\/((-35)\/(-42))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 - 56 = 16*n + 90*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2832941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(2\/5))\/i)\/((i*i**(-4\/7))\/i*i*i)*((i\/i**(-1\/3))\/i)\/i**(-2\/3))**(-1\/2) assuming i is positive.\nAnswer: i**(29\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2756, 0, -94 in decreasing order.\nAnswer: 0, -5, -94, -2756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 13\/11 + 434\/154. Suppose x*d - 137 = -4*o, -6*d + d = -o - 236. Suppose -3*b + 2*b = -90. What is the remainder when b is divided by d?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.044 + 0.056. What is the nearest to -0.6 in z, 2, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1901051 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(190))\/sqrt(10))**2 - sqrt(57)\/sqrt(3)*3.\nAnswer: -3*sqrt(19) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of 1025*g**8\/336 + 13*g**5\/30 - g**3\/2 - 747*g**2. Find the third derivative of d(l) wrt l.\nAnswer: 61500*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + -3 + (12 - -2). Let g = h - 9. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 36*o**2 - 10*o - 3. Let d be c(12). Suppose -14*q + d - 357 = 0. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 8*j + 12. Let o(p) = 1892*p - 22709. Let x be o(12). What is y(x)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*72\/42*(-1683)\/(-1188)?\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1547 and 2104583.\nAnswer: 14732081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7274 rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -43 + (1 - -24)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -20*2\/24*-3. Find the third derivative of -14*u**m - 6*u**2 - u**2 - 44*u**4 + 44*u**4 wrt u.\nAnswer: -840*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 - m**2 + 5*m + 3. Let x(l) = -l**3 - 2*l - 1. Let h = 56 - 55. Suppose 0 = 13*u - 53 + h. Let f be (u + 1)*(7 + -6). What is f*x(y) + 2*s(y)?\nAnswer: -y**3 - 2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6230, -26334, -60310, -108158, -169878, -245470, -334934?\n\"Answer: -6936*f**2 + 704*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 - 215. Let f = 177 + h. Suppose 0*c - 4*c - 12 = 0, 12 = -2*o - 4*c. Which is greater: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - 5. Let t be a(-6). Let i(c) = -c**2 - 19 - 9*c - 81 + 85 - 4*c. Determine i(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 divided by 2?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, n: 3, s: 2, e: 6}. What is prob of picking 2 e?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -124889 - -124967.0086. Let c = -78 + j. Round c to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**5\/9 + 1548860*y**4\/3 + 4646576*y**3\/3 + 13939724*y**2\/9 + 516286*y = 0. Calculate y.\nAnswer: -2323287, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/14 - (-1677)\/903. Let i(d) = -2*d + 6. Let j be i(4). Sort v, -1, 3, j in descending order.\nAnswer: 3, v, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -17*h**5\/60 - 7*h**4\/12 + h**2. Let g(y) = 6*y**2 + 5*y. Give 8*g(r) + 3*z(r).\nAnswer: -3*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 t when four letters picked without replacement from dddbt?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**4\/6 + c**3\/6 - 116*c**2. Let l(n) = -5*n - 1. Let u(f) = 15*f + 3. Let w(s) = -11*l(s) - 4*u(s). Give 4*j(p) + 3*w(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 0*q = 3*q + 5, -4*x - 4 = 4*q for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1660 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u + 25. Let z(d) = 11*d + 63. Let r(f) = -5*p(f) + 2*z(f). Let m(i) = i. Give -7*m(s) - 2*r(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 717229215?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1222102210 (base 3) to base 16.\nAnswer: -982b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*w = -2*k + 2, -3*k + w = 15. Let x be -4 - (4\/k + -4). Let u = 0.5 + -0.4. Which is the third smallest value? (a) x (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -1402 in increasing order.\nAnswer: -1402, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26607 + 26606. What is the closest to g in -17.51, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2800 and 120.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-2)*4\/57. Let w = -0.1 - -9.9. Let x = -10 + w. Sort k, -3, x in decreasing order.\nAnswer: k, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6*855\/(-190).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t - 6. Let h = 60 + -60. Let u(z) be the third derivative of -1\/24*z**4 + 0 + 1\/6*z**3 - z**2 + h*z. Give b(i) + 4*u(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6219287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 76.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*i = 2*f + 44, 3*f + 5*i = 64. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 312 or 214?\nAnswer: 214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 384 + -398. Which is the biggest value? (a) 0.5 (b) j (c) 2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 + -35. Suppose 3*h + 4 = 7*h. Which is smaller: h or t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28962 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 188 + -110. Let y = 195 - a. Calculate the remainder when y is divided by (50\/(-15))\/(4\/(-18)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -153*r + 232 - 81 - 3823 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**3 + 19*x**2 + 36*x - 684 = 0.\nAnswer: -6, 6, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**5\/7 - 3762*p**4\/7 - 3601537*p**3\/7 - 119210256*p**2\/7 - 1004129344*p\/7.\nAnswer: -p*(p + 17)**2*(p + 1864)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -214142*m - 1927284. Calculate r(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 106292760 and 759234.\nAnswer: 106292760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 41269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s. Let u(r) = 2*r. Let f(o) = -4*j(o) - 5*u(o). Let x(z) = 1. Let n(k) = -2*k + 3. Let t(p) = -n(p) + 3*x(p). What is t(f(l))?\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 16*z - 18. Let a(n) = -7*n + 10. Determine -14*a(y) - 6*v(y).\nAnswer: 2*y - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 103*q**3 + 3*q**2 - 50*q.\nAnswer: 618*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 40163, 40162, 40161, 40160?\n\"Answer: -p + 40164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 22. Let m = c - -7. Find the third derivative of 4*h**m + h**2 - 3*h**2 + 4*h**2 + 0*h**2 wrt h.\nAnswer: 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(684)*-5*-6.\nAnswer: 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 899b - 3?\nAnswer: 8998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (33\/18)\/(31\/93). Let x be -1*(-1 + 8\/6). Which is smaller: x or a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 544.36.\nAnswer: -272.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1001010001000000 (base 2) to base 16\nAnswer: -9440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26088048 and 144?\nAnswer: 26088048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -19489420498 + 0.05\nAnswer: -19489420497.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f**2 + 19704*f + 78828. Calculate c(-4).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -df41 - 4?\nAnswer: -df45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 a factor of 123124792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171*-980054.\nAnswer: -167589234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**6\/120 - 3*x**5\/20 - x**4\/3 - 7*x**3\/6 + 4*x**2. Suppose 6 = -y - 5*j + 6*j, 0 = 5*j + 10. Determine o(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (-8 - 1 - (32 - (18 + 16))) - -82?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 870 is divided by 175.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 303.9148 times -2\nAnswer: -607.8296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 u, 1 d, and 1 o when four letters picked without replacement from {o: 1, b: 1, r: 1, d: 1, u: 2, h: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 884*n - 884*n - 14070*n**2 - 10773*n**2 to u + b*n + s*n**2 and give s.\nAnswer: -24843","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 144*l**2 + 35*l + 9. What is the units digit of w(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-14 - (11 - (-2 - -5) - 13))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**3\/19 - 8*b**2\/19 - 6*b\/19 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*o = -24*o + 16, -14*r - 4*o = -24 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-3))\/(2\/18)*50\/(3750\/525)\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a75a1656 - -4?\nAnswer: a75a165a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**6\/200 + l**4\/40 - l**2. Determine i so that r(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/18 + (-52)\/(-24). Suppose l - 453 = -v*l - 4*q, -4*q = 12. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -83 - -123. Let j = k - 28. What is the remainder when 46 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) -53438 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 - -0.3. Which is the second biggest value? (a) z (b) -3 (c) -2\/39 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8\/15 of a minute?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 35 - 18 - 10 - 17*k.\nAnswer: -17*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 5*o + 7*b - 192, -3*o + 132 = 3*b. What is the lowest common multiple of 120 and o?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56509 is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -0.4 (c) 2\/7 (d) -503\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8 - (-1 - (-1 - -3)). Let z be (-6)\/8 - (-2 - (-102)\/24). Which is the biggest value? (a) z (b) w (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*g**3*s**2 - 314*g**3 + 3*g**2*s + s**3 wrt s?\nAnswer: -22*g**3*s + 3*g**2 + 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + -0.4. Suppose 1 = 2*j - 1. Suppose 0 = -v - 0 - j. Sort v, s, 3\/8 in ascending order.\nAnswer: v, s, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7825)\/450 - -17)*-36?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3*i - 7 + i**2 + 5 + 13*i in the form v*i**2 + b + h*i and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**3 + 8*u + 2 - 11*u + 4*u as h*u**2 + y*u**3 + j*u + z and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3789.\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from xxxxxxxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 13*a**2 + 183*a + 2. Let m(z) = -19*z**2 - 182*z - 3. Determine -2*m(q) - 3*u(q).\nAnswer: -q**2 - 185*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*sqrt(88)\/sqrt(11) + ((-5*(sqrt(216) - sqrt(216)*-2))\/sqrt(12))**2.\nAnswer: 8*sqrt(2) + 4050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38937203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + j - 1. Suppose 15*d - 16*d = -85. What is the remainder when d is divided by y(-6)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -31*t**2 - t - 10. Let u be y(-3). Let x = 448 + u. Is x a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15.7 + -8. Let i = c + -8. Let u = -0.5 - -0.4. What is the biggest value in i, u, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 9*m = 216. Let b = m + 45. Let w = b + 23. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-15\/4))**34 assuming g is positive.\nAnswer: g**(-255\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 8*m + 4*j = -6321, -6328 = -5*m - 3*j. What are the prime factors of m?\nAnswer: 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0931 - 7.9069. What is the nearest to 1\/3 in m, 3\/7, 2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-24))\/(1\/(21*18\/21))*6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 222 and 1112?\nAnswer: 123432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.19, -51\/5, 48?\nAnswer: -51\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3087, 6186, 9297, 12420?\nAnswer: 15555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 1233303?\nAnswer: 1233311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 24) + (-2 - 1)\/((-6431)\/177 - -36).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u + 2072 = 4*t + 18*u, -3*t - u + 1530 = 0. Calculate the greatest common divisor of 1 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/(sqrt(12)\/(2*sqrt(4)) - sqrt(3))*1)\/((-6*sqrt(672))\/(2*sqrt(6)*-1)).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 9*z + 330. Let t(m) = 4*m**3 + 43*m**2 - 6*m + 28. Let u be t(-11). Let s be k(u). What is the highest common divisor of 58 and s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-16 + 18 - (-1 + -2)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14230 = 923*n + 500*n for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 3*d**2 + 3. Let a = 43 - 40. Let v(f) = -f**3 + 2*f**2 - 2. Give a*v(o) + 2*n(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -238.0061 - -0.0061. Let p = -237.97 - v. Let t = -10 - -7. Which is the nearest to 1\/3? (a) 4 (b) t (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89 - 85.1. Let h = -0.1 - y. Which is the biggest value? (a) -1 (b) 1\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1113, 1109, 1111, 1119, 1133, 1153, 1179?\nAnswer: 1211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5062236 (base 8) to base 13.\nAnswer: 37a420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + p + 0)*(-1 + 0 + 2) - 2*p - 2*p + 6*p + 2*p + 0*p - 3*p)*(-3*p + 5*p + p).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -105, -60, -1 in increasing order.\nAnswer: -105, -60, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.056 times -0.244569\nAnswer: -0.013695864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -4 (c) 170\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) 5 (b) 21569 (c) 119\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-76)\/(-38))\/((-185)\/(-5)).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-3576)\/(-216) - 8\/18\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 279? (a) 34 (b) 8 (c) -3\/2 (d) 2 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p + 5*p + 0*p. Suppose -66 = -11*m + 11. Let q(v) = v**3 + 7*v. Calculate m*i(g) - 3*q(g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((18\/(-6))\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of l**2\/2 - 3*l + 3. Let w be i(5). Solve 0*k - 8 = w*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 + 0 + 235*w**2 - 25 to the form p*w**2 + r + t*w and give p.\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/576 and 68\/15?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -75, -90, -121, -174, -255, -370?\nAnswer: -525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 4*g + 3. Let v be q(4). Suppose 2*u + 2 = v*u. Which is the third biggest value? (a) u (b) 2\/5 (c) -8 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -6. Suppose -u + b + 1 = 0, -4*b = 2*u - 1 - 7. Let g(v) = 10 + 0 - v + 2*v - u. Give g(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/3 + 59*h**2\/3 - 248*h\/3 + 84.\nAnswer: (h - 2)**2*(h + 63)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 5*m - 4, -2*l + 249 = 3*m + 255. Let q(x) = 0*x**2 - 6 - x**3 + 0*x**2 - 5*x**2 + 6*x. Calculate q(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, z: 4, j: 1, y: 2}. Give prob of picking 1 f and 1 y.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3 + 3*g**2 - 8*g - 2*g**2 - 2*g**2. Let n be k(-7). Let y be ((-3)\/9)\/(n\/(-6)). Which is the nearest to y? (a) 4 (b) 1\/4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**2 + 4*i - 1. Let w be t(3). Calculate the least common multiple of (0\/1 - -7) + -1 and w*3\/((-12)\/2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14006 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/60 and 89\/144?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.87 - -2.87. Let j = 628\/7 + -90. Is z greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9412455 - 10*v**3 - 9412455.\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1233 greater than 71\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 - 34. Let y = 10096 + -10097. What is the nearest to y in j, 8\/7, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 180\/13, -2, 0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 15, r: 1}. What is prob of sequence ra?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*w + 21*w + 1205 = -451 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1))**30)**(1\/4)*(b**(2\/9)\/b)**0\/(b**(-1)\/(b*b*(b\/b**(-5\/2))\/b*b)) assuming b is positive.\nAnswer: 1\/b","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c - 3*c - 3*c - 2*c**3 - 2*c**2 - 2*c**2 + 1. Let n = 6 - 2. Suppose 0*h + x = 4*h + 12, -3*h + 10 = n*x. Calculate y(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(448))**2 + (-4*sqrt(448)*-1)**2 - (2 + -1*sqrt(448) - sqrt(448) - sqrt(448) - (sqrt(448) + (1*sqrt(448))**2)*-5).\nAnswer: -16*sqrt(7) + 21054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15043\/5408 - 21\/338. What is the common denominator of (2\/5)\/((-4)\/(-5)*-2) and v?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13845 divided by -3.\nAnswer: -4615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 6*b - 4*b - 30, 15 = 5*x - 5*b. Let g(t) = t**3 + 6*t**2 - t - 3. Let n be g(-6). Let j(z) = z - x*z - n*z**2 + 6 + 2*z**2. Give j(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of k**4\/12 - k**2 + 3*k. Let v(r) = r**2 - 5. Give 2*v(c) - 5*w(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(1\/5)\/j*j*j*j**0)\/(j**(-1)\/(j\/(j\/(j\/j**(-5))))))**50)**(-46) assuming j is positive.\nAnswer: j**(-18860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (60\/(-16))\/(6\/(-32)). Suppose -236 = -3*x - m. Suppose 0 = 5*n - 2*c - 30, 6*c = 3*c + 15. What is the highest common divisor of x and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*r**3*t**2 + 2*r**3*t + 398*r**2*t - 154*t**5 wrt t?\nAnswer: 6*r**3 - 3080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -0*x + 2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-250*q**2 - 257*q**2 + 384*q**2)*(2*q + q - 4*q) + (4 + 3*q**3 - 2*q**3 - 3)*(2 + 1 - 5) in the form t*q**2 + w + l*q + u*q**3 and give u.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -338072347 - 4*u**2 + 338072347.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-982)\/6)\/((-1400)\/(-246708)). Let t = -28840 - p. What is the common denominator of t and -37\/10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**4\/12 + 3*g**2\/2 - 3*g - 4. Let p(r) be the first derivative of j(r). Calculate p(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220*v**3 - 278*v**3 + 52*v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5935897?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 7*s**2 - 31*s - 1. Let j = 754 - 759. Let r(d) = 8*d**2 - 25*d - 1. Let h(w) = j*r(w) + 4*p(w). What is h(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 5*d + 35, 0 = -r - 2*d - 2 - 1. Let j = 5.2 + 2.8. Let k = -7 + j. What is the closest to -2 in -1, r, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*x**3 - 76*x**3 + 36*x**3.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) -2 (c) 1\/2 (d) -13 (e) 2\/3 (f) -303\/8 (g) -0.24\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3170, -3283, -3392, -3497, -3598, -3695, -3788?\n\"Answer: 2*p**2 - 119*p - 3053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 188 + -205.98. Let p = y - 0.02. Let v = p + 18. Which is the second biggest value? (a) 0.06 (b) v (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 2. Let p be c(-2). Sort p, -5, -1.\nAnswer: -5, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 153 + 48 = 0. Let f be 5*(2\/(-5) + o\/(-75)). Solve -a + z = 3, 3*a = -f*z + z - 23 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 26441763?\nAnswer: -26441763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y = 2*t + 17*y - 2772, 4*y = -4*t + 5524. List the prime factors of t.\nAnswer: 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10382.9 - 10383. Which is the biggest value? (a) -3 (b) -2\/11 (c) j (d) -0.5 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(475)*-1 - (6*(sqrt(19) + 1) - sqrt(19))*6 - (1 + ((sqrt(475) + -1)*-6*-5)**2).\nAnswer: -428437 + 8990*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -2687\nAnswer: 2687.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mgi. Give prob of sequence gmi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 298936084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 9*v + 2386. What is the thousands digit of b(79)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 9*n + 26. Calculate the remainder when 32 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*q - 5*x, 0*q + 4*q - 3*x - 20 = 0. Suppose 32 + 43 = 5*d + 2*b, 0 = q*d - 5*b - 1. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -0.5, -3, -11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2.094 times -16.166\nAnswer: 33.851604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*-60*(-2)\/9. Let g = 49 - j. What are the prime factors of g?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55921543 a multiple of 1044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -589 + 573 + (24 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2052 by 6.\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h - 4. Let l be c(3). Suppose 0 = -l*v - 77 + 82. Suppose -v = b, -b = 4*z + b + 26. Let n(a) = -a**3 - 5*a**2 + 9*a + 9. Determine n(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 3*v. Let u be r(3). Suppose 3*i - h = 9, 5*i - h - 22 + 9 = u. Find the second derivative of -6*n**2 - n - i*n + 3*n**2 wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(800) - (5*sqrt(6)\/sqrt(3) - ((-1 + sqrt(2) - sqrt(2))*1)**2).\nAnswer: 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**7\/21 + 7*j**4 + 5*j**3\/6 + 57*j**2 + 691*j. Find the second derivative of a(d) wrt d.\nAnswer: 40*d**3 + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 15*b**2 + 345*b + 86. Calculate the remainder when 307 is divided by h(-23).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -676025, -676024, -676023, -676022?\n\"Answer: f - 676026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -2. Suppose d - 13 - 14 = 0. Let r be (-38)\/(-24) + (-9)\/d. Is n bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -88 + 235236?\nAnswer: 235148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (112\/(-88))\/(-7) + 46\/(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 6. Let v be l(-8). Are v and -5\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.25 - -0.75. Let l = -1.3 - -0.3. Let a = 5.06 + -0.06. What is the closest to l in r, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m - 44. Calculate u(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 v when two letters picked without replacement from ttvtttttttttttt.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - v - 3. Let y be l(6). Let r = y + 37. Find the common denominator of -51\/22 and ((-89)\/25)\/(r\/20).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b58d4 (base 16) to base 9\nAnswer: -1353062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 282 divide 93624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 142, 982, 2374, 4312, 6790, 9802, 13342, 17404?\n\"Answer: -w**3 + 282*w**2 + w - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 8 + 20. Let q(s) = -s + 2. Let d be q(0). Find the first derivative of 2 - 3 + d*x + 0*x - k*x wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 5*y + 2*y. Let i be y\/((-60)\/16 - -3). Let w be 10\/(-45) - 1\/((-9)\/i). Let c(j) = j**3 - 4*j**2 + j - 2. What is c(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -20*l - 11*l + 20*l + 1 + 1 - 4. Let x(b) = -441*b - 81. Determine -81*v(u) + 2*x(u).\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wtkxb. What is prob of sequence bxw?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 3989669?\nAnswer: -3\/3989669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30718*z**6 + z**3 - 48257*z**2?\nAnswer: 3686160*z**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 246637331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1039 = 18*b - 6045 - 2806. Does 180 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 970, 1352, 1760, 2200, 2678, 3200, 3772?\nAnswer: 4400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -68*h**3 - 9*h**2 - 109. Let y(v) = 3*v**2. Let c(x) = -2*g(x) - 6*y(x). Differentiate c(t) wrt t.\nAnswer: 408*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 25978959?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1 - 4)\/(-15))\/((-5)\/(-2612055) + 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*o*w**4 + 74*o*w**2 + 11*w**4 - 9*w**3 - 2*w**2 wrt w.\nAnswer: 240*o*w + 264*w - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/220 + (-5 - 573\/693) + 6\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273236 is divided by 69.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -173, -288, -403, -518, -633?\nAnswer: -748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 140115*p*r**3 + 7*p - 45*r**3 + 3149158*r wrt r.\nAnswer: 840690*p*r - 270*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a kilometer in meters?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 187283 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/4)\/((-102)\/136). Which is the nearest to q? (a) -5 (b) -1\/2 (c) -3 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 6*l + 7. Let r be k(5). Suppose o + j = 7, r*o - j + 7 = 4*j. Suppose 4*y - 35 = -5*q, 1 = -y + o*q - 2*q. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (16\/(-10))\/((-3)\/(-15)). Suppose 2*k = -5*t - 2*k - 19, -23 = 5*t + 3*k. Are c and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a year in months?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*n + 282 - 3 - 643 = 0 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4443 + 4584 - (190 - -2)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**2 + 156 - 375 + 5*w**2 as f + c*w**2 + m*w and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a*f*h**3 + 3*a*f*h**2 - a*h + f*h**4 - 3*f*h**3 + f*h - h**4 wrt h.\nAnswer: -6*a*f + 24*f*h - 18*f - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.417 and -14402?\nAnswer: 6005.634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28465273.\nAnswer: 503, 56591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-43))\/u*(u\/(u\/(u**(2\/89)\/u*u)))\/u assuming u is positive.\nAnswer: u**(-3914\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.24349 + 1.75651. Which is the fourth biggest value? (a) z (b) -4 (c) -0.03 (d) -0.2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*c**3 + 16*c**3 - c**5 - 6*c**5 - 4*c**2 wrt c.\nAnswer: -420*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i - 7801 = 14319. What are the prime factors of i?\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2994*z - 44714. Calculate t(-15).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52948 or 14.31?\nAnswer: 14.31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*x - 228 = -96*x - 2*g, -g + 75 = x. Calculate the highest common factor of 12 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-18)*5\/20?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 781 divided by 45.\nAnswer: 781\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.139 + 0.9054\nAnswer: 0.7664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26287*a**4 - 1376*a**2 - 4*a?\nAnswer: -630888*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4041 a factor of 2558080197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -76*s**2. Let w(u) = 771*u**2. Calculate w(g(x)).\nAnswer: 4453296*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6*b**2 - 6*b + 13. Determine f(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 364581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -605 + 606. Let v be ((-1)\/2)\/((-1)\/(-3)). What is the smallest value in v, y, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*f**2 + 4 - 23*f**2 - 38*f**2 + f + 25*f**2.\nAnswer: -20*f**2 + f + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -3. Let i(f) = 21*f**2 + 3*f. Let c(s) = 21*s**2 + 4*s. Let w(v) = -2*c(v) + 3*i(v). Is w(d) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m**4 + 35*m**3 - 22*m**2 - 66*m + 2. Let s(w) = 15*w**4 - 176*w**3 + 109*w**2 + 333*w - 11. Let g(h) = -11*r(h) - 2*s(h). Factor g(l).\nAnswer: 3*l*(l - 10)*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(468))**2.\nAnswer: 16848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kx when two letters picked without replacement from gxrxkkgwgkagxgkggrxx?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*g = 10. Suppose x = -3*m - 110003, -g*x + x + 2*m - 439998 = 0. What is x rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000391794 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1006110)\/(-77) - (-156)\/(-429)?\nAnswer: 2, 47, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -833 = -2*w - 5*g + 938, -5*w + 4456 = 3*g. Let t = 468 + w. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + z + 42, 3*c + z - 63 = -c. Suppose k + 7 = 3, 0 = -2*j + 5*k + 106. Calculate the remainder when j is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -974*q - 588. Let p be z(-1). Solve -93*y - 107 = -p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqqqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6 and ((-77)\/(-924))\/((-54)\/164).\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*k = 35 - 85, 6*l - 5*k + 35 = 0. Sort l, 4, -3, 5\/2 in ascending order.\nAnswer: l, -3, 5\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -u**4\/2 + 4*u**3 + 2*u**2 - 6*u + 3534. What is j(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.87062 years to months.\nAnswer: 250.44744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3000)\/(-80)*-4*(-1)\/(-6).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7\/42)\/1)\/((-2)\/(-3))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 774a (base 14) to base 13.\nAnswer: 9522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**3 + 0*z**3 - 9*z**3 + (-2*z + z + 0*z)*(-3*z**2 - 5 + 5) to the form a*z**2 + h + t*z**3 + l*z and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4764.968 meters to centimeters.\nAnswer: 476496.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -859 and -859 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -18*a - 19*a + 36*a + 37. Let o(v) = -2*v + 36. Let p(g) = -7*b(g) + 6*o(g). What is the derivative of p(t) wrt t?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5780, -1 in decreasing order.\nAnswer: 5780, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 109 - 112. Let a(s) be the third derivative of 1\/3*s**3 + 0*s + 0 + 1\/24*s**4 + 2*s**2. Determine a(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 = -8*r + 125 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r + 31*r + 17*r + 320 = 0 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602 is divided by 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1.04 * -3.677684\nAnswer: -3.82479136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((((-120)\/80)\/(-3))\/(2\/(-12)))\/(369\/(-2))?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 243 = -6*m, 205*x + 3*m - m + 93 = 210*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 147, 585, 1315, 2337, 3651?\n\"Answer: 146*k**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31565 = -24*d - 10661. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3027\/5 smaller than 606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -9*a - 13. Let l(y) be the third derivative of y**5\/30 - 63*y**2 - 3. Give u(l(x)).\nAnswer: -18*x**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 291\/((-303513)\/298)*(1 - 41\/34)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*v**2 - 43351 + 43351.\nAnswer: 45*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.329713423 to 5 decimal places.\nAnswer: 0.32971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 3*b - 2. Suppose -36 = -4*t - 2*t. Let i = t - 10. What is x(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*s - 256*s + 102*s = -1966 + 286 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 71*h**2 + 48 - 1319*h**2.\nAnswer: -1248*h**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*w - 10 - 3 = 0, -w = 3*f - 4. Suppose 0 = -3*l - 3*z, 2*z = -5*l + f*z + 30. Solve -2*m - l - 7 = 2*j, 3*m = -4*j - 19 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -8 - (-12 + -4 + (4 - -12))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4 - 5. Let y = 898.5 + -898. Let i = -3 - -6. Put y, t, i in descending order.\nAnswer: i, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56485 + 56485. Suppose -i + 2 = -2. Solve 8*b + 12 - i = m for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*h - 4*v + 8, 12*h + 5*v = 9*h + 19 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(3)*1*1 - (sqrt(243) + sqrt(243) + -2 + sqrt(243) + 3))**2.\nAnswer: -156*sqrt(3) + 2037","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 852 and -611.\nAnswer: -520572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 260094 and 1809?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/94600 and 69\/86000.\nAnswer: 946000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 86\/172*-8*(-22)\/4. Which is the nearest to i? (a) 3 (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**3\/6 - 6*u. Let z(b) = b. What is 3*g(a) + 4*z(a)?\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63 (base 7) to base 12.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 14*a**3 - a. Let r(d) = 5*d**3. Determine 2*g(m) - 7*r(m).\nAnswer: -7*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 98 - -25. Let c(h) = -h**2 - 35*h - 45. Let u be c(-11). Let r = u - t. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 9 + 3. Let s = 3 - 2. Let v = -1 - 2. Which is the closest to s? (a) v (b) -1\/7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 32*y + 25. Let a be o(17). Let h be ((-11)\/(22\/a))\/(1\/2). Round h to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 969928?\nAnswer: 2, 31, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284*k - 821*k - 3202 = 195*k + 3386 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -41*r**4\/12 + 25*r**3\/6 - 9*r**2. Is n(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-17)*i*i)**(-1\/19))**(-2) assuming i is positive.\nAnswer: i**(40\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15146 = 316*b + 1120*b - 9266 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*a - 1\/6*a**2 - 1\/2.\nAnswer: -(a + 1)*(a + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1140452, -2280910, -3421368, -4561826?\n\"Answer: -1140458*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 5, -0.2 in decreasing order.\nAnswer: 5, 2, 1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -131, -1, 0, 526 in decreasing order.\nAnswer: 526, 4, 0, -1, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 + 9 = 4*z. Let d(n) = -3*n**2 + n**2 - z + n**2. Let p(y) = -y**2 + 13*y + 48. Let f be p(-3). Calculate d(f).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 554*x + 3976.\nAnswer: -2*(x - 7)*(x + 284)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 243\/2 - (-2)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, 0, 4, 3076 in descending order.\nAnswer: 3076, 6, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 - 419*n - 11908. What is v(-34)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 2357*d**6\/10 - 1229*d**4\/6 + 2*d + 918. What is the third derivative of h(f) wrt f?\nAnswer: 169704*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 130*s. Let c(p) = p**2. What is i(c(y))?\nAnswer: 130*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6740143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 8:31 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 33*m + 4. What is j(2)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 8*r - 45. Determine m(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 11*a**2 + 13*a - 5. Let d(y) = y**2 + 10*y - 2. Let o(n) = -1229*n + 3*n**2 - 2*n**2 + 1228*n. Let j(f) = d(f) + 4*o(f). Calculate 4*g(q) - 9*j(q).\nAnswer: -q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 92*s**2. Let r(v) = -7*v**2 + 9*v + 3. Let j(l) = -64*l**2 + 84*l + 28. Let a(o) = -3*j(o) + 28*r(o). Calculate m(a(g)).\nAnswer: 1472*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (3614\/(-13))\/(10\/(-5))*(-2 - -133)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -13*b + 5. Let t be u(7). Let l = t + 91. Let h = 5 - 8. Put h, -1, l in decreasing order.\nAnswer: l, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -302*v**2 + 7*v + 327. Let b(k) = -k**2 + k + 2. Let w(a) = -7*b(a) + c(a). Differentiate w(f) wrt f.\nAnswer: -590*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - a**2 + 4*a - 3. Let g = -154 - -159. Suppose 5*x = 3*b - 14, -5*b - g*x + 7 = -b. Give t(b).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w**2 - 9*w + 2. Calculate x(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5716554 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: What is the tens digit of 793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -30 - (21 + (-1 - 8))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-200)\/(-315) - (-2 - 0). Let i = u - 20\/7. Which is the closest to 0? (a) -1\/4 (b) i (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 14753253.\nAnswer: 2\/14753253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - ((8 - 7) + -8 - 9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 2 - 10)*(g - 3*g + 3*g)*(-4 + 4 - 2).\nAnswer: 46*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 5 + -1 + -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5722 + 366199\/64. Let i = -15859\/11 - -1442. What is the common denominator of a and i?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 70.79474um?\nAnswer: 0.07079474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 111000 and 1820000.\nAnswer: 202020000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 137305 and 2105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10.89017*-0.03\nAnswer: 0.3267051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 7*d**2 + 7*d + 8. Let v be f(-6). Suppose o + v*o - 12 = 0. Suppose 0 = -r + o*u + 19, u - 12 = -2*u. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(209) + sqrt(209))\/sqrt(11).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -34707 and -9323?\nAnswer: 323573361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j - 11 + 5 - 6 + j. Let l(r) = 3*r**2 - 6*r + 1. What is the remainder when l(5) is divided by p(-9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3\/2, -0.7, -2, 12389?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -21. Let l = -59 - -179\/3. Sort w, l, -1\/6 in descending order.\nAnswer: l, -1\/6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(832) + -1)*-4)**2*-3*-2.\nAnswer: -6144*sqrt(13) + 319872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 - 35. Let p = 37.81 - x. Let b = 0.18 + p. What is the second smallest value in -0.2, -0.5, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -2\/5 (b) 4 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 70*k**2 - 1\/8*k**4 + 0*k + 0 + 0*k**3 - 1\/10*k**5. What is the second derivative of o(q) wrt q?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*f = 3219, -2*o - 2*f = -f - 6435. Suppose -2*w - 798 = -u + 3*w, 5*w = -4*u + o. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 0. Suppose -604 = -229*x - 361 + 444. Solve -4*w + 0 + 4 = -4*v, a = x*w + 4*v + 18 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131008173 to the power of 1\/2, to the nearest integer?\nAnswer: 11446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2 - 0. Solve 2*f - w = -x, f - 5*f = -3*x + 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 49380 and 124.\nAnswer: 49504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - -2 - (-9 - -14). Solve -a - 2 - k = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 2*t + 0 - 2 + (0 + 0 + 2)*(5 - 5 + 6*t).\nAnswer: 10*t + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 2*g - 4*t + 20, -19 = -3*g - 4*t. Suppose -20 = -5*u, -11*l - 5*u + 35 = -8*l. Sort l, -2, g.\nAnswer: -2, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59.039 - -59. Let n = o + -0.161. Let u = -0.15 - -0.03. What is the closest to n in 5, -2\/3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 116074 + 438965 = 3*k, 5*h = -3*k + 555099. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 1\/61633?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6161*n**3 - 5*n**2 - 376.\nAnswer: -36966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y**2 - 3611 + 3611 - 12*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -11*f**3 + 254*f**4 - 259*f**4 - 4*f**3 = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aann when four letters picked without replacement from {n: 2, a: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2423*g + 2214*g + 2360*g - 7357*g.\nAnswer: -360*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 832 and 289796?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4600.37 - -109.37. Let l = p - -4456.89. What is l rounded to zero dps?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142 - 114*j**2 + 17*j - 142.\nAnswer: -114*j**2 + 17*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6*q**3 + q - 6. Let b(g) = -g - 1. Calculate a(r) - 6*b(r).\nAnswer: -6*r**3 + 7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9552271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167448?\nAnswer: 2, 3, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -s - 48, 0 = 3*s - 10464*j + 10463*j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1025*z - 1020*z + 3*d - 1993 = 0, z = 5*d + 393. What is the third biggest value in z, 1\/5, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-1))\/(((-8)\/28)\/((-1890)\/441))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 317\/126 - 35\/18. Solve 0 - q*v + 2\/7*v**2 + 4\/7*v**3 - 2\/7*v**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/4 - (51\/12)\/1. Put -5, -3, d, 10 in descending order.\nAnswer: 10, -3, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1732500 and 6825.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*17\/(-6) - (-14)\/(-28). Solve 4*h + 15 = 3*j, 0 = -4*j + 3*j - 3*h - s for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 13. Let o = 3 + i. What is the closest to 2 in -2\/3, 2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l - 2. Let u(g) = -44*g - 25. Let f(w) = 18*n(w) - 2*u(w). Let h(o) = 5*o + 5. What is -3*f(k) + 8*h(k)?\nAnswer: -8*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*1\/(-14))\/((-216)\/6048).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**3 - 2*l**3 + 2*l**3 + (2*l - 2*l - 2*l**2)*(4*l - l - 2*l) + 0*l**3 + 2*l + l**3 + 0*l**3.\nAnswer: -5*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0. Suppose -4*y + w*y + 8 = 0. Suppose 0 = y*t - 4 - 26. Is t a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29796 and 194766.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*s + 93731 - 35271 = 0. Is 74 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -164 (c) -0.1 (d) 18\/115\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -8 + (0 - -2) - (-16 - -2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202000200200 - 1000?\nAnswer: 202000122200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.57 (b) 2\/13 (c) -2.2 (d) 1\/5 (e) -0.7 (f) 0.59\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 4*i**2 + 4*i - 4. Let o be a(-5). Sort -4, 2, o in ascending order.\nAnswer: -4, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 75 + 9 = 0. Let t = 8 + -4. Let m = t - 2. Solve -m*y - 5*j = -y + a, j = -4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 44, 2.\nAnswer: -1, 2, 4, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1524616622 + 2?\nAnswer: -1524616620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n - 19*n + 4*i + 3421 = 0, n = 2*i + 3421. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -239 (b) -0.3 (c) 5 (d) -2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 28*m + 1. Let a = 6 - 5. Does 11 divide h(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvvi when four letters picked without replacement from {t: 1, w: 3, i: 10, v: 2}?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97295 = 948*x + 821*x for x.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112, 109, 256, 553?\nAnswer: 1000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2247 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 2324.\nAnswer: 9296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1293600\/(-13440)*4\/(-14)*(-2)\/5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*z - 102, -15*z + 13*z + 249 = 5*j. What is the remainder when j is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i + 5. Let k be x(-7). Calculate the greatest common divisor of 27 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 116 - 80. Suppose -35*r + 25 = -b*r. Let m = r + 29. Solve 2*l - m*l - 4 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 21. Let b(s) = 2*s**3 - 4*s**2 + 5. Let n(c) be the first derivative of 3*c**4\/2 - 11*c**3\/3 + 14*c - 8. Give v*b(k) + 4*n(k).\nAnswer: 2*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1797831306 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 3. Suppose 0 = -i - a*i + 3*m + 811, 0 = -i - 4*m + 153. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 31*d + 35 - 129 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -6*y**7\/7 - y**3\/3 + 1. What is the third derivative of o(g) wrt g?\nAnswer: -720*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -113*o - 1012. Let z be d(-9). Suppose 0 = 3*y - 4 - 14. Solve -3*r - y = -0*j + j, z*j = r + 18 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 20 = 0, 2*y - 7*x = -5*x + 172. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6077*c**3*k**4 - c**3*k**2 - 8*c**3*k - c**3 + 11*c**2*k**4 + 7*c**2*k**2 + 696*c**2 wrt k?\nAnswer: -145848*c**3*k + 264*c**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-3)\/(-6) - (-21)\/(-6). Let h(p) = 2*p + 4. Let a be h(b). Suppose 2*f - 5*i = -2*f + 27, a = -f - i. Solve 5*g = f*g + 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p - 5. Let v be (-1)\/(-4) - 3090\/(-24). Let u = v + -58. What is the remainder when u is divided by l(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/6 of a decade in months?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-5) + 54\/(-170)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006496625 to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1140, -2308, -3478, -4650, -5824, -7000?\nAnswer: -8178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140 and 2959124?\nAnswer: 14795620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 182 = -214 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -55*a**2 - 80*a - 60. Let q(m) = -36*m**2 - 52*m - 39. Let s(b) = 20*q(b) - 13*v(b). Let y(x) = -318*x**2. What is s(y(o))?\nAnswer: -505620*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 + 170853*r - 341718.\nAnswer: 3*(r - 2)*(r + 56953)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbpwpwbppbpw. Give prob of sequence pbw.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 0)*(-342*w**3 - 7288*w**3 + 195*w**3)*(-w - w + 0*w) to u*w**3 + z*w + j + p*w**2 + s*w**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -27060 divided by -1230?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 8:41 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - 37622\/9399)\/(4\/6). Which is bigger: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 276 + 3?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -q - 3*l + 2, -3*q + 12 = l. Suppose 12*b = 13*b - q. What is the lowest common multiple of b and 11\/4 - 1\/(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + u - 2. Let i be n(2). Let t be 88 + 1 + (2 - i). Suppose -5*v = -t - 13. Solve 5*w + 5*r = -15, -v = -3*r + 7*r for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j + 6 = -8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 11342 = 26898. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**7)**4 assuming n is positive.\nAnswer: n**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 1\/4, -0.3, 8011, 5\/4 in descending order.\nAnswer: 8011, 5\/4, 1\/4, -0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30439.\nAnswer: 61, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 2\/75*t**5 + 0*t**3 + 0*t**4 + 1\/300*t**6 - 12*t**2 + 0 + 0*t. Factor u(k).\nAnswer: 2*k**2*(k + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**5\/360 - 11*j**4\/24 + 22*j**2 - 2. Solve m(n) = 0.\nAnswer: -66, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2238 - 1?\nAnswer: -2239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 6*y + 11349. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4536301?\nAnswer: 7, 11, 58913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4011, -3733, -3271, -2625?\nAnswer: -1795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*k - 6, -k + 12 = -185*l + 186*l. Let u(o) = -16*o**3 + 3*o - 3. Let i(b) = -65*b**3 + 13*b - 13. What is l*i(j) - 26*u(j)?\nAnswer: 26*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/23*g**2 + 28\/23 + 18\/23*g.\nAnswer: 2*(g + 2)*(g + 7)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 12\/25 of a tonne?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -3 + (-11 - -11 - -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 5. Let x be 17 + -19 + -1*3. Give b(x).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*d = 2*d - 26. Let p be 0\/((0 + 1)\/1). Which is greater: d or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 103915*x**5 - 171*x**2 - 42?\nAnswer: 6234900*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/12*34155\/(-15180)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2. Suppose p - 1 = 1. Let b(n) be the first derivative of 5 - 4*n**2 + 6*n**p - 1. Give h(b(l)).\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010 (base 2) to base 12.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -21 + 1. Suppose -5 = -5*y - 15*x + 20*x, 3*y + 4*x - 17 = 0. Suppose -6*l - w = -h*l - 28, 12 = y*w. Solve -r = -5*r + l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 618688101 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**5\/105 + 5*h**4\/14 - 36*h**3\/7 - 2*h**2 + 98. Solve v(r) = 0.\nAnswer: -18, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwmdmwmwdwdddmwdww. What is prob of sequence dw?\nAnswer: 49\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 15, g: 4}. Give prob of sequence ii.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 792675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1694 - 506. Is s a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 559 and 6877?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6906*l + 6456*l = 8550 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 99, -3, 0.4, 26?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 173245887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 194320?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7492342817.99999973 + 7492342785. Let a = -33 - n. What is a rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*t + 490067 = -28*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 11*o**2 - 9*o + 6. What are the prime factors of g(-5)?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7320 = 423*l + 1041*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4\/(-6))\/(28\/(-1554))?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2981 + -1361. Is 45 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -2*f**3\/9 - 32*f**2\/3 - 512*f\/3 + 44. Determine v, given that s(v) = 0.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 763088*f**4 - 3*f**3*v**2 + 5*f*v**2 + 88*f + 663*v wrt f.\nAnswer: 9157056*f**2 - 18*f*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3610.627ml?\nAnswer: 3.610627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-10) + (-556)\/(-10). Let t be f\/(-66) + 4\/22. What is the nearest to -1 in 1, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.035 - 0.068. Let l = 104.9649 - 105. Let c = l - i. What is c rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-1\/2)*v*v)\/v)**(7\/4))**(10\/9) assuming v is positive.\nAnswer: v**(175\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6785?\nAnswer: 5, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 632000 = 115*v - 111*v. Round v to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)\/f**0)\/(f**(2\/25)\/f**(-1\/11)) assuming f is positive.\nAnswer: f**(-1422\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 735 and 75?\nAnswer: 3675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g + 1. Let n(i) = -16*i + 3 + 30*i + 5*i - 6. Let h(z) = n(z) + 3*y(z). Let k(q) = 3*q. Give h(k(l)).\nAnswer: 39*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 8*d**2 + d - 1. Let m be w(-9). Suppose 5*l = -2*k + m, -4*l + 682 = k - 0*l. Let a = k + -475. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-4 + 6 + -8 + 11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l - 1. Suppose 4 = -2*j, -s + 0*s - 5*j - 14 = 0. What is k(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + u + 2. Let o(d) = -d. Let j be -1*(1 - (8 - 2)). Let f(c) = -2*c + 9. Let r be f(j). Determine r*v(b) + o(b).\nAnswer: -b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, c: 2, t: 1, l: 1}. Give prob of sequence cc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*d - 1 - 3 + (2 + 2 - 3)*(-4*d - 4*d + 4*d) - 26 + 34 + 0*d + 8*d.\nAnswer: 2*d + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 65*j**2 - 26*j - 598. Is 84 a factor of n(-65)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.0986 to one decimal place.\nAnswer: 16.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 389283 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: What is next in 27779944, 55559843, 83339730, 111119599, 138899444, 166679259, 194459038, 222238775?\nAnswer: 250018464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w + 20*w = -w + 13*w + 195 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*u**3 + 238*u**3 - 945*u**3 + 244*u**3 + 242*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 187725 and 13425.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 42b156f?\nAnswer: -42b1570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81 + -45. Suppose -w + 93 = -5*c, -2*c + 62 + 251 = 3*w. Calculate the remainder when w is divided by s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -1873*n - 637. What is the tens digit of c(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/2)\/(3\/(-8)). Let c be ((-15)\/(-12))\/(2\/8). Suppose c*n = -t + 12 + 3, -k*t = -20. Calculate the lowest common multiple of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 66285, 133165, 200045, 266925?\n\"Answer: 66880*c - 595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1455706704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 6:55 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 19*y. Let j(m) = -58*m + 35. Let k(n) = -58*n + 42. Let g(w) = 6*j(w) - 5*k(w). Give g(v(q)).\nAnswer: -1102*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-374)\/72 + 43 + -36 and (-7)\/(-20) + (-3)\/(-15)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 + 0.7. Does 0.1 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*r**5 + 7170*r**4 + 283205*r**3 - 191200*r**2 + 32000*r.\nAnswer: 5*r*(r + 80)**2*(3*r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1565246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 268 by -4.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -156*p**4 + 125*p**2.\nAnswer: -3744*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i + 108. Does 39 divide d(24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19*54\/1710)\/(162\/20)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 4*m. Let q(d) = -d. Let g = -21 + 20. Determine g*c(j) - 4*q(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -904370\/63 - -101926\/7. Let q = d + -206. Are q and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, c: 8, m: 1, q: 4, y: 1}. What is prob of picking 1 a and 1 q?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -w - 116. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 334809.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -148d?\nAnswer: 148c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*q + 0 + 0 - 262*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 396 and 27.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 969*b**2 + 152. Let u(n) = -19*n**2 - 3. Let c(j) = 3*m(j) + 152*u(j). Let g(r) be the first derivative of r**2 + 141. Calculate c(g(s)).\nAnswer: 76*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 8*o - 4. Let f = -18 - -11. Let n be l(f). Suppose -2*v = 5*h - 14, n*h - 4 = -2*v + 2. Put h, 1, -1 in decreasing order.\nAnswer: h, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 4:53 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11840036809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 34*0.192\nAnswer: 6.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.003 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -668734, -668848, -669038, -669304, -669646, -670064?\nAnswer: -670558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.3237859 and 1799173?\nAnswer: 1799176.3237859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 459 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 22.7. Which is the second smallest value? (a) -6 (b) -1\/2 (c) l (d) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5*y - 24 = 0, 5*y + 35 = 3*x - 19. Sort 2, x, -2 in decreasing order.\nAnswer: x, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 40*v - 76. What are the prime factors of q(9)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8772 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p - 3. Let q be n(-2). Let a = q - -2. Suppose y - 1 = a. Let u(w) = w**2 - 4*w + 2. What is u(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 379*b - 734. What are the prime factors of z(9)?\nAnswer: 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -209 != -211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 0.2, 2\/217?\nAnswer: 2\/217","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 3:13 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*n - 298 + 506 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 64690?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7393608)\/(-168) + (-3)\/(-7)?\nAnswer: 2, 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2. Let c be j(0). Suppose c = -4*q - 3*z + 7, -q = 4*z + 3 + 5. Let h be 1*5 - (8 - 8). Solve -q*g + 4*l = -7*g - 5, -2*g = l + h for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-238)\/68 + 68\/8. Solve 5*o = -5*v, n*o + 15 = -2*v + 3 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*u - 93 - 107. Solve 0 = -f - 3*s + 9, 4*f - u*s + 1 = 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72756538 is divided by 3188?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -491 + 491.000522. Round x to 5 dps.\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**2 + 234725*z - 469430 = 0. Calculate z.\nAnswer: 2, 46943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times -0.245?\nAnswer: 1.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + 0.1. Let u = 0.22 - l. Let o = 0.02012 - u. Round o to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 - 57. Let z = 18.29 + x. Round z to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x + 15 + 13 - 28 - x**3 - x**2 to d*x + p + j*x**3 + v*x**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -22761, -45507, -68239, -90957, -113661, -136351?\n\"Answer: 7*i**2 - 22767*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 + -59. Let w = l + 17.7. Put 3, w, -3 in decreasing order.\nAnswer: 3, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (8 - 7) - 34 - -5 - 3?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -10, -2\/5, -95?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1161892 (base 10) to base 8.\nAnswer: 4335244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*s**2 - 144*s**3 + s**2 - 130*s**3 + 11*s + 48*s**3 wrt s.\nAnswer: -1356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3579 is divided by 271?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f - 6. Let a be m(6). Suppose 0 = -l - 3 - a. What is the smallest value in 2\/17, -0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -2, 17 in ascending order.\nAnswer: -5, -2, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.8 + 15. Let y = s - 2.15. What is the second smallest value in -0.5, 0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.05 (b) 4\/23 (c) -4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhaqevyy. Give prob of sequence yq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 k, and 1 g when four letters picked without replacement from {g: 1, i: 7, k: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l + 28. Let i(r) = -4*r - 29. Let d(k) = 6*i(k) + 5*v(k). Suppose -3*w - 3*u - 42 = 0, -w + 22*u = 26*u + 14. Is d(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -107*r + 634. Let y be k(-5). What is the highest common divisor of y and 668?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n**2 + 10*n + 4. Calculate the lowest common multiple of i(-3) and 66.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 215*w**4 + 17*w**3 + 6*w + 3257469 with respect to w.\nAnswer: 860*w**3 + 51*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-2))\/(9\/(45\/(-20))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184 - 225 - 500 - 10*l - 273.\nAnswer: -10*l - 814","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 195075*w + 11560. Let i(b) = -17*b - 1. Calculate 11560*i(c) + j(c).\nAnswer: -1445*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -364*q**4 - 2*q**3 - 21*q**2 + 21612*q wrt q?\nAnswer: -4368*q**2 - 12*q - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 7 and -2967 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.019 and -0.66.\nAnswer: -0.679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -484*c - 54*c + 245*c - 540*c - 136*c in the form g*c + i and give g.\nAnswer: -969","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29213 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*11520.\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - n**2 + 0)*(13*n**2 + 6*n**2 - n**2).\nAnswer: -18*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 0, 3, -14, -1 in descending order.\nAnswer: 9, 3, 0, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29037?\nAnswer: 3, 9679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 + 11 + 9 + 2*x as h + m*x and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-396)\/2310)\/((-9)\/(-30)))\/((-92)\/(-14)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 z, and 1 d when three letters picked without replacement from {g: 2, j: 4, l: 3, z: 3, d: 1, v: 3}?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j + 6. Let x be t(3). Let z = 283\/7 - 41. Let h = z + -16\/21. Which is the third biggest value? (a) x (b) h (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 526416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 50 * 0.143\nAnswer: 7.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -15*i + 684. Calculate j(45).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(81\/5)*(-6)\/15.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 17*f**3 - 3*f - 48*f**3 + 18*f**3 + 14*f**3 + 19 - 10*f + 13*f**2. What is u(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -460a (base 13) to base 7.\nAnswer: -40415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 3)*1 + (-297)\/(-2189484)*7081.\nAnswer: -3\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*-4*(-21)\/56.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3436 + -3360. Solve 312 = 24*j - p*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26982963 and 30632.\nAnswer: 3829","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 16 + 4 - 21. Let c(g) = 8*g**2 + 26. Let v(q) = 2*c(q) + 20*i(q). What is the first derivative of v(p) wrt p?\nAnswer: 32*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40551166*s**3 + 64258587*s**2 wrt s.\nAnswer: -243306996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -p + 24, -5*p + 4*v = -2*p + 23. Sort -4, 6, 2, p in increasing order.\nAnswer: -4, p, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5 = -5*p, 2*a - 4 = -3*p - 1. Let g(z) = -z**3 + 3. Let l be g(a). Solve -l*u = -4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/104 and -85\/24.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 10) in base 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q**3 + 442970*q**2 + 758278*q wrt q.\nAnswer: -6*q + 885940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 2*n = -175 + 169, -5*n = 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 0 - 3\/20*i**5 + 0*i**2 + 3\/2*i**4 + i - 9\/2*i**3. Factor x(f).\nAnswer: -3*f*(f - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (151*l**2 + 111*l**2 - 181*l**2)*(2*l - 2 + 2).\nAnswer: 162*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101001010011000000000 (base 2) to base 10.\nAnswer: 1353216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -3*p**5\/10 - 15*p**4\/8 - 7*p**3\/2 - 9*p**2\/4 - 3. Let j(s) = 0. What is s?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 255 = -225 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 1 + 2\/3*u**3 - 1\/20*u**5 - 5\/12*u**4 - 9*u - 13\/2*u**2. What is i(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -14. Let u(j) = -2*j**2 - 3. Let s(y) = y**2 + 1. What is f*s(h) - u(h)?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 831525.32 and 0.4.\nAnswer: 831525.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1264909, 2529864, 3794819, 5059774, 6324729?\n\"Answer: 1264955*l - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.114576 + -40106972.\nAnswer: -40106974.114576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -593, -1176, -1759?\nAnswer: -2342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 + -0.4. Let m = f + -3. Which is the second smallest value? (a) 2\/9 (b) m (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -36*s**4 + 1140*s**3 + 416*s**2 - 1008*s - 512 = 0.\nAnswer: -2\/3, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 31 = -k. Let h = -29 - k. Solve -2*u + 6*u = h for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, r: 1, y: 2, u: 6, d: 8, i: 2}. What is prob of sequence rruy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39 and -79.232.\nAnswer: -3090.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -4*r + 30. Let v = r - -45. Suppose -z - v = -6*z. What is the greatest common factor of 36 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (363\/(-44))\/((-3)\/(-8)). Let x = 17 - j. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66 + -69)\/((-2)\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 494644?\nAnswer: 2, 123661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 5*k + 20, 5*a = 2*k + 2*k - 21 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363771510?\nAnswer: 2, 3, 5, 937, 12941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/42*2*6\/(-8)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -6.6, -1339, 0.035?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -5*t + 6. Let f(g) = -g + 1. Let i(z) = 6*f(z) - v(z). Let b(c) = -3*c - 4. Let r(s) = -6*s - 9. Let h(o) = -9*b(o) + 4*r(o). What is h(i(w))?\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.30343933 rounded to 3 decimal places?\nAnswer: 0.303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**2\/2 + 506. Let y(i) = -11*i**2 + 4*i - 4. Let v(b) = 11*b**2 - 3*b + 3. Let o(s) = 4*v(s) + 3*y(s). What is o(u(x))?\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v - 47. Let t be l(13). What is the third smallest value in t, -2, 5\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence si when two letters picked without replacement from {d: 4, i: 4, s: 9, x: 2}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 33334.73 to the nearest 100.\nAnswer: 33300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s - 9. Let f be x(7). Let r = f + 4. Solve -15 = r*a - 5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -772 (c) -1 (d) 2 (e) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 6:11 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 24. Let h = 16 + t. Let v = -1.5 + h. Which is the nearest to 1? (a) -5 (b) 2\/9 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**5 + 24201*n**4 + 65076477*n**3 + 58330129503*n**2 - 260305956*n - 233320905228 = 0.\nAnswer: -2689, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2\/5)*q*q**1)\/(q**(1\/7)*q**(-2\/13)) assuming q is positive.\nAnswer: q**(1552\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*g, 258*g - 9 = -5*y + 254*g for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 991923, 991895, 991855, 991809, 991763, 991723?\nAnswer: 991695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/31 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144\/(-270) - (-52)\/(-1950)*-5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 p when three letters picked without replacement from {p: 12, c: 3}?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 7*n**2 - 9*n + 12. Let c be i(8). Let p be c\/(-1)*25\/(-20). Suppose -6 = p*w - 3*w. Is w >= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5130)\/38)\/(-45) - 7*1. Sort u, 2523, 2.\nAnswer: u, 2, 2523","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -9*y + 58 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 v when two letters picked without replacement from vvjvjvovzjvvoo?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3, -39, -95, -171, -267, -383?\n\"Answer: -10*i**2 - 6*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 404335982, 404335979, 404335976, 404335973, 404335970?\nAnswer: 404335967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3558 is divided by 89?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -788758, -788851, -788944, -789037?\nAnswer: -789130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3132*s + 4700*s - 2553*s in the form o + n*s and give n.\nAnswer: 5279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -126*i + 259 - 251 - 1142 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7892 or -7887?\nAnswer: -7887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63084 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5872 + -5871.6. Sort -0.3, n, 1\/2, -20, -0.6.\nAnswer: -20, -0.6, -0.3, n, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 14) to base 16\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 8*q - 2. Suppose 16 = -3*o - 0*n + 2*n, 5*n = 2*o + 7. Let m = 60 - 26. Calculate the remainder when t(o) is divided by m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 208 or 1249\/6?\nAnswer: 208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/15, 0.3, 10581, -1, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378 = -139*p - 136*p + 302*p for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13*(-18)\/(-2457)*21?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 - 1)*(-4 + 2*z**4 + 4) - 32901 - 2*z**4 - 344*z**3 + 32901 in the form c*z**3 + j*z**4 + s + x*z**2 + r*z and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and ((-17640)\/(-3))\/(0 - 0 - (-35 - -34)).\nAnswer: 52920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2813 + -2908 + (149 - 1)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2*(0 - -2). Suppose 0 = 2*s + 3*i + 68, 2*s - i - 4*i + 84 = 0. Let h = -187\/5 - s. Is h at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 22*j**2 - 69*j - 29. Let a be i(17). Find the second derivative of -8 + 46 - a*z**5 + 131*z - z**2 - 130*z wrt z.\nAnswer: -4860*z**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 108*d**4 + 622.\nAnswer: 432*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -3, 2, -4 in increasing order.\nAnswer: -5, -4, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 k when three letters picked without replacement from lzzlzlzklzz.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y**2 + 14*y. Suppose -5*j - 7*j + 708 = 0. Suppose -15*l = j + 31. Let v(w) = -w**2 - w. Give l*v(c) - o(c).\nAnswer: c**2 - 8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 7173\/165956?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31\/159 + 6247\/3498. Find the common denominator of w and 77\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 1\/24 (c) -5 (d) 3 (e) -56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4*(677 - (-3 + 6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w**2 + 21*w - 23 - 16*w + 13 + 11. Give r(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 124*k**2 + 3*k + 169. Let a(y) = 123*y**2 + 4*y + 167. Let x(o) = -3*a(o) + 4*j(o). What is the derivative of x(r) wrt r?\nAnswer: 254*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17009827*x**5 + 52185623*x**2.\nAnswer: -1020589620*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -4) + (2 - 0). Suppose -f + 4 = -b*f. Which is greater: f or -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 - 2*o + 1. Let p(c) = -c**3 + 9*c**2 - 9*c + 10. Let f be p(8). Let m be h(f). Solve -19 = t + 5*a, m*t - a - 15 = -6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4863562*l**2 + 2377932 wrt l?\nAnswer: 9727124*l","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 44 less than 109?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 18*k + 19. Let w(l) = -l**2 + 34*l - 22. Let f be w(1). Determine y(f).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24491060550 to the nearest one million.\nAnswer: -24491000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 4*w**2 - 7*w - 2. What is the smallest common multiple of 40 and b(-3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 1\/(2\/12). Let c(a) = 2*a**2 - 11*a - 10. Let u(m) = -5*m**2 + 32*m + 30. Let g(h) = o*u(h) + 8*c(h). What is g(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + -0.9. Suppose -15 = -3*v - 3*k, -2*v + 19 = 2*v + 3*k. Which is the smallest value? (a) f (b) v (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 308495.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1572 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2224 is divided by 59?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o + 16*o - 2*o - 13*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 - 452496*y**2 - 12797491860*y - 25593173768.\nAnswer: -4*(y + 2)*(y + 56561)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 0*h + 0 - h**3 + 46*h**2 + 1\/12*h**4 - 1\/6*h**5. Find the second derivative of f(p) wrt p.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 134460, 134324, 134108, 133818, 133460?\n\"Answer: q**3 - 46*q**2 - 5*q + 134510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 672 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74133\/2 - 6227107\/168. Calculate the common denominator of n and (14\/(-24))\/((-24)\/99).\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16204436819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -4, -112, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 1 (c) -2 (d) 17 (e) -6\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*v - 26*v - 45*v + 173*v - 42*v.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6 + 1\/2*j**2 - 1\/2*j - 1\/6*j**3.\nAnswer: -(j - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 + 1 - -9 - (17 - 10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t + 16 = 17*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3133061238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 97 - 98. Let q = 10 - 8.9. Let i = q + 2.9. Sort i, 0.07, g in descending order.\nAnswer: i, 0.07, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, h: 10}. What is prob of sequence hzz?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/12*-2*24\/16.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w**2 - 3*w**2 + 4*w**2)*(0 + 0 - 1)*(2 - 3 + 2) as s + i*w + v*w**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 790035460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 5*u + 2*u + 2*u - u.\nAnswer: -2*u - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 3587022.\nAnswer: 39457242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 15*g - 43. Let q be w(18). Solve 43 - q = -8*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 174*a + 6. Let m(l) = 44*l + 1. Calculate -9*m(b) + 2*r(b).\nAnswer: -48*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 309, 899, 1765, 2907, 4325, 6019, 7989?\nAnswer: 10235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -7*p**2 - p. Let s(h) = -h**2 + h. Let i(y) = -2*c(y) + 10*s(y). Find n, given that i(n) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 208 + -0.146\nAnswer: 207.854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d. Let o be z(6). Let f be (o\/(-63))\/(4\/6). Do f and -0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(4\/13)\/j*j)\/(j*(j*(j\/(j**6*j))\/j)\/j) assuming j is positive.\nAnswer: j**(95\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 0.5, 5, -3, 4.\nAnswer: -48, -3, 0.5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**3\/9 - 232*p**2\/9 + 141094*p - 38251044 = 0. What is p?\nAnswer: -962, 423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 - 209 - 176 + 621 - 193.\nAnswer: 3*t**2 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/7 and 3\/2417299.\nAnswer: 16921093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -7*j**3 + 6*j**2 + 6*j. Let p be 2 - (-2 - (-13 - -3)). Let x(g) = 6*g**3 - 5*g**2 - 5*g. Give p*x(r) - 5*o(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.837116 years?\nAnswer: 0.0837116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/97672 and 143\/57912.\nAnswer: 707047608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 39. Let b be x(0). Let d = -358\/9 - b. Calculate the common denominator of 5\/(-60)*206\/(-3) and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6)*(-330)\/308 - -1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*i - 2997 = 3591. Solve -145*q + 151*q + i = 0 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/21 and 26\/455*-10*326\/(-48)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4 + 36. Suppose -2*r - 4*s - n = -98, -4*r + 96 = -2*s. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-0.71.\nAnswer: -2.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/2 + 115563*l\/2 + 693450.\nAnswer: -(l - 115575)*(l + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -988, -699, -410, -121, 168, 457?\nAnswer: 746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -37, -55, -73, -91?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b + 9. Let p be 9 - 6 - (-6)\/1. Let c(z) = -p - 6 + 11 - 2*z + z. Give 9*c(m) + 4*n(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = c. Let x = -28\/11 - -185\/77. Are x and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5000 and 450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/4*(-4 + 0). Suppose -3*n = 3*k - 9, 3*n = k - 10 - 1. Put 0, d, n in decreasing order.\nAnswer: 0, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (3 + 4 + -3) - (3 + -22).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/9, -2, -2.6, -0.11, 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3589840406 and -4815.\nAnswer: -4814.6410159594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 0, 14, -4, -15162 in descending order.\nAnswer: 14, 3, 2, 0, -4, -15162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.9 - -19.8. What is the closest to 1 in 0.3, s, -1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -36. Put 5, -4\/5, n in ascending order.\nAnswer: -4\/5, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -98, 594, 1306, 2044, 2814, 3622?\n\"Answer: u**3 + 4*u**2 + 673*u - 776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -5*d - 35, d + 11 = -5*j - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2136*o**2 + 11*o - 85843 wrt o.\nAnswer: -4272*o + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, j: 3, i: 3, w: 2, z: 2, v: 1}. Give prob of picking 1 z, 1 v, and 1 w.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 40*p - 4. Let t(j) = 1524*j - 2891*j + 1408*j - 5. Calculate -4*g(l) + 3*t(l).\nAnswer: -37*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 112\/(-10)*(192\/864)\/((-4)\/45)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 12:50 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) -112 (c) 4 (d) -1.3 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-9) - -1*2\/(-6). Let t(c) = -44*c - 1. Let r = -6 + 28. Calculate the remainder when t(d) is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-5 - (-7 + -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 82316 + -49054. What are the prime factors of u?\nAnswer: 2, 16631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s + 2. Let k be l(4). Let f(z) = -z - 21. Let a be ((-24)\/(-16))\/((-3)\/42 + 0). Let h be f(a). Solve -2*g + 4 = h, -u + 0 = 5*g - k for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 119\/21 + 1\/3. Let o be -1 - (-7)\/(28\/24) - -2. Which is smaller: v or o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**2. Let b(i) = 7*i**2. Let d(h) = 11*h**2. Suppose 27 = -5*f - 23. Let l = -5 - f. Let g(y) = l*d(y) - 8*b(y). Calculate g(x(n)).\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -524, -491, 68, 1123, 2644?\nAnswer: 4601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -17*k**2 - 92*k + 91. Let n(d) = 24*d**2 + 93*d - 90. Let s(o) = -2*n(o) - 3*x(o). Factor s(u).\nAnswer: 3*(u - 1)*(u + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = i + 1126160, -2252315 = 2*i + p - 6*p. Let v = i + 74325839\/66. Let g = -190\/33 - v. Find the common denominator of g and -57\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22466043?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 2*h + 2*h)*(-94*h - 404311 + 404311 - 4*h**2).\nAnswer: -4*h**3 - 94*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 324483456 to the power of 1\/4, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 13. Suppose 0 = -4*b + 3*p - r, p = b + 4 - 1. Is 11 a factor of (0 + b)*(-14)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - x**2 + 3*x + 5. Let u be l(-2). Suppose -7*k + 16 = -u*k. Sort 2, 3, k, -19 in ascending order.\nAnswer: -19, 2, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 12\/5, -1\/4, -2, 4.1?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*w - 99763 - 72469 = -2999*w - 40607 for w.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 2*f**2 + 90*f - 240. Give k(0).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, -5, -230, 7, -3, 4 in descending order.\nAnswer: 91, 7, 4, -3, -5, -230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 177. Give x(10).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + d + 1. Let k(f) = -32*f**3 - 6*f**2 - 6*f - 4. What is -k(y) - 6*s(y)?\nAnswer: 32*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 26*g + 366. Let v be p(36). Let b = 49 - 13. Suppose 90 = j + b. Calculate the highest common divisor of v and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a**2 + 10*a + 7. Suppose 7*k = 4*k + 21. Let x(z) = -4*z**2 - 9*z - 6. Determine k*x(b) + 6*y(b).\nAnswer: 2*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4135192282 and 0.3?\nAnswer: 4135192281.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 3*y - 19, 0 = 3*x - 3*y + 2*y - 45. Let t(d) = -15*d**3 + 1. Let l be t(-1). Calculate the lowest common multiple of x and ((-2)\/(-4))\/(2\/l).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**3 - 2*r**2 + 10*r + 1. Is m(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1087, -1130, -1189, -1252, -1307, -1342, -1345?\nAnswer: -1304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (8 - 4 - (4 - 5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**4 + 3806774*d**3 + 18*d**2 - 3*d + 11299 wrt d.\nAnswer: -24*d + 22840644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**3\/4 + 641445*s**2\/2 + 7697383*s\/4 - 2245068 = 0.\nAnswer: -7, 1, 1282896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/24 + (-16)\/6. Is -1*188\/(-2) - y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-102)\/85)\/(6\/(-20)). Suppose l*m = 9*m. Is 1\/19 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/20*6\/9*-3. Let v = -1.1 + 0.1. What is the smallest value in 0.4, v, j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 90*b + 66. What is the tens digit of d(-46)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 191\/5 + -38. Factor -w*p**2 - 1\/5 + 2\/5*p.\nAnswer: -(p - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 11*x**2 - 7*x - 10. Let i be j(10). Let g be 2\/(-7) - i\/(-70). Suppose -4*h + 16*h - 1332 = g. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, 303, 3, 4, -1\/7, -1\/2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11010 + -221?\nAnswer: -12001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001932959 to seven decimal places.\nAnswer: -0.0000193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 + 88. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90 - -98. Let w = 24 + -11. Let g = w + -7. What is the least common multiple of l and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + a + 1. Suppose -3*c = w + 4, 0 = -2*c + c + w + 4. Let g be k(c). Suppose -2 = -2*x - 4. Put g, x, 5 in descending order.\nAnswer: 5, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/38 - 148*(-4)\/(-152).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/(v*v\/(v*v*v**(-9)\/v)))\/v)\/(v*v\/(v\/(v*(v\/(v**(-1\/9)*v))\/v)*v))*v**(1\/5)\/v*v\/((((v*v**(-5))\/v)\/v)\/v) assuming v is positive.\nAnswer: v**(-86\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l\/(l**(-2)\/l)*l)**36*(l**(-2\/13)\/l)**35 assuming l is positive.\nAnswer: l**(2751\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-106)\/8)\/(4\/48). Let l = -91 - t. Suppose 3*p = -y + l, 0 = 3*p - 2*y - 27 - 26. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmmbgkekkekmeemskb. Give prob of sequence bms.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 4. Suppose 5 = -5*a + 4*a. Give p(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(3 + -1)*-2. Let r = v - 2. Solve 2*q + 0 - 10 = r for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-4) - ((-957)\/220 - -3)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/12954 and 71\/12919456.\nAnswer: 38758368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-5964))\/((-2)\/(-6)). Let b = -989\/2485 + f. What is the second smallest value in -8, -3, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-2) - 97\/(-85) - -38*108\/69768. Factor -x*o**2 + 11\/5*o - 18\/5.\nAnswer: -(o - 9)*(o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/9*(-1 + 11\/2). What is the nearest to j in 2\/17, -3, 2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 340068687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.69 - 1.41. Let g = -7 - u. Let q = -154 + 154. Which is the nearest to g? (a) q (b) 1\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5160)\/(-72))\/43*9*2\/21\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 9:44 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**4\/3 - w**3\/6 + w**2 + 6*w. Does 9 divide b(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - s = -26, -2*g - 222 + 215 = 3*s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -761254, -1524120, -2286986, -3049852?\n\"Answer: -762866*y + 1612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -926*d**2 - 911*d**2 + 1831*d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x + 2315 = 15*x. What is the remainder when x is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29060 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**4 + 182*m**3 - 7*m**2 - 20267*m - 1 wrt m?\nAnswer: 12*m**2 + 1092*m - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 15*q**3 - 15*q**2 + 35*q - 4. Let r(l) = -16*l - 61. Let w be r(-4). What is the remainder when f(w) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*s - 6*s - 14*s.\nAnswer: 95*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-3\/5))\/p**(1\/10))\/((p**1\/p)\/p)**26)\/(((p\/p**7*p*p)\/p*p**(-7))\/((p*p**(-5))\/p*p*p**8\/p)) assuming p is positive.\nAnswer: p**(413\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-11)\/7)\/((-702)\/(-1001)) and (-1001)\/(-132)*3\/(105\/2).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6009813?\nAnswer: 3, 263, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -t**8\/6720 + t**7\/630 - t**6\/720 - t**5\/20 - 5*t**4\/3 + 36*t. Let o(i) be the third derivative of w(i). Factor o(h).\nAnswer: -(h - 3)*(h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (790\/(-132) - -6)*462722\/(-2404). Let j = r - 2\/6611. Calculate the common denominator of j and -19\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305421 to the power of 1\/2, to the nearest integer?\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrqbhhrhhtxtxxx. What is prob of picking 1 x, 2 h, and 1 q?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lts when three letters picked without replacement from sdccdcilctcscc?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*f - 13*f - 25 + 25 to k*f + t and give k.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -4 + 3 - -46) + 4 + -10 + 0\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 31 - 0. Suppose c = 5*p - 69. Let w = -11 + p. What is the highest common divisor of 90 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17583162771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*w - 4. Differentiate -w + 26*a**2 - 13*a**2 - 15*a**2 - 5*a**2 wrt a.\nAnswer: -14*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + s**2 + s - 648. Let b be p(0). Is 3\/(-5) - b\/30 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = j - s - 28, 0 = -j - 3*s + 33. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 968 + -968.2. Let w = 9 + -8.2. Sort u, -1, -5, w.\nAnswer: -5, -1, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-0.027.\nAnswer: 0.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20631, 41168, 61615, 81972, 102239, 122416?\nAnswer: 142503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**3 - 5*h - 18. Let u(v) = 3*v - 17 + 49532*v**3 - 49534*v**3 - 7*v. Give 5*d(m) - 6*u(m).\nAnswer: 2*m**3 - m + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*i + 131, 3*f = -3*i + 53 + 145. Let z(n) = 52*n - 33. Let d be z(4). Let s = d + -167. What is the lowest common multiple of s and f?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4183605 by 3.\nAnswer: 1394535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -252*z**4 - 2 + 2*z**3 + 136*z**4 + 150*z**4 to the form f + s*z**4 + q*z**2 + u*z**3 + l*z and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 442?\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w**3 - 5*w**2. Suppose 4*k = 3*a - 15, -3*k - 25 = 17*a - 22*a. Let x(t) = 5*t**3 + 4*t**2. Determine a*x(b) + 4*q(b).\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.17, -3, 5 in decreasing order.\nAnswer: 5, 0.17, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112355 and 230?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 6:44 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9078 and 15486.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422 is divided by 412?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 17. Suppose 0 = n*c - 5*c + 21. Suppose -u + 48 + c = 0. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbe when three letters picked without replacement from {e: 1, h: 6, b: 2, z: 7, j: 2}?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2764338 divided by 174?\nAnswer: -15887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/(-24) - 20\/(-16). Solve 0 = -3*p - 2*j + 17, -f*p + 10 = j - 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1*(-11)\/(65 + 12) + (-32885)\/(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k + 5. Let w(v) = -7*v + 15. Suppose 17 = 28*z + 129. Calculate z*w(g) + 11*x(g).\nAnswer: 6*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.105 - -136.105. Let u = 136.02 - r. Let w be 1 - (5 - 2) - -1. Which is the fourth smallest value? (a) w (b) -3 (c) u (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 10 = 3*h, -7*d + h + 91 = 109 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5681625 divided by 8175?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*v = 6, v + 15 = -l - 4*l. Suppose 3*u - 13 = 4*t, 0 = u - 2*t + 2 - 7. Let o be 133\/98 + u\/l. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a meter in centimeters?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j + 3*j + 0*j + 23*j + 30*j + 11*j + (-1 + 0 + 0)*(-3*j + 0*j + 0*j) + 1 + 2*j - 1 to d*j + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/((1 - 3)\/2). Suppose -2*m - 3 = 2*n - n, y = 3*n + 2*m + 21. Let l = 6 + n. Is l smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110011001000010101101 (base 2) in base 10?\nAnswer: -3772589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 181 - 39*w + 21*w + 258 + 16*w in the form i*w + o and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 + -17. Suppose 0 = -3*w + a + 143. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 3*f + 22. Let q be b(6). Suppose -2*o = -q*o. Suppose -m = -o*m. Solve 2*x - 3*y + 20 = m, -5*x + x + 3*y = 28 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 - 43. What is the remainder when v is divided by (-4)\/(-1) - 4\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (42 - -12)\/27*(-1)\/(-10). Which is the nearest to 28? (a) -4 (b) q (c) 5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 31857*d - 19910610. What is x(625)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -8*w**5\/55 - w**4\/2 + 14*w**3\/33 + w**2 - 6*w\/11 - 8. Find b such that l(b) = 0.\nAnswer: -3, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, z: 3, y: 3}. What is prob of picking 2 y and 1 z?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 12036680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 26673, 25475, 24279, 23085, 21893, 20703?\n\"Answer: b**2 - 1201*b + 27873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-6021)\/2676)\/(2\/((-600)\/9))\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106579512733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-26))\/(12*(-6)\/48).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 6*l**2 + l + 5. Let h be q(-6). Let y(a) = 10*a**3 - 2*a - 1. What is y(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-5 - 0) + 1 + 8 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -54 divided by 6\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 6, 3, -1 in descending order.\nAnswer: 6, 3, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 127192355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 464 and 648.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 148.8\nAnswer: -145.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2456 or -31935\/13?\nAnswer: -2456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 1. Let w be u(-1). Let x(m) be the first derivative of -m**4\/12 + m**3\/6 - m**2 - 19*m + 9. Let l(g) be the first derivative of x(g). Give l(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-84)*(-8)\/(-2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 19 = 2*m - 66, -3*m = 4*f - 65. Calculate the remainder when 56 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/8 - (2 + (-102)\/(-8)). Let m be (-6)\/l*-25*2\/(-4). Let i = -16 - -7. Put -3, m, i in increasing order.\nAnswer: i, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j + 5. Let s(t) = -1. Suppose -9*i + 7 = -2*h - 12*i, 0 = -i - 3. What is h*m(n) + 3*s(n)?\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -491*c**3 + 7*c**2 + 56796*c wrt c.\nAnswer: -2946*c + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r - 40. Calculate the remainder when a(-12) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 3*p + 3. Let g(k) = 5*k**2 - 18*k + 18. Let w(c) = -g(c) + 6*s(c). Let h(r) = 29*r**2. Determine h(w(l)).\nAnswer: 29*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1287.5 and -0.00222.\nAnswer: 2.85825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 1 - 1)*(3 - 1 - 1) + 4 - 3 + 0)*(-2 - 4 + 4)*(36*d + 53*d - 57*d)*(-18 + 13 - 24) to r*d + j and give r.\nAnswer: 3712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10281 - -10281. Let q(o) be the first derivative of 0*o**2 - 30*o - 13\/5*o**5 + 0*o**3 - 19 + l*o**4. Find the first derivative of q(c) wrt c.\nAnswer: -52*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) -3.95 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-6885)\/(-30))\/17*(-12)\/(-54)*9\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -112 + 10. Suppose -h - 55 = -4*b. Calculate the remainder when 53 is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 - -0.9. What is the second biggest value in j, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003089 to six dps.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-150)\/(-875)*(-7)\/4?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0115 - 32.2885. Let d = k + 32. Sort d, 5\/3, -5\/4, 2 in decreasing order.\nAnswer: 2, 5\/3, d, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4394 and 8450?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11804?\nAnswer: 2, 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1223668 != 1223668?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = q - 0. Suppose 17*r = 12*r + q. Suppose -r*t + 12 = -2*t. Is 11 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23625509.\nAnswer: 271, 87179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/3 - (-110 - -111)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y - 10*y + y + 5*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -l - 2*j + 5, -l - j + 9 = 0. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 not equal to -7\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2240, -1827, -1394, -941?\nAnswer: -468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 241775 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**5 - z**5 + 2*z**5)*(2348 + 1805 - 1442) + (-z**4 + z**4 + 2*z**4)*(0*z - z + 6*z) - z**4 + z**4 + z**5.\nAnswer: 2722*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8665, 17515, 26361, 35203, 44041?\nAnswer: 52875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 7774 + 41946 = 0. What are the prime factors of q?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from taasacassnata.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jpd when three letters picked without replacement from {d: 2, j: 1, p: 2, x: 1, r: 2, u: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 4*v - 52 = 0, -25*r + 4*v = -23*r - 24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23474820 to the power of 1\/4, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11858\/5*q + 913066\/15 + 2\/15*q**3 + 154\/5*q**2.\nAnswer: 2*(q + 77)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145972?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 451 or -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -133 - (582 - 649)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, p: 1, i: 3, q: 5, u: 3}. Give prob of picking 1 q and 1 p.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 129*t - 1113 + 1113 in the form f*t + y and give f.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6644, -6632, -6606, -6560, -6488, -6384, -6242?\n\"Answer: s**3 + s**2 + 2*s - 6648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 774.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423\/597 not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-3) + 70\/6. Let s be (o\/(-5))\/(4\/(-210)). Let f = -50 + s. Is f a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 201398*b**3 - 3720*b**2 + 4*b + 5954*b**4 - 201398*b**3 - 4*b wrt b.\nAnswer: 142896*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1373.\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 135 - 0. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*c**3 - 20*c**3 - 16*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44.5 - 38.5. Which is the closest to 2? (a) h (b) -0.5 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of m**2 + 28. Let g(o) = -12*o. Determine u(g(y)).\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 202110?\nAnswer: 202021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101 (base 2) to base 7.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23439 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/15 + 1)\/(3\/3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 - 13*v - 4. Let r be k(-6). Let q = -594 - -616. Solve -2*f + 13 = 4*g - f, 4*g - r*f = q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 159 + 3*a + a**3 + 0*a**3 - 160. Determine f(3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -877*r + 879*r + 2*r**3 - 1 - r**2 + 0*r**3 - 3*r**4 to i*r + u*r**2 + y*r**4 + k*r**3 + d and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4576942*t**3 + 6479314?\nAnswer: 13730826*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (142\/4)\/(8\/16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20.14 + 20. Is 2\/7 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*l - 94 - 201*l - 128 + 222.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 181792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 9 (b) -0.09 (c) -318\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -508 + 540. Solve 0 = -11*f + 3*f - c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zqz when three letters picked without replacement from zqzzzq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 188706, -13, 4 in ascending order.\nAnswer: -13, 4, 188706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 5*z. Let a be s(5). Let k(c) = -2*c + 9. Let o be k(a). Let t = -57 + 129. Calculate the greatest common divisor of o and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -151, -96, 69, 398, 945, 1764, 2909?\n\"Answer: 9*d**3 + d**2 - 11*d - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1336 - 1331. Is -8 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -14466112?\nAnswer: -14466111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*z - 9*z + 11*z + 13*z as b + x*z and give x.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = v - 26. Let y(w) = -w**3 + 5*w**2 + 9*w - 6. What is the remainder when v is divided by y(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**27\/x*x**19 assuming x is positive.\nAnswer: x**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {w: 1, s: 1, n: 3, o: 1, i: 4, v: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*i + 420*i - 348 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*d + 1773000 = 39*d. Round d to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 5:49 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1310, 1 in decreasing order.\nAnswer: 1, -4, -1310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1995595?\nAnswer: 1\/399119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058054 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -132\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 1:18 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (5 - 10) + -14 - (748 + -775).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 10) to base 16\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m + 1. Let o(v) = 12*v - 3. Let h be -3*((-270)\/72 + 9\/12). Calculate h*j(n) + 3*o(n).\nAnswer: 27*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 892261 to the nearest integer?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/(q*q**2*q*q))**(3\/16))**(-41)*((q\/q**(-1))\/q)**(-34)*q*q**(-2\/3)*q*(q\/q**4)\/q assuming q is positive.\nAnswer: q**(-511\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 369591 - t**3 + 10*t**4 - 3*t**2 + 369592 - 739198 in the form l*t**2 + g*t + a*t**4 + k*t**3 + x and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(3\/(-51)*74\/74)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-g + 11*g - 3*g)*(-1 - 4 - 1) + g - 2*g + 2*g)*(-1 + 2 + 1)*(19*g - 6*g - 6*g) to u + o*g**2 + a*g and give o.\nAnswer: -574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 112.8?\nAnswer: -33.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(10\/(-36))*(78\/104 + -2). Determine i so that 0*i**2 - 3\/8*i**3 + 39\/8*i + f = 0.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-7 - 819\/49)*7\/(-4) and -17\/46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, -7, 2, -0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of u**6\/120 + u**5\/20 - u**4\/6 - 7*u**2\/2 + 9*u. Let i(s) be the first derivative of h(s). Is i(3) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -878*p**2 + 4*p - 3. Let b be a(7). Let k = b + 2997. What is k rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(112\/(-7)))\/(7\/2*(-448)\/(-98)).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - 6*-3*sqrt(88))\/(-1*-2*sqrt(8) - sqrt(8)))**2.\nAnswer: 3971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1.4, 9, 1 in descending order.\nAnswer: 9, 2, 1, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 271531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -8\/87419 (c) 0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 360 (b) -1\/4 (c) 2\/7 (d) 3 (e) -29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, u: 3, n: 2, x: 1}. What is prob of picking 2 n, 1 d, and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 331612623 - 24?\nAnswer: 331612566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 528867.8 weeks in microseconds?\nAnswer: 319859245440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2237951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, m: 3, a: 4, y: 1}. What is prob of picking 2 a, 1 k, and 1 m?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 12:20 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -6. Suppose -3*c + 5 = 2*c. Let i(b) = -b**3 - 17*b**2 + 62*b - 455. Let s be i(-21). Solve -z - s = 2*v, c = -v - u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -110020 (base 3) to base 7\nAnswer: -651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q = 21*q + 12. Suppose 689 - q = d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bssbbssll. What is prob of sequence sbl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5*y**2 + 719*y - 24087. Determine h(90).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -14*h - 6. Let s be m(-2). Calculate the greatest common factor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19232 by 173.\nAnswer: 19232\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 628264883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 3:41 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h - 32*h = -22*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-15)\/((-315)\/14))\/(1\/9). Let w be (3\/6*3)\/(s\/(-56)). Let b(j) = -6*j - 12. Calculate the smallest common multiple of 4 and b(w).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -413*k**3*x + 7*k**3 + 27775*k**2*x wrt k?\nAnswer: -2478*x + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -662 divided by 2.\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 36?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14253?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**3 + 845*s**2 - 18400*s + 94500 = 0 for s.\nAnswer: -189, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147 and 2352?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.99 - -0.01. Which is the nearest to l? (a) 0.4 (b) 0 (c) 2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10202010022 - -1121?\nAnswer: 10202011220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350229086.\nAnswer: 2, 175114543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 6) to base 13.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44241 (base 5) to base 11.\nAnswer: -2342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13652446 and 2348.\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than or equal to -21829336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**3 - 2*i**2 + 8*i + 20. Determine j(-4).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7178633000 rounded to the nearest one million?\nAnswer: -7179000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(252) + sqrt(252) + 1*sqrt(252))\/sqrt(9))**2.\nAnswer: 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*6\/9*-66. Suppose -u = -d + 5*d - 19, u - d = q. What are the prime factors of u?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*n**4 - 7 + 191*n**3 + 6*n**2 - 284*n**3 - 2*n + 94*n**3 in the form v*n**3 + q + l*n**2 + r*n**4 + i*n and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -1.162 (c) 21 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -182 + 182. Suppose -2629 = -3*z - 4*v - 248, -v + 2 = k. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 15 = 0, 17 = -2*s - 4*x - 1. Let n = 18 + s. Solve -5*r - 27 = -r + 3*z, -29 = n*r + 4*z for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 370 - 0?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 - 10*u + 11.\nAnswer: -(u - 1)*(u + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 - 36. Let w = 1 - 3. Let s = w + -5. Is s greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -273 + 376. Calculate the remainder when q is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 6*a - 1. Let t be j(6). Let q be (-6620)\/48 + t + 3. Let d = 136 + q. Is -1 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -190\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1246\/(-801))\/((-1)\/9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/14)\/(5\/20*4).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -h**6\/1800 - h**5\/12 - 49*h**4\/120 + 83*h**3\/3 - 89. Let p(i) be the third derivative of n(i). Suppose p(x) = 0. What is x?\nAnswer: -49, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -401 + 400. Is -1 + (-82240)\/(8\/v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10, -42, -94, -166?\n\"Answer: -10*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1372.69 rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -263.547819 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from beqkqfkfvbefvkf. What is prob of sequence vfq?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83 - -77. Suppose -h - 15 = -1. Let i = y - h. What is the smallest common multiple of 18 and i?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 14*h - 17*h + 234, -2*u - 259 = -3*h. List the prime factors of h.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -17. Let f = -0.44 + -41.56. Let c = -43 - f. Which is greater: c or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + l - 0*l - 49, 0 = -l + 4. Let h = f + -6. Suppose -5*t - h*j = -0*t - 71, -3*t + 49 = 5*j. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 2*a**2 + a**3)*(0*a**2 + 3*a**2 - 2*a**2) + a**5 + a**5 - 4*a**5 + 0*a**3 - a**5 + 0*a**3.\nAnswer: -2*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3463.284 to the nearest one hundred.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.66 greater than or equal to -46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161571798.\nAnswer: 2, 3, 61, 147151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmbg when four letters picked without replacement from {l: 7, b: 8, m: 1, g: 4}?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(600)*-2 - sqrt(600))\/(-1*sqrt(12)*1))**2.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-3*10\/(-45)) - 3. Solve 8*m + 17 = -k + 3*m, a*m + 7 = k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005001 to five dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*j**2 + 44*j**2 - 18*j**2 + 5*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 611?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5327558881\/69 + -77213414. Let i = 24320\/23 + p. Let z = i - -1329. Is -28 less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/49)\/(99\/140 - ((-684)\/(-90) + -7)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccyc when four letters picked without replacement from {y: 4, c: 7}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11709 - 7940. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i. Let m(r) = 176*r. Give z(m(y)).\nAnswer: 352*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 743483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -3*b**4\/2 - 3*b**2. Let a(k) = k + 7. Let u be a(-8). Is 14 a factor of w(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3618 = 5*b - 1306. What are the prime factors of b?\nAnswer: 2, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-3) + 2)*3. Let p be 0 - 0 - x\/(-1). Suppose 0*r - r = -p. Solve -5*y + r = -i, 4*y - 5*i - 10 = 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 57089644?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 8*a + 5. Let k(c) = 0*c - 2*c + 59 + 58 - 118. Let y be (-1)\/(-4) - 18\/8. Calculate y*o(l) - 9*k(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -10*y**3 + 2158*y**2 + 440*y - 1713. Determine p(216).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**4 - 20*o**3 + 64*o**2 + 320*o.\nAnswer: -4*o*(o - 4)*(o + 4)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3526, 3278, 3030, 2782, 2534, 2286?\n\"Answer: -248*z + 3774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 266*j - 268*j - 2*n - 29844, 4*j + 5*n = -59693. What is j rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2094580163?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-200)\/(-104)) + (-1 - 1).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 - 216*h + 1 + 171*h.\nAnswer: -45*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13866608?\nAnswer: 2, 7, 23, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/199? (a) 5 (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -0.1. Let f = -55 - -54. What is the nearest to a in -3, f, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*t**4 + 10*t + 14\/3 + 2*t**3 + 43\/6*t**2.\nAnswer: (t + 1)*(t + 2)**2*(t + 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 51 = -9*q. Suppose 4*w - w + t - 154 = 0, q*t = 5*w - 238. What is w rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208395027 to the power of 1\/2, to the nearest integer?\nAnswer: 14436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 8986 (b) 268 (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*x + 10. Suppose -g + 5*r = -16, x*g - r - 6 = -g. Let p(v) = -v**2 - 7*v - 1. Let h be p(-6). Which is the closest to 1? (a) 3 (b) h (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - -3. Let g be 5\/(-2)*(-8)\/o. Let j(x) = -3*x**2 + 6*x + x**2 + x**3 - 4*x**g. Calculate j(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from ttotoooooooott?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 851714.4 nanometers to meters.\nAnswer: 0.0008517144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1215\/(-93) + 294\/4557?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 469, 121, -3, -8, -4, 3 in descending order.\nAnswer: 469, 121, 3, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 9*w - 3. Let b be z(2). Suppose 5*u + b = 0, 2*u + 13 = 2*f - 1. Solve -2*j - 2*d = -0*j - 2, 0 = -2*j - f*d for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1773 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -80\/268299 and 101\/59622.\nAnswer: 536598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 798911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/7 + 1594\/(-7). Let h be 4\/(-18) - k\/54. Factor l**5 + 0 - 2\/3*l**h + 0*l + 0*l**2 + 0*l**3.\nAnswer: l**4*(3*l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g**3 - 638*g**2 + 319*g - 159. Give a(159).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n - 4. Let h(d) = d**2 - 14*d + 17. Let g(x) = -2*h(x) - 9*y(x). Let m(c) = -7*c**2 + 2*c + 6. Give 8*g(w) - 3*m(w).\nAnswer: 5*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1750, 7022, 15808, 28108?\n\"Answer: 1757*f**2 + f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.9 - -4. Let q = -0.9 - y. Which is the nearest to 1\/3? (a) q (b) 0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -211 (base 7) to base 5\nAnswer: -411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + 5 - (sqrt(5) + (sqrt(5) - -1*sqrt(5)) + 3)**2) + sqrt(5) + sqrt(5) + sqrt(320)*2 + -1.\nAnswer: -50 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -g**2\/2 + 2*g + 2. Let f be b(2). Solve 4*a + 1 - 13 = f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v. Let q(u) = -35442508*u. What is q(a(m))?\nAnswer: -70885016*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -3. Let u = -24 + 27. Suppose -u*q - 18 = -6. What is the closest to j in -5, q, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 1184\/5*g + 864\/5*g**3 - 2\/5*g**5 + 136\/5*g**4 + 352*g**2 = 0. Calculate g.\nAnswer: -2, 0, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**5\/5 + 3*q**4\/5 + 27*q**3\/5 - 27*q**2\/5 = 0. Calculate q.\nAnswer: -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 6*g + 6. Let k be r(-6). Let v = 54 - 28. Let f = 46 - v. Solve -2*l + f = -k*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1366?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 93 = a, 62 = -0*n + 2*n + 4*a. Let p = 3920 + -3767. What is the remainder when p is divided by n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 7:17 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 58\/87*((-2)\/(-5))\/(1\/15)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31078202?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*v - 36. Suppose 5*s = 48 + v. What is the remainder when s is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 65 - 21. Let w(n) = 17*n**3 - 11*n + 11. Let b(a) = -3 - 4*a + 6*a**3 + 7 + 0*a. What is l*b(k) - 4*w(k)?\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 85 and -15.9.\nAnswer: -1351.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1959.\nAnswer: 3, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 6:43 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t - t - t - 6*t - 5*t + 5*t + (-3 + 0 + 4)*(2*t - t + t) + t - 1 + 1 + 3*t + 0*t - t - 2 - t + 2 to the form o + b*t and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 62 and 0.4.\nAnswer: 24.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - v - 986 = 0, -6*j - 3948 = -10*j + 2*v. What is the highest common factor of j and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-11 + 14 - (-1 + -10 + 3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 543 - 179 = 0. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4*j - 983 = 2*j, 2*q - 5*j = 370. Calculate the smallest common multiple of 78 and q.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 7 + -11 + 1 - -11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -2 - 6)\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30926436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -8*l**6\/15 - l**4\/6 + 8*l**3\/3 + 8*l + 1. What is the third derivative of p(g) wrt g?\nAnswer: -384*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99171 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -112 + -598. Let i = -139 - s. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 4 - 2)*-10. Let z(f) = 1 + f**3 - 3*f**3 - 6*f**2 + 2*f - 3*f**2 + c*f**2. What is z(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 853047682?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 6 = o, 3*o - j + 806 = 826 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1054)\/(-17))\/(4\/(-28)*14)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -7*y - 3. Let o(m) = 2*m + 2. Let n(i) = 3*o(i) + w(i). Suppose 5*p + 7 = -l - 0, l + 7 = -p. Calculate the remainder when 29 is divided by n(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 2. Let x = 50 - 46. Let z be x + -5 + 21\/15. Which is the nearest to z? (a) o (b) -2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 298, 602, 898, 1180, 1442, 1678, 1882, 2048?\nAnswer: 2170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 11:39 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.8 + -0.8. What is the nearest to 1 in -0.2, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 270 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 8*i + 56. Give a(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1480734465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 4*j. Let w be n(4). Let y(q) = q**2 + q + 4. Let c be y(w). Find the third derivative of 17*k**4 + k**c - 8*k**4 + 6*k**2 wrt k.\nAnswer: 240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7b + -28ca08?\nAnswer: -28c95a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -374*z - 1784*z - 399*z.\nAnswer: -2557*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 493 = 56*l. Let h(t) be the second derivative of t**4\/12 + t**3 - 11*t**2\/2 + t. Calculate h(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 150, 266, 374, 474?\n\"Answer: -4*o**2 + 128*o + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3542489 to the nearest integer?\nAnswer: 1882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -120961107*h - 1404412943 wrt h?\nAnswer: -120961107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - 1. Let t be i(-4). Let n = t + 1. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13330867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d + 2. Let i(q) = 27*q - 16. Let a(t) = -i(t) - 6*x(t). Determine a(11).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-462)\/(-1925))\/((-18)\/(-10) + -1). Let x(p) be the second derivative of 0 + 0*p**4 - i*p**5 + 1\/3*p**3 + 1\/2*p**2 - 5*p. Give x(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-t - 3*t + 3*t)*(-4*t - 4*t + 7*t) - 2*t**2 + 3*t**2 - 4*t**2 + 5*t**2 + t**2 - 3*t**2)*(-130*t + 34*t - 91*t).\nAnswer: -187*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -243006.9 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*j - 5*j. Let r = -26 - -86. Suppose -4*o - 20 = -j, 0 = 5*n - 3*o - r. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12797 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.044 times -17?\nAnswer: 0.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + w + 1. Let u be i(2). Let k be 6\/(-4)*u\/(-3). Let f = -272 - -268. What is the nearest to 0 in 0.1, k, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*c + 16. Let q be (12\/(-8) + 0)*16\/(-6). Put c, 0, q in ascending order.\nAnswer: 0, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, -7\/24, -1, 0.145, 0.4, -1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**3 - 14*i**2 - 17*i + 14. Is o(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffmfcxffffxfcfx. What is prob of sequence cfcf?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23200 + -131?\nAnswer: -23331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2. Let s(l) = 51 - 25 - 26 + 9*l. Determine b(s(r)).\nAnswer: 162*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 39996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 - 1331*u + 24282.\nAnswer: -(u - 18)*(u + 1349)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 336\/54 - (-4)\/18.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3110 and -0.28?\nAnswer: -870.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 285 divide 98379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (15 + -3) - (-1 - -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 4*p - 3100, 1233 = 2*h + 2*p + p. Suppose -16*f + 4*f + h = 0. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66484616 divided by -22.\nAnswer: -3022028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203051427.\nAnswer: 3, 53, 431, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3 = -3*x - 3, 5*x = -5*i + 20. Suppose i*a + 5*f - 25 = 0, -2*a + 5*f + 15 = 3*a. Differentiate 8*s**2 - 28 - a*s**2 + 42 with respect to s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 w when two letters picked without replacement from vwd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305518*u**3 - 152953*u**3 - 152563*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2722 is divided by 130?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 4*l - 20 = 0, 5*s = -4*l - 0*l - 28 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20053 + -5051005?\nAnswer: -5030512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 46.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 16 = f. Let m(w) = -w + 35. Let n be m(10). Let s = n - f. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -14*j**2 - 14*j - 11. Let u(h) be the second derivative of 5*h**4\/12 + 5*h**3\/6 + 2*h**2 - 15*h. Give -3*o(t) - 8*u(t).\nAnswer: 2*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3294945 - 3294565.6002. Let h = c - 378.4. Let s = h + -1. Round s to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/(-1)*59653\/(-7 + -10) is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13144331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 35500 rounded to the nearest 1000?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/2*75\/9. Let k = -7 - p. Calculate the greatest common divisor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -102757745*b**5 + b**2 - 25*b + 69228.\nAnswer: -6165464700*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 3. Let m(t) = t**2 - t + 1. Let o be m(1). Let b be (o\/(-4))\/(-1) + 69\/12. Calculate k(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -327 + 323. Let z be (-104)\/(-5)*(-12)\/48 - -5. Which is the nearest to -2? (a) 3 (b) l (c) z (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 35*c**2 - 2371*c - 12748. Determine m(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 8*w**2 - 5*w + 11. Let z(y) = -555*y**2 - 312*y + 1026. Let h(r) = -57*r**2 - 33*r + 108. Let i(o) = 48*h(o) - 5*z(o). What is -24*a(j) + 5*i(j)?\nAnswer: 3*j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 578.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1766750, -1766794, -1766908, -1767128, -1767490, -1768030, -1768784?\n\"Answer: -6*m**3 + m**2 - 5*m - 1766740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 7) to base 12.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 515910.37+17944\nAnswer: 533854.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 68328 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1010010010101000001 (base 2) to base 8\nAnswer: 1222501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 13*p**2. Let c(m) = -13*m**2 - 9. Let g(q) be the third derivative of q**5\/10 + 2*q**3\/3 + 13*q**2. Let x(s) = 4*c(s) + 9*g(s). What is j(x(d))?\nAnswer: 52*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3433481, -3433483, -3433485, -3433487, -3433489, -3433491?\n\"Answer: -2*b - 3433479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(1\/4)*u*u*u\/(u**(1\/6)*u)*u)\/(u**(2\/5)\/u)**3*(u**(1\/3))**(-16)*u*u**(4\/5)*u**2 assuming u is positive.\nAnswer: u**(97\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 79841365 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 17*k + 6. Let o(l) = 340*l + 119. Let w(h) = -h**3 - 6*h**2 + 6. Let x be w(-6). Let m(g) = x*o(g) - 119*u(g). Let d(n) = n**2. Calculate d(m(z)).\nAnswer: 289*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: 27 + 42 + (-9 - 77)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 621888 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10226, 20451, 30676?\nAnswer: 40901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10012 (base 4) to base 6\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/5)\/((-130)\/(-1300)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -1 (c) -100\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*g + 3. Is 10 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 675400 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrjj when four letters picked without replacement from jjrjjjjjjjjjjyjyz.\nAnswer: 143\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-56)\/16*4\/(-7). Let p = -4\/149 + -262\/1341. Which is the closest to 1\/5? (a) p (b) -7 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, f: 2}. What is prob of sequence ddd?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.0104 times -0.1679\nAnswer: -0.00174616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-104)\/256*-8 + -3. What is the nearest to 1 in 4, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -u + 6. Let h(v) = 31*v + 0*v**2 - 34*v + 2*v**2. Give h(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7783367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -243 - -266. What is the remainder when 65 is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.13 or 29\/31?\nAnswer: 29\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -23. Let z = 0.06 + -0.01. Let b = z + -0.1. Is d less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53467 and 77464?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 313.5 + -313.5000009266. Round r to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 - 3)*(3*b + 7*b - 4*b).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -42*z + 1. Let w = 508\/9 + -67024\/1197. Let t = -6183\/1330 - w. Calculate the common denominator of k(-1) and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -i - 4*d, 3*d - 16 = -i - 0*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*z - 6*z - 8*z - 8*z + 5*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8987?\nAnswer: 11, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + 7\/(-3))*(-22 - -10). Suppose s*r - 460 = -r. Is 36 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -y + 3. Suppose 0 = -2*s + 6*s + n - 123, 0 = -2*s + n + 69. Calculate the remainder when s is divided by 32\/3 - y\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54515.\nAnswer: 5, 10903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 236435990 to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16487304133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 165466, 165477, 165488, 165499, 165510?\n\"Answer: 11*j + 165455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 476, -1.\nAnswer: -1, 2, 5, 476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -784*k + 420*k + 361*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13150 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186666 divided by 1174.\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-230)\/(-23) + 1 + -3 - -2. Suppose -t - r = 2*v, -2*v = 7 + 3. Let w be (-10)\/65*6\/(-4). Which is smaller: t or w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g - g + 0*g - 2*g - 1 wrt g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -643*z + 1 - 1.\nAnswer: -643*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-24)\/(-9))\/((-14)\/(-63)). Let b be (s\/8 - 2)*-80. Let q be (-16)\/(-12) + b\/(-3). Is q bigger than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -19*d**4 + 7*d**3 - 16. Let u(j) = -6*j**4 + 2*j**3 - 5. Let r(i) = 14*u(i) - 4*y(i). Differentiate r(l) with respect to l.\nAnswer: -32*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6794121209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**6\/120 - n**5\/20 + n**4\/8 - 20*n**2. Let b be o(2). Factor 6*s**3 + 4*s**2 + 11*s**2 + 15 - 30*s**b - 5*s - s**3.\nAnswer: 5*(s - 3)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*j - 31*j - 58 = 0. What is the remainder when j is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -711*o + 263. Let y(i) = 718*i - 262. Let x(r) = -3*p(r) - 2*y(r). What is the first derivative of x(s) wrt s?\nAnswer: 697","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14\/6)\/(-12 - (-259)\/21). Which is the biggest value? (a) i (b) -2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5 + 21. Suppose -h = -2*a - 10, h - a - 16 = 3*a. Suppose h*f - u = -1. Solve 0 = -m + f - 7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q + 5*q - 286. Suppose -2*l - 12 + q = 0. Factor -18 - 55*i - 20 - 13*i**2 + 8 + 5*i**3 - l*i**2.\nAnswer: 5*(i - 6)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r + 1. Let u(w) = 3 + 2*w + w - 2 + 0*w. Calculate -2*h(x) + u(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/(s**(2\/61)\/s))*(s*s\/(s*s**39)*s)\/s*s**(-5)*s*s**(-10))**(-1\/3) assuming s is positive.\nAnswer: s**(3170\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -41*r**2. Let m(s) = 4*s**2. Calculate l(m(n)).\nAnswer: -656*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 410.004 + 0.996. Let v = g - 411.224. Round v to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 2\/3 (c) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5*sqrt(27)*-2)\/(sqrt(243)\/sqrt(3)))**2.\nAnswer: 2500\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.16 - -0.04. Suppose 14*r + 6*r = -57 - 3. Let l = 0.8 - -0.2. What is the nearest to r in f, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2001413204 + 12?\nAnswer: 2001413221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 323020201 + 1?\nAnswer: 323020202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence is when two letters picked without replacement from skskdskrrdsi?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5956, 11916, 17876?\nAnswer: 23836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/5840 and 163\/16320.\nAnswer: 1191360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1e17 (base 16) to base 7\nAnswer: 31313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -35 - (-1 - -3 - 4). Let q be (-1974)\/z - 6\/(-33). Suppose -v + 4*h + q = 0, -5*h - 105 = -2*v - 2*h. What is the remainder when v is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000214465 rounded to five decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - (-35 + 13)) + -16?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -32*b**2 + 125*b + 10. Calculate i(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 97325351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**2 + 4928380*a - 6072232356100 = 0?\nAnswer: 2464190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-16)\/b**(-22)*(b*b*b*b*b\/((b**(-2)*b)\/b)*b*b)\/(((b**(2\/3)\/b)\/b*b*b)\/b) assuming b is positive.\nAnswer: b**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -452 - -452.2. What is the closest to 5 in r, 0.03, 2\/21?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**4\/4 + 155*t**3\/6 - 5*t**2 + t. Let b be l(25). Put 1, b, -3, 11 in decreasing order.\nAnswer: 11, b, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 194219, 194227, 194317, 194531, 194911?\n\"Answer: 7*s**3 - s**2 - 38*s + 194251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -6658550 and -6658553 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1973646?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 - (-2 - 9) - 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -31845.31 rounded to the nearest ten?\nAnswer: -31850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -50 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**4\/5 + 1324*s**3\/5 - 65676*s**2\/5 + 228964*s - 1315600 = 0. What is s?\nAnswer: 13, 20, 23, 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3862.315ml in litres?\nAnswer: 3.862315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3, -3*c - 2*m = -0 + 3. Let b = c + 6. Calculate the smallest common multiple of 2 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u - 14. Let a(o) be the second derivative of -5*o**3\/6 + 29*o**2\/2 - 2*o. Let j(b) = 6*a(b) + 13*f(b). Let l be j(3). Which is greater: -18 or l?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.463, 2, 0.06, -1 in descending order.\nAnswer: 2, 0.06, -0.463, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*h**5)*h\/(h*h**(-2))*h)\/(h**(-1\/2)*h)**18 assuming h is positive.\nAnswer: h**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4 - 0. Suppose a*r - 7 = 13. Suppose -12*g - 57 = -15*g. What is the remainder when g is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-3) - (-630)\/189. Suppose -o*v + 4*k + 1116 = -4*v, -2*k - 2232 = -2*v. Is v a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(525\/(-10))*70\/42.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 39\/52 - 114\/(-8). Solve 5*k + b = -0*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence njn when three letters picked without replacement from {n: 2, j: 4, s: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 19 = 7, -5*v - 32 = 4*u. Let z be v\/8*2 - -5. Solve w + 2 - z = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 3) + 1 + 1. Let f(g) be the second derivative of -g**4\/12 + 28500*g**2 - g. Let a be f(r). What is a rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136 and 68?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 10*u**2 - 5*u - 4. What is t(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/9)\/(1\/(-3)). Let m be 1 - 1*(q + -2). Suppose m*l = -0*l + 8. Sort -3, l, -5 in increasing order.\nAnswer: -5, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-95))\/((1\/(-5))\/(512\/1536)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 336039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1561207 is divided by 223026?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**3 + 6*l**2 - 14*l + 13. Is y(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 435670\/191 + -2281. Suppose 7*q + 95*q = 102. Which is greater: q or t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65072826 divided by -10845471\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70.4 - -61. Let o = -9.4 - l. Which is the nearest to -2\/7? (a) o (b) 8\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -589 + 588. Put -2\/15, -74, l, -4 in increasing order.\nAnswer: -74, -4, l, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 5*i + 12, 60 = a + 4*a + 5*i. Let j = a - 4. Suppose 5*c + 11 = q - 8, -j*q + 4*c + 95 = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/13))**19)**(35\/6) assuming q is positive.\nAnswer: q**(665\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 373366422?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2 - 5*g - 6. Let h be c(3). Find the third derivative of 8*d**2 - 2*d**2 - 28*d**6 + 44*d**h wrt d.\nAnswer: 1920*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -11*j**2 - 9*j + 1 - 18 + 10*j**2. Let b be v(-7). List the prime factors of b\/4*-4 - (-2 + -7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 11934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 215, 351, 485, 617, 747, 875, 1001?\nAnswer: 1125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.21 * -30\nAnswer: -6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-5) - 103*((-17)\/((-1530)\/(-1062)) - -12).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -358.2 * 254\nAnswer: -90982.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 735936 and 38330?\nAnswer: 3679680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, l: 2, s: 6, r: 1, n: 1}. What is prob of sequence sy?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i - 522 = -47*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*sqrt(39)*4)\/sqrt(3)*-4.\nAnswer: 400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-4) + 2\/(-8). Suppose -4*x + 8 = 2*s, -x = 3*s + q*x - 24. Suppose -f = -0*f + 4*b - s, 0 = 5*f - 5*b - 160. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2306, -0.6, 0, 2\/7, -0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h = -0 + 30. Does 13 divide (h + -2754)\/((-12)\/6) - 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 6*h. Suppose h*a + 35 = 5*a. Let j = a - 1. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**3 - 5*f**3 + 3*f**3)*(-3*f - 2*f + 2*f)*(-21 - 2 - 47).\nAnswer: 210*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11167 and 520?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*c + 87161 = 0, 0 = -15*c + 10*c - 5. What is the ten thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 + 294577404*j - 7231320578948268.\nAnswer: -3*(j - 49096234)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -6\/115925 in ascending order.\nAnswer: -4, -6\/115925, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 87 + 193*p + 192*p - 380*p + 157 - 74. Give n(-35).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1 + 7 - 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 2:59 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -4*n**3 - 43628*n**2 + 87268*n - 43636 = 0?\nAnswer: -10909, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(18\/(-34107))*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.084 + -0.016. Let j = y - -5. Which is the closest to -0.1? (a) -4\/9 (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o - 3. Let i be (2 + 1)\/(3\/6). Let u(b) = i*b - 3 - 4 - b. Suppose 0 = -0*h - 2*h + 18. Calculate h*f(a) - 4*u(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86771.44 years to months.\nAnswer: 1041257.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363 is divided by 325.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*l*v**2*x**3 + 271*l*v**2*x**2 + l*v + 2*l*x**3 + 59*l*x**2 + v*x + 15*v - 2*x**3 wrt v.\nAnswer: -76*l*x**3 + 542*l*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211010 + 11?\nAnswer: 1211021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -138460 rounded to the nearest one thousand?\nAnswer: -138000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by (3 + 44)\/(1 + 0) + -5.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2042410 - -4?\nAnswer: 2042414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -6*t**2 - 915. Let n(i) = i**2. Calculate z(n(o)).\nAnswer: -6*o**4 - 915","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*5\/10*-2. Let z = q - -8. Solve -3*h = 5*b + 28 + 9, 12 = 2*h - z*b for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 14073806068650 and 0.\nAnswer: 14073806068650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/5 of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 644 (b) 4\/7 (c) -5\/6 (d) 1\/606 (e) -1\/4 (f) -4 (g) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 - (-4 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65979425.\nAnswer: 5, 2639177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 11449*y + 17 - 6.\nAnswer: 11449*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 65756\/9 - (-16)\/(-72). Let w = l - 284906\/39. What is the common denominator of w and -145\/6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) -2\/99 (c) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + (-3 - (1 - 0)) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111110010 + 0?\nAnswer: -101111110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*(sqrt(132)\/(sqrt(36)\/sqrt(3)) - sqrt(11)) + -5) + -1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1088727925?\nAnswer: 5, 139, 173, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/3)\/((21\/(-189))\/((-2)\/6))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + (66\/3 - -3). Find the common denominator of 350\/q - (0 - (0 - -1)) and -41\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 27 = -5*u, 9 = 3*u - u - a. What are the prime factors of 3*1\/(u\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -365 (base 10) to base 9\nAnswer: -445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5615318 or 5615323?\nAnswer: 5615318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53720 is divided by 53607?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 46806983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -152638, -610569, -1373794, -2442313, -3816126, -5495233?\n\"Answer: -152647*t**2 + 10*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2 + sqrt(117) - sqrt(117) - sqrt(117))**2.\nAnswer: -12*sqrt(13) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7 + -4 + 25)*2\/8. Suppose 8*l - d - 1 = 0. Let x be (-1 + 2)\/(2*l\/2). Let g(f) = -9*f**3 - 2*f**2 + f. Calculate g(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**2 + 195483*g + 195486 = 0. Calculate g.\nAnswer: -1, 65162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 2*i + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (645*i + 937*i - 846*i)*(2*i - i + 2*i).\nAnswer: 2208*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*a)*(-474*a + 14*a**2 + 474*a)*(-4*a + 0*a + 5*a)*(0 - 1 - 5).\nAnswer: 168*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 7 + -20 + -10.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -122, -156?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 9*i - 1 - 4*i)*(5*i - 5*i - 2*i**4).\nAnswer: -2*i**5 + 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 366\/(-70)*(-14)\/42 and 79\/60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-238)*(-2254)\/6440.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54404 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) -1 (c) 1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3210*u**2. Let d(x) = x**2 - 24. Let i(q) = 6*q**2 - 96. Let m(a) = 4*d(a) - i(a). What is m(o(t))?\nAnswer: -20608200*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 20 = 5*f, -5*i = 2*f + 6 + 2. Is i > 39\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -270 + 269.999032. What is s rounded to five dps?\nAnswer: -0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 345 = -l - k, 4*l - 4*k = 1500. What is the greatest common divisor of l and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -672 - -682. Let p(v) be the first derivative of -v**5 + 5\/3*v**3 + 0*v**4 - g + 0*v**2 + 0*v. Suppose p(d) = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**2 + 3*x**2 - 2*x**2 - 4*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 15*z**2 - 19*z - 22. Let h = 127 - 141. Is 8 a factor of k(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 310 or 311?\nAnswer: 310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 2:17 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3 + (sqrt(8)\/sqrt(2) + sqrt(4))\/sqrt(2)*5 + (-1 + sqrt(288) + -1 + 3)*5.\nAnswer: 4 + 70*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 204330 or 205547?\nAnswer: 205547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0925552364 to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 116 + -105.6. Let u = y + -7. Round u to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 1 + 23 = 4*f, -z = -f - 3. Let p be (16\/2)\/(2 - f). Let t(u) = 7 - 2 - p*u - u**2 + 4*u. Determine t(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 2*d - 2*d)*(-1 - 2 + 4) - d - 2 + 2 + (5 + 4 + 0)*(d - 2 + 2).\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*3)\/(-20*(-6)\/((-528)\/(-22)))?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 302 = 3*i + 3*s, 0 = -i + 3*s + 105. Let u = 1731 - 1725. Calculate the highest common factor of u and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 6*o**2\/7 + 272*o + 634\/7 = 0.\nAnswer: -317, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54716339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -2, 0.21, 4, 0.\nAnswer: -2, 0, 0.03, 0.21, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22453\/2 or -11227?\nAnswer: -11227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*i + 60*i - 130*i + 18 = v, -5*v + 120 = 5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m + 1. Suppose -3 = 2*u - 5*u. Let o be t(u). Let y(p) = -p + 38*p**3 + p**2 + 4*p**2 + 2 - 39*p**3 + 0*p. Give y(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, -5, 6, -7, 21 in increasing order.\nAnswer: -7, -5, 4, 6, 7, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -11*u**2 + 0*u + 0 - 1\/60*u**6 - 5\/12*u**4 - 1\/5*u**5 + 0*u**3. Factor i(q).\nAnswer: -2*q*(q + 1)*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 f when two letters picked without replacement from {l: 2, f: 11, i: 2}?\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 642.2 + -642. Put -2\/15, u, 1\/9, -2 in decreasing order.\nAnswer: u, 1\/9, -2\/15, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(1\/5)\/i)\/i*i)\/i*i)**(24\/5))**(-39\/4)*(i**(-1\/4)*i)**(-2\/153)\/(i**(-1\/8)\/(i**(-2)*i)) assuming i is positive.\nAnswer: i**(372863\/10200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 11559791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((7 - 2 - 3)*(-2*m + 0*m + m) + (3 - 3 - 3*m)*(-4 + 0 + 2))*(-231*m + 44*m - 271*m) in the form s*m**2 + b + c*m and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50225375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*x - 2*n + 10, x - 3*n = -15. Suppose -2*o + 0*o + k + 101 = x, o - k = 50. Factor -o*s + 21*s**2 + 18 - 24*s + 6*s.\nAnswer: 3*(s - 3)*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 29*z + 32. What is r(-2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 9*b**2 + 10*b + 2. Let d be r(-10). Let x be (-1)\/2*d*-3. Suppose x*o = 4*o. Put o, 5, -3 in descending order.\nAnswer: 5, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drrhhddrrrdhlrrhlh. Give prob of sequence hlhl.\nAnswer: 1\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 256 and -0.4.\nAnswer: -102.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 30010 to the nearest one thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 - 237143?\nAnswer: -237156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-8))\/((-3)\/(-24)). Let p(j) = 6*j**3 + j - 4*j**3 + 2 - z*j**3 + j**3. Calculate the remainder when p(0) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**8*j)\/(j**(-6\/5)*j)*j**(8\/3)*j*j*j*j**(-1)*j)**(-2\/7) assuming j is positive.\nAnswer: j**(-446\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**6\/b*b))\/b)**(-6\/5)\/(b\/(b**(-1\/3)\/b)*((b**(-24)*b)\/b)\/b) assuming b is positive.\nAnswer: b**(448\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1889, -9436, -29917, -69800, -135553?\nAnswer: -233644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225*z = -5*y + 222*z - 635, -5*y + 2*z = 635. What is the third biggest value in -0.4, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -147*r**5 + 91644*r**4 - 13848651*r**3 + 72199902*r**2 + 44657148*r + 6541704 = 0.\nAnswer: -2\/7, 6, 241, 377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/((a*a*a\/((a*a\/((a\/((a\/a**(-8))\/a))\/a))\/a*a))\/a*a))\/(a\/(a\/(a**(-2\/7)\/a))))**4)**50 assuming a is positive.\nAnswer: a**(13000\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2811416 a multiple of 1117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*w + 0 - 31\/4*w**3 - 1\/4*w**2.\nAnswer: -w**2*(31*w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*s - 4*s - 16*s**2 - 24*s**2 + 13*s**2 wrt s.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, q: 3, n: 1, d: 2}. What is prob of sequence ngg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 49*a + 7\/36*a**4 + 19\/18*a**3 + 0 - a**2. Factor t(b).\nAnswer: (b + 3)*(7*b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/163, -0.1, -3, 0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127309831 is divided by 209.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.11 + -3.89. Let u = -0.13547 + 2.03547. Put z, 0.4, u in descending order.\nAnswer: u, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 899352523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9652 + -9cf?\nAnswer: 8c83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (30\/24)\/(-4 - 24369\/(-6092)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1494270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 283604*f**2 + 164469*f**2 - 9.\nAnswer: 448073*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -2\/5 (c) 65 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 19 + 7, -f + 2*w = -4. Let q = f + 6. Let x(l) = q*l**2 + 2 - 2. Let r(p) = 3*p**2. Calculate r(x(k)).\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1533*f - 1253*f + 113*f - 2536*f - 1062*f)*(2 + 1 - 2 + (1 + 1 + 0)*(3 + 3 - 5) + 0 - 15 - 3 - 5 + 0 + 4) to the form z*f + j and give z.\nAnswer: 100336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-5) - (2 - 7 - -9). Let q(t) = t**3 - 5*t**2 + 6*t - 5. Let m be q(4). Let x be (8\/(-6))\/(2\/6). Sort m, x, w.\nAnswer: w, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 376*j**2 - 183*j**2 - 194*j**2 - 2149 - 20*j**5 - 9*j**5 + 8*j**3 wrt j.\nAnswer: -1740*j**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*u = -194*u - 13530. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 353524 divided by -4.\nAnswer: -88381","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 2, l: 1, w: 2, c: 1, k: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**2 - 9*i. Let s(v) = -v**2 - v. Let u(y) = 18*s(y) - 2*w(y). Let j(n) = -n. What is j(u(q))?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, d: 3, v: 1, h: 1, u: 3}. Give prob of sequence iui.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 28. Suppose h + 3 = -s - 1, u*h = -s - 8. Suppose b + b - 262 = s. What are the prime factors of b?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 0.12973?\nAnswer: -0.25946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2479*t**3 - 8*t**2*y - 2048*t*y - 52*t wrt t.\nAnswer: -14874*t - 16*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or 53?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(28) + sqrt(84)\/sqrt(3))*-3)\/((sqrt(4) - (sqrt(16) - -2*sqrt(16)))*4).\nAnswer: 6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {u: 1, w: 3, v: 4, n: 1, g: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/12 + 6\/8. Suppose 0 = -5*f - 5*t, i*f + t = -3*f + 6. Suppose f*s + 4*h + 8 - 24 = 0, -s - 2*h = -6. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/((-9)\/1082))\/(36\/(-162)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1502*y**3 + 1512*y**3 + 28427*y - 28422*y.\nAnswer: 10*y**3 + 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 divided by 1.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 83\/7 + 65\/(-35) + 2. Let z = -11 - -15. What are the prime factors of (z - (-2 + 2)) + -3 + o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4761 - 47574.\nAnswer: -47574.4761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.9 and 5584089.\nAnswer: 5025680.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 28 = -b + 34, -b - 3*q + 72 = 0. What is the greatest common divisor of 19 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10919, 4, 3\/2 in increasing order.\nAnswer: -10919, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + j + 25. Is 5 a factor of k(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*d + 5 + 0 = 0, 2*g - 5*d = 18. Let y = g - 5. Is (-41)\/2*(y - 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51b88 (base 16) in base 8?\nAnswer: 1215610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13887 + -13886.8. Which is the closest to m? (a) -0.135 (b) -2 (c) -2\/13 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - 35. Let r be 1*(o + 74*-2). Is 4\/(-8)*(r - -1) - -3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 64 - 75 + 15*u + 7 as c*u + j and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0*(-1)\/(-3))\/4. Let j(r) = -5 + 4*r + 9*r**2 - r + 0*r**3 - 4*r + r**3. Let s be j(-9). Sort s, h, -4 in descending order.\nAnswer: s, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -25.07?\nAnswer: 75.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 15*w**2 - 33*w + 17. Let j be p(-17). Which is greater: j or -2\/2609?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 6*u**2 + 4. Let y be 18\/(-3) - (0 - 0). Let x be f(y). Let p(z) = -z**2 + 5 - 1 - x. Let s(k) = -3*k**2. What is s(p(r))?\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61068960, -61068958, -61068956?\nAnswer: -61068954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2273 is divided by 164?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -8*q. Let w(n) = 11*n**2 + 8*n. Let g(f) = 7*f**2 + 5*f. Let k(o) = -8*g(o) + 5*w(o). Determine k(i(l)).\nAnswer: -64*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 21 - 9 = 4*o, b = o - 15. Calculate the remainder when 82 is divided by (b\/5 - 2)*(-42)\/8.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l. Let j(u) = -608*u + 6798*u**2 + 541*u + 67*u. Determine d(j(g)).\nAnswer: -20394*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 4*o. Let r(b) = -5*b**2 + 18*b + 1. Let u(w) = 9*j(w) - 2*r(w). Let g be u(-5). What is the derivative of 7 + 6 + 11*z**3 + g*z**3 wrt z?\nAnswer: 102*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4\/7 + -1\/14. Which is the third biggest value? (a) u (b) 0.03 (c) 0.3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhgghghhhhhhhh. Give prob of sequence hh.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33302012 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 651 (base 7) in base 8?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -1 (b) -0.06 (c) 105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 320702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 0.2, 0.111?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26661304?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*(-70)\/(-21)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3 = -0. Let m = -7 - c. Let i(x) = -2*x**3 - 7*x**2 - 5*x + 2. What are the prime factors of i(m)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004569646542 to six decimal places.\nAnswer: -0.00457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 11*a - 15. Let w be n(-9). Suppose 3*f + k = 601, -5*f - w*k = 574 - 1577. Is 27 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -5860*t + 310570. Determine l(53).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -24. Let g = -1224 + 1223.7. Sort -2, c, g, -4\/5 in increasing order.\nAnswer: -2, -4\/5, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -671\/5 in 0.2, -3, -2\/11, 2\/13, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = 15*w - 57. What is the greatest common divisor of w and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.421 + 0.821. Sort v, 4, 2\/25.\nAnswer: 2\/25, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**2 + 2758*b - 1901641 = 0?\nAnswer: 1379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/110593 and 36\/259.\nAnswer: 110593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -4. Suppose -i = 5*y - 4 - 6, 26 = c*y - 4*i. What is the units digit of -1 + 5 - 6\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -976 - -974. Suppose z = 2*z - 10. Sort z, a, 4, 5 in ascending order.\nAnswer: a, 4, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 at most as big as 232\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 2:13 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.2512 milligrams in nanograms?\nAnswer: 7251200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i + 1. Let f be l(2). Suppose 70*c - 111*c + 2009 = 0. Put c, f, 0 in decreasing order.\nAnswer: c, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -825832?\nAnswer: 825831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 a, and 1 l when four letters picked without replacement from aalljlljajljjjjj.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.4159027 nanograms?\nAnswer: 0.0000000004159027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**2 - 210*j - 2885. Give m(-52).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 50. Let b = i + 23.1. Sort b, -1\/5, -3\/5.\nAnswer: -3\/5, -1\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/14138 and -79\/32.\nAnswer: 226208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 + 90. Suppose -2*v - 5*r + 42 = 0, -3*v - r - 63 = -6*v. Calculate the remainder when m is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-1\/4)\/q)*q)**(16\/7))**(-2\/13)*(q**(-4\/3)\/(q*q\/q**(-2\/7)))**(-3\/4) assuming q is positive.\nAnswer: q**(11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3\/3 - 1765285*y**2\/3 - 51935125960*y + 363574715280.\nAnswer: -5*(y - 7)*(y + 176532)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 96116503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3760323293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2)\/l*(l*l**(-7\/3)*l)\/l*(l**0)**36 assuming l is positive.\nAnswer: l**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 8*x + d = -98, 4*d - 37 = x. Which is the second biggest value? (a) x (b) 0.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 + 6*t**2 + 35*t**3 - 3*t**2.\nAnswer: 35*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l\/l**1*l)**(-21)*l**2\/(l**1\/l) assuming l is positive.\nAnswer: l**(-61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b + -4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 7*g = 4. Does 12 divide (-26 + -70)\/(g\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28727, -56867, -85007, -113147, -141287?\nAnswer: -169427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1220*d - 610*d + a - 5 = 607*d, -3*d = 112*a - 560 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -501 (base 11) to base 8\nAnswer: -1136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 51, 1664, -18 in ascending order.\nAnswer: -18, -1, 51, 1664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 take away 0.02090344529?\nAnswer: -0.07090344529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 + -127 + (-6 - -4) + -76?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s = 4*s - 2*s. Is -4\/3 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*j + 24 = -24, 0 = -3*j - 15. Suppose m*g = 17*g + 294. Calculate the remainder when g is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2983*r**2 - 19*r + 191. Is l(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4687, 4043, 2971, 1471, -457, -2813, -5597?\nAnswer: -8809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 8:29 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22188093*x**3 + 242*x**2 - 2*x + 858.\nAnswer: 133128558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-58)\/(-464) - ((-983)\/8 + -1). Calculate the highest common divisor of 10261 and o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*s = -2*l + 11, 0 = 2*l + 5*s + 16. Let h(a) = -2*a**2 - 3*a + 2. Give h(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -122134723651 and 0.19.\nAnswer: -122134723650.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 292, 289, 284, 277?\n\"Answer: -h**2 + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.4 (b) -1\/3 (c) 4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 485*a**2 - 981*a**2 + 494*a**2 + 34 - 58 - 2*a - 37 in the form s + i*a**2 + h*a and give s.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 149839, 149812, 149783, 149752, 149719?\n\"Answer: -r**2 - 24*r + 149864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.094, -4, 1 in descending order.\nAnswer: 1, 0.094, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 172*u + 4 = -174*u, 5*r + 6 = 4*u for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntkntndkfknrkdndt. Give prob of picking 1 n and 2 k.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -631*v**5*z**3 - 2*v**5 + 5806*v**2*z**3 wrt v?\nAnswer: -37860*v**2*z**3 - 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/9)*p*p**(-6)*p)\/((p\/p**3)\/(p*(p\/(p\/(p\/(p*p**(3\/4)))))\/p))*((p\/((p**(-1\/2)*p)\/p))\/(p**(-1)*p))**(-35) assuming p is positive.\nAnswer: p**(-1993\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 128667 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: What is the common denominator of -19\/66 and 16\/121?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11\/(-9) - 6\/(-27). Let p be (c - -1)*(-2)\/(-4). Suppose s + p*s - 6 = 0. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(u**(3\/5)\/u)\/u*u*(u**(-10)*u)\/u assuming u is positive.\nAnswer: u**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 0*s**3 + 5\/12*s**4 + 0*s**5 + 0*s**6 - 3*s + 0*s**2 + 1\/14*s**8 + 0 + 0*s**7. What is the third derivative of l(h) wrt h?\nAnswer: 480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 0)*7*7. Let g = b + 54. Suppose 3*f + g*u = 0, -5*f + u + 31 - 3 = 0. Solve -f*q = 4*j + 30, -5*q = 5*j + 43 - 8 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 11*g**2 - 5*g - 17. Let a be k(-10). Let w = 275\/2 - a. Do 4 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 3*x - 12, 68*d = 71*d - 3*x + 18 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 87541462 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -337859\/3 smaller than -112621?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 0*d**4 - 3\/5*d**5 - 3\/2*d**2 + 0*d**3 + 2 + 0*d. Find the second derivative of h(w) wrt w.\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9375 + 9375.02066. Round a to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78652\/23 or 3420?\nAnswer: 78652\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 59459 and 4745?\nAnswer: 282132955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 69827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a**2 - 60*a - 8. What is the remainder when 931 is divided by t(15)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 53? (a) 1 (b) -9 (c) -2 (d) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.6, -4, -2\/3, 0.4, 2\/167, -1\/6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 5, -190, 3 in increasing order.\nAnswer: -190, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.56735 to 0 dps.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/15)\/(-1))\/(44\/88).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.2, -488, 29111.\nAnswer: -488, 0.2, 5, 29111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/70 + (-4)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -92589, -92407, -92211, -91995, -91753, -91479?\n\"Answer: u**3 + u**2 + 172*u - 92763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/2 - (-25263)\/18. Suppose 2*h - 1068 = -3*l, 4*l - 11*h = -7*h + m. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 9.65.\nAnswer: 10.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3 = -5*i, -5*i + 0 + 9 = -2*r. Let q be (-2)\/(0 + -2) - i. Solve 0 = -q*u + 5*u + 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + 8 + 42 + -20 + -26?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 11:27 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence becs when four letters picked without replacement from {b: 1, c: 1, e: 1, n: 1, s: 4}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 330054166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 597529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21775127 - 21775127 + 21*d.\nAnswer: 21*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 - -67. Let t be y\/108 + 0 + 0. Factor -t - 4\/9*u - 2\/9*u**2.\nAnswer: -2*(u + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -373358*l*s**3 + 2323*l*s**2 + 5*l*s - 3*s**2 + 5 wrt s.\nAnswer: -2240148*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 7:22 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (102\/(-414) - 18\/207)\/(1\/(-15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u, -5*u = 5*q - 1553 - 582. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4 greater than or equal to -104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/28)*c)\/c)\/(c\/(c*c\/(c*c**24)*c)) assuming c is positive.\nAnswer: c**(-645\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j + 0*j + 0*j + (-5*j + 3*j + 4*j)*(1 - 1 - 2) - 6*j + 3*j - j - 2 - 2*j + 2 + (2*j + 0*j - j)*(1 - 4 - 1) in the form n + l*j and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 355830144 to the nearest integer?\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1411 - 8353\/6. Let c = -2403507\/20 + 120128. Let y = -143\/4 - c. Find the common denominator of u and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 280, 286, 292, 298, 304?\n\"Answer: 6*x + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -17210 and 80359969.31.\nAnswer: 80342759.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -176.7 + 178.7. Let u = -6.97 - 0.03. What is the biggest value in -3\/7, r, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2)\/k)**(-11)\/(k*k**4*k*k*k*k**0*k) assuming k is positive.\nAnswer: k**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1584*k + 3166*k - 1588*k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggvggvg. What is prob of sequence gggv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-10 - (-1 + -9 + 11))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -9126*n - 15951. Let l(c) = 1825*c + 3183. Let i(g) = 14*l(g) + 3*r(g). What is the first derivative of i(f) wrt f?\nAnswer: -1828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4 + 1 - 2 + p. Let h be s(7). Suppose -5*n - q - 3*q - 16 = 0, 4*n = 5*q + 20. Solve j + 2 + h = n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 3475542.\nAnswer: 3475542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 2*p + 45. What is the least common multiple of p and (8\/6)\/((-4)\/(-18))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20.99009 - -7.\nAnswer: -13.99009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*v = -15, 0*c = -c - 5*v + 3. Suppose -4*a = 2*p - 4, -c*a - 3*p = -2*a + 9. Solve -y + 3*i + a = 11, 0 = 3*y - i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 662973 and 411342?\nAnswer: 1149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5160 (base 10) to base 13.\nAnswer: 246c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1179 - 2.4.\nAnswer: -1181.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5 = 0, -z - 15 = -q + 5*q. Sort z, -8, 2.\nAnswer: -8, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*n**2 + 3*n**2 - 5*n**2)*(-48 + 381 - 734) to x*n**2 + r + z*n and give x.\nAnswer: 6015","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 385456170 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 q when three letters picked without replacement from qqqqqqthqhtqhqhhqhq.\nAnswer: 110\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {g: 6, w: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/8)\/((-9)\/(-6)). What is the second biggest value in -3, g, 2\/11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (255396\/(-20))\/(-7 - (10 + -20)). Which is smaller: -4257 or l?\nAnswer: -4257","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 + 441?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dje when three letters picked without replacement from {d: 3, e: 3, j: 4, r: 4, k: 1, l: 2}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trpxttpptpptpwtxr. What is prob of picking 1 x and 1 p?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12560 and 100480.\nAnswer: 100480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 33*c + 2*c**2 - 33*c - 2*c**3 + 2. Let j(l) = -l**3 - 11*l**2 - 2*l - 10. Let s be j(-11). Let v = s + -10. Give y(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2 + 57*m - 128. Let d be g(26). Let s be (4 - (-143)\/(-39)) + 14\/30. Factor 4\/5*u**5 + 0*u + 4\/5*u**d - s*u**3 + 0 - 4\/5*u**4.\nAnswer: 4*u**2*(u - 1)**2*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117 divided by -187431.\nAnswer: 39\/62477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*y, d = -0*d + 2*y + 17. Suppose -2*x = -i - 10, -d = 3*x - 0*x + 4*i. Is 2 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 50\/108 - 2\/4. Let g = 191824 + -191824.5. What is the third biggest value in i, -5, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 33*m - 912. Let g(n) = 11*n - 304. Give -7*g(u) + 2*r(u).\nAnswer: 2*u**2 - 11*u + 304","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 7:45 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -336.663 - -336. Round d to 2 decimal places.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 + h. Let c be i(-2). Let z = 21 + c. Find the third derivative of 0*m**3 + 0*m**z + 15*m**2 - 7*m**4 wrt m.\nAnswer: -168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4447.5 and 0.5665.\nAnswer: -4446.9335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*a + 13*a - 16. Let m = a + 11. Calculate the remainder when m is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/1016 and 101\/5334?\nAnswer: 21336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9\/32750 + 86525599\/360250. Let r = j - 240. Let q = 1976.1 - 1976. What is the biggest value in q, 0.4, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -7*z + 2*z + 14 + 4*z. What is the units digit of b(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjjlcjjjjcljlhljl. Give prob of picking 2 h.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 7*l + 5*w + 4, -5*l + 3*w = -32 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1137 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 7:32 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -590, -4937, -16988, -40673, -79922, -138665?\n\"Answer: -655*b**3 + 78*b**2 + 4*b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 34 - 12 = -3*i, -i = -3*j + 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 781*z - 3. Let n(b) = 11*b**2 - 2*b. Determine x(n(h)).\nAnswer: 8591*h**2 - 1562*h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1176 - 440 - 549 = -62*j + 1245 for j.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 c, and 1 i when three letters picked without replacement from toincco.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (98736\/(-153))\/88*(-6)\/209?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 4*i + 2. Let n = 24 - 27. What is r(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3241, -22 in decreasing order.\nAnswer: 3241, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 3 = 9*c. Solve 21 = -3*s + c*z, 4*z - 2 = -s + 6 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 43 + 53 - 21 + 16 - 8*r + 64 in the form j*r + k and give k.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 66 divided by 3565703\nAnswer: 66\/3565703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.235 - 0.235. Which is the nearest to -3\/4? (a) 2\/13 (b) 1\/7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8497 or -8496?\nAnswer: -8497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03 + 3.97. Which is the third smallest value? (a) 0.9 (b) j (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5345012 to two decimal places.\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**2 - 733 + 733.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 425264 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1520991001.\nAnswer: 1520991001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 148502 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 329761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/7, -4, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = 4*k - 5*w, 5*w - 30 = 3244*k - 3246*k for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**4 - 7*d**3 - d**4 - 4*d + 6*d - 3 as n + o*d**2 + m*d + t*d**4 + z*d**3 and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2806 = -4*c, -5*c + 5*h - 4*h + 3497 = 0. List the prime factors of c.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39646453 divided by -7\nAnswer: 5663779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 328849163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3 = -5*h - 0, k - h = 0. Suppose k*u = 5*i - 30, -3*i + 14 = -4*u - 15. Calculate the greatest common divisor of 3 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 (base 15) in base 5?\nAnswer: -1004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -654998*g + 2. Let i be ((-390)\/(-25))\/((-4)\/(-10)). Let k = 38 - i. Let m be n(k). What is m rounded to the nearest ten thousand?\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + -21. Let q = y + 26. What is the nearest to -2\/5 in q, -1\/7, 2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 394260137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (-1 - (1 - 6)). Let t(w) = -w**3 - 3*w**2 + 3*w - 3. Let n be t(d). Which is the nearest to n? (a) -3 (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*a - 28 = -v, -2*a = 4*v - 86. Suppose 4*k - 12 = k. Let r = -1 + k. Calculate the highest common factor of r and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a46 - -634?\nAnswer: -3412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 + (3 - -6) - (-28 + 34)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efeeeefeff. Give prob of sequence fff.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1710 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -229 - -233. Suppose 2*p + 0*v - 5*v = w, 5*v = -p + 17. Solve -q - p + 2 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351*h + 348*h - 24 = 3*c, 3*c + 10*h - 4 = 0 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**18*v**11*(v*v**(-1\/12))**(-4\/9) assuming v is positive.\nAnswer: v**(772\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1.1 (b) -10 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 71*h**3 + 9*h**2 - 46*h + 79. What is the units digit of z(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.4 - 5.4. Let k = -0.12 - -5.12. Sort k, b, -0.4 in descending order.\nAnswer: k, b, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -1\/6 (b) 3\/4 (c) 190 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -146.9 (b) 1 (c) 0.1569\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7, 1, -21, -65, -137, -243, -389?\n\"Answer: -f**3 - 2*f**2 + 7*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -423, -407, -379, -339, -287?\n\"Answer: 6*v**2 - 2*v - 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 times 40089159?\nAnswer: 801783180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 6*z = 32. Suppose -h + z = 20. Let x be ((-8)\/h)\/(3\/9). Solve 3*o + 0*j = x*j, 0 = -5*o + 3*j for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**6\/180 + 17*y**3\/3 - 3*y**2\/2 - 36. Let a(q) be the third derivative of z(q). Let f(j) = -61*j. What is f(a(i))?\nAnswer: -122*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4 - (-1 - (19 - -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269199?\nAnswer: 3, 7, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19420 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x - 6. Let l(q) = -2*q + 17. Let z(h) = 4*l(h) + 11*n(h). Let v be z(6). Suppose 2*j + v = -2*j. Let i(p) = -p - 8. Give i(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 600 and 48150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18297 (base 10) to base 13.\nAnswer: -8436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1692 and 402?\nAnswer: 113364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 187*c + 21 - 17 to u + h*c and give h.\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/5*v**2 + 32\/5*v - 64\/5 = 0. Calculate v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 934406387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 65 - 79 = 0. Suppose 58 = 4*b + 2*i - 24, 3*i + 57 = 4*b. Suppose -n + 108 = b. What is the greatest common factor of n and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i = 12 + 1. Let a = 93.1 + -93. What is the closest to a in -0.1, -13, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 3*f**2 + 3*f - 1. Let p be u(3). Suppose p = 2*r - 14. What is the greatest common factor of r and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.054268 - 402781.9?\nAnswer: -402781.954268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 588, -13, 0, 1, -4 in descending order.\nAnswer: 588, 17, 1, 0, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 82*p**2 + 72*p + 777. Calculate the remainder when 159 is divided by g(81).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6789 + -6786. Solve 15 = -q*t, 4*o - 3*t - 3 = -8 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 8*z + 7. Let c be s(8). Let f(v) = v**3 - 6*v**2 - 5*v - 6. Let r be f(c). Solve i - r = -3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4)*30\/9*(33 - 31).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m + 8*m = -18 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 3*y - 3. Let j be 1 + y + (-19)\/(-7). Let g = j + -151\/35. Which is greater: 0.1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 0*d + 0 - 1\/12*d**5 + 5\/3*d**3 - 5*d**2 + 5\/24*d**4. Suppose b(w) = 0. What is w?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.67 take away 0.3526?\nAnswer: -15.0226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**2\/8 + 1524*u - 1548384 = 0. What is u?\nAnswer: 2032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -9. Suppose 3*p = o - 51, -l*p = 2*o - 35 - 43. Let s be (6\/7)\/((-3)\/(-21)). What is the highest common factor of o and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48800177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/29 - -33\/58. Let 0*x + 0 + u*x**2 = 0. What is x?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6703 in 4, 1\/1874, 1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z**5\/4 - 9*z**4 + 591*z**3\/4 + 647*z**2\/2 + 189*z + 18 = 0.\nAnswer: -6, -1, -2\/17, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -341 (b) -1\/6 (c) 0.06 (d) -4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 391*r + 13965*r - 2*r**2 + 5290*r.\nAnswer: -2*r**2 + 18864*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1726413131?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3923 + 43122\/11. Let b = j + -28\/33. Which is greater: -5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5218 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6236 is divided by 259?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9193483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 614167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -4.241.\nAnswer: 12.723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 6*c - c. Suppose x + c*x = 30. Suppose x*n - n = 0. Round n to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*l + 16. List the prime factors of 2\/l + 2472\/54.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4236219821?\nAnswer: 3557, 1190953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 781 - 789. Let g(f) = f + 10. Calculate g(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-5))\/(((-6)\/(-10))\/(-1))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -95\/8458 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 456669121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294936 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -3)*1 + 1. Suppose 0 = -3*s + r + 27, 3*s = -3*r + 44 - z. Solve 0 = -2*i + 2*m - s, 0 = 2*i - i + 2*m + 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-1 + -3 - -3))\/(-1). Suppose -3*s = k*s + 7*s. Suppose -n + 2571548 + 3428452 = s. Round n to the nearest 100000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvcbbubcuvhhvuvvv. Give prob of picking 3 b.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49410088*5.\nAnswer: -247050440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7890, 15870, 23940, 32094, 40326, 48630, 57000, 65430?\n\"Answer: -c**3 + 51*c**2 + 7834*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*c + 10 = 0, 3*m - c + 2 = -8. Sort m, 0, 2 in ascending order.\nAnswer: m, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 855 divided by 9.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, e: 11, q: 1, a: 3, o: 3}. Give prob of picking 1 p and 1 e.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 1731296\nAnswer: -3\/865648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-15 + 15) - 27.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - ((-9300)\/(-1302) + 1*2\/(-14)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28672929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 20.63 and -154.617907.\nAnswer: -133.987907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rorr when four letters picked without replacement from {o: 4, r: 7}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -cf + -9a5?\nAnswer: -a74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20390.25 + 6.7.\nAnswer: 20396.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 62097 and 35.\nAnswer: 310485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i*w**3 - 3958309*i*w + 17*w**3 + 19*w**2 + w + 202 wrt i.\nAnswer: -w**3 - 3958309*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 115\/25 + 24\/(-40). Solve 0 = -o + x*a - 11, 4*o + 3*a = -2 - 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-3\/2))\/n**(-8\/3) assuming n is positive.\nAnswer: n**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 69739 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 12)*(2*x**3 - 5*x**3 + 2*x**3 + (x - 4*x + x)*(-4*x**2 + 2*x**2 + 4*x**2)) + 0*x**3 - 5*x**3 + 3*x**3.\nAnswer: -62*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4 - 541*y**3 + 540*y**2.\nAnswer: y**2*(y - 540)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 292*z**4 + 92*z + 6 wrt z.\nAnswer: 3504*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2894*c*v**2 + 5*c*v - 8*c - 4*v wrt v?\nAnswer: -5788*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2173)\/(-13776) - ((-830)\/105 - -8)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -20\/3*j**3 - 121 + 5\/4*j**4 - 55\/2*j**2 - 30*j. Factor x(o).\nAnswer: 5*(o - 6)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-3))\/(-17 + 19). Solve 34*l = 33*l + h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -4 + -3 + -5 + 8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - v - 8 = i, -2*i = v - 22. Suppose a - i = -4*a. Suppose 6*l - 5 = -t + l, 5*l + 25 = 5*t. Solve -a*u = 3*u - t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -81\/16 at least as big as -17\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 133299.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24\/(-9))\/(2\/(-255)). Suppose 14*c - y = 10*c. Let d = c + -6. List the prime factors of d.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -15*a + 9. Calculate p(-7).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30944927113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-3) - (5 - 2). Let v be (-10)\/g*(2 - 5). Let w be v\/(-6) + (-1)\/(-3). Solve -3*l = -2*m, -2*l - l = w*m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + -12. Let f = t + 37. What is the remainder when -5*((-928)\/(-20))\/(-4) is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*z - 110*z + 5922 = 0. What is the highest common factor of 1274 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1288 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21890, 43784, 65670, 87542, 109394, 131220, 153014, 174770?\nAnswer: 196482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 5, 0, -4, -470 in decreasing order.\nAnswer: 12, 5, 0, -4, -470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 - 9*y - 7. Suppose -4*l - 2*k = -73 + 7, 120 = 5*l - 5*k. Suppose 0 = l*m - 5*m + 84. Let i(p) = p**2 - 4*p - 3. What is m*w(o) + 13*i(o)?\nAnswer: o**2 + 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w**2 - 7*w + 5. Let g be u(2). Suppose -24 = g*p - p. Let q(y) = y**2 + y. What is q(p)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (0 + -3 - (-3 + -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/((180\/16)\/(-9)). Solve -h*p = -0*p + 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 1 = -5*n. Let h(j) be the third derivative of -j**6\/120 + j**5\/10 + 7*j**4\/24 + j**3\/6 + j**2. What is the remainder when h(7) is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 50 - -821?\nAnswer: 871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -14\/61899097?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 129212 or -0.645?\nAnswer: -0.645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 1:11 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2 + 2*b - 1. Let h(w) = -w**2 - 5*w + 4. Let l be h(1). Let x(f) = -8*f**2 - 8*f + 5. Calculate l*x(p) - 9*u(p).\nAnswer: -2*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 8*p**2 - 16*p - 22. What is the least common multiple of 24 and m(10)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10369346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 l when two letters picked without replacement from bbbbbllbbl?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*v**2 + 17*v**2 + 15*v**2 - 15*v**2.\nAnswer: 35*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408073431 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 10 = -2*n. What is the nearest to -1 in -3\/2, 3\/8, n?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -302\/933 - 3\/311. What is the common denominator of -77\/158 and k?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3)\/s*s)\/(s**5\/s)*s**2*s**(-2)\/s)**(-14\/11) assuming s is positive.\nAnswer: s**(112\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 - 4*i**2 + 6*i**2)*(7 - 11 - 9 + (1 - 4 + 1)*(3 - 3 - 2)).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 85, 7, -10, 5, 2.\nAnswer: -10, 2, 4, 5, 7, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {z: 2, v: 8}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/35 + (-2)\/7. Let f(i) be the first derivative of -i**6\/360 - 7*i**4\/24 - 4*i**3\/3 + 3. Let c(m) be the third derivative of f(m). Determine c(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 8*z**2 - 2*z + 1. What is g(8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 3*n**3 + 1818*n**2 + 121893*n + 1283958 = 0.\nAnswer: -531, -62, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 120\/36*1*3\/(-2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40106436 + -40103805.2651. Let s = r + -2598.52. Let f = s - 32.2. Round f to 3 decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 4:10 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -6*n**2 + 6*n - 1598. Give q(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 18. Calculate z(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f - 3. Let a(z) = -z**3 - 47*z**2 - 173*z - 51. Let v be a(-43). What is n(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 50*t**4 - 29970*t**3 + 101512*t**2 - 114504*t + 42912 = 0. What is t?\nAnswer: 1, 6\/5, 596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9131, 36595, 82363, 146429, 228787, 329431, 448355, 585553?\nAnswer: 741019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46709*t**2 + 23397*t**2 + 23307*t**2.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -238c2 (base 14) to base 15\nAnswer: -1aabc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40016 is divided by 101.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109774*n - 93641*n - 56733*n.\nAnswer: -260148*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-10)*(23 - 3)*-1. Solve 4*w = 4 - b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 462984043 and 8363.\nAnswer: 8363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 + 679 = -13*q. Let g = 56 + q. Let o be (-68)\/238 - g\/(-35). What is the nearest to -1\/4 in o, 0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1 (b) 6\/7 (c) -2 (d) -5\/6 (e) -77\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3 + (1 + sqrt(847))*3 + 4))**2.\nAnswer: 4224*sqrt(7) + 122224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*w - 20, 4*d - 2*w = 3*w - 17. Solve -5*o + j + 0*j + 10 = 0, -o + 2 = d*j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-27083)\/(-159))\/(-73))\/(35\/(-240))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, 0, 19, -7\/6, -2\/9, 936?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-4*(-2 + -1 + (sqrt(300) + -2 + -5)*1 + 2)**2.\nAnswer: -1456 + 640*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128, 2840, 10378, 25208, 49796, 86608, 138110, 206768?\nAnswer: 295048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 29, 75, 153, 263?\n\"Answer: 16*d**2 - 2*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or 484\/21?\nAnswer: 484\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, x: 1, q: 2, t: 4}. Give prob of picking 1 b and 1 q.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 26. Let s = 32 - 27. What is the nearest to 2 in i, -4\/7, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 366 = -4*w, -b - 6*w + 195 = -w. Suppose -3*i - 2*i = -b. What are the prime factors of i?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75721755 divided by -47415?\nAnswer: -1597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v**3 - 7*v**2 + 3*v + 1. Let s(q) = 4*q**3 - 6*q**2 + 3*q + 1. Let y(w) = -5*g(w) + 6*s(w). What is y(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222\/148*16\/(-18)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71.07 + 73. Let m = f - 1.929784. What is m rounded to five decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 15*r**4 - 9828*r**3 - 286167*r**2 + 927072*r - 631092 = 0.\nAnswer: -154\/5, 1, 2, 683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of b**4\/4 + 11*b**3\/3 - 5*b**2\/2 + 4*b + 3. Is f(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 9:23 AM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2692303772.\nAnswer: 2, 673075943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23274491*m**6 + 3*m**2 - 798633*m - 4?\nAnswer: -2792938920*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of v**4\/4 + 5*v**3\/3 - v**2 - 4*v + 1. Let g be l(-5). Let j = g + 5. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6*z - 212 = -4*z, 3*t - 4*z = 322. Let g = 5 + t. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 10 = -6*a, 2*r + 2111*a - 2112*a - 5 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11509 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -286, -926, -1974, -3412, -5222?\n\"Answer: 3*b**3 - 222*b**2 + 5*b - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1328, -2650, -3974, -5300, -6628, -7958, -9290?\n\"Answer: -k**2 - 1319*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 103 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -115 + 235. Suppose -g = -2*h - 5*v - 21, 0 = 2*h + 3*v - 89. Suppose 4*n - h = 11. Calculate the greatest common factor of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/11)\/(n*((n\/n**(-3))\/n)\/n))\/((n**2\/n)\/(((n\/((n*n**5)\/n))\/n)\/n)) assuming n is positive.\nAnswer: n**(-112\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2.9, -85.9 in descending order.\nAnswer: -0.1, -2.9, -85.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 202 - 69*g + 375 - 108 - 29*g**3 - 25*g**3 + 56*g**3 wrt g?\nAnswer: 6*g**2 - 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - d - 41 + 4*d.\nAnswer: 3*d + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -28*h**2 - 4. Let y(x) = -56*x**2 - 9. What is -9*c(s) + 4*y(s)?\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*h + 2 = 0. Let l = 951 + -883. Suppose r - h*r + l = 0. What are the prime factors of r?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -66. Let l = -371\/9 + t. Which is the third biggest value? (a) l (b) -3\/7 (c) -35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 354*b**3 - 32753*b**2.\nAnswer: 2124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2537 - -2648. Solve j*w + 36 = 117*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288)*-2 + sqrt(288) - sqrt(288)) + (sqrt(120)\/sqrt(5))\/sqrt(3))\/(sqrt(256) - -3*sqrt(256)*1))**2.\nAnswer: 121\/512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((1 + sqrt(320))*-6 + (sqrt(320) + sqrt(320) + 0)*6))**2 - (1 + (sqrt(320) + 2)**2 + (2*(1*sqrt(320))**2 + sqrt(320) - sqrt(320))).\nAnswer: -5216*sqrt(5) + 103039","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465410504.\nAnswer: 2, 13, 617, 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2444)\/(-104) + 27\/(-45) + 82\/20?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4352390*r**2*v + 2*r**2 - r*v + 29508*r + 3*v - 22 wrt v?\nAnswer: 4352390*r**2 - r + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1120*s - 2 + 1163*s - 2511*s)*(2*s - 2 + 2)*(3*s - 3*s + 2*s).\nAnswer: -912*s**3 - 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26218765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 123 = -81. Suppose 0 = -d*c + 2621 - 339. Suppose 5*u - 4*y = 440, 4*u - y = -3*y + c. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 5*k**2 + 3*k. Is m(5) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -1.9. Let i be 2 + 0 + 8\/(-6). What is the closest to m in 1, i, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25365736 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 51 = 9. Solve 0*j = 3*j - w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -3. Let f(m) be the first derivative of -2 + 1\/2*m**2 - 12*m. What is f(l)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 y when four letters picked without replacement from ycnyccy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 3:42 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6550340958.\nAnswer: 2, 3, 7, 17, 241, 12689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -48*m**2 + 24*m - 701. Let l(g) = -95*g**2 + 52*g - 1402. Let q(t) = 13*f(t) - 6*l(t). What is the derivative of q(y) wrt y?\nAnswer: -108*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/2607, 4, -0.03 in decreasing order.\nAnswer: 4, -4\/2607, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 18777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 3*i + 3 = -8, -2*o = -4*i - 24 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v**3 - 3*v**2 - 10*v - 40. Let h be f(-3). Calculate the highest common divisor of h and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s = 30836 + 7384. Let q = -894 + s. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 169 + -167. Suppose 3*b = x*b + 5*f + 85, 4 = -f. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73*f - 94*f - 21*f + 16*f + 10*f to q + l*f and give l.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 36. Is 11 a factor of q - 1 - (13 - 38)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -747 - -743.988. Let a = -42 - -39.1. Let k = i - a. Round k to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*n = -33*n + 3*i - 4875, 0 = -n + 4*i + 1610. List the prime factors of n.\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**9\/60480 - c**8\/20160 - c**7\/5040 - 3*c**5\/20 + 2*c**2. Let k(t) be the third derivative of y(t). Give k(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1*sqrt(7)*-1)**2 + (sqrt(189)\/sqrt(3))\/sqrt(9) - (-1*((sqrt(7) + 3)*6 - sqrt(7)))**2).\nAnswer: 537*sqrt(7) + 1476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 7:37 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8\/13 - 19\/52. Let p be 6 + 280\/45*-1. Let r = 8 - 10. Sort r, j, p.\nAnswer: r, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -1\/9 (c) 1\/2 (d) 3\/7 (e) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*q**2 + 109 - 6*q + 100 - 224 in the form o*q**2 + t + r*q and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 7*i - 4. Suppose 0 = 2*h + 2*r - 2, h + 5*r + 22 = 5*h. Suppose -5*s - 1 = 4*n, 0*n + n - 21 = h*s. Calculate o(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(1\/3)*c)**(1\/9))**(-19) assuming c is positive.\nAnswer: c**(-95\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/(-429)*(-15)\/10.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -4) + 0 + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2 - 1. Let q(c) = c - 1. Let p be q(y). Is (-2)\/(-4)*(292 + p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11611, 11580, 11521, 11428, 11295, 11116?\n\"Answer: -k**3 - 8*k**2 + 11620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66 + 118. Let l = -88 + y. Let v = l + 36.0136. What is v rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**4\/24 + 79*y**2. Let r(w) = 29*w**2. Calculate a(r(m)).\nAnswer: -29*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 5 = 2*r + 5*u, -5*r - u = -6. Suppose -r*z + 795 = -335. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5508268?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3460 - 1525. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -3*k - 16671, 4*y = 2*y + 4*k + 11104. What are the prime factors of y?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12947 is divided by 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.951875 and 3.37.\nAnswer: 6.57781875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 7*b - 23 = i, -b - 8 = 4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1018*v = 999*v + 19. Put v, 6\/7, -7 in descending order.\nAnswer: v, 6\/7, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 3*b - 25 = -b, -2*n - 5*b = 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -230569.6206 to the nearest 100.\nAnswer: -230600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 + 1. Is (0 - 1) + y*(-1528)\/16 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10\/9 + 92\/99. What is the fourth biggest value in 0.4, 3, a, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -222 + 223.7. Let b = 1.98 - q. Round b to 2 decimal places.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (16\/15060)\/4*-2. Let d = c + -222131\/7530. What is the common denominator of 87\/16 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -525 (base 8) to base 2.\nAnswer: -101010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.412 (b) 1\/2 (c) 1181\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 210314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((-1084)\/364 + 3). Let p be 4\/(-14) + 26\/f. Solve 3*h = q + 4*q + 25, p = -h - 2*q - 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -85*q + 1989 - 2499 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 + 40343122?\nAnswer: 40343102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**3\/3 - 5*m**2 + 9*m + 7. Let o be k(6). Are o and -15 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*c + 120 = -c + 5*c. Solve 0 = -5*s + 3*x + 5, -2*s = -c*x + 2*x - 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*t = 4*t - 30, 0 = -3*x + 5*t - 38. Let k = x - -32. Solve k = -3*d - d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13647 * -0.5\nAnswer: -6823.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -49 or 1333?\nAnswer: 1333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -18*j - 186. Let h be t(-13). Solve -8 = 14*m + h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1967122 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155136, -620468, -1396008, -2481750, -3877688?\nAnswer: -5583816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**6\/660 + 2*c**5\/55 + c**4\/12 + 55*c**2 + 2*c. Suppose m(w) = 0. What is w?\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + 4. Let o = 26 - a. Solve -5*c + o*b + 3 + 2 = 0, -2*c + b = 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 8133*w = n + 8123*w - 45, -2*w - 18 = 2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 305 and 6161.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 474 is divided by 80?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dyydnyyyd. Give prob of sequence nydd.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 66 + -2361?\nAnswer: -2284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from okoooooookoooooooooo. What is prob of sequence kook?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24595 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.74 - -442.74. Let d = p + -436.8. Suppose 2 - 17 = -n. Sort -1, n, d.\nAnswer: -1, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1\/14 (c) -2 (d) 0.3 (e) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 156158 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 18060 divided by 129\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -14a5652?\nAnswer: 14a5655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1361626 + 2?\nAnswer: 1361630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + -5. Let r be 0\/((v\/(-2))\/(-2)). Solve r = -5*q - 2*b - 0*b - 7, -b + 19 = -5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*b**3 - 20784*b**2 + 128116*b - 24792.\nAnswer: 4*(b - 1033)*(b - 6)*(5*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13058 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 4184466.6 to the nearest 10000.\nAnswer: 4180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64 - 1. Suppose -u - 2*u = -5*p - v, -2*p - 4*u = 20. Let g = p + 34. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 30 = -59*g + 56*g, -43*g - 3*y + 150 = 12*y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.69683 + 3131.40317. Round j to the nearest one hundred.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88 - (-101 + (73 - 37))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -143860, -575626, -1295298, -2302876, -3598360?\nAnswer: -5181750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 858*h**2*i + 43*h**2 + 19*h + 223869*i + 3 wrt h.\nAnswer: 1716*h*i + 86*h + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2246*o**3 - 7*o - 6. What is the units digit of l(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**3 - 11*w**2 - 3*w + 125. Does 12 divide u(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 19*i**3 + 38*i**2 - 65*i - 10. Calculate k(2).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23823 - 22940. Calculate the remainder when x is divided by 395.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01541 rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0258 equal to 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.675? (a) -0.04 (b) 0.2 (c) 2\/7 (d) -5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*r**3 + 3*r - 3*r**2 + 3 - 3*r + 8*r**3 in the form c*r**3 + f*r**2 + l*r + n and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 40? (a) -3\/20 (b) 3\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -883484, -1766963, -2650442, -3533921?\nAnswer: -4417400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-154) + (1\/(-2) - (-10)\/308).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 20096, 27143, 34190?\n\"Answer: 7047*a + 13049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007888969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 5*a - 1. Let y = -5 - -1. Let r be t(y). Solve r*i + 3 - 6 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 4, -0.5, 0.195?\nAnswer: 0.195","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10760 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*v - 4050 + 85104. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvmjl. Give prob of sequence vl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from difbcbididdffdk. Give prob of sequence bck.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -738 = -7*r - 4*r - 1079 for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**6\/144 - l**5\/120 - 3*l**4\/8 - 8*l**2. Let z(s) be the second derivative of n(s). What is z(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 24 = -2*w, w + 12 = 5*x + 52. Suppose 0 = 2*p + 3*p + 25. Let c be ((-54)\/x)\/(p\/(-20)). What is the greatest common factor of c and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -264506 divided by -1093?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 0*x = 5*x + 20, 36*y - 32*y - 14*x = 19 + 37 - 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3 = -2. Let x(j) = 4*j + 7. Suppose 3*o = -s + 75, 0 = -5*s - 2*o - 0*o + 388. What is the remainder when s is divided by x(g)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -235, -467, -699, -931?\n\"Answer: -232*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, x: 3}. Give prob of picking 3 b and 1 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22100202 (base 4) in base 16?\nAnswer: a422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 - 654 = -4*k. Let q = k - 118. Let z(l) = l**3 + l. Let n(s) = 6*s**3 + 4*s. Calculate q*n(r) + 4*z(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -14, -5, 8, 25, 46, 71?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 350, 690, 1028, 1364?\nAnswer: 1698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -6594*f**3 + 45*f**2 + 690*f + 30. Let n(c) = -3*c**2 - 2*c - 2. Let w(d) = h(d) + 15*n(d). Find the second derivative of w(x) wrt x.\nAnswer: -39564*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68264, -68261, -68258, -68255, -68252, -68249?\nAnswer: -68246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-231)\/1056*8)\/((-14)\/4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 equal to 0.089?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47728138?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 1075*t. Let i(x) = x**2. What is s(i(g))?\nAnswer: 1075*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 10:11 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 145 (b) 0.2 (c) 508 (d) 25 (e) -2 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(187) - sqrt(187)*-2))\/(sqrt(176) - (-2*sqrt(176) + sqrt(176))) - (-3*sqrt(833)*2 + -5))**2.\nAnswer: 855*sqrt(17)\/2 + 497497\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpvcpvvvvpppve. Give prob of picking 1 p and 1 c.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 960842353?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2438*d**2 + 163*d - 4876*d**2 + 0 + 2440*d**2 + 6 to the form y*d**2 + r + g*d and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 234683 and 339?\nAnswer: 79557537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3140387428.\nAnswer: 2, 89, 8821313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2148, -12353, -22560, -32769, -42980, -53193?\nAnswer: -63408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 347510 - -317?\nAnswer: 350027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1696 is divided by 1670?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 152, 245, 338, 431?\n\"Answer: 93*g + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1765 and 7413.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86671474.\nAnswer: 2, 17, 31, 82231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*t**3 + 2906*t**2 + 778*t - 7 wrt t.\nAnswer: 18*t + 5812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 122568.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**4\/12 - 3*r**3\/2 + 9*r**2\/2 - 2*r + 2. Let f(y) be the first derivative of a(y). What is f(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 1:05 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 15*r + 18. Let s be d(14). Suppose 0*k + k - s*a - 28 = 0, 94 = 5*k + 3*a. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161 - 2*b**2 - 91 + 49 + 311*b - 45.\nAnswer: -2*b**2 + 311*b - 248","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (x**3 + 7*x**2 - 43 + 35417031*x - 35417031*x)*(0 - 1 + 0) as s*x**2 + c*x**3 + w*x + g and give g.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2123782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 6*o + 3. Let n(l) = -8*l**3 - l - 2. Let j be n(-1). Give p(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -425 + 431. Solve 0*h = -0*h - v*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329122.\nAnswer: 2, 43, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**3 - 3*b**2 + 2*b**3 - 4*b**3)*(-b + 3*b - b + b**2).\nAnswer: 3*b**5 - 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*2*1\/(-1). What is the nearest to -2 in -2\/17, 0, t?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3019 divide 153875411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/4 - 7\/(-14). Which is greater: b or -1\/21?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 875247885 to the nearest integer?\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/7, 1\/2, -2, -14, -3, -219?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + 3*r**3 - 6*r**3)*(2*r**2 - 3*r**2 + 2*r**2) + (5*r**5 + 13*r**4 - 13*r**4 + 2)*(-2 + 1 + 7).\nAnswer: 28*r**5 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6486962*v**2 + 15328*v + 169?\nAnswer: 12973924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1391680?\nAnswer: 2, 5, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.78 (b) -54\/11 (c) -10 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35718, 285719, 964300, 2285751, 4464362, 7714423, 12250224?\nAnswer: 18286055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*y - 141 = 29*y. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/6 and -62\/3675?\nAnswer: 7350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -517, -1424, -2937, -5050, -7757, -11052, -14929?\nAnswer: -19382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(93\/(-33) + 3). Let h = k + 11. Let w = -2689\/11 + 245. Which is bigger: w or h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*p**3 + 705*p**2 + 2*p - 1707?\nAnswer: -6*p**2 + 1410*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 331*c + 996. Let a be d(-3). Which is bigger: 62\/17 or a?\nAnswer: 62\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 1632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.071? (a) 0.4 (b) 2.5 (c) 0.2 (d) -1 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**3 + 30*t**2 + 44*t + 16. Determine f(-13).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -198 - 45. Suppose -v = -4*t + 19. What is the remainder when t is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvhppqpv. Give prob of sequence hv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*f + 27*f + 22 - 66*f - 39.\nAnswer: -57*f - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 608895 and 315?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*m = 20*m + 74*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 29*c. Let n(v) = 45*v. Determine h(n(f)).\nAnswer: 1305*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*d - 19, -36 = -5*d - 11. Let y(s) be the first derivative of s**3\/3 - s**2 - 2*s + 10. Calculate y(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4 + 48*i**3 - 330*i**2 + 484*i.\nAnswer: -2*i*(i - 11)**2*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 79 - 461 = -3*d, -3*d + 4*i + 570 = 0. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/324 and 1\/23112.\nAnswer: 69336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-60) - 32\/(-30)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*u - 149 = 0, -2*c - 5*u - 221 - 44 = 0. Let b be 10\/12*21\/c. Do b and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**2\/6 + 3373*k\/6 - 3371\/3 = 0.\nAnswer: 2, 3371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10832206, -21664408, -32496608, -43328806, -54161002?\n\"Answer: t**2 - 10832205*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*v - 2162 + 4425 = 0 for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y - 45*y + 34*y.\nAnswer: -20*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i**2 - 28*i - 8. Let u be v(-8). Suppose 2*t = 2 + u. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170022*k + 170151*k = -3354 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3 + sqrt(147)*-1 + (-2*sqrt(3888))\/sqrt(9) + -2))**2.\nAnswer: 11160*sqrt(3) + 104688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 + 83. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 2*r - 24. Calculate the least common multiple of 40 and i(6).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 20*z + 17. Suppose -3*h = -3*s + 75, 5*h = 6*s - 2*s - 121. Is 2 a factor of y(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aacjmjo. Give prob of picking 1 o, 1 a, and 1 j.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1 + sqrt(1900) + 5 - (sqrt(1900) - (sqrt(1900) + (sqrt(1900) + sqrt(1900) + sqrt(1900) + sqrt(1900)*3 + sqrt(1900))*-4) - sqrt(1900)))**2.\nAnswer: -3120*sqrt(19) + 1284431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 2317.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2\/(t**(-5\/4)\/t))\/(t**(3\/4)*(t*(t*t**(-3))\/t)\/t) assuming t is positive.\nAnswer: t**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (7 + 0)) + -17 + 25?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1150\/(-40825) - (-2552)\/(-142). Let i(v) = -10*v - 98. Give i(q).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102 - -204?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162415 divided by 55.\nAnswer: -2953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -79*k**5\/10 - k**4\/12 - k**3\/6 - k**2\/2 + k. Is m(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000030793 rounded to seven dps?\nAnswer: 0.0000308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1503500 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (30 - (-29 + 60)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 8*q**2 - 19*q + 6. Calculate r(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12.132 + -5\nAnswer: -17.132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/15)\/((-3)\/(-470)). Suppose 2*p = 3*p - 3*i - q, 0 = -2*p - 2*i + 376. Suppose -4*l + p = -2*l. Is l a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10080, -40302, -90648, -161112, -251688, -362370, -493152, -644028?\n\"Answer: h**3 - 10068*h**2 - 25*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)*-3 - sqrt(228))*-1)\/sqrt(12).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1408*x + 1412*x = 12, -2*c - 12 = -2*x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89756*q**2 - 3*q + 3*q + 89669*q**2.\nAnswer: -87*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -4 - (-6 - (-9 + 5)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*w - 67*w = -2357 - 6175 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*u + 18. Let s = u + 0. Let l = 2.98 - -0.02. What is the biggest value in -2, s, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1095.37? (a) -3 (b) 2\/3 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -5. Let o(t) = -9 + 10 - 37*t + 36*t. Calculate -2*n(q) - 10*o(q).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 3*p - 27 = 0, -3*w + 60826*p = 60827*p + 27 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126 + 2*v + 14 + 0*v - 4*v + v.\nAnswer: -v + 140","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 447.\nAnswer: 3576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16812400?\nAnswer: 2, 5, 11, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k - 3*k - 8*k as c + l*k and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 0*c = 0. Are c and 2\/25 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2927)\/((-2)\/(1 + 1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (58\/10)\/1 + (-5)\/(-25). Let d be (7\/2 + -2)\/(w\/(-56)). Is 2\/4 + (-10563)\/d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 34*j**3 + 2147*j - 4. Let f(b) = 41*b**3 + 2146*b - 5. Determine -5*f(p) + 6*h(p).\nAnswer: -p**3 + 2152*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -m - 2, -8735*m + 8740*m - 10 = -5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 260858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 3. Let u = -1.9 + -0.6. Let r = -0.5 - u. What is the second smallest value in g, 1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.011.\nAnswer: -0.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 5:18 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus 40862315306?\nAnswer: -40862315306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 886 + 26834. Let f = y + -1231. Suppose -7*g + 958 + f = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1595 + 1.8305. What is s rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 241640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2412\/273*(-8)\/(-180). Let x = m - -2\/273. Which is the closest to -2? (a) x (b) 0 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in months?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3740 divided by 220.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (8 - ((-4 - -14) + 1))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 + 3413874 - 3413874 - 2242*t**3.\nAnswer: -2242*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f90 - -11?\nAnswer: -1f7f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 3.95. Let p = 0 - 0.1. Which is smaller: p or v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80787 - 4*k**3 + 87*k - 87*k - 80787.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 12. Let a = o - 7. Solve f + 0 - 1 = a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2\/3))**(-4\/11)*((m**(2\/5)*m*m)\/m)**(-15)*((m\/((m*m**(1\/10)*m)\/m*m*m*m))\/m)\/m**(-1\/3)*m*m\/m**(-4\/7)*m*m**(-3\/2) assuming m is positive.\nAnswer: m**(-8971\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -4. Let x(n) = -3*n + 1. Let u be x(-1). Let k be (1\/(-3) + 0)*-9. Solve -s = -u, k*s = m + m + d for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000094445575 to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251361.\nAnswer: 3, 11, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 597.\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 192 + -235?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -13. Let a = -4 - s. Let o = 5 + -10. Put o, a, 5 in decreasing order.\nAnswer: 5, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.871952 - 1.872. What is h rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 - 2. Let w be p(-2). Suppose 6 = -3*r + 18. Solve -2*b = -r*b + w for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 + 1021212120?\nAnswer: 1021212012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -8649*c - 9156. Is t(-5) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 22788700*w + 22788704.\nAnswer: -4*(w - 1)*(w + 5697176)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*a, -25*z = -26*z - 5*a + 272. What is the remainder when z is divided by 139?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.43805 - -19.45. Round z to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 12 = r. Let d be (6\/4)\/(8\/16). Sort r, d, 1 in descending order.\nAnswer: r, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -4*u**3\/7 - 29688*u**2\/7 - 73448112*u\/7 - 60570209696\/7 = 0?\nAnswer: -2474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 4*m**2 + 5. Let t be x(4). Let r = 0.7 + 12.3. Let h = r + -13.13. Which is the smallest value? (a) h (b) -1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 6*l - 1. Give q(9).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-7))\/(144\/336))\/(132\/(-990))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 475110?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/((-240)\/(-5)))\/(6\/12)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -353*j**2 + 69*j + 5 wrt j?\nAnswer: -706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 436, 1802, 4070, 7240, 11312, 16286, 22162?\nAnswer: 28940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1120)\/196)\/(2\/(-28)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + -7 + 6 + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -41186819453489 + 5?\nAnswer: -41186819453484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54067 + 54022.939. Let l = 45 + -89. Let t = j - l. Round t to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-162)\/(-12)*4\/30*5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*125293.\nAnswer: 501172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 6*z - 2269. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -422*f - 1636. Give u(-4).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6590, 13147, 19702, 26255?\n\"Answer: -y**2 + 6560*y + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -140220, -280464, -420734, -561030, -701352, -841700, -982074?\n\"Answer: -13*b**2 - 140205*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 2:37 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2480 and 50?\nAnswer: 12400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 265*d**3\/3 + 6521*d**2\/2 + 1565*d. What is the derivative of i(u) wrt u?\nAnswer: 530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 21*k**2 - 21*k + 24. Give w(-22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 444, 3, 10, -3.\nAnswer: -3, 3, 10, 444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*x - x - 13, 4*x - 72 = q. What is the remainder when 108 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(-3 + 6 + 1)*(7*s**4 - 191*s**3 + 191*s**3).\nAnswer: -28*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7167, 51613, 172259, 407205, 794551, 1372397, 2178843?\n\"Answer: 6350*s**3 - 4*s + 821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 0*s - 4*s + 0*s + 2*s + 0*s + (-s + 5*s - 2*s)*(-1 + 5 - 2) + 0*s + 4*s + 0*s + s - 3*s + 3*s + (3 + 2*s - 3)*(3 - 1 - 1))*(-1 + 1 + 3*s).\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -3)\/(0 - 1). Let t = -2 - g. Let q be (t\/(-2))\/(6\/20). Solve -w = -q*w + 2*b + 6, w + 9 = -3*b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 747065360 to the nearest integer?\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/17 and -34\/355.\nAnswer: 6035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 17771?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*sqrt(13) + 3)**2.\nAnswer: 24*sqrt(13) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 137 + -99. Let k = -19095343 + 19095380.999996. Let w = h - k. Round w to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 78*z**3 + 314.\nAnswer: 234*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 60*s**2 - 538*s + 58. Give x(-49).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101100 - 0?\nAnswer: -1101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*f = -46*f - 32. Calculate the greatest common factor of f and 296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -95.297 + 86.07. Let t = q - -0.027. Let z = t + 8.69. What is z rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m = w - 3 - 35, 2*w - 2*m = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**2 - 11*b**2 - 5*b**2 + 0*b**2 + 0*b**2 - b**2 + (-b**2 + 2*b**2 - 2*b**2)*(-3 + 4 - 3).\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(19\/3))**2 assuming z is positive.\nAnswer: z**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {f: 11, b: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19016455 and 623033?\nAnswer: 9299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -6*g - 22. What are the prime factors of g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 868529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(240)\/(sqrt(20)\/sqrt(4)))*6)**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*a**3 + 93*a - 93*a)*(-115*a**2 + 6*a + 67 + 179*a**2 - 63*a**2).\nAnswer: 20*a**5 + 120*a**4 + 1340*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/24024 and 1\/51480.\nAnswer: 360360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 13 = -g, 4*g - 17 = -2*x + 3*g. Let l(i) = -2*i**3 - 6*i**2 + 5*i - 6. Let m(v) = 4*v**3 + 11*v**2 - 10*v + 11. What is x*m(u) + 11*l(u)?\nAnswer: 2*u**3 - 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3361077.37 + -3346174. Let d = -14904.0699932 + m. Let z = d - -0.7. Round z to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10.4335 and 592?\nAnswer: 602.4335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ook when three letters picked without replacement from koookoooooko.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f**4 + 3*f**4 + 6*f**4 + (-4*f + 4*f - 2*f)*(-f**3 + f**3 + f**3).\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n + 1318243 = -278634 + 212817. What are the prime factors of n?\nAnswer: 69203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + m**2 + m. Let t(f) = 12*f**3 - 8*f**2 + 3*f + 4. Let o(k) = -3*n(k) + t(k). Let w(g) = -5*g**3 + 6*g**2 - 2. Calculate -6*o(r) - 11*w(r).\nAnswer: r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8139585 and 345.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*r**4 + 4*r**2*s + r*s + 41*r wrt r?\nAnswer: 96*r**2 + 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 9 = 3*q - 2*r, -4*q - r + 13 = 0. Let w be -2 - 6*(-2)\/q. Solve -3*i - c = -6*c + w, -4*i - c - 9 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 7*f - 26. Sort -9, -5, f, 2 in ascending order.\nAnswer: -9, -5, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18.014 - 0.014. Let j = 18.5 - p. What is the third smallest value in 5, j, 4\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 12 (c) -3 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71 - 66. Let s = 5.5 + -5.5. Let h be 10\/15 + 32\/(-39). Put v, h, -0.2, s in descending order.\nAnswer: v, s, h, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2. Suppose 0 - 2 = -f. Let s(q) = -q**3 + 5*q**2. Let o(r) = f*s(r) + 5*b(r). Solve o(w) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65861, -65865, -65867, -65867, -65865?\nAnswer: -65861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/42)\/((-26)\/78))\/(1\/2).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -495616, -495615, -495614?\nAnswer: -495613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.2, -0.07 in increasing order.\nAnswer: -0.07, 0.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g - 84. Let i(x) = -37*x + 1. What is i(h(r))?\nAnswer: -74*r + 3109","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(4\/7)\/g**15 assuming g is positive.\nAnswer: g**(-101\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 1.9. Suppose -144 = -2*x - 3*w - 122, 0 = 5*x - 2*w - 17. Which is the closest to s? (a) 4\/5 (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-540)\/(-216))\/((-43)\/(-3) + 1) and -19\/8.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.4, 15, 64, 62 in increasing order.\nAnswer: -0.4, 3, 15, 62, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 13 = -2*q, -2*q - 212 = 2*s - 214 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + r. Let p(i) = 2*i**3 - i. Suppose 3 + 9 = -3*k. Let n(w) = k*p(w) - 9*m(w). Find the second derivative of n(c) wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y\/((y\/(y*y**(3\/7))*y)\/y*y))\/y)\/y**(3\/7))\/(y**1)**8*(y**(-1\/8)\/(y\/(y**(1\/4)*y)*y))\/(y*y*y\/(y**0*y))**(-28) assuming y is positive.\nAnswer: y**(377\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*119\/34*868\/294?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2605?\nAnswer: 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 + 13*j - 33. Does 9 divide w(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 383 - 3067\/8. Which is the closest to -2? (a) w (b) 0.2 (c) 0.3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**3\/6 - 4*g**2 - 3*g. Determine t(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -166 + 186. What is the greatest common divisor of 390 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s - 15. Let j(q) = -78 + 14 + 7*q + 39. Let g(b) = 3*j(b) - 5*t(b). Let u(f) = 36*f. Determine g(u(a)).\nAnswer: 36*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6 - 9)*10\/(-6)*(-8862)\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 3 + 1)*(2*w + w - 4*w) + (0 + 5 - 4)*(0*w + w - 3*w) + 1 - 1 - w)*(0 + 2 - 1)*(-13 - 42 - 11).\nAnswer: 132*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 8 = -5*m - 2*v, -2*v = 4*m + 10. Is (0\/m)\/3 - -145 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 173 or 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (6 + -6 - (1 - 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1712244 is divided by 2320.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4 = 7. Suppose -3*a + 7*a - 6*a = 0. Solve 5*d - 6*d - z = a for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-28)*-4)\/(4\/14)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - (-76)\/16)\/(6\/(-48)). Sort l, 4, 5 in ascending order.\nAnswer: l, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125000070 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 8, p: 5}. What is prob of picking 1 k and 1 p?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 59321272.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00357753 rounded to four decimal places?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 8:27 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3120 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 11 = -7*m. Let a be m\/(-6) + 68\/12. Find the third derivative of -4*n**a - 2*n**2 + 6*n**2 + 2*n**2 wrt n.\nAnswer: -240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5620 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 620204 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**3 - 693*w + 1645*w - 952*w.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189111 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470 = -237*d + 2*l, -106328 = d + 4*l - 106338 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in seconds?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*p + 56*p + 47902. Let j = -531 - p. List the prime factors of j.\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 2*s - 18. Let p(m) = -5*m - 2. Let l(v) = 9*v + 3. Let j(a) = 3*l(a) + 5*p(a). Does 8 divide j(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - -34. Let u = -10 + 14. What is the closest to k in -3, 1\/4, u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 5 + -4 - -3. Suppose -4*z - 5 = f + z, 4*f + 3*z - 14 = 0. Suppose 0*u = -f*u - 35. Put k, u, -4 in descending order.\nAnswer: k, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-14 - -2)*63\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15138, 12561, 9994, 7443, 4914?\n\"Answer: x**3 - x**2 - 2581*x + 17719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 268 - ((-2)\/(-6) + (-798)\/(-63)). What is the highest common divisor of 4437 and i?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262*k = -126*k - 2176. Solve 5*t - t - 3*s + 26 = 0, 4*t + 2*s + k = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**3\/n)\/(n\/n**20))\/((n*n**(-20))\/n)**(2\/57))**(1\/3) assuming n is positive.\nAnswer: n**(1237\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11427\/260 - (1991\/(-220) - -9).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*n - 260 + 242. Let m(j) = 8*j**2 + 1. Calculate m(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 386, 381, 372, 359, 342?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6007917.\nAnswer: 3, 43, 46573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -17. Let q = 38 - 20. Suppose 5*y = -f + 14 - 4, -3*f - 3*y + q = 0. Calculate the greatest common factor of f and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -3) + -7 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 261, -357, 1 in increasing order.\nAnswer: -357, -2, 1, 3, 261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2121120011 (base 3) in base 13?\nAnswer: -1a54b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*m - 140*m - 809 = 2575 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 16, 4, -2, 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 682 - 679.036. Let t = q + 0.036. Which is the closest to 1? (a) 1 (b) -8 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*c. Put 1, -4, c in decreasing order.\nAnswer: 1, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 493982 (base 11) to base 12\nAnswer: 318075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24234*a + 24192*a - 1995 - 2373 = 0 for a.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7.684 * 13\nAnswer: 99.892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114 - -123 - (4 + -15) - 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -1\/8 (c) -0.39 (d) 1\/3 (e) 0.3 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -17*z - 6. Let s be y(-4). Let a = s - 37. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/388104 and -53\/66753888?\nAnswer: 66753888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 113350 + 1030?\nAnswer: 114420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 239.73747 - 0.03747. Round x to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 6*t - 67 + 5*t.\nAnswer: 2*t - 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 5*t + 5 - 41, 3*t - 16 = y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3 + 3 + 2*w. Let h(s) be the third derivative of -s**5\/60 - 3*s**2. Calculate h(f(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1325476 = -49*y - 1328857 for y.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29187189 or -29187188?\nAnswer: -29187188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 2*m - 2*c = -2016, -2*c = 4*m + 2008. Let z = m + 1078. What are the prime factors of z?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/143 and -53\/7.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3616, -14473, -32566, -57895, -90460, -130261, -177298?\n\"Answer: -3618*x**2 - 3*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23084 - 23084 - 11*i**3.\nAnswer: -11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -2*c**6\/5 + c**5\/5 - 569*c**3 + 2369*c. Find the second derivative of z(p) wrt p.\nAnswer: -144*p**2 + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 396223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 310? (a) -35 (b) 1\/4 (c) -51\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -4. Let h = 8 - r. Let f = -2 - 3. Which is the biggest value? (a) h (b) 0.5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -885 - 853 + 46*u + 1745.\nAnswer: 46*u + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 2*v = -34, -5*q + 435*v - 434*v + 32 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -125001, -124981, -124961, -124941?\n\"Answer: 20*l - 125021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l - 4*l - l)*(251*l - 86*l - 43*l) + (0 - 3 + 1)*(-l**2 - l**2 + 0*l**2) + 3*l**2 - l**2 + 0*l**2 + l + 2*l**2 - l to m + t*l + j*l**2 and give j.\nAnswer: -968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 0 - 12. Let d be (-10)\/(-35) + 43\/(-77). Let y = d - 2\/33. Does w = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1303545511.0000297 + 1303545696. Let k = 185 - c. Round k to 6 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1692669, 3385099, 5077529, 6769959, 8462389?\nAnswer: 10154819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25631.0000010585 + -25631. What is d rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 9 = -4*q, u = -2*q + 5 - 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**3 + 5*a**2 - 8*a - 2. Let x(d) = 2*d**3 + 3*d**2 - 5*d - 1. Suppose -13*n + 35 = -6*n. Determine n*j(l) - 8*x(l).\nAnswer: -l**3 + l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/345425157 not equal to -0.18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*o = -8. Suppose 5*x + 421 = -j + 1960, -2*x - o*j + 630 = 0. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3631591?\nAnswer: 17, 213623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -21*s - 23. List the prime factors of u(-7).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1537.\nAnswer: 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 563 (b) -0.27 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*a - 100 = 41*a. Let n(i) = -12*i - 2. Let y be n(-2). Let r = y - 4. Calculate the smallest common multiple of a and r.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1161315.\nAnswer: 3, 5, 131, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 1. Let w(m) be the second derivative of m**5\/20 - m**4\/3 - 2*m**3\/3 - m**2\/2 + m. Give w(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - -0.1. Let s = n - 0.8. Let w = 1.7 + -2. What is the closest to s in -4, -0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-12\/11)*z*z*z*z**27*z assuming z is positive.\nAnswer: z**(329\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = s - 17, -z = 3*s + 3*z - 26. Let y be 0 - (2 + 0 - s). Let o(w) = 4*w + 210. Let k be o(-53). Sort k, y, 2 in descending order.\nAnswer: 2, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20944 divided by 10472\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 96 = -5*p - 0*m, 3*p = 3*m - 45. Calculate the remainder when 51 is divided by (-230)\/(-18) - p\/81.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2*-26.913619.\nAnswer: 32.2963428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1330)\/912*(-104)\/65*60\/(-14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49*h**2*x**3 + 47*h**2*x**2 - 4*h**2*x - 994*h*x**3 + h + 2*x**3 - 2*x**2 + 8 wrt h?\nAnswer: 98*x**3 + 94*x**2 - 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 11:51 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/6*0\/1. Suppose g = -3*l + 3*t + 21, 7*l - t = 2*l + 19. Suppose -5*v + 18 - l = 0. Solve -2*z = -2*c - 6, -3*z + 13 = -2*c - v*c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -824 (base 12) to base 16.\nAnswer: -49c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 - -43. Let d be ((-36)\/27)\/(2\/w). Let h(r) = -2*r**3 + 7*r**2 + 9*r + 1. Is h(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93047, 184485, 274315, 362531, 449127?\nAnswer: 534097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + -10 - (58 - 239 - -89).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41.8 + -6.8. Let w = 35 - g. Which is the smallest value? (a) 0.6 (b) -5 (c) w (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -258*j - 152*j - 1766 - 3974 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**3\/3 - 37820*m**2 + 268927044*m - 10430709588 = 0.\nAnswer: 39, 14163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/((v\/(v**(-25)\/v))\/v))))**(-4\/7)\/(v**13\/(v\/(v\/((v*v**(-13\/3))\/v)))) assuming v is positive.\nAnswer: v**(-64\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 s when four letters picked without replacement from {d: 7, s: 4, x: 4, k: 3}?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-4) - (-6 + (-2205)\/14).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*u**5 - 7540152*u**4 + 10053776*u**3 + 36863072*u**2 - 26809856*u - 53619200 = 0.\nAnswer: -209450, -4\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -3 + 4 + 10 + -12 + -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.258 * 17\nAnswer: 4.386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72930 and 6516950?\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + -215?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 930 and 1125215835.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-945)\/(-20))\/(-7))\/(4 - 57\/12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*r + 100*r - 18 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -4 - (-33 - -25)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a micrometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2 - 2 + 3 - f. Let y(h) = 12*h**2 - 20*h - 20. Let k be (520\/(-364))\/(1\/14). Calculate k*v(q) + y(q).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 3. Suppose m + 4 = 3*k + 3, -5*k = 4*m + 4. Let n(j) = -8 + k + 7. Suppose -2 + 10 = -4*a. Calculate a*n(s) - z(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1) + (-7 - (7 + -53 + 18)) + -21?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5800877139 to the nearest integer?\nAnswer: 76163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 2*i - 33, -2*v - v = -4*i + 1. Suppose 36*z - 50 = 26*z. Factor z*r - 5*r + 2*r**2 + 2 + i*r + 0.\nAnswer: 2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -213805, -214121, -214437, -214753, -215069, -215385?\n\"Answer: -316*t - 213489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -427*p*y + 18*p + 60480*y wrt p?\nAnswer: -427*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*-6*5\/45 + -4. Let q be 3\/(-2)*4\/(-3). Solve f = q*r + 13 - 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 40 and -23534364.\nAnswer: -23534324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-3*sqrt(475) + -1 - sqrt(475)))**2*-1.\nAnswer: -7616 + 160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 4*s - 1. Let l be (-4)\/6*-1*(-186)\/(-4). Suppose 3*t + 2*f = -15, 5*t + 2*f = 6 - l. Give j(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1019*j**3 + 639*j**3 + 1866*j**3.\nAnswer: 3524*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -361, -542, -721, -898, -1073, -1246, -1417?\n\"Answer: q**2 - 184*q - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 51. Determine m(11).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 8 - 1)*(-4 + 4*y + 4).\nAnswer: -32*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 4*j**2 - 6*j - 3. Let b be (1 + -3)*20\/8. Let o be d(b). Let x = o + -2. Which is smaller: x or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 316200 divided by -1.\nAnswer: -316200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*g**3 + 3*g**3 + 1872 - 698*g + 332*g**2 - 886*g.\nAnswer: -4*(g - 78)*(g - 3)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 14*o**5\/3 + 332146*o**4 + 5124274*o**3\/3 + 2514654*o**2 + 1138704*o = 0.\nAnswer: -71169, -3, -8\/7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d - 5. Let l be o(-4). Suppose r + l*r = 12. Suppose r*j - 13 = -h, -h = 2*j - 15 + 5. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1935709.864 rounded to the nearest 100?\nAnswer: 1935700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 121, -5, 3, 5, -1 in ascending order.\nAnswer: -5, -1, 3, 5, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/14 and 50\/217?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 7:14 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2835 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 61 = 2*d + 8*c, -3 = -c. Let k = 25 - 25. Suppose -3*a + 6 = -k*a. Solve -4*z = 3*u - 21, 0 = -5*u - 2*z + d - a for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1586, 4, 337 in descending order.\nAnswer: 1586, 337, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/2 of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 6 - 5*t - 3 to the form r + k*t and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 9*i = 24. Let c(n) = n**3 - 7*n**2 + 6*n + 2. Determine c(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 9\/5471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4178856 divided by 2089428\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 14*n - 2. Let o be a(14). What is the tens digit of (-3 - o) + 24 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 451*d = 1022*d - 493*d + 1716 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14627 is divided by 3648.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide (-4)\/6 + 49940\/66 + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 816.3365 litres in millilitres?\nAnswer: 816336.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4 - 1 = 0. Let d = -205 + 1843\/9. Do h and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - (-3 - 102\/(-9))) + 5. Which is the closest to -1\/3? (a) -2\/9 (b) n (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -26, -86, -178, -296, -434, -586?\n\"Answer: v**3 - 22*v**2 - v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 + 529680*z**2 + 1059372*z + 529688.\nAnswer: -4*(z - 132422)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/3, -4\/7, 1\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of 11*c**4\/12 + c**3\/3 - c**2 - 170*c. Let j(o) = 27*o**2. Calculate m(j(y)).\nAnswer: 594*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**2 + 36378*b - 110279907 = 0.\nAnswer: 6063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 22.6, 0.4, -3\/4, 138?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567443.\nAnswer: 17, 29, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 7505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2 = 2*m, -4*m - 3*b + 2*b = 16. Put -3, -10, m in decreasing order.\nAnswer: -3, m, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.452458ml?\nAnswer: 0.007452458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 3*k**5\/40 - 3*k**3 + 24*k + 1. Let j(y) be the second derivative of f(y). What is j(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 52 = v + 22, 3*z = -v - 19 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2043894043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 12:21 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -10750*g**2 + 135*g + 1. Let n(d) = 4*d. Calculate n(l(s)).\nAnswer: -43000*s**2 + 540*s + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -472 - -820. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o. Let d(f) = -8*f**2 + 2*f**2 + 3*f**2. Determine a(d(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*l*m**3*u - 334281*l*m**3 - 531*l*m**2*u + 2*l*m**2 + 1441*l*m*u - 2*m**3 wrt m?\nAnswer: -66*l*u - 2005686*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2207 - -35\nAnswer: 35.2207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293*n + 351*n = 0. Determine q, given that 0 + 2\/9*q**2 + n*q = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/70)\/((-544)\/(-40) - 14). Which is the nearest to 1? (a) 6 (b) t (c) -2\/3 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 183*w + 180*w + 9 - 356*w + 3 in the form i*w + p and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3*d + d - 43392. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-1 - (-5)\/(-10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.07 + 0.07. Let c = x + 21. Let v = c - 6.999941. Round v to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28*84\/(-147)*(-369)\/164?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 685*m + 687*m - 1, 5*m - 7 = 7*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 s, and 1 o when three letters picked without replacement from szogoogiooooooooo?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 330 + -332. Which is the second smallest value? (a) 6 (b) 0.05 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 12581?\nAnswer: 12585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2376 and 36969?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 i when four letters picked without replacement from {i: 2, c: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, u: 12}. What is prob of picking 1 n and 1 u?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/3, 0.6, 3, 62.4, 0?\nAnswer: 62.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7835 - 4324. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 1198*q - 2400*q + 1203*q + 3. Let f(s) = -2*s. What is k(f(n))?\nAnswer: -2*n + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(228\/8)*-3. Which is the third smallest value? (a) -1 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 3:28 AM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20276 is divided by 31.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7573 + 253 = -371*q + 55*q - 24722 for q.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.25146 centuries in decades?\nAnswer: 302.5146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 1:19 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lcwwwvlclgwwwggwwww. Give prob of sequence cc.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14650 and 139750?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = -3*p. Let f = p - -16. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvxn when four letters picked without replacement from hnvjx.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 184 - 661 = -281. Solve l*i - 22 - 62 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 1, 142.\nAnswer: -1, 0, 1, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -11*y**3 - 3*y**2 - 2*y - 3. Let u be n(-2). Let l = 70 - u. Calculate the common denominator of (l\/(-84))\/(40\/309) and 93\/16.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4 = -3*a + 10, 5*a = 0. Differentiate -14 - 4 - o*v**3 + 18*v**3 + 4 with respect to v.\nAnswer: 33*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/547? (a) -4 (b) 4\/7 (c) -0.4 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 864*m + 1 + m**2 - 866*m - 4*m**2 + 2*m**2 in the form w + d*m**2 + c*m and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 1. Suppose -j*d + 35 = -4*v, -d = -0*v + v + 2. Solve -d*m + m = -2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55294?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/587 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 130\/7 (b) 4\/3 (c) 1\/2 (d) 23 (e) -1\/3 (f) -5 (g) -9\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 41 = -3*k - 52, 3*f = -5*k + 93. Suppose -10 + f = h. Let p(z) = h - 21 - z**2. Let u(g) = -7*g**2. Calculate u(p(y)).\nAnswer: -7*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 90*p**2 - 445*p - 12604. Determine j(96).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -294 - -802. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 6 - 4)*(65 - 3*c - 5*c - 66).\nAnswer: 40*c + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 724, 2 in ascending order.\nAnswer: 0, 2, 724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.8097 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -107 + 151 + 47 + -97?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -177*f**4\/2 - 1805*f**2\/2 + f - 2506. Find the first derivative of k(i) wrt i.\nAnswer: -2124*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 4*h - 11 - 8 = 0, 10 = -5*f - h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r**2 + 3*r - 16. Let i(j) = -6*j**2 + j - 26. Let p(d) = 6*i(d) - 7*t(d). What is p(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 516\/1067 - -6\/97. What is the nearest to -1\/2 in y, 3, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3305*u - 3276*u - 6 - 3295*u + 2*u**2 + 9876*u + 6.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 3)*(-2*j - 2 + 2) + 3*j - 1 + 1 + (27 - 27 + j)*(5 - 2 + 0).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s + 2382 = 3*z + 17*s, 3*z = -4*s + 2385. Solve 795 - z = -4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131134?\nAnswer: 2, 173, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 7*k**6\/180 - 5*k**4\/24 - 2*k**3\/3 - 3. Let w(j) be the third derivative of z(j). What is the first derivative of w(o) wrt o?\nAnswer: 28*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*s + 114 = 64*s - 206 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26003 or 26000?\nAnswer: 26000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5498281 or 1?\nAnswer: -2\/5498281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-45)*(780\/8 - -6). Solve -12*v = 11*v + a for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(484)*-4)\/((-1*sqrt(4)*-2)\/sqrt(2)).\nAnswer: 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnmnmnnnnmnqqn. What is prob of picking 3 m?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*g**3\/7 + 6*g**2\/7 + 486*g\/7 - 486\/7.\nAnswer: -6*(g - 9)*(g - 1)*(g + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 28027.77mg?\nAnswer: 28027770000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1029351033*k**3 - 1784*k**2 - 20*k - 3292.\nAnswer: 6176106198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2366177098 to the nearest integer?\nAnswer: 48643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111001 - 1?\nAnswer: 101111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a**3\/3 - 157197*a**2 - 4244562*a = 0. What is a?\nAnswer: -27, 0, 471618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {q: 9, l: 2}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2119948, -3, 7 in decreasing order.\nAnswer: 7, -3, -2119948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -119\/2 - -58. Let j = 10 - 7. Let o be (-2)\/(-3) - (-44)\/(-33). What is the closest to o in j, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a meter in millimeters?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 946683760?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 65172388 divided by -443\nAnswer: -147116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5726574 and 1636164?\nAnswer: 11453148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**3 + 5*j**3 - 45*j - 21*j + 40*j.\nAnswer: -3*j**3 - 26*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 4:32 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65 + -142. Let z = 73.7 + p. Let s = z - -3.30076. Round s to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 10:16 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-24170)\/(-45))\/(5\/45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 107*y**2 + 829*y - 4205. Give v(5).\nAnswer: 2615","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -929.0000016837 + 929. What is o rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**4 - g**4 + g**4 + (2*g**3 - 5*g**3 + 5*g**3)*(-g + 0*g + 3*g) + 13*g**4 + 276038*g + 175*g**4 - 30 - 276040*g.\nAnswer: 194*g**4 - 2*g - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 27.68 and 58.\nAnswer: 1605.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23939 - 24017 = -2*p. Calculate the remainder when p is divided by 31.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 6*h**2 - 2. Let m be i(6). Let u be 6\/3 - (-10)\/1. Let b = m + u. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -465*a**2 - 12*a + 24. Let u(i) = 4*i**2 + i - 2. Give -b(y) - 12*u(y).\nAnswer: 417*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/2)\/(3\/(-6))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/24*-2)\/(34600\/(-2595))?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -3. Calculate the remainder when c is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 1142, -3, 0 in ascending order.\nAnswer: -3, 0, 55, 1142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.4 + 155.4. Let a = 145.62 - r. Let g = -0.48 - a. Which is bigger: -0.1 or g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50*(-30)\/(-7500)*10\/(-44).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**5 - 76*y**4 + 234*y**3 - 236*y**2 + 79*y = 0?\nAnswer: -79, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -16114 divided by -4427\nAnswer: 16114\/4427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -135720 + 135722. Let l = -2.03 + 0.03. What is the closest to -3 in i, 0.3, l, 9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 456.3 + 124.7. Let m = 580.8 - k. What is the nearest to 1 in 53, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/3)*u**1*(u**(2\/5))**(-9\/4))\/((((u\/(u**(-2\/3)\/u*u))\/u)\/u)**(-1\/52)*(u*u*u*u\/(u*u**4))\/(u*u**(-1\/3))) assuming u is positive.\nAnswer: u**(853\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1143840889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101000021 + 2?\nAnswer: 101000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50091917 divided by 4.\nAnswer: 50091917\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 23879122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, q: 1, k: 3, b: 3}. Give prob of sequence qbb.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -16*a**2 + 0*a**3 + 7*a**3 - 6*a**3 + 4 + 20*a**2 + 4*a**3. Let c(j) = -6*j**3 - 5*j**2 - 5. Let o = 7 + -11. Calculate o*c(l) - 5*x(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-12) - 5\/4. Let o be 2\/(-14)*(-4 + 2). Let i = -0.53 + 0.03. What is the nearest to o in b, i, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/4948 and -51\/628.\nAnswer: 776836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z - 2*z - z**2 + 1 - 2*z + 2*z**2. What is the units digit of a(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -728 divided by 728\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 1 + 0 + 6. Suppose 2*u + 3 = -u. Let t = u + n. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*s - 209*s + 1422*s**2 - 216*s - 227*s + 868*s.\nAnswer: 1422*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 times -120.8?\nAnswer: -16428.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - -0.1. Let z = 3.92 + -3.52. Which is the third smallest value? (a) z (b) 0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -100*y - 107*y + 321*y - 93*y + 49 in the form r*y + m and give r.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aaaaapkkkakakkpaa?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 - -57. Suppose 0 = -5*g - u + 107, -194 + 178 = -g - 2*u. Calculate the remainder when c is divided by g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 b when four letters picked without replacement from {s: 2, u: 1, b: 7, r: 2}.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-144)\/(-120)*(-260)\/6. Let i(z) = -18*z**2 - 260*z + 278. Let o(n) = 2*n**2 + 29*n - 31. Let v(x) = s*o(x) - 6*i(x). Factor v(a).\nAnswer: 4*(a - 1)*(a + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 24 = -4*x, 5*x = -3*v - 735 + 749 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n**(2\/3)))**24*((n\/(n\/(n**(-2\/3)\/n))*n)\/n)\/((n*n**11)\/n))**(-50))**(-15\/4) assuming n is positive.\nAnswer: n**(-5375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(99) - (sqrt(44)*2)\/sqrt(4).\nAnswer: -11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 12 = 0, -4*s + 0*s + 1 = -5*y. Solve n = -5*x - 3, 5*x = y*n + 2*n - 15 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4944007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 22 = 2*b + 5*g, 3*g = 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6.7 - -0.83\nAnswer: -5.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10733609?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -131.09 + 26.49. What is m rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.18 (c) -2\/11 (d) 4 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p. Let u be q(-2). Suppose 4*b = 4*m + 28, 5*b + 42 - 14 = -u*m. Let x = 10 + m. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 548 = -2*t. Suppose -10486 = 130*g - t*g. List the prime factors of g.\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from kzekekwwwdkl?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0, 0.026, 0.1, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + k - 12, 3*k + 724 = 754 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -5*v - 154, -3*v + 4*n = n + 84. Let q be 24\/(-14)*v\/(-40). Which is greater: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*f*g**3*h - 2*f*g**3 + 28*f*g**2*h - 3*f*g**2 - f*h - 2*g**4 - 7*g**3 - 2*g**2 wrt g.\nAnswer: 42*f*h - 12*f - 48*g - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-3)*(128\/48)\/((-344)\/(-129))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -2)*2\/(-8)*-2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/1335 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 98 - 15774\nAnswer: -15676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*h = 2, 3*h = 2*h - 2. Suppose 0 = -5*o - 10, 0 = -l - 0*l - b*o + 46. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 915950948 to the power of 1\/2, to the nearest integer?\nAnswer: 30265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*w = -37*w - 1415 + 58 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 0 + 2*t**2 + 0 - t. Let x(m) = m**2 - m. Suppose -22*q = -p + 260, -11*p = -17*p + 5*q + 36. Calculate p*x(w) + 5*v(w).\nAnswer: 6*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-2))\/((-3)\/6). Suppose 68 = -7*t + 3*t. Let g = o - t. Calculate the lowest common multiple of g and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11328 (base 9) in base 11?\nAnswer: -5752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.245 - 0.2450127. What is v rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1343\/77894 - 753\/(-58)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + 87426.7.\nAnswer: 87425.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6355512580 to the power of 1\/2, to the nearest integer?\nAnswer: 79721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4857*z**2 + 3*z + 2. Let x be r(-1). Suppose 2*i + 0*i + x = 4*g, 2 = -i. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 bigger than 100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - ((-20 - 32) + 21).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -3. Let x = 0 + 0. Suppose x = k + 2*k + 6. Which is greater: k or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 + -93. Let l = -2069 - -10347\/5. What is the closest to l in -0.33, 4, s?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19608 - -19609. Calculate the highest common divisor of 395 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 399 + -397. What is the closest to -2\/7 in 1\/2, 2\/3, i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = 5*x - 17, 2 = -v - 0*x + 4*x. Let b(h) be the second derivative of 1\/4*h**4 + 0*h**v + 0 + 0*h**3 + 12*h. Let a(p) = p**2. Calculate b(a(t)).\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*a + 128298 + 36874 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 - 35. What is the units digit of (v\/((-6)\/996))\/((-1)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 8 = -4*b, -b = -5*m + 81. Suppose 2*a - 4*g - 90 = 0, -2*a - g + 198 = 2*a. What is the remainder when a is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30271 or -2149212\/71?\nAnswer: -2149212\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 18*b**5 + 58*b - 2. Let t(l) = -72 - 58*l + 152 - 77 - 18*l**5. Let d(z) = -3*s(z) - 2*t(z). What is the second derivative of d(x) wrt x?\nAnswer: -360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 12 = -t, 0*t = -t + 3*f + 9. Let g(n) = -2*n**2 + 35*n + 21. Let h be g(t). What is h rounded to 1 dp?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 1802?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/2)\/(-3 + 4). Let u be -7 + 7 - (-4)\/t. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52991510 divided by 4817410.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 5:20 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3299640?\nAnswer: 2, 3, 5, 31, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.02, 20, 107, 1\/2, 0.05?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 6*b + 7. Let y be w(-7). Solve -h = -2*c - 2*h, -2*c - 5*h = y for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2. Let h(t) = -2*t**3 - 3*t**2 - 41*t. What is -h(q) + 3*y(q)?\nAnswer: 2*q**3 + 41*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aawwwaww. Give prob of picking 2 w and 1 a.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -23530 times 2\nAnswer: -47060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 52 = x, -3*x - 3432*i = -3436*i - 44 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1398*s + 1400*s - 12680. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129630, -129624, -129604, -129564, -129498, -129400, -129264, -129084?\nAnswer: -128854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 361.71949 to the nearest 10.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**4\/12 + 4*p**3\/3 + 2*p**2 - 3*p. Suppose 0*a + 8 = a. Let g be s(a). Solve q + n = 7, -2*q + g = -0*n - 3*n for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 5*b - 4. Let d be c(6). Let i be (d + 18\/(-8))*-4. Let m be (-2)\/2 - (-7)\/i. Solve -m = p - 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2494925150 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**4 - 2*x + 2*x + (0*x**2 + 0*x**2 + 4*x**4)*(-5 + 3 + 4) + (-2 + 1 + 2)*(157*x**4 + 3233*x - 3233*x).\nAnswer: 166*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 7:07 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 13*i - 37. Determine r(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 151604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-4 - (-3 - -1) - (-27 - -32)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**5 - 58*v**4 - 889*v**3\/3 - 1076*v**2\/3 + 1040*v\/3 - 64 = 0.\nAnswer: -12, -4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 97464 - 97460. Let -2832\/5*z**2 + 2596\/5*z**3 - 484\/5*z**d + 784\/5*z - 64\/5 = 0. What is z?\nAnswer: 2\/11, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10859 divided by -1?\nAnswer: -10859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83 - 585\/7. What is the smallest value in y, -1, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -103*q**2 - 3409*q + 30. Is 36 a factor of p(-33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + o + 2*o = 0, o = 4. Let j = v - -14. List the prime factors of 4\/j - 3\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000154432 to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(3 + -2) + 103. Let b = 2 + -2. Suppose b = -k - 2*t + 18, -5*k - 3*t = -10*k + n. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t - 18*t - 346 = q, -112 = -t + q. List the prime factors of t.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i - 2*i + 2*i - 10. Let w be (-952)\/161 + 38\/(-437). What is o(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 1 - 1, -3*z = -5*v - 4. Find the common denominator of 125\/12 and ((-120)\/432)\/(z\/300*2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 - 64. Let x = m - -41. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 4*g**2 - 4*g - 4. Suppose 4 + 7 = -j. Let l be (1 - 0)\/(j\/(-55)). Give t(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 31*r + 1263. Give c(-42).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 39, -12 in increasing order.\nAnswer: -12, 2, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 63912818*x**5\/9 + 234384686*x**4\/3 + 319978660*x**3\/3 - 1723949636*x**2\/9 - 1017290*x\/3 - 150 = 0. Calculate x.\nAnswer: -9, -3, -5\/5653, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/23 + 2*g**3\/23 - 20*g**2\/23 + 16*g\/23.\nAnswer: 2*g*(g - 2)*(g - 1)*(g + 4)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide ((-27)\/(3\/(-1)))\/(2\/60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-2 + 17 + 2). Calculate the greatest common factor of 153 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 477*b**2 - 248*b**2 - 245*b**2.\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2557407?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*k = -2*k + 25, 3*h - 5*k = 5. Suppose h*m = -793 + 4758. Suppose -7008 + m = -11*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**5\/180 + k**4\/72 + k**3\/9 + 3*k**2\/2 - 7*k. Let f(v) be the first derivative of l(v). Determine u, given that f(u) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.354862854 to 2 dps.\nAnswer: -4.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(16\/84) + (-324)\/(-54). What is the nearest to 0.1 in -3, 0.8, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270605 times -89?\nAnswer: -24083845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 5*i - 14 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, a: 8, w: 3, v: 6}. Give prob of sequence vaa.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -9474*n**3 - n**4 + n + 9474*n**3 + (1 - 1 + 2*n)*(0*n**3 - n**3 + 0*n**3) as a*n**4 + p*n**3 + m + y*n + q*n**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/6*(-43)\/(-86)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3956 - -4.3956. Let r = -0.276 + 0.076. Which is the second smallest value? (a) g (b) r (c) -3 (d) 60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 2:20 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5975 minus 0.1?\nAnswer: -5975.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -104 - 285?\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**4\/2 - 37820*a**3 + 605061*a**2\/2 - 189055*a - 1890800 = 0 for a.\nAnswer: -2, 5, 75632","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 55519\/290 at most 191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 104410340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/6)\/((-13)\/(-3) + -4). Let a(s) = 2*s + 1. Let k(p) = -p**2 + 8*p + 4. Let q(j) = n*a(j) + k(j). Let x(r) = 2*r**2 - 10*r. Determine q(x(b)).\nAnswer: -4*b**4 + 40*b**3 - 100*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -27. Suppose 664 = 3*k + 5*d - 10*d, k - 214 = -g*d. Is 56 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 25 = 3. Find the third derivative of -15*z**2 - 18*z**2 - 3*z**3 - 10*z**2 - 10*z**g wrt z.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 471 - 881*f - 883*f - 932*f + 2695*f.\nAnswer: -f + 471","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 451*l - 334*l - 567 = -450*l. Suppose -5*t - 2 - 8 = 0. Sort -15, 0, t, l.\nAnswer: -15, t, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*c + 14*c - 16. Suppose 3*n + c*n - 119 = 0. What is the first derivative of -42*q - n*q**2 - 31 + 42*q wrt q?\nAnswer: -34*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-21)\/(-5) + 5 + -10. Let f be (-4)\/(-6)*(-6)\/(-2). Let b = -2 + f. Which is smaller: o or b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -454600132?\nAnswer: -454600135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + t + 0*t)*(-4*t - 2*t + 4*t + (-1 - 1 + 4)*(56*t - 188596 + 188596)).\nAnswer: 220*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 6*h + 2. Let b be a(0). What is the second biggest value in -0.08, -2, b?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-39)\/(8 - (-9 - -18)). Solve 4*p - 17*p + w = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-90)\/35)\/(1\/7). Let a be 7 + -1 - u\/(-6). Suppose 3*i + i - a*r = 65, i + 1 = -5*r. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 7:42 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 681196825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + f + 8. Let o = 2 - 2. What are the prime factors of c(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -7*a**3\/2 - a**2\/2 + 2*a. Suppose 4 + 6 = -5*s + 5*b, 0 = -4*s - b - 3. What is the units digit of n(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**4 + 50*k**3 + 40*k**2 - 50*k - 45.\nAnswer: 5*(k - 1)*(k + 1)**2*(k + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2461901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30\/19 + -747\/76. Let z(v) = v**2 - 6*v - 1. Let k be z(6). Calculate the common denominator of k\/(-6) - 2\/9 and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001011111111000010011 (base 2) to base 6.\nAnswer: -125211111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -9*b**5\/100 - 37*b**4\/20 + 27*b**3\/10 + 39*b**2\/10 + 6*b - 100. Suppose j(v) = 0. Calculate v.\nAnswer: -13, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1513876000 to the nearest 1000000.\nAnswer: -1514000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2 = -0. Let w(y) = 13*y**2 - y + 13 - 6*y**2 - 6*y**n. Let l(o) = -o**3 + 10*o**2 - 6*o - 27. Let k be l(9). Calculate w(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 u when two letters picked without replacement from ruyuyuttrqruuuru?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14061343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -45*r**8\/56 - 29*r**4\/6 - 64*r. Find the third derivative of d(f) wrt f.\nAnswer: -5400*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-17)\/(-77) + 4\/28. Let p = -1\/33 + y. Sort -2\/3, p, -8\/5 in ascending order.\nAnswer: -8\/5, -2\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*n - 2*n. Calculate the highest common factor of n and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + w**2 + 63. Let i be s(0). What is the highest common factor of i and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3d229c (base 14) to base 16.\nAnswer: -2054f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1\/2, 69, 2\/11, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 459\/52 + -4457\/312. Suppose 2*r = -0*r + 40. Find the common denominator of c and 3\/3 + (-91)\/r.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*(sqrt(171) - ((sqrt(171) - ((sqrt(171) - (sqrt(171) + 0)*2) + sqrt(171))) + sqrt(171))) - (-2*(1 + sqrt(171))*5)**2).\nAnswer: 3075*sqrt(19) + 86000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/(-6)*28\/(-35). Let b(k) = 3*k**2 + 2*k. Let i(l) = -l**2 - l. What is m*b(p) + 4*i(p)?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3650603 to the nearest integer?\nAnswer: 1911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 5*s - 81 = 0, 55 = 5*d + 924*s - 927*s for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 85048 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20006 + -11695. Is s a multiple of 216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4038491881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 20. What is o(13)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 152512302 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 445 + -444. Which is the nearest to j? (a) -2\/5 (b) -5.7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 232062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390 = 5*q - 0*q. Let c = 5346 - 5210. Let p = q + c. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r**3 + 97*r**2 - 244*r wrt r.\nAnswer: 12*r + 194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58654 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5558 + -5564. Put -5, 4, a, -10 in decreasing order.\nAnswer: 4, -5, a, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -16. Solve -i*t = -5*t + 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22393.95 minutes to milliseconds.\nAnswer: 1343637000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 12*l - 6*l - 3*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/8*-4*10. Let b be (-2 + 41\/2)*2. Suppose 0 = m*f - b + 2. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 567 divided by 11?\nAnswer: 567\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 + 91*w + 5*w**2 + 233 + 7*w**2 - 11*w**2 + 156.\nAnswer: 3*w**2 + 91*w + 389","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2112.18 rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-180)\/9)\/40*4\/(-18).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/3))**(-11))**29 assuming z is positive.\nAnswer: z**(-319\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -721*b**2\/2 + 8491. Let h(k) = -2*k**2. Calculate p(h(f)).\nAnswer: 1442*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 180\/(-4)*(-4)\/(-8)*20\/(-30)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*u + 14 with respect to u.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 168 - 168 - 3*u**2 - 6*u**3 + 2*u**3 + u**3 - 5*u**3 + (3*u - 2*u + 0*u)*(-3*u**2 + 5*u**2 - 4*u**2) as p + y*u**2 + g*u + t*u**3 and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 471 divided by -2?\nAnswer: -471\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**8\/8960 - g**7\/840 + g**6\/192 - g**5\/80 + g**4\/24 + 13*g**2. Let m(a) be the second derivative of t(a). Factor m(r).\nAnswer: 3*(r - 2)*(r - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*d = -172*d + 2262 for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1263*x**5 - 1065*x**2.\nAnswer: -75780*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**2 + 68*t - 27. Let u(z) = z**3 + 2*z**2 + 3*z + 16. Let s be u(0). Let k be p(s). Solve 0 = -k*w + 35*w + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5 = -1, 25 = -2*n - l. Let i = n + 14. Suppose i = -0*f + 2*f, 4*b = f + 11. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*z - 1237 + 13447 + 1464 = 0 for z.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53319\/4 - -13329. Which is the closest to 0.257? (a) o (b) 0 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -75.343971 to two dps.\nAnswer: -75.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3233351 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - t - 5*t = 0, -4*y + 3*t = 2 + 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, -1165, 434\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/23))**(-2\/99)*(((g**(-2\/9)\/g)\/g)\/g*g)**(-2\/123))**24 assuming g is positive.\nAnswer: g**(77024\/93357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 11\/5208?\nAnswer: 11\/5208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kjjjjkjjjj. Give prob of picking 1 k and 3 j.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.097 rounded to one decimal place?\nAnswer: -48.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i**2 + 15*i - 6. Let j(x) = -x**2 + 2*x - 1. Let d(u) = -6*j(u) + t(u). Let f(s) = -2*s**2 - 4*s. Let k be f(-3). What is d(k)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5273358, 5273370, 5273382?\n\"Answer: 12*j + 5273346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 223339 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1279*y**2 + 2*y**3 - 574 + 2555*y**2 - 1277*y**2 - 375 with respect to y.\nAnswer: 6*y**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 86 + 28?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -173\/56 + 27\/8. Let p = 3.08 + -2.88. Suppose -5*h + h = -12. Which is the second biggest value? (a) p (b) m (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -5 + (1 - (-4 - -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.71 + 4739\nAnswer: 4740.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 953*w**2 - 12*w + 11. Does 7 divide d(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1056\/792 + 134\/(-105). What is the closest to 2\/5 in -1\/12, -2\/3, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -7*s - 14. Let l be y(-3). Suppose l*w + 16 = -19. What is the least common multiple of 26 - (20\/w + 8) and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693581026 to the power of 1\/2, to the nearest integer?\nAnswer: 26336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54 - 54 + 27*v)*(6 - 113 - 96 - 21).\nAnswer: -6048*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.11833 + 0.10167. Sort u, 26, -1\/5 in decreasing order.\nAnswer: 26, u, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -887*i**3 - 828 + 796*i + 829 + 883*i**3 + (-3*i**2 + 6*i**2 - 4*i**2)*(-i - i + 4*i).\nAnswer: -6*i**3 + 796*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, -0.5, -666.77, -2\/5, 11\/3, 4\/5?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c + 3addaa?\nAnswer: 3add6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4)*(3*y - 2*y - 2*y) + 0*y + 3*y - 4*y + 4455*y + 4564*y - 7585*y.\nAnswer: 1432*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -411 and 58.\nAnswer: -23838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 + 2*h + 29. Let m(o) = o**2 - o - 1. Let b(k) = -g(k) - 3*m(k). Let q be b(0). Let f be (-3)\/9 - q\/6. Solve -f*w + w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350019693.68 minus 519?\nAnswer: 350019174.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -100 + 96. Let w = -2 - 0. Let t be 2*w\/(1 - 2). Sort f, t, -6.\nAnswer: -6, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -7.4. Let k = 3.6 + v. Sort 0.2, k, -0.08.\nAnswer: -0.08, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000088986 rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*t + 1583 - 1487 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/129)*i)\/(i\/i**(1\/13)))\/(i\/(i\/(i*(i*i**(1\/14))\/i))*i**(-2\/3)) assuming i is positive.\nAnswer: i**(-2687\/7826)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*u - 37*u = 2*n - 18310, 0 = -2*n + 5*u + 18370. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5245977484.5 - 59\nAnswer: -5245977543.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 5*a**2 + 7*a**2 + 2*a**4 + 3*a - 12*a**2 as f*a**2 + v*a**3 + r + g*a**4 + d*a and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 161, 274, 387?\nAnswer: 500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -953*u - 27635. Calculate p(-29).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1088, -1073, -1054, -1031, -1004, -973, -938?\n\"Answer: 2*p**2 + 9*p - 1099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -187 - -491. What is the greatest common divisor of i and 532?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a - 98 = 122. Find the second derivative of -55*y**5 - 20*y**5 + a*y**5 + 22 + 2*y wrt y.\nAnswer: -1300*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 4, 8 in ascending order.\nAnswer: -4, -1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of h**4\/24 - h**3\/3 - 2*h**2. Suppose 0*o = 4*o - 24. Let u be l(o). Solve 0 = -f + 4*f + 5*v + 11, -12 = 4*f + u*v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1815.954 * 8\nAnswer: -14527.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 9:55 AM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*f**2 + 170 - 170 + 81*f**2 - 186*f**3 - 40*f**3.\nAnswer: -226*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 7 = 4*t - 5*v, -3*t + 2*v = -8. Suppose 0 = 3*p - 4*b - 13, -6*p - 33 = -11*p + b. Is 11 a factor of t + (-4)\/(-2) + p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 196 and 6974240?\nAnswer: 48819680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -892*t**2 + 443*t**2 + 447*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of l**5\/5 - 15*l**4 + 128*l**3\/3 + 244. What is the third derivative of p(z) wrt z?\nAnswer: 24*z - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkooookooookoooooo. What is prob of sequence kko?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 11*a**2. Suppose -3 = -33*b + 36*b. Let m be s(b). Do m and 34\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 3a8?\nAnswer: -3aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w - 1. Let d(l) = 130*l + 30. Give -2*d(s) - 60*z(s).\nAnswer: -500*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 5, -8\/13, 0.1 in descending order.\nAnswer: 5, 0.1, -0.5, -8\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 350684 smaller than 350288?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 25*g**2 + 968*g + 50. Let x be s(-21). Which is smaller: -1.195 or x?\nAnswer: -1.195","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14360446 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*((-30)\/(-150) + 4\/((-400)\/(-55))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*u - 15*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5\/7 - 62*b**4\/7 + 732*b**3\/7 - 4000*b**2\/7 + 9472*b\/7 - 6144\/7 = 0. What is b?\nAnswer: 1, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-2)\/(-4))\/(-15*40\/48)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 86806*d**3 - 29*d**2 - 9649727 wrt d?\nAnswer: 260418*d**2 - 58*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**4\/8 - 2*g**3\/3 - 30*g**2. Give a(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a day in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1281 is divided by 182?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -14, -18, -32, -62, -114?\n\"Answer: -u**3 + u**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53428430 by 2428565.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47 and 1363?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 678318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29652688?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -5*a**4\/3 + 575*a**3\/6 - 210*a**2 - 27*a. Factor d(k).\nAnswer: -5*(k - 28)*(4*k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1948247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8187 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*d = 360, 281 = 5*t - 5*d - 89. Solve t = -24*r + 25 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/10*10*(-5)\/20.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 37 = -39. Suppose -v = 5*x - 6*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68 + -33. Suppose 2*x = -q - 9. Suppose 0 = -9*s - 571 + 373. Is s at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*d - 25, d + w - 4 = 1. Suppose -2*n + q = -3, 0 = -d*n + n + 2*q - 4. Factor 1 + 0 + 2*g**n + 1 - 4*g.\nAnswer: 2*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -885 = 5230*w - 5215*w for w.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(14\/212) + 0. Let z be 0 + (r - 2) + -2. Let a = z + -42. Is 20 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.985287nm to millimeters.\nAnswer: 0.000003985287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**7\/420 + c**4\/24 + 3*c**2. Let i(y) be the second derivative of l(y). Let m(q) = 2*q. Give i(m(p)).\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 202754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + l**2 - l - 1. Let m = -265 - -259. Let z be (m\/(-8))\/(24\/768). Let h(t) = 9*t**3 + 8*t**2 - 8*t - 8. Determine z*a(j) - 3*h(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -34. Suppose q = -2*q. Suppose -2 = l + 4*v, -l + 4*v + v - 11 = q. Put 2, l, h in ascending order.\nAnswer: l, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/6 and 117\/34258.\nAnswer: 102774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - -4) + 14 + -11. Let i be 2*(-5)\/((-10)\/(-3)). Let d(b) = -b**2 - 5*b + 3. Let s be d(i). Calculate the highest common factor of s and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -341*x + 4187. Determine g(11).\nAnswer: 436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + 0 + sqrt(1053)) + -2)**2 + (sqrt(52)\/(-4*sqrt(16)\/sqrt(4)) - ((sqrt(117) + 1)**2 + (1 + sqrt(13) + sqrt(13) + sqrt(13))**2*-1 + sqrt(13))).\nAnswer: 2875*sqrt(13)\/4 + 16948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (10 + -7 - 12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-57)\/108 - (-3 - (-27)\/12). What is the nearest to -0.04 in 1, b, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h - 18. Let x be m(10). Solve -x*q - 3*q = -5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1052045424 (base 6) in base 11?\nAnswer: -6598068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5578 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**5\/60 + 5*i**4\/24 + 13*i**3\/6 - 121*i**2. Determine x(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 249 + -243. Suppose u*v + 1563 - 1587 = 0. Solve 0 = 4*b + 2*d + 16, -v*b - b - 29 = -2*d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 10:15 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 a factor of 13911660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -31*-5\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -191 + 97. Let c = p - -56. Calculate the remainder when (-4 - 2)*c\/4 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3284)\/6*3\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 12*w. Let b(a) = -20863788*a. Give b(h(i)).\nAnswer: 20863788*i**2 - 250365456*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 3*b - 16, 0 + 20 = -5*m - 2*b for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6807?\nAnswer: 3, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -4*k - 11, -2*t + 3*k = 4*k for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 0.3. Let b = 3\/2 - -1. What is the third biggest value in 1, b, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -93484 and -93477 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3*r**3 - 1.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (33 - (4 - -8))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -9*b - 100. Calculate the common denominator of ((126\/b)\/7)\/(-3) and -17\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -29*c - 9. Let v(s) = 7*s + 2. Determine -2*i(p) - 9*v(p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 6:30 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/29 in 2\/13, -19977, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n = -13*n - 52*n - 1265 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-4) + 45\/12. Suppose -b*k + 11 + 1 = v, -12 = -4*k - 4*v. Suppose 0 = -2*w - p + 176, k*p = 2*w + 16 - 200. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**2 - 329046*j = 0?\nAnswer: -164523, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 121\/(-22)*408\/374?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-15)\/(-10))\/(-3)*(-123356 + -46)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2275, -4738, -7201?\n\"Answer: -2463*v + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -105456374*q**2 - 75562830 wrt q?\nAnswer: -210912748*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - 2) + 7 + 1. Suppose m + 5*h = -21, m - 3*h + o*h = -1. Solve -t - m*c = 11, -t + 10 = -4*c + c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*c**2*i*k**2 + 144*c**2*i*k - c**2*k**2 + 8*c**2*k + c**2 - 7*c*k wrt i.\nAnswer: 11*c**2*k**2 + 144*c**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/10197 - 12071\/203940. Let c = -14509\/10 + 1454. Calculate the common denominator of c and u.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -223104 divided by -12.\nAnswer: 18592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 37360.64 grams?\nAnswer: 37360640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 37.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-21)*9\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -611929, -1223860, -1835791, -2447722?\n\"Answer: -611931*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 605*b**2\/6 - 10448390260*b\/3 + 90222197541539560\/3 = 0.\nAnswer: 189970732\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 158420578 to the power of 1\/2, to the nearest integer?\nAnswer: 12587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 190093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 7*p**2 + 4*p - 4. Let m be k(-6). Suppose 0 + m = 4*l. Is (-21)\/((l - -1) + -4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5329640 and 267814410?\nAnswer: 1071257640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 2*f - 4*f)*(9900*f - 9900*f + 272*f**2).\nAnswer: -2176*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r*r\/r**(1\/2)))\/(r\/(r\/r**1)))\/(r**(1\/8)*r*r**(2\/5)*r))**(-46) assuming r is positive.\nAnswer: r**(4623\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 7 + 0 + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6db2 - 2?\nAnswer: -6db4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1373022606, 1373022605, 1373022602, 1373022597?\n\"Answer: -g**2 + 2*g + 1373022605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -540*b*k*p**3 - 42*b*p - 2*b + p**3 wrt k?\nAnswer: -540*b*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -52 (b) 1\/21 (c) -2\/9 (d) 35 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1548706, -1548745, -1548818, -1548943, -1549138?\nAnswer: -1549421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -26, 2\/3, -6, -5?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-500)\/(-750))\/(((-3)\/(-36))\/(1\/(-2)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 4*x**5\/15 + x**3\/2 - 45*x**2\/2 + x - 1. Let l(h) be the first derivative of w(h). Differentiate l(g) wrt g.\nAnswer: 32*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3109, -6045, -8981, -11917, -14853, -17789?\nAnswer: -20725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 28546867 - -0.6\nAnswer: 28546867.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7)*v**(2\/5)\/v)\/((v*(v\/((((v*v**(-1\/4))\/v)\/v)\/v))\/v)\/(v**(2\/21)\/v))*(v\/(v*v*((v*v**(-7))\/v)\/v)*v*v**1*v)**44 assuming v is positive.\nAnswer: v**(179863\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*n**4 - 1)*(-93 + 18*n + 93 + (4 - 2 - 1)*(-2*n + 0*n + 0*n) - 5 + 66*n + 4 - 62*n).\nAnswer: -40*n**5 + 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (27\/24*-4)\/(-6)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 divided by 41?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77081?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 6836*g**2 + g - 2. Let q(y) = y. What is q(m(h))?\nAnswer: 6836*h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 - 233\/6. What is the common denominator of 45\/68 and y?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 87*j**2*p*u**2 + 2*j**2*p*u + j*p*u**2 - 9*j*u**2 + 7*u wrt j.\nAnswer: 174*p*u**2 + 4*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -14, -15, -12, -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by (156\/(-18))\/(18\/(-27))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a week in minutes?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33\/25 or -29347?\nAnswer: -33\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1605 or 2.13?\nAnswer: 2.13","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 11:55 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/19 in -0.1, -35882, 75, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 1029*z**2 + 235*z - 18. Let v(d) = -257*d**2 - 52*d + 4. Let a(k) = -2*n(k) - 9*v(k). Let m be (2\/(-6))\/(1\/3). Is a(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1345 (base 11) in base 16?\nAnswer: 6cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2005045 divided by -401009.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) -2 (c) 1\/3 (d) 57 (e) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1747.9983286 - -1748. Round y to four decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one tenth of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 175\/16 + -43\/4. Suppose -325 = -3*d - m, -8*d + 9*d = 4*m + 91. Let z = 106 - d. Do x and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 0) + -1 + (886 - 861).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4527*y - 103137. Give x(23).\nAnswer: 984","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 463 - 782. Let u = a - -559. 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: Let i(k) = -37*k**3 + 2*k**2 - k - 12. Is 14 a factor of i(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.272 - -300.728. Let w = 301.19 - d. Is w != 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -376*a**3 - 4*a**2 - 6*a + 113. Let o(u) = -375*u**3 - 3*u**2 - 7*u + 134. Let y(i) = -6*o(i) + 7*s(i). What is the third derivative of y(r) wrt r?\nAnswer: -2292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, g: 1, w: 3}. What is prob of sequence gk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44.6 - 41.6. What is the third biggest value in 0, p, 0.1, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13280 + -172646\/13. What is the closest to -0.1 in k, 1\/6, -48?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*x = -7*x - 0*p - 4*p + 6*p + 14, -p = -30*x + 86 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 13*l**2 - 158*l + 5. Let t(z) = 3*z**2 - 39*z + 1. Determine -2*o(d) + 9*t(d).\nAnswer: 2*d**3 + d**2 - 35*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0578 + 1?\nAnswer: 0.9422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33785 divided by -4.\nAnswer: -33785\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 5*t**3\/3 - 3*t**2\/2 + 196. Let x(a) = 19*a**2. Calculate p(x(i)).\nAnswer: 1805*i**4 - 57*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -174873, -2 in increasing order.\nAnswer: -174873, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7860 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3 + 7*z + 2 - 2 + z. Let t = -72 + 109. What is the remainder when t is divided by x(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 706668 * 1.1\nAnswer: 777334.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -1021*y + 40823. Calculate d(40).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 6)*(-z + z - z)*(8 - 8 + 7*z).\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 42, 36, 28, 18, 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 1 + sqrt(7))**2*4 - sqrt(28)\/(sqrt(20)\/sqrt(5)).\nAnswer: 15*sqrt(7) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*k**3 - 15*k**3 + 4*k**3)*(-1 + 2 + 5) to the form c*k**3 + o*k**2 + d + r*k and give c.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21201 - 21215. Which is the nearest to 2\/5? (a) 1\/6 (b) r (c) 1\/10 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**5\/120 - n**4\/12 - 5*n**3\/12 - 9*n**2. Determine z, given that v(z) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12628 and 1917524?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10021 (base 4) to base 13.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37584 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46619 - -89463. Suppose -54*p = -58*p + y. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6\/145 + -7\/29. Let q = -1 - -3. What is the biggest value in o, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-2)\/34*(-188 - -186) + 42426\/51 and 392?\nAnswer: 40768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -44*v - 303. Let y be b(-7). Let w(u) = -u**2 + 7*u - 5. Let d be w(6). Let m be 2 - -14*d*y\/(-30). Is -4\/11 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 10, b: 3, r: 3, u: 1, z: 2}. Give prob of sequence zbbn.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1348105?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1431824, -2863657, -4295490, -5727323, -7159156, -8590989?\nAnswer: -10022822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234155 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 - 39. Suppose w + g = -9. Let p = w + 25. Put 3, p, 6 in decreasing order.\nAnswer: 6, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 40, -6 in descending order.\nAnswer: 40, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 6*p**2 - 5*p + 4. Suppose 0 = -4*h + 16, 3*d = -2*h + 8 + 15. Calculate n(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-32)\/(-120)*(-6)\/4. What is the closest to h in -4, 1\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(16)\/(2*sqrt(2)))\/sqrt(4) - (sqrt(18)*1*-4)\/(sqrt(81) - sqrt(81)*-1).\nAnswer: -11*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 24691.65 to the nearest 100.\nAnswer: 24700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -p - 20. Let z = 0 - p. Let u = -63 + 63. Solve u = -3*c + z*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k**2 + 6*k**2 - 14*k**2 + (-k - k + 3*k)*(-k + 0*k - 3*k) + (3*k + k - 5*k)*(-5*k + 5*k + 13*k) to n*k + d*k**2 + i and give d.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 13 + 2 - 6 - 2*l + 8. Let z be y(7). Solve -25 = 2*d + z*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96101 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 228 and 1801884?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1780.7 and 0.366.\nAnswer: -651.7362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 18 and 100.5569794604.\nAnswer: 118.5569794604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, -14, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77757209.\nAnswer: 77757209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-21)*k**4 assuming k is positive.\nAnswer: k**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3d2 - 6?\nAnswer: 3cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**3 - 2*f**3 - 3*f**3)*((-2*f + 0 + 0)*(2*f - 3*f - f) - 7*f**2 + 4*f**2 + f**2).\nAnswer: -2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*u = -23, -2*j + 3*u + 6 + 1 = 0. Suppose 3*t + 3*s - 21 = 0, 2*s + 7 = 2*t - 3. Solve t = 5*d + j*g + 1, 3*d = -g - 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16930, 21237, 25544, 29851, 34158, 38465?\nAnswer: 42772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/10)\/(72\/15). Which is bigger: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = 10*s - 133. What is the highest common divisor of 81 and s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 193*h. Let d(g) = -15*g + 252. Let c(n) = -16*n + 336. Let p(b) = 3*c(b) - 4*d(b). Calculate p(i(u)).\nAnswer: 2316*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43701108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 925\nAnswer: -923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -4. Let i = 5 + p. Find k, given that -12*k**i - 2*k**2 + 2*k**2 + 11*k**4 - k**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -109 (c) 73 (d) -0.2 (e) -0.014 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*t - 1139 = 114*t - 164 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -14. Suppose 2*r = s*r - 55. Find the second derivative of 3*b**2 + r*b + 8*b**2 - b wrt b.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487861553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 41*i - 1878. Give u(46).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (1208\/(-56) + 9)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 22341321 (base 5) to base 4\nAnswer: 300232202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**2 - 186912247*h + 284611542 wrt h.\nAnswer: 2*h - 186912247","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**2. Let n(j) = -44*j**2. What is d(n(y))?\nAnswer: -5808*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 518798973?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-14))\/4*((-12)\/10)\/((-2794)\/1270)?\nAnswer: -6\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 6:45 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 3*q - 1. Let g be k(-4). Let x(w) = -w**2 + 3*w**2 - 2 + 0*w**2 + 3*w - w**3. Determine x(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -4. Let c = 0 - j. Let d = -0.3 - 0. Sort c, d, -5.\nAnswer: -5, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.78904 litres to millilitres.\nAnswer: 69789.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -308*v. Let i(z) = 2*z**2. Calculate h(i(m)).\nAnswer: -616*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) -0.014 (b) 0.1 (c) -11 (d) 0.4 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 42*z**2 - 2*z + 10. Let g be v(-6). Suppose 4*u = s - 157 - 341, 4*u + g = 3*s. Does 40 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-9) - (4 + (-134)\/30)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000012332 rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313867 is divided by 15689.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 5*d - 5. Let b(x) = 6*x**3 + 2*x**2 + 4*x - 6. Let v = -3 + 7. Let k(c) = 5*c**3 + 3*c**2 + 4*c - 6. Let j(h) = d*k(h) + v*b(h). Determine j(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -89, -129, -167, -203, -237, -269?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 494 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 9:53 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + w = -120. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*i = 14, 0*i + 3*i + 15 = 0. Calculate the remainder when 17 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 65444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 716 divide 44350472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 432497 greater than 432497?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 585137359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -1 (b) -1.01 (c) 1124 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -851 + 857. Let z be q*(-8)\/(-96)*0. Factor z + 9\/4*w**3 - 3\/4*w**2 - 9\/4*w + 3\/4*w**4.\nAnswer: 3*w*(w - 1)*(w + 1)*(w + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -535907\/36 - -104206\/7. Find the common denominator of l and 83\/378.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/63 + (-26)\/(-7). Let f(g) = 52*g**3. Let z be f(1). Suppose -p = -i + z. What is the remainder when i is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 435 - 6065\/14. What is the common denominator of ((-26)\/(-56))\/((10\/16)\/5) and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 307\/18. Suppose 5*d + 45 = 25. Let i(j) = j**3 + 4*j**2 + 2*j + 8. Let h be i(d). Which is bigger: h or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139277, -139250, -139241, -139256, -139301?\nAnswer: -139382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6*(-237)\/7)\/((-6)\/42). Suppose -584 = -2*a + 5*p, 2*p = -5*a + 5*p + s. Does 47 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 divided by 5?\nAnswer: -83\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -389 + 705. Let r = -296 + v. Solve r*w - 25*w = 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-4))\/(-2) - 4\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/1 - (3 - 1). Let z = -524 + 3235\/6. Find the common denominator of z and (-12)\/(-22)*-7*y.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13920 and 1015?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38\/5 in 2\/9, -3\/5, 5, -1\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 193716, 387433, 581150, 774867?\nAnswer: 968584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10963*s = -10960*s + 8963 - 32324. What are the prime factors of s?\nAnswer: 13, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55862520 a multiple of 911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14641 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(2*1)*(-6)\/(-9))\/((-980)\/21560)?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 321612943 to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*c = 2786, 102*x = 103*x + 3*c - 2746. What are the prime factors of x?\nAnswer: 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*-2705.605\nAnswer: 189.39235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 17, 12, 4, -9, -2, 2.\nAnswer: -9, -2, 1, 2, 4, 12, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 18*l**3 + 2*l**2 - 1. Let m(o) = o**3 + 10*o**2 + 13*o - 25. Let s be m(-8). Determine a(s).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -214050 - -35?\nAnswer: -214013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.546 - 0.434. Let w = o + 4. Let q = -0.22 + w. What is the nearest to -1\/3 in 4\/3, q, -2\/11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/5 - 6788*a**3\/15 + 1917608*a**2\/15 + 1281424*a\/15.\nAnswer: 2*a*(a - 566)**2*(3*a + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 124161448 a multiple of 5084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24307696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5585 * 220\nAnswer: -1228700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - s = 33, -5*i = -10*i - 4*s + 55. Is i bigger than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3870742.4 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-14) + (-64)\/(-28). Suppose -2*s + 81 = r, -s - q*r = 27 - 69. What is the units digit of s\/12*(-6)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from jlfiili.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, -0.3, -3\/7, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -100 + 110. Let n(g) = g**3 + 7*g**2 + 6*g + 2. Let q be n(-6). Suppose -4*z = -1632 + 1632. Solve z = q*c + m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -335724*h**5 + 698331*h?\nAnswer: -6714480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3186 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-16)\/24)\/((-2)\/(-36)). Let r be (o\/(-10))\/((-14)\/(-455)). Is 13 a factor of (2 + -1)\/(3\/r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1187 - -1124.1. Let p = s + 63. Let x = 0.37 - 0.07. Which is the closest to p? (a) 16\/3 (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-1))\/(-1737 + 1736)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - 1. Let t(k) = 6*k - 5. Let p be 12\/(-9)*-6 - 10. Give p*t(a) + 11*u(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8021.861nm?\nAnswer: 0.008021861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t**3 + t**3 - 5*t**3)*(69 + 70 - 49)*(t - 12*t + 0*t).\nAnswer: -1980*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1883.003 millilitres?\nAnswer: 1.883003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 10*v - 42. Suppose -v*y - 581 = -8*y. List the prime factors of y.\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -9*g + 49. Let i be u(6). Let m = 0.8 + -0.8. Is m greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/188, -7, 69 in decreasing order.\nAnswer: 69, 1\/188, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a millimeter in micrometers?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.281 rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.9+11902848.8851\nAnswer: 11902849.7851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92127 + 0.1.\nAnswer: -92126.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m**3 - 3*m**2 + 2*m + 5. Let n(x) = 3*x**2 + 5*x**3 - 2*x - 3 + 0 - 3. Let l(s) = 5*n(s) + 6*p(s). Let j be l(2). Solve j*z = -3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -15.355.\nAnswer: 30.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13532, 27703, 42524, 58001, 74140, 90947, 108428, 126589?\n\"Answer: y**3 + 319*y**2 + 13207*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 16 - 3*a**3 + 4*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*b + 18 = -7*q, -5*b = 5. Let g(h) = h**2 + 1. Let i(v) = -11*v**2 + 3*v - 6. Let u(f) = q*g(f) - i(f). Calculate u(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 336662 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 3*w - 8*w. Let x = -16 - w. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/269600 and 111\/337000.\nAnswer: 1348000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dodoojao. Give prob of sequence jo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (96 - 4 - (17 + 7 - 11))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 20. Let y = 8.05 + n. Let q = y + -0.35. Is 0 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, 0, -5628, 41.\nAnswer: -5628, -66, 0, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.6 + 70.6. Let l = -67 + q. Sort 5\/4, 3\/5, l, -18.\nAnswer: -18, l, 3\/5, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 347*c = 353*c - 74, 0 = 3*l - 2*c + 13 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 210 = 5*k, -3*w - 2*w = -15. Suppose -5*o = a - 38, a = 2*o + 2 + 1. Calculate the greatest common factor of k and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95694171 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.51021 + -0.51. Round f to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -0.4, 2\/5, 191\/21 in decreasing order.\nAnswer: 191\/21, 2\/5, -0.4, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 12, j: 7}. What is prob of sequence ijij?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1003021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/12 and 49\/92.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 10*w**3 - 4 + 4*w**2 + 3*w**2 - 4 + 1 - 9*w. Let a(p) = 7*p**3 + 5*p**2 - 6*p - 5. Let m be (-14 + 15)\/(1\/5). Determine m*i(o) - 7*a(o).\nAnswer: o**3 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 6*q**2 + 2*q - 2. Let c(x) = -x - 17. Let i be c(-18). Let r(g) = -g**2 + 1. Calculate i*m(s) + 4*r(s).\nAnswer: 2*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 109*q. Let n(p) = 2037*p. What is n(z(h))?\nAnswer: 222033*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-2\/9)*g**(-1\/9)*g**(-4)\/(g\/(g**(-4\/3)\/g))*((g**(-1)*g)**(-4\/21))**(-2\/35) assuming g is positive.\nAnswer: g**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -8*l**2 - 2*l + 184*l**3 - 180*l**3 + 6*l = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2))**(29\/2)\/(((k*(k\/k**(-1\/4))\/k)\/k)\/k)**(-48)*(k**4\/k*k*k**(2\/19)*k)\/(k**(-2)*k*k**(-2)) assuming k is positive.\nAnswer: k**(-2671\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/190 and 85\/18222482.\nAnswer: 91112410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19615 - 105528733\/5380. Calculate the common denominator of -101\/22 and v.\nAnswer: 59180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1670 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 40. Let a be z(-7). Let r be 63\/a + (3 - 2). Find i, given that -r - 2\/11*i**2 + 16\/11*i = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-36)\/(-8) - -6) + 5)\/(67\/(-134)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0228 + -14.50829733.\nAnswer: -14.53109733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-16))\/(69\/(-23)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*o = -7522, 2*f = 3*f + o - 1883. Factor 4*n**2 - n**2 - 3*n**4 + n**3 - 3*n**2 + 3*n**2 + f*n - 1879*n.\nAnswer: -n*(n - 1)*(n + 1)*(3*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75414.776 - 0.034.\nAnswer: -75414.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 236\/553 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6115719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 5*x**2 - x - 5. Calculate i(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**4\/24 - 3*o**3\/2 - 3*o**2. Let d be w(4). Let g be (18\/d)\/(4\/(-1000)). What is g rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**7\/63 - m**6\/9 - m**5\/3 - 5*m**4\/9 - 5*m**3\/9 - m**2\/3 + 2*m + 1. Let a(l) be the first derivative of q(l). Factor a(f).\nAnswer: -2*(f + 1)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -25*r**2 - 3*r - 5*r**2 + 18*r. Let g(y) = 30*y**2 - 15*y. Let m(c) = -6*g(c) - 5*v(c). What is the second derivative of m(a) wrt a?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-104) + 3363\/(-15834) + (-49)\/686\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9 from 1.1213139629.\nAnswer: 10.1213139629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -0.5, 0.3, 4 in decreasing order.\nAnswer: 4, 0.3, -0.06, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 d when two letters picked without replacement from qdqqdqqqqq.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 275*b + 63028. Give a(-149).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0838 minus 7404.0253304?\nAnswer: -7404.1091304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = l + 8, -5*l - 12 = h. Let x be (-17 - 1)*(-2)\/(8 + h). Let r be (x\/(-6))\/(-2 + 1). Solve 1 = -g - r for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 1 = 0, 4*d + 662*h = 659*h + 13 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22 + (6 - 13 - -1). Calculate the greatest common factor of r and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bzlm when four letters picked without replacement from {m: 1, f: 1, b: 5, z: 4, l: 4}?\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10588104 and 432.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*g + 4*g + 11*g)*(0 + 2 - 3)*(395785 + 716*g**3 - 395785).\nAnswer: -2148*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5\/3*150\/2375\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-13)*t)\/t**(-7)*t**(-2\/7)*(t\/(t\/(t**1\/t*t*t)))\/t*t assuming t is positive.\nAnswer: t**(-23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + r**2 - 3. Let j be a(0). Suppose 4*f = f + h + 9, -3*h + 17 = 2*f. What is the least common multiple of f and 110\/14 + j\/(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 77?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -141, -179, -181, -135, -29, 149, 411?\nAnswer: 769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(4\/4*1)*4\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c. Let q(n) = 64*n**2 + 101*n**2 - 198*n**2 + 66*n**2. Determine q(l(v)).\nAnswer: 825*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 w when three letters picked without replacement from {m: 5, w: 2, b: 3, y: 3, p: 2}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/10*-3*5\/24.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*b**3 - 4*b**3 + 10*b**3 + 2*b**3 - 2*b**3 + 4*b**3 + (-b**2 + 4*b**2 - b**2)*(-44*b + 28*b + 22*b).\nAnswer: 33*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21820, -43643, -65466, -87289, -109112, -130935?\nAnswer: -152758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -h**5\/4 - 245*h**4\/12 - 3335*h**3\/6 - 7935*h**2\/2 + 22*h + 11. Let w(z) = 0. What is z?\nAnswer: -23, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 * 136\nAnswer: -3808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 106593 + -204493. Round r to the nearest one thousand.\nAnswer: -98000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 7 - 3. Let t = -6 - -7. Calculate the smallest common multiple of i and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y + 5. Let a(p) = -4 - 15 + 5 - 14*p. Let f(q) = 6*a(q) + 17*w(q). Let v be f(4). Solve -3 + v = -2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43045348 - 11956\nAnswer: 43033392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-55))\/(110\/700*7).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**5\/30 - 2*j**2 + 16*j. Let o(l) = 7*l - 5. Calculate o(s(u)).\nAnswer: 14*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34615 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1.4*-4208\nAnswer: 5891.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41.44 - 43.2. Let r = -0.06 - n. Which is smaller: 0.08 or r?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-16)\/p*p**8)**(-19) assuming p is positive.\nAnswer: p**171","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 2. Solve -b*x - 2*q - 5 = 8, q + 8 = -3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) -0.2 (b) -2\/15 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 176801494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -415107 divided by -21.\nAnswer: 19767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3651 divided by 22182?\nAnswer: 1217\/7394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/(((w*w\/(w**(-1\/5)*w)*w)\/w)\/w))*w**29 assuming w is positive.\nAnswer: w**(146\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6630.151 kilograms to milligrams.\nAnswer: 6630151000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 7 - 3*h + 4*h - 4 + 7. Let x be w(-9). List the prime factors of (x - 11\/(-2))*(-12 + 36).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 9*l**2 - 3*l + 137. What is the tens digit of c(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.128764258 rounded to three dps?\nAnswer: -0.129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -130*c**2 - 1562*c - 26. Calculate r(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 7:44 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 2*b + 0*b)*(1 - 4 + 2) + 2*b + 3*b - 7*b + (-2 - 4 + 3)*(b - b + b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 6:00 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4 + 6 = 5*r, 4*z = -3*r + 23. Put 2, r, -4 in descending order.\nAnswer: 2, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/5 + 217\/5. Let z = -16 - -27. Calculate the greatest common factor of z and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26683 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -372 + 1709. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -851773, -851847, -851931, -852031, -852153, -852303?\n\"Answer: -a**3 + a**2 - 70*a - 851703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16262 and 188.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6*l**3 - 1447*l**2 - 1040*l + 153595. Determine x(-240).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 163955 and 1119230.\nAnswer: 1355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1134147*a**2*j - 566577*a**2 wrt j.\nAnswer: 1134147*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1086*u**2 - 695*u**2 - 6209*u**2 - 5902*u**2.\nAnswer: -13892*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2136.6 and -0.03.\nAnswer: -64.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*a - 4*a + 8*a.\nAnswer: 27*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 22 = -2*k, -91781*j + 91783*j - k + 13 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 - 402 + d**2 + 15*d + 0*d**2 + 309.\nAnswer: d**2 + 15*d - 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 491\/180, 13, 5?\nAnswer: 491\/180","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times -1324.18?\nAnswer: 52.9672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 n, and 2 e when four letters picked without replacement from {x: 1, e: 2, n: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 34*p - 34*p. Let x(a) be the first derivative of 7*a**2\/2 - 3. Determine x(v(z)).\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 2:07 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 2*f**2 + 9*f + 3. Give m(-5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 102619 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 2341890?\nAnswer: 4683780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8598?\nAnswer: 2, 3, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.5, -1, -6, 1\/4, -48 in descending order.\nAnswer: 1\/4, -0.5, -1, -5, -6, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4087*b**3*q**3 + b**3*q**2 + 2*b**3*q - 7*b**3 + 2*b**2*q + 1066*b**2 - 392*b*q**2 - 3*b wrt q?\nAnswer: 24522*b**3*q + 2*b**3 - 784*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - 27) + 56 + -32?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, m: 3, g: 1, k: 2}. Give prob of picking 1 j, 1 g, 1 k, and 1 m.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 r, and 2 w when four letters picked without replacement from llrwlwwllwwwwlllllw?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4257071950 to the power of 1\/2, to the nearest integer?\nAnswer: 65246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 31 = 3*f, -10 = -v - 2*f - 2*f. Calculate the remainder when v is divided by (-15)\/(-2)*4\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g + 658. Let w(f) = -2*f**2. Determine s(w(n)).\nAnswer: 6*n**2 + 658","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 15) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.439\nAnswer: -0.878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 9917*r**3 + 4*r**2 - 3*r. List the prime factors of b(1).\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 235\/564*3\/5.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013017088 rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1985 + 1 + -6 + -6?\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f*j**3*v - 9*f*j**3 + 193391*f*j*v - 152613*f*j - 2*j*v - 7*v wrt v.\nAnswer: f*j**3 + 193391*f*j - 2*j - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + z = -y - 14, -2*z + 4 = -y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116050 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 104300468?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*f**2 + 712*f.\nAnswer: -4*f*(5*f - 178)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 4*s + 0*s)*(-1 - 3 + 3) + 0*s + s + 2*s + (s + 0*s + 0*s)*(0 + 3 - 7) + (-47*s - 4*s + 6*s)*(1 - 1 + 2).\nAnswer: -92*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -282499*f**2 - 7*f + 6. Let o be y(6). Round o to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -n + 452, 2*n = -4*l + 692 + 228. Let s = 470 - n. Solve -5*o + s*o + 2*m = 12, 0 = 3*o - 3*m + 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, h: 1, v: 1, o: 1, l: 1, e: 1}. Give prob of picking 1 l, 1 h, and 1 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 112237?\nAnswer: -112243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 f when three letters picked without replacement from {t: 1, s: 3, f: 4, b: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -4*z - 32. Let f = z - 8. Put 3, f, -0.1 in descending order.\nAnswer: f, 3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2728 a factor of 586217192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*c**2 + 8 + 18*c - 37*c**2 - 20*c**2 = 0. What is c?\nAnswer: -2\/7, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15246 - 15253. Suppose 2*g - g = 4. Let r be g\/(-18) - 16\/90. Which is the third smallest value? (a) r (b) m (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -5. Let r = q - -3. Let y = -7.6 + 11.6. What is the third biggest value in y, r, 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65\/(-30) + -2*(-10)\/12?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(10\/7))**(-11\/4)\/(i**(4\/13)*i\/(i*i*i*i*i\/(i*i**(-8)))) assuming i is positive.\nAnswer: i**(1461\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 3*x + 76. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00275219557 to 5 decimal places.\nAnswer: -0.00275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.080171 + -0.09743. Round d to 3 dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 579114, 1158225, 1737336, 2316447, 2895558?\nAnswer: 3474669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 2:32 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.11, 2\/3 in decreasing order.\nAnswer: 1, 2\/3, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (-67 - -65) + (2 + 1 - -4). What is the third smallest value in -1476, 5, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 5*c + 5. Let z be d(5). Let t(y) = -2*y + 49. Let n be t(23). Sort n, -1, z.\nAnswer: -1, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1779 is divided by 809.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 + 66 - (2 - (2 + 6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 0 + (-4 - -14). Suppose 0 = -3*h - 4*t + k, h - t = 3*t + 24. Calculate the greatest common factor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + i = 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 61283888 to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8196 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*m - 97*m + 748. What is the third derivative of -86*i**3 - 8*i**2 + 11*i**2 - 27 + m wrt i?\nAnswer: -516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 3100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 - 36*z + 23. Let o(c) = -2*c**2 + 36*c - 22. Let n(w) = -5*m(w) - 6*o(w). Let j be n(18). Solve -4*k - y = y - 26, -k = 4*y - j for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 - -273. Calculate the highest common factor of 20 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -84.46 + -1.54. Let u = 82 + w. Let d(p) = -p**2 + 7*p + 6. Let h be d(8). What is the nearest to 2 in 0.4, u, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-3) + (-16)\/(-3). Suppose -s*l + 7 = -3. Solve 3*g = -l*p - 3*p + 32, -4 = -p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 4:55 AM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 7*p + 1810. Is 51 a factor of a(-49)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 14*i - 7 - 6*i - 5*i + 10*i. Let l be ((-2)\/3)\/(10\/(-75)). Is p(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30634722317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 20 = 0, f + 4*f + 22 = k. Suppose -162*q + 167*q = -3*g + 24, -2*q = -4*g + 6. Solve -k*v - q*v + 20 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - -19. Let t = -38 + 53. Let p = m - t. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3889 - 3735 = 0. Solve l*b = 145*b + 18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1089 - 1063. What is the remainder when 84 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -1. Let z(m) be the third derivative of 80*m**2 - 1\/24*m**4 - 4\/3*m**3 + 0*m + 0. What is 6*a(x) - z(x)?\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 8:15 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z + 27. Give k(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-6)\/r*r**(-3\/4)*(r*r*r**(-2))**(1\/43) assuming r is positive.\nAnswer: r**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 0 + 7)*(-3162 + 3162 + 25*w)*(6 - 4 + 0).\nAnswer: 700*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/18 - 59\/(-3). Let m = -3 + f. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 76.607721 to 2 dps.\nAnswer: 76.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 300841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*4*sqrt(8))\/sqrt(4))**2*2 - (5 + sqrt(8)\/(sqrt(484)*-4)).\nAnswer: sqrt(2)\/44 + 1595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6618 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 5:54 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59\/4 - -15. What is the smallest value in -5, -2\/3, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**6\/60 - 11*w**5\/30 - 13*w**4\/12 + w**3\/2 - 27*w**2. Is p(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4548727 is divided by 4618.\nAnswer: 4615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -k + 4*k. Let w be (3 - 0) + k*24. Suppose 9 = v - s - 37, 2*v + 5*s = w. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -54*x**2 - 2038*x - 3400. Determine g(-36).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -4 + 12 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7748925719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 9*m + 61. Calculate a(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2658*t**5 - 184*t**2.\nAnswer: -159480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 639 = -48. Let c = n - -413. Is 23 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1095\/(-292))\/((-3)\/(-1)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68293 is divided by 2205?\nAnswer: 2143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30928*q - 30928*q + 5*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 131, 4\/5, 3, -4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*s - 12*s + 59 - 8*s to w + p*s and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -49*q**4 + 132*q**3 - 9600*q + 21055. Let w(g) = -3*g**4 + 8*g**3 - 600*g + 1316. Let l(d) = -4*s(d) + 66*w(d). Differentiate l(r) wrt r.\nAnswer: -8*r**3 - 1200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 12) to base 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/208*(-10)\/(-15)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4559951?\nAnswer: 11, 257, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 7 + 0 = 0. Let a(c) = -7*c**2 + 10 - c + 0*c**3 + c**3 + 0*c**3. What is the units digit of a(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f**3 - 5*f**2 - 4*f. Let d be x(-3). Suppose 0 = -3*o - 6 - d. Is (-885)\/(-27) - 4\/o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1048 to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -i + 39 - 166*i**2 + 47*i**2 + 66*i**2 - i**3 + 3*i + 49*i**2 in the form p*i**2 + r*i + w*i**3 + g and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30.74 - 31. Let p = x - 0.3. Round p to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 252, -3, -466 in decreasing order.\nAnswer: 252, -3, -466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8742*t**4 + 4*t**2 - 5*t - 9.\nAnswer: 209808*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v + 10. Let b be g(-5). Suppose w = 5*j - b*w - 497, -4*j + w = -398. Calculate the greatest common factor of 11 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 5 - 3. Let h be (-2 - -1) + l*-13. Let r be (-66)\/h - (-4)\/14. Solve 0 = r*q + 2*x, 2*x = -5*q + x for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 534468378, 1068936757, 1603405136, 2137873515, 2672341894?\nAnswer: 3206810273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -564 - -567. Suppose 3*m + 2*q = 101, r*q + 112 = m + 3*m. Solve 5*u + m = 2*y, 2*u + 0*u + 13 = y for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(-3*l + 0*l + 2*l)*(9*l**2 - 9*l**2 - 7*l**3).\nAnswer: -14*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 h when four letters picked without replacement from wwwwhwwh.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13276847 is divided by 361.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s - 7. Let y(z) = -10*z + 20. Let a(c) = -7*w(c) - 2*y(c). What is a(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 348 + -3?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -111.2393+743212512\nAnswer: 743212400.7607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -950*w**3 - 71*w**2 - 787*w + 25. Is u(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a9 - -3?\nAnswer: 2ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**2 - 30*u = 0 for u.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9, t: 9}. What is prob of sequence tmm?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1257 and 1671.\nAnswer: 700149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + -3 + 2 - -7. Suppose d*b = 41 + 249. Let r = -40 - -52. Calculate the remainder when b is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28322, 28323, 28324?\nAnswer: 28325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11311 + -1?\nAnswer: -11312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 10*w**2 + 10*w - 103. Let k be m(6). Suppose 2*j + 307 - k = 0. Solve -3*x - 2*y - 9 = -1, 2*y = j*x + 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 93297 and -0.15.\nAnswer: -13994.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -12 - (4 + -125 - -113)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7165706 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**2 - r + 4*r - 5*r + 3*r to the form o + f*r**2 + i*r and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*z - 169*z = 98*z + 16660 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -233, -510, -897?\nAnswer: -1394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11363439?\nAnswer: 3, 79, 47947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -410 - -6148\/15. What is the closest to 0.1 in 0.2, t, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 245 and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 194, 317, 372, 365, 302, 189, 32?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2459424 and 9911.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -156 + 365. Let r = s + -214. What is the second biggest value in r, -0.3, -1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t - 1138 + 93 = -85*t for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/(-65))\/(-1 - 18\/(-20)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3274169\/9150 + -2147\/6. Let z = v + 3141\/138775. Which is bigger: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51931?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -61*z**5\/60 - 5*z**3\/3 - 9*z**2 + z. Differentiate p(i) with respect to i.\nAnswer: -122*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*o + 4)*(o - 3*o - 2*o + (-4 + 3 - 3)*(o - o + 2*o)*(-2 + 1 + 4)).\nAnswer: 56*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 10:08 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 1624*o - 78025. What is j(48)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**6\/120 + x**5\/20 + x**3\/3 - 41*x**2 + 84*x. Let q(w) be the second derivative of a(w). Factor q(y).\nAnswer: 3*y*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2277 and 123993.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5876846019 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -53*y - 5187. What is n(-32)?\nAnswer: -3491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, r: 4, y: 1, d: 2}. What is prob of picking 2 a, 1 r, and 1 y?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1356, -4990, -10896, -19068, -29500?\n\"Answer: g**3 - 1142*g**2 - 215*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28623797\/3 or -9541265?\nAnswer: -9541265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -10*d**3 + 14*d**2 + 108*d + 146. Give b(-4).\nAnswer: 578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**5 - 40*n**4 + 116*n**3 - 32*n**2 - 192*n = 0. Calculate n.\nAnswer: -1, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/((x**0\/x)\/x))**(-29)*(x**(1\/4)*x)**(-1\/6))\/(((x*x*(x*x**(-1\/4)*x)\/x)\/x)\/((x\/(x**(-7)\/x))\/x*x)*(x\/x**5)\/x*x**(-7)*x) assuming x is positive.\nAnswer: x**(-2351\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(156)*2 - sqrt(156))*-4 + -6*sqrt(156)*2))\/((sqrt(1536) - (sqrt(1536) - (sqrt(1536) + sqrt(1536)*-2)))\/(sqrt(6)\/sqrt(3)*2)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 614975454452*b**3 - 3 - 614975454451*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 870 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + a + 10077 = -x, -4*a + 20158 = 2*x. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2166 and 1026.\nAnswer: 19494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w - 3. Let y be x(4). Suppose 28 = n + 3*n. Suppose 0 = l - n + 1. What is the greatest common factor of l and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 144 + 2924?\nAnswer: 2a68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/6)\/((-3)\/18). What is the units digit of ((-2)\/t)\/(1\/33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -663276.4 rounded to the nearest 10000?\nAnswer: -660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -q + 5*a, 5*q + 10 = -8*a + 3*a. Let y = q + 7. Suppose -d = 4*d - y. Are d and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -64*s**2 - 4. Let n(v) = -20*v**2 - 2*v**2 + 3*v**2 + 20*v**2. Give n(t(w)).\nAnswer: 4096*w**4 + 512*w**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 24828 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 105603555\/7 or 15086223?\nAnswer: 105603555\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 77. List the prime factors of i.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 5713.9695 milliseconds?\nAnswer: 0.00006613390625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 25. Let l be (-4 - (0 + -1))*-1. Calculate the highest common factor of l and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9, u: 3}. Give prob of picking 3 u.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -s - 4*g, g + 5 = 11*s - 8*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 18. Does 2 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2391, 12088, 28241, 50850?\nAnswer: 79915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(3*-1))\/((-324)\/(-162))*63\/(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -60110015 divided by 4921?\nAnswer: -12215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*(0 - 5\/(-6)). Let k be 46\/(-4) + 5\/(-10). Let f = -5 - k. Solve -z*a - 4*y - 16 = 0, 4*a + y + f + 8 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1070 + 3839. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 3\/(4 - 5). Let b be (-2)\/y*6\/(-16). What is the nearest to -0.1 in 0, b, -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -3545240.\nAnswer: -3545240, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54147432 to the nearest integer?\nAnswer: 7358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -1581?\nAnswer: 4743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 57.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065903 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: Let t = 817 + -3247\/4. What is the common denominator of -23\/12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 63 = -6*n - 2*n, -28*v + 37*v = 3*v + n - 24 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 125\/(-45) - ((-374)\/99 - -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**4 - 12*f**2 + 492*f - 181430.\nAnswer: -8*f**3 - 24*f + 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16226773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 127491.1 * -0.64\nAnswer: -81594.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/(-6))\/(((-50)\/(-36))\/5). Suppose -8178 = -x*c + 3*c + 3*s, 0 = 4*c + 2*s - 10934. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 76042, 75945, 75784, 75559, 75270, 74917, 74500?\n\"Answer: -32*u**2 - u + 76075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 6. Calculate the common denominator of 31\/3 and y(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 4*l - 34, l - 3*l = -3*t + 16. Suppose 0 = 3*u - 5*u - h + 12, -u + 2*h + t = 0. Solve -u*z = -2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11904578, -23809142, -35713706, -47618270, -59522834, -71427398?\n\"Answer: -11904564*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 3*b + 2. Suppose 3*u = -y + 16, -4*u + 11 = -y - 1. Calculate r(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18353, 18352, 18351, 18350, 18349?\nAnswer: 18348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/198779 + 15309743\/373704520. What is the common denominator of 11\/40 and x?\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 1 = 2*f + 2*y, 5*f + 11 = 2*y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(4356) + (-5*(sqrt(4356) - -2*sqrt(4356)) - sqrt(4356)) - sqrt(4356))\/(sqrt(108)*2*6)*-1)**2.\nAnswer: 48400\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2680646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 76478989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8 - (1 - -1)) + 0. Let z = -1 + l. Suppose 5*x - 2*x**3 - z*x - x**4 - 4*x**2 + 3*x**2 = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101012201 + -120211?\nAnswer: 100121220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 i when two letters picked without replacement from {q: 1, i: 1, m: 4, w: 2, l: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 12) in base 2?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvgv when four letters picked without replacement from {i: 6, r: 1, v: 3, g: 4}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -4864 <= -3358?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3256257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63 + -62.865. Let l = m + -0.028. Let u = l - 10.307. What is u rounded to 0 decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17 - 3)\/4*-1. Let h be (o - 38\/7) + 0. Sort -2\/3, 5, 13, h in descending order.\nAnswer: 13, 5, h, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -47*d - 14 - 1\/3*d**3 + 39\/5*d**5 + 0*d**4 + 0*d**2. Find the first derivative of q(v) wrt v.\nAnswer: 156*v**3 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -247? (a) -1\/3 (b) 2 (c) -1.1 (d) 0 (e) -675 (f) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**2\/4 - 874385*i\/2 + 764549128225\/4 = 0. Calculate i.\nAnswer: 874385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -196*o + 1169. Determine p(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 549116345*t**2 + 17*t + 2140044 wrt t?\nAnswer: 1098232690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/64 of a millimeter?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3934673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18784 + 0?\nAnswer: -18784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95619*k + 116489*k + 106952*k + 120173*k.\nAnswer: 439233*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**2*o**2*w + 1617*j**2*o*w - j*o**2*w - 452*j*o**2 - 2*j*w + 2*o*w - 2*o wrt o.\nAnswer: 2*j**2*w - 2*j*w - 904*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 155182336.7 rounded to the nearest 10000?\nAnswer: 155180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p - 1. Suppose 0 = -0*j + 2*j + 20. Let g(b) = b - 5*b - 3*b + 3*b - 5. Let l(k) = j*n(k) + 2*g(k). Let s(f) = -2*f**2. What is s(l(u))?\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**4\/12 + 2*w**3\/3 - 2*w**2. Let r = -2 - -1. Let m(g) = -1. Suppose 3 = 5*y + 28. What is r*d(v) + y*m(v)?\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 divided by -22.\nAnswer: -31\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r = 37*r + 250 - 30 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 45\/25*7\/63. Which is the smallest value? (a) 0.03 (b) s (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -632*(-16)\/40*10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 5, -51 in decreasing order.\nAnswer: 5, 4, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-384)\/(-72) - (-15)\/(-3)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -39. Suppose -3*x - h*n - 6 = 0, -3*x - 16 = -5*x + 2*n. Suppose 2*w + 7 = x*w. What is the remainder when 12 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*1775\/(-50)*-1. Let h = -1 - -1. Which is smaller: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*f = -6. Suppose -f*y + 29 = -19. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 - -17. Let u be (18\/b)\/(1\/(-2)). What is the third derivative of -4*t**3 + t**2 + 6*t**u + 0*t**2 wrt t?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245378307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 9 - -1) + 4 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -18 + 46 + -35 - (-76 - 1)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4))\/(2\/12744*118)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13317 is divided by 1899?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3294*o**2 + 4*o - 1841. Let n(f) = 3*f**2 + f - 3. Let s(b) = 4*n(b) - x(b). What is the first derivative of s(i) wrt i?\nAnswer: -6564*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*r + p, 0 = -4*r - 5*p + 45 + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 3*g = 9. Suppose 3*o - 11 = -3*x + 28, g*x = 4*o - 52. Suppose o = 2*r - 23. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**9\/(k\/((k*k**(-18)*k*k)\/k))*k\/(k**23\/k)*k**(-33) assuming k is positive.\nAnswer: k**(-62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l. Let b(p) = -48*p + 34*p + 28*p - 2. Let o(m) = -15*m + 3. Let t(q) = -3*b(q) - 2*o(q). What is c(t(u))?\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5, -r - 2*r + 163 = 5*g. Does 16 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -1b4b1?\nAnswer: 1b4b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.5 (b) -20 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17\/117 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 385560 by 120.\nAnswer: 3213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-10)\/(-8)*16\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -184*l**4 + 2*l**4 - 5*l**4 + 0 + 0 + 2*l**4 + (-l**2 + 2 - 2)*(-l**2 + 3 - 3) + l**4 + 0*l**3 + 0*l**3 - 3*l**4 + 5*l**4 - 4*l**4.\nAnswer: -185*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x - 7. Let v be u(-5). Suppose f - v = -8, 69 = 4*g + 3*f. Let q be (1 + 8749)*(-1560)\/g. What is q rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xqcadacxcxaacaax. What is prob of sequence qcxx?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/641520 and -35\/1188.\nAnswer: 641520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - c**2 - 2*c. Let h = -43 - -41. Calculate l(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 7 = 3*q, -q + 5 = -5*u + 14. Let n(r) = -2*r**u - 1 + 1. Let l(g) = -5 + 5 + 232*g - 231*g. What is n(l(y))?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -895*o - 811.\nAnswer: -895","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1674011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 742189874 is divided by 2889?\nAnswer: 2885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49578340 to the nearest integer?\nAnswer: 7041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + -3 + sqrt(5) + -1)**2.\nAnswer: -24*sqrt(5) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.509 + 2.809. Let z be (-34)\/(-24) - 4\/6. Which is the second smallest value? (a) -4 (b) z (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 105*k = k + 1590 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxsx when four letters picked without replacement from {n: 1, s: 2, x: 4, m: 4}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20089.47 hours to milliseconds.\nAnswer: 72322092000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 8*r + 0*r**3 + 0*r**2 + 0*r**6 + 0 - 1\/3*r**4 + 0*r**5 + 5\/42*r**7. What is the third derivative of l(s) wrt s?\nAnswer: 300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14009 is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1545028 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 1865077*l + 15858. Let t(q) = -3529*q - 30. Give 5*m(o) + 2643*t(o).\nAnswer: -1762*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 - 0. Let g = d + 0.43. Let x = 0.7 - g. Which is smaller: x or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-10)\/(-4))\/5)\/(232\/174)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 100392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 299 or 12858\/43?\nAnswer: 299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.26 + -0.06. Which is the nearest to 0.1? (a) h (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - o - 4*o)*(-2 + 2 - 2*o) + 2*o**2 + 0*o**2 - 3*o**2 - 838 + 1623*o**2 + 838.\nAnswer: 1626*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 439408?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uruuugguggrgu. Give prob of picking 2 r.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 3*s**2 + 41*s + 2. What is q(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/6 - 43115*c\/6 + 5929875.\nAnswer: -(c - 810)*(c + 43925)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**3 + 4*g**3 + 8*g**3 + (4*g + 0 + 0)*((1 - 4 + 2)*(0 + 0 - 2) - 2 - 4 + 4 - 13 + 17 + 6)*(g**2 + 0 + 0) to f + l*g**3 + q*g + w*g**2 and give l.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) -2963 (c) 6\/5 (d) 0.1 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t. Let j = -13 - -7. Let q(n) = 55*n. Give j*q(g) + 65*i(g).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 3144.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of ((-444)\/(-20))\/((-124)\/(-102300))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18423546 to the power of 1\/2, to the nearest integer?\nAnswer: 4292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 22*c**2 - 18*c - 45. Let b be j(21). Find h, given that -33*h - 6*h**4 + h**4 + 9*h**3 + 2*h**4 + 9*h**2 + b = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*g = -7 - 19, 4*i = -3*g - 11. Let h be (-2)\/((-2)\/i)*-1. Is h >= -1\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 15 = -4*u, -2*u - 4*m + 3 = 3*u. Suppose u*v = 3 + 3. Factor 4\/5 - 6\/5*k + 2\/5*k**v.\nAnswer: 2*(k - 2)*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 5*s - 4*b, -2*s + 6*s - 2*b = 14 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (159\/(-1431))\/((44\/96)\/11).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.97113 and -25?\nAnswer: -24.27825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1034, -2070, -3106, -4142, -5178?\n\"Answer: -1036*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 4*h**4 + 7316*h**3 - 4*h**2 - 7316*h = 0?\nAnswer: -1829, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.016 (b) -17\/169 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 31*b**2 + b + 2. Let i be p(5). Suppose -2*g + 248 = i. Let s = -176 - g. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 5*b**2 - 5*b + 1. Let c be d(3). Suppose -s + w + 7 = 1, 5*s = -c*w + 21. Solve 4*f - 4 = 2*z + 12, -s*f = 4*z - 7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -1, -10, 5 in decreasing order.\nAnswer: 28, 5, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1040 and 9382165.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3707533369.\nAnswer: 23, 277, 359, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/96 and 31\/84.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-3) - 1595405\/150. Let k = -13844 - -3199. Let c = k - a. Find the common denominator of c and -37\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 13, k: 5}. What is prob of sequence gk?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34056 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.5 in -51, -1\/2, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/14*27608\/(-1479)*2\/8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4584 - 4515. Calculate the remainder when 337 is divided by f.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -3, 0.17, -3\/2 in descending order.\nAnswer: 0.5, 0.17, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 114279910 minus 0.1?\nAnswer: 114279909.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.19 - 1.39. Let m = -8\/33 - -2\/99. Which is the third smallest value? (a) m (b) n (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105288809.\nAnswer: 105288809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 221 or 1?\nAnswer: 221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/(-5*sqrt(3)) + sqrt(216)\/(sqrt(12)*-2))\/(-3*sqrt(54)\/sqrt(9) + sqrt(726)*1).\nAnswer: -7*sqrt(3)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73490596 is divided by 1792453.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2113 (base 5) in base 14?\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 23196, -5 in decreasing order.\nAnswer: 23196, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 + 2*b**3 + 4*b**3 + ((-4*b + 2 + 5*b - 1)*(-46*b - 2*b + 9*b) + 0*b**2 + 3*b**2 - 4*b**2)*(-10*b + 21 - 21).\nAnswer: 406*b**3 + 390*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-1896)\/(-5372))\/((-16)\/340).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 0*q + 1\/120*q**6 + 5\/24*q**4 + 1\/10*q**5 + 1\/6*q**3 + q**2 + 0. Let a be (20\/6)\/2*-3. Calculate d(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -230*a. Let x(q) = 2*q + 8. Let g(p) = 2*p + 16. Let i(m) = -g(m) + 2*x(m). Calculate i(j(u)).\nAnswer: -460*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7386*q - 3219*q - 4164*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 5\/(-20))\/(2\/8). Suppose 31*p - o*p = 280. Calculate the greatest common divisor of p and 160.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 287, 645, 1137, 1757?\nAnswer: 2499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 2*j + 3. Let y be w(-3). Suppose -n - 2*a = -y*n + 2, n = a - 2. Is 13 a factor of 26\/((3 - n)*2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12.720459 from 131.949.\nAnswer: 144.669459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7*3\/(6\/2). Suppose -2*t = -d - 11. Let u = 5 - 1. Calculate the remainder when t is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - -91. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 1457*v**5 + 2*v**3 - 46*v**2 + v. Let w(d) = -d**5 + d**3. Let k(h) = -r(h) + 2*w(h). Find the third derivative of k(b) wrt b.\nAnswer: -87540*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*g = g + 94, -145 = -5*p - 5*g. Let m be (p\/50)\/((-3)\/(-2)). Which is the closest to 6? (a) 0.3 (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 198 - 197.88. Which is the third biggest value? (a) o (b) -0.2 (c) 2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 < -1204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -462*h**2 - 720*h**3 + 182*h**2 - 219*h**2 wrt h?\nAnswer: -4320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 2866515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*(15\/6)\/5. Let r be 1\/(q - -3) - 1. Let f be -4 - (6\/(-10) - 3741\/1015). Which is the closest to f? (a) -3\/2 (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/12 and (-65)\/21 - (-150)\/100.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -366217.48 rounded to the nearest 100?\nAnswer: -366200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 880.627662 rounded to one dp?\nAnswer: 880.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*t = 142, 2*t + 56 = 2*s - 0*t. What is the remainder when 359 is divided by s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110100011 - -101?\nAnswer: 10110101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24630145187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-1) - (22\/(-88) + 42\/8). Let s(a) be the first derivative of -1\/9*a**3 + q*a + 4 + 1\/3*a**2. Solve s(j) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0413066 nanograms in kilograms?\nAnswer: 0.0000000000000413066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030 divided by -515?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -11. Suppose o*p = -2*h + 4, 2*h + h - 3*p - 6 = 0. Solve -4*r = 4*y - 24, h*r - 4*r = -y - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22888, 91903, 206824, 367645, 574360, 826963, 1125448, 1469809?\nAnswer: 1860040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p - 1 = 1 - 38. Let g(f) be the third derivative of 0*f**p + 1\/150*f**5 + 0*f - 16*f**2 + 0 - 1\/15*f**3. Find o, given that g(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**3 + 4*r**2 - 2*r + 4. Let x(s) = 9355 - 9354 - 3*s**3 + s**2 + 2*s**3. Give -u(f) + 4*x(f).\nAnswer: -f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 12*o - 109. Let r be t(9). Let b be 4\/(-4 + -1 + r). Which is smaller: 327 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + 100123003?\nAnswer: 100123013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1251035881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 55*c**2 + 2*c + 2. Let z be b(-3). Suppose -2*u - 2*v - 3*v + z = 0, 4*u - 2*v - 922 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.05 (b) 2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2205\/42)\/35*(-70)\/15\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 80. Let b = 153 + s. Let t = b - -46. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 1818.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 494.4902 millennia in decades?\nAnswer: 49449.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -215?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + -17 + (2 - 2). Let q be (s\/25)\/((-2)\/10). Suppose -5 + 3 = -h - 3*j, q*h = 5*j + 34. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/12*((-30)\/4)\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 143 + -135. Solve -c*b + 5 = -3*b - 5*x, 2*b = 3*x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 7*x - 21. Find the third derivative of 3*h**2 + 4*h**5 - x + 7 wrt h.\nAnswer: 240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -194*y + 17. Let l be d(3). Let g = l - -854. What is g rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 0)*(-8)\/(-12). Let r be (p\/40)\/(3\/8). Is -1 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a + 4927 - 5062 = 0. Let u(l) = -l**3 + 10*l**2 - 8*l - 14. What is u(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 32*l - 2. Let d(p) = -38*p**2 + 152*p + 4. Determine -d(a) - 3*n(a).\nAnswer: 35*a**2 - 56*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 441401 + 22130?\nAnswer: 1014031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -16*o + 17*o. Let q = o - -10. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24116 - -24267. Calculate the highest common factor of 6191 and j.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 15*z**5 + 7211*z**4 + 499032*z**3 - 1693980*z**2 + 985424*z + 696960 = 0.\nAnswer: -396, -88, -2\/5, 5\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -5 (c) -4 (d) 25.1 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**6\/180 + h**4\/6 + 5*h**3\/6 - h. Let a(t) be the second derivative of s(t). What is the first derivative of a(v) wrt v?\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 42. Let d be v(0). Suppose -1 + 11 = i - 3*x, -3*x = -3*i + 18. Suppose -f + i*f - d = 0. Is 14 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000687 rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11612501 to the power of 1\/2, to the nearest integer?\nAnswer: 3408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11767 by 11767.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-8) + (-10360)\/(-2368).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*q = 4*g - 10, g - 5*q + 12 = 0. What are the prime factors of (6\/(-9))\/(((-16)\/(-876))\/g)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.120676m in nanometers?\nAnswer: 1120676000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/1*-1*2\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -14 (b) -0.16 (c) -3 (d) 0.3 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9492.9837636 and -8438.\nAnswer: 1054.9837636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6856.644 months in millennia?\nAnswer: 0.571387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = h - 3. Let f(w) = -4*w**3 - 3*w. Let d(o) = 33*o - 4. Let a(b) = -8*b + 1. Let g(c) = 4*a(c) + d(c). Calculate h*f(v) + 3*g(v).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*x - 76, 4*p + 57 = -29*x + 32*x. Solve -30 = 25*y - x*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -551 divided by 9.\nAnswer: -551\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 272 + -2995\/11. Is h <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 5, -8.7, -9, 13, 5\/6, -41, 2?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j - 20. Let z = 32 + -43. Let w be v(z). Suppose -w*r + 4*a = -3*r - 8, 4 = -5*r - 2*a. Is r equal to 1\/58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 992?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (sqrt(204) + 2*sqrt(204)*4))\/(sqrt(1728) + sqrt(1728) + -3*sqrt(1728)) - (2*(-1 + (3*sqrt(17)*1 - sqrt(17))) + -3).\nAnswer: -10*sqrt(17)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 6*t - 7. What is the units digit of q(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 90 or 139\/4?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/25920 and -181\/3473280.\nAnswer: 3473280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q + 190 = 5*h - 27*q, -2*h = -4*q - 60. Solve 36*y = 28*y - h for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or -3745?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q. Let a be 2\/1 + 1 - -2. Suppose 0 = -a*f + 8 + 7. Let j(w) = w**2 - f*w + w + 2*w. Determine j(m(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(704) + -1*sqrt(704) + sqrt(704) + sqrt(11) + -2*sqrt(891))**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 7 = w, 3*w + 3*k - 14 + 5 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**5\/4 - 13*j**2 - 1. Let n(l) = 8*l**2. Determine u(n(q)).\nAnswer: -960*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2950 and 2570?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 2*r**3 - 13*r. Let c(k) = 2*k. Give c(p(z)).\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffegesssfsfgffttfo. Give prob of sequence ftt.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1982219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -5*l**2\/2 + 3*l - 3. Let r(c) be the third derivative of c**4\/24 - c**3\/6 + 4*c**2. Give -h(n) - 3*r(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 8*x**2 - 7*x + 2. Let z(b) = -b**3 - 9*b**2 + 8. Let n be z(-9). Suppose n = 3*a - a. What is the remainder when a is divided by m(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154895?\nAnswer: 5, 13, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18822319 is divided by 586?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34 times 7?\nAnswer: 2.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2. Let f(x) = 52174*x**2 + 85*x + 34. Let c(y) = -14907*y**2 - 25*y - 10. Let j(b) = -17*c(b) - 5*f(b). Determine j(d(o)).\nAnswer: -7451*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2106*x**2 + 2106*x**2 + 2100*x**2 - 8428*x**2 + 2113*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.1685 - -1.46123.\nAnswer: -6.70727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 749, 752, 755, 758, 761, 764?\n\"Answer: 3*g + 746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 14. What is the nearest to -3 in 0.2, m, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 - 2114382*q + 10571885.\nAnswer: (q - 2114377)*(q - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 4. Suppose i = -0*c + 5*c. Suppose c = 2*w - 0*w - 24. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 36.27.\nAnswer: 10.881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 17 - 9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 15198 + 4109. Let d = -8378 + i. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -809*h + 484*h = 846*h + 42156 for h.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 1 + 0 - 5*b + 2*b. Let u be s(-1). Let o = 2.1 + -5.1. What is the smallest value in o, 1\/8, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 0*s + 2*s)*(2 - 2 + s**2)*(284 + 3*s - 4*s - 298).\nAnswer: 2*s**4 + 28*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/5, 0, -8.2, -16561 in descending order.\nAnswer: 6\/5, 0, -8.2, -16561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-six fifths of a decade?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-11\/3))\/d**3*(d\/(d**(-1)\/d))**(-17) assuming d is positive.\nAnswer: d**(-167\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*k - 26*k + 0 + 0 + 68*k**2 as h + o*k**2 + y*k and give o.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -t - 5*q, 2*t - 2*q = -0*q + 16. Factor -1\/2*s - 1\/4*s**t + 3\/4*s**2 + 0.\nAnswer: -s*(s - 2)*(s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19922563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8260619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -5)*32\/40. Let j = r - 2. What is the units digit of (j\/6)\/(7\/84)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4064341132.\nAnswer: 2, 23, 3163, 13967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 33292d2 - 2?\nAnswer: 33292d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -5 (c) 76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*b = -235*b - 68. Let x(c) = 2*c**2 + 15*c + 1. List the prime factors of x(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggs when three letters picked without replacement from {g: 2, v: 8, k: 6, s: 3}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(2\/15)*d)\/d)\/d*(d\/d**(-2\/9))\/d*d*d\/(d\/d**(-4))*d**8)**(-1\/52) assuming d is positive.\nAnswer: d**(-49\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 401*u**2 - 1. Let j(b) = -5*b**2 + 21. Give j(y(n)).\nAnswer: -804005*n**4 + 4010*n**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4293176 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**8)**(-44))**(-8\/9) assuming k is positive.\nAnswer: k**(-704\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175, -275, -703, -1097, -1445, -1735, -1955, -2093?\nAnswer: -2137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + r**2 - r - 1. Let q(c) = -5*c**3 + 2*c**2 - 2*c. Give -q(z) + 2*w(z).\nAnswer: 3*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1752 = 27*i - 62*i + 11*i for i.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z**2 - z + 1. Let p be a(1). Is 4 a factor of (-1)\/p - (-906)\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 226\/(-140) + (742\/140)\/(-53)\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.02233 rounded to two dps?\nAnswer: -2.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18 and 0.63?\nAnswer: 11.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58931250 and 4550.\nAnswer: 766106250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51284*t**3 + 461*t - 39 wrt t?\nAnswer: 307704*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 93116, 186230, 279344, 372458, 465572, 558686?\n\"Answer: 93114*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -12, -0.4, -5, -3, -119?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*h**3 + 8*h - 5*h**3 + 14*h**3 - 5*h**3 wrt h?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 + 2*v**3 - 5*v**3)*(6*v + 28 - 28)*(3 - 6 + 0).\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 4*u + 1149 - 1135, 4*y + 20 = -2*u for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3\/5 - 60*x**2 - 65000*x.\nAnswer: 4*x*(x - 325)*(x + 250)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*k**3*o + 506*k**3 + 2*k**2 - 12477*k - 7274423*o**2 wrt o.\nAnswer: 5*k**3 - 14548846*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.6 - 1.4. Sort -3, m, 5.\nAnswer: -3, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177, -680, -1519, -2694, -4205?\nAnswer: -6052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-60)\/2 + 1 + -1. Let f be (-22)\/l - (-6)\/(-15). Let i = -0.2 - -0.4. Which is the nearest to f? (a) 2\/11 (b) 0.5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 12) in base 2?\nAnswer: 11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(-2) - (-15)\/(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376 = -35*l - 59 + 1363. What is the remainder when 1627 is divided by l?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-52156)\/(-364) - ((-16)\/(-7) - 2). Suppose -3*a + 393 = 3*v, 3*v + a = -g + 532. What is the highest common factor of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 + -59. Let d(r) = -443*r - 12. Is d(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**3\/8 + 63*z**2\/8 - 48*z + 90 = 0. What is z?\nAnswer: 4, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 6*l + 47 = -2*l, 33 = v - 3*l. Suppose -4*t = -t - 1506. Suppose -166 = 4*o - t. Calculate the highest common divisor of v and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -7*d + 498. What are the prime factors of v(-48)?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 190, 379, 568, 757, 946?\n\"Answer: 189*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -56474?\nAnswer: -56476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -12) + 6 - 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36177 and 372?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (-1)\/((-328)\/(-2228)). Let n = t - -6513\/820. Let g = 27\/5 - n. Are g and 0.01 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 578352 is divided by 936.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385 is divided by 288?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328*v**2 - 3424*v**2 + 3750*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357648741?\nAnswer: 3, 1913, 20773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*l + 143 = -61 + 1 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -619861.\nAnswer: -5\/619861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*p - 146*p - 16*p.\nAnswer: -148*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -587.\nAnswer: -293.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*d + 3*d + 223 + 227 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4213 (base 5) to base 14.\nAnswer: 2bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1057751, -1057750, -1057749, -1057748?\n\"Answer: g - 1057752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -50*h + 4. Calculate c(3).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -2122?\nAnswer: 2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*r + 5*c + 5 = 0, 0 = 3*r + 4*c - 23. Suppose -a - 35 = -r*v, 5*v - 3*a - 44 = 1. Calculate the common denominator of v\/(-27) + 15\/(-3) and 13\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/33 and 80\/57.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 795964, 795945, 795912, 795865?\n\"Answer: -7*k**2 + 2*k + 795969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 35 + (-9 - 1 - (-29 + 23))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - g + 2522 = 0, -9*p - 2*g + 508 = -8*p. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 956*m**3\/3 - m**2\/2 + 113*m + 325. Find the second derivative of y(h) wrt h.\nAnswer: 1912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288.349 minus -138?\nAnswer: 426.349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.7129 minus -11969247?\nAnswer: 11969164.2871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000107574 to 7 dps.\nAnswer: -0.0001076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.3 + -15.3. Suppose -5*u - 73 - 227 = 0. Let k be (4\/(-6))\/(8\/u). Which is the nearest to 1? (a) k (b) i (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (540\/25)\/(486\/(-648)*(-24)\/(-45))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*u - u - 3*u)*(-6*u**4 - 65*u**3 + 65*u**3) + (-u**4 + u**4 - 5*u**4)*(-3 + 5 + 0)*(5*u - 14*u + 3*u))*(-1 - 2 - 1).\nAnswer: -288*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/3 - (23 - 20). What is the second smallest value in 1, -0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 2 + 51 - 83 + 52 + (1 + 0 + 0)*(3 - 2 - 2) + 0 - 8 - 3)*(-d + 0*d - d) to x + s*d and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50810671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111001001110110 + -100?\nAnswer: -111111001001111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 175 + -177. Sort -0.2, -1\/4, -2.03, s.\nAnswer: -2.03, s, -1\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -7. Let f be p + ((-108)\/(-33))\/(-4). Let u = 2 + f. Sort -0.2, 5, u.\nAnswer: -0.2, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 0 (c) 0.5 (d) 2\/5 (e) 417 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 838*a**2 + 24*a - 12. Let y(n) = -2*n + 1. Give u(d) + 12*y(d).\nAnswer: 838*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -22420130643490.\nAnswer: -22420130643494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3209*i**3*v**3 + 3*i**3*v + 3*v + 177 wrt v.\nAnswer: -19254*i**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 8. Let u = x + -1. Suppose 0 = u*b - 3 + 1, -v = -2*b - 7. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgtigtgtgtgttggg. Give prob of sequence tg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57057 is divided by 1074?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 33 - 12) + -7.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13229 - -13228.92632. Round u to three dps.\nAnswer: -0.074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4123948*j**3 - 4124911*j**3 + 8248860*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 2 + 2 - -1) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-492)\/3116 - 462\/(-38). Calculate the highest common divisor of m and 896.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 8*t**2 + 2*t - 1. Let i be f(1). Let y = i - 5. Find the second derivative of -y*r**4 - 2*r**3 - 4*r + 2*r**3 wrt r.\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*u - 242 + 30 + 84 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p - 3. Suppose -3*o - 4*d = -36, -3*o = 5*d - 25 - 8. What is the least common multiple of n(11) and 4\/((o\/20)\/2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2 (b) -3\/8 (c) -150 (d) -3 (e) -111\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -74*o + 68. What is m(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*o + 31*o + 25*o + 7*o + 19*o.\nAnswer: 65*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3070167 is divided by 54822?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 9*f**2 + 6*f + 2. Let p be h(-8). Let s = p + -11. Let j be 38\/14 + 4\/14. Solve j*m - s*m = 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 2*c - 20. Let a be l(7). Let x be 21720\/a - (-1 + -1). Is x\/125 + 1 + (-3)\/5 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+26111\nAnswer: 26111.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -51 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 11*t**7\/210 + 7*t**4\/12 - 4*t**2. Find the second derivative of k(c) wrt c.\nAnswer: 132*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17\/14 - 3\/2. Let w = -85 + 92. Which is the third biggest value? (a) 1 (b) 0.2 (c) y (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 10*s. Let y(b) = b + 1. Let o(z) = -3*z - 4. Let k(l) = 3*o(l) + 12*y(l). Give u(k(n)).\nAnswer: 30*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**4\/21 + 44*t**3\/7 - 128*t**2\/3 - 768*t\/7 = 0.\nAnswer: -72, -2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 437 - 437.0000374. What is w rounded to six decimal places?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 26455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27\/1022 + 264\/73. Let x = g + -7\/2. Which is the third smallest value? (a) x (b) -1 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 2781 = 801. What is d rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, 8, 62, 170, 350?\nAnswer: 620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 7:46 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (-20 + 60) - -29 - 76.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 8*k**5 - 130*k**4 + 104*k**3 + 702*k**2 - 180*k = 0.\nAnswer: -2, 0, 1\/4, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540 = 2*i + h, 2*i + 5*h + 248 = 3*i. Suppose i = -4*u + 1264. Calculate the remainder when u is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12393 times 0.02?\nAnswer: -247.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -34. Suppose 3*i - 12 = 0, 0 = f - 440*i + 443*i - 39. Calculate the remainder when f is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.14? (a) -2\/9 (b) -434 (c) -2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -13, 0.029, -3, -2, -0.2, 1218?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -566, -563, -560, -557, -554?\n\"Answer: 3*r - 569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 1, -1, 4, -8, 1267 in descending order.\nAnswer: 1267, 4, 1, -1, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -442\/11 - -40. Is d < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13811507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -85*r**4 - 276*r**3 - r**2 + 447633 wrt r.\nAnswer: -340*r**3 - 828*r**2 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 0*u**4 + 0 - 5\/2*u**2 + 1\/2*u**3 - 43*u - 1\/20*u**5. Let o(j) be the first derivative of r(j). Solve o(a) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4665335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 625*n**2 + 619*n.\nAnswer: 1250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7985584 is divided by 266.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 170*x - 103*x + 12 - 70*x in the form s + j*x and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 107 = -30. Let d = q - 38. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3 + 1*(sqrt(847) + sqrt(847)*-4)*-2 + (sqrt(847) + 0)*-5 + -3)**2.\nAnswer: -132*sqrt(7) + 887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, -67 in increasing order.\nAnswer: -67, -9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/213779300 and 47\/473895?\nAnswer: 1924013700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**2 + 110398118*f - 110398120 = 0.\nAnswer: -55199060, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 40724611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 5*z**2 + 3*z + 9. Give w(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f**2 + 30*f + 28. Suppose 2*z = 5*m - 3*z + 45, -2*m - z = 24. List the prime factors of i(m).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/5862000 and -47\/90.\nAnswer: 17586000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25579369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -5*a**4\/6 + 485*a**2\/2 - 325*a. Find the first derivative of r(u) wrt u.\nAnswer: -20*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*p - h, -2*p - 4*h - 9 = h. Solve p*l - 5 = 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**5\/2 + 5*b**4\/8 - 11*b**2 + 4*b. Let z(t) be the first derivative of j(t). What is the second derivative of z(m) wrt m?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + 3*g**2 + 8*g**4)*(-1 + 5 - 2) + 2*g**4 + 2*g**4 - 2*g**4 + (17*g + 3 - 3)*(-g**3 + g**3 + g**3).\nAnswer: 35*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40? (a) -3 (b) 2 (c) 0.4 (d) 97 (e) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 11 - 2. Suppose -5*i - f*v + 22 = -0*v, 2*i + 4*v = 20. What is the third derivative of -o**i + 2*o**3 - 7*o**3 - o**3 + 0*o**2 wrt o?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 47*n**4\/6 - 7*n**3\/6 + 7*n**2\/2 + 56*n. What is the units digit of l(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 3.5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 874378 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 159 and 6519?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*t + 16 - 24*t - 13*t + 3*t**2 - 20 to the form o + r*t**2 + y*t and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 22\/371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, l: 2}. What is prob of picking 1 l and 1 o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 3, -818, 4046?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-385)\/(-14) + (-3)\/2. Let o = 26 - s. Let t(p) = 1 + 11 - 1 - p. Determine t(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - 2. Let z be a(6). Let p be (z\/((-8)\/10))\/(-1). Suppose 4*h = p*w - 6, -3*w + 3*h = -2*h - 14. Which is smaller: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -34387, -34307, -34221, -34129?\n\"Answer: 3*n**2 + 71*n - 34461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -39518\/54829 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1706 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/36 - (-4)\/(-18))\/((-22)\/396)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -43\/2, 0.034, -0.2?\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 - -0.5. Let g = -0.00000012 - o. Round g to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 4680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*r + 19, -3*r - 81 = h - 117. Suppose 3*p + 9 = j, j + 9*p - r = 13*p. Solve 4*f = 5*s + j, 0*f - 9 = 4*s - f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/8 and 7\/5996?\nAnswer: 11992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 845205 a multiple of 728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13a9edc0 + -1?\nAnswer: -13a9edc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 8*l**3 - 7)*((4 - 4 - 1)*(0 - 4 + 1) + 1 + 0 - 2 + (2 - 2 - 2)*(3 + 3 - 3)) to the form q + s*l**2 + t*l + y*l**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -15*s + 40*s - 13*s - 3*s. Let q(z) = -10*z**2 - 9*z. Determine q(l(y)).\nAnswer: -810*y**2 - 81*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 111765 (base 13) in base 9?\nAnswer: 674220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1086, 2164, 3242, 4320, 5398, 6476?\n\"Answer: 1078*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9218, -36938, -83160, -147884, -231110, -332838, -453068?\nAnswer: -591800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211212012122001 (base 3) to base 8.\nAnswer: -56257444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -g + x + 146, -g - 4*x = 33. Let d = 42 + g. Suppose 2*k - 5 = d. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 428.\nAnswer: -5\/428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 4:36 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 245 + 8. Let s = 265 + l. Solve 3 = -3*t + s for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111110011012000 (base 3) to base 12.\nAnswer: 2488690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (176 + -8)\/14 + -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 3*i**2 - 12267*i + 8959272 = 0.\nAnswer: 952, 3137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2429.23 + -2449. Round g to 0 dps.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 775 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 + -35. Let m(b) = -b**2 - k*b - 4 + 5*b - 6*b. Determine m(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 65, 59?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446961.\nAnswer: 3, 383, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 679424640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(88) + (sqrt(88)*1 - sqrt(88))*-6)\/(sqrt(160)\/sqrt(5))*4.\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04578158236 to five dps.\nAnswer: 0.04578","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00102157 rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**5 - 4*g**4 - 9*g**3 + 20*g**2 - 5*g. Let y(i) = 3*i**5 - 16*i**4 - 35*i**3 + 80*i**2 - 19*i. Let k(z) = 13*s(z) - 3*y(z). Factor k(c).\nAnswer: 4*c*(c - 1)**3*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 900\/78 - (-10 - (-22 - 0))\/(-26).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*i*j**2*t + i*j**2 - 6*j**2*t + 431*j**2 + 2*j*t with respect to t.\nAnswer: 4*i*j**2 - 6*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2. Let z(x) be the first derivative of 1117*x**2\/2 - 1185. Calculate m(z(r)).\nAnswer: 1247689*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*(b*b**(-1)*b)\/b)\/b)**(-4\/9)\/((b\/b**(2\/19))\/(b**8\/b)))\/((((b\/(b*b**(-3)))\/b)\/b)**(1\/8))**(-2\/9) assuming b is positive.\nAnswer: b**(4195\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -108388535.\nAnswer: 3\/108388535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39548.27 * 2.\nAnswer: 79096.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 5*d**2 - 4*d + 5. Let k be s(5). Let i = -11 - k. Suppose i*t = 3*t + 11. What is the remainder when t is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p - 1. Let g(r) = 14*r - 3. Let b(u) = 6*g(u) - 17*j(u). Let m = -4 - -4. What is b(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*l + 764 = -941 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ososo. Give prob of sequence ooso.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -1718, -4, 1217?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 6. Let l(j) = -j + 7. Let w(s) = 6*d(s) + 5*l(s). Let t(o) = 2*o - 9. Let y(z) = -2*t(z) + 2*w(z). Is y(7) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14579903*d**2 - 2*d - 3616859 wrt d?\nAnswer: 29159806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 671552.3 and 3.\nAnswer: 671555.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 59031171131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 79284812 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: Suppose 5*x = -0*x + 25. Let m(k) = -4*k**2 - x - 4 + 3*k + 6*k**2. Let c be m(4). Calculate the highest common factor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.15849927 rounded to one dp?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -977, -1973, -2969, -3965, -4961, -5957?\n\"Answer: -996*z + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10\/(-30) + (297330\/(-9))\/(-11)?\nAnswer: 3, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1751.49913493 - 1751.5. Round i to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + 21. Suppose 0 = p + 3*p. Suppose 2*c + 0*q - j = -5*q, c + 5*q - 34 = p. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 45 = -2*n, -8 = 2*n + 2. Let s be 0*1\/2 - 0. Suppose -3*x = 2*f - s*x - 8, 3*f + 7 = 5*x. Calculate the smallest common multiple of g and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41386981 divided by 6.\nAnswer: -41386981\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = 5*b - 4*z, -5*b - 4*z - 168 = -0*b. Let a be (-6)\/(-27) - (28\/b - 1). What is the second derivative of -6*g + 4*g**a + 0 + 0 + 5*g**2 wrt g?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484787.\nAnswer: 484787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 53557498 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -599, -2103, -4517, -7841, -12075?\nAnswer: -17219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -4, 48, 130, 248, 408, 616, 878?\nAnswer: 1200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -x**5\/20 + x**3\/12 - 7. Factor u(s).\nAnswer: -s**2*(s - 1)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2481461.\nAnswer: 2481461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i + 2*i = -56 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 4)*(-171)\/216 + 12\/16.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*x = -11*x + 532. Solve 4*u + 3*y - 35 = 0, -39 + x = -3*u - 2*y for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 290814 and 869022.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 + 8*f - 45. Let x(s) = s**3 + 7*s**2 - 4*s - 5. Let c be (-15)\/2*(-20)\/(-25). What is the remainder when x(c) is divided by d(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(228) + -1*sqrt(228)*-6 - sqrt(228) - 1*1*sqrt(228))\/((sqrt(36) + 2*sqrt(324))\/sqrt(3)).\nAnswer: -15*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56536611 to the nearest integer?\nAnswer: 7519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, b: 4, r: 3}. Give prob of picking 3 r and 1 q.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -7*n**4 - n**3 + 3*n**2. Let d(a) = -4*a**2 - 3*a**4 + 2*a**2 + 6*a**4 + 3*a**4. Let w(u) = 5*d(u) + 4*p(u). Solve w(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 14) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/20 and 65\/138.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 2, 3, -1 in ascending order.\nAnswer: -1, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1640 divide 53664447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*h**2 - 73*h**2 + 442*h**2 - 281*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 88\/14 + -6 - 12\/(-7). Suppose b*p - 2055 = 1927. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**(-2\/43)*(l*l*l**(-6)*l)\/l**(-6\/7))\/((l\/(l*l**(-2\/5)\/l*l))**(-33)*l*l**2*l\/(l\/l**(-3))) assuming l is positive.\nAnswer: l**(16711\/1505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3382799 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 317684 divided by -4?\nAnswer: -79421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 475, 487, 505, 529, 559?\nAnswer: 595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35065 or 35700?\nAnswer: 35065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 749.\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 323568 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-77)\/28*4\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i - 7. Let p be d(4). Let l(u) = u**3 - 4*u**2 - 20*u - 4. Let b be l(7). Solve -5*h = -p - b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t - 0*t - 28. Solve 0 = 3*j - 4*z + 11, -j - 6 = -t*z + 5*z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a millisecond in microseconds?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8\/13, -296, 55, 11, -5, -0.4?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + (-10)\/(-8))\/(8\/(-24)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4 = 2*n. Let y be (1 - (-2 - n - 17)) + -3. Calculate the highest common divisor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 8*k - 6*k. Suppose j - 23 = -i - 5, i = 5*j - k. Let o be ((32 - 12) + (-4)\/(-2))*7. What is the highest common divisor of i and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -752471772 + -5?\nAnswer: -752471777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1631 is divided by 321.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 3 (c) 2\/3 (d) -8 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8782023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 841 and 7221.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-2) - 48\/16. What is the remainder when (164\/(-5))\/(k*(-4)\/40) is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 74*v. Let m(c) = 3404*c. Let j(r) = -185*l(r) + 4*m(r). Let t(g) = g**2. What is t(j(z))?\nAnswer: 5476*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*4\/(-70))\/(-2583 - -2603).\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((26\/13)\/(-1))\/((-1)\/(-1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 392, 786, 1182, 1580?\nAnswer: 1980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1050 = -2*r - h, 6*h = 5*r + 4*h - 2643. Suppose r - 163 = 13*c. Which is bigger: c or 27?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 18.5. What is the second smallest value in -6, n, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in -1\/2, -1, -3.5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103209 is divided by 10313?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -460698\nAnswer: 1\/460698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00035170677 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + 0 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilometer in meters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 9*j**2 + 9*j - 6. Let f be g(-10). Suppose f*x - z - 11663 = 4*z, 2*z + 14583 = 5*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95103215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 6*2*sqrt(1280) - ((-2 + sqrt(320) + -3)**2 + 0).\nAnswer: -344 + 272*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**30\/i**(-45)*i**(-3\/31)*(i*((i\/((i\/(i**(-41)*i*i))\/i)*i)\/i)\/i)\/i assuming i is positive.\nAnswer: i**(1113\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 6120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 6*q**3 - 5*q**2 - 2*q - 3. Let p be o(5). Suppose 2*k + 2*k = p. Suppose -5*w - 28 = -k. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6908937993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**41\/(i**(-28)*i) assuming i is positive.\nAnswer: i**68","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (441*j - 205 + 15 + 189)*(3 - 1 - 4) in the form u*j + v and give u.\nAnswer: -882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29\/1387 + 8101583\/5548. Let f = b + -1448. Suppose -1 + 7*i - f*i**2 = 0. Calculate i.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 79690 and 18390?\nAnswer: 239070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 225?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -56*r - 7. Let z(o) = -28*o - 3. Calculate -2*n(g) + 5*z(g).\nAnswer: -28*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u + 30. Calculate the lowest common multiple of i(-4) and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*5*sqrt(1216) + -5*((sqrt(114) - sqrt(114)*3)\/sqrt(6))**2.\nAnswer: -120*sqrt(19) - 380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 459*j - 231*j - 2*j**4 + 34 - 225*j + 6*j**2 to g + a*j + c*j**4 + r*j**2 + b*j**3 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 23 = -8. Let s(x) = -x**2 - x - 1. Let c(h) = 6*h**2 + 6*h + 5. Determine m*s(q) + c(q).\nAnswer: q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128 and 4744?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1275 and 1836.\nAnswer: 45900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7425651570?\nAnswer: 2, 3, 5, 9811, 25229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n - 23*n - 8*n.\nAnswer: -19*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 4*j**5 - 24*j**4 - 20*j**3 + 236*j**2 + 96*j - 68. Solve r(i) = 0.\nAnswer: -2, -1\/5, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 5 (c) -0.3 (d) 8 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -r - 5*m - 12, 0 = r + 4*m + 1. Suppose -r*t = 4*f - 94, 5*t - 31 - 118 = f. Is t a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 3:29 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 4 - 6) + (-1 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 - -28. Suppose n = 6*z - 7 - 23. Suppose z*x = 2*x - 15, -s + x + 23 = 0. What is the highest common divisor of s and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/70 and 24\/35?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 11*n - 14. Let z be o(-11). Let a be 160\/168 - (-4)\/z. Let q be -1 - (0 - -3) - 1. What is the third smallest value in a, q, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - 7. Let d = -5 - l. Let m be 0\/(-4)*(-3)\/d. Solve m = 3*j - 3 - 9 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 217 = -5*v - 5*t, 2*t = 5*v - 230. Suppose v = x + 5*x. Let q(b) = -b**3 + 9*b**2 - 8*b + 6. Is q(x) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34048 and 7714?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1080697108\/215 - 5026478. Let w = a + -101\/5. Is 1 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (832\/182)\/(4\/42). Let x = c + -13. Which is bigger: 5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 158*x**2*y**4 - 1175*x**2 + 14*x*y**4 + 6*x - 1 wrt y?\nAnswer: 632*x**2*y**3 + 56*x*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -5*q**4 + 3*q**3 - 21. Let v(x) = 4*x**4 - 4*x**3 + 21. Let g(w) = -4*s(w) - 3*v(w). Differentiate g(t) with respect to t.\nAnswer: 32*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 407 = -j, 0*j + 5*i = -4*j + 1661. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/126*(-12)\/1)\/((-2)\/(-7))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*t + 45. Suppose 5*v = 2*h - 25, 5*h - 28 = -0*h + v. Calculate the highest common factor of h and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15708, -62765, -141170, -250917, -392000, -564413?\nAnswer: -768150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.7 (b) 1 (c) 0.1 (d) 1\/5 (e) 119495\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -30c + -4?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262600516 a multiple of 1795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 5*(-5)\/20*-4. What is the second derivative of -46*i + 12*i - 57*i - 3*i**h - 76*i**2 - 103*i + 16*i wrt i?\nAnswer: -18*i - 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 928+-3730\nAnswer: -2802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9983220703517.9000029 + 9983220061063. Let s = 642459.1 + v. Let a = 4.2 - s. What is a rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34823 is divided by 1943.\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -53 (b) 0.1 (c) -0.03 (d) 3\/5 (e) 87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1269*d - 162 + 12 = 1261*d + 2*v, -90 = -5*d + 2*v for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + -2 - 3) + -6 - -8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 19*q - 81. Let m(a) = -9*a**3 + 2*a**2 + 2*a + 1. What is the smallest common multiple of m(-1) and k(-11)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 24 - 92*y**3 - 10*y**2 + 0*y**2 - y**2 + 95*y**3 - 4*y. Is a(6) a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (-32)\/(-112) - (-26)\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3927779 to the nearest integer?\nAnswer: 1982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-52)*(-21 + 4136\/192)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341 is divided by 61?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 110806129 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 89*v**2 - 8*v**4 - 89*v**2 - 3*v**4 + v**4 - v**4 + (-2 + 3 - 3)*(-v**4 + v**4 - v**4) + 3*v**4 - 2*v**4 + v**4.\nAnswer: -7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100001110000011 - 1100?\nAnswer: -10100001110001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 5*i - 6. Let s = 1 - -6. Let a = s - 1. Let v be x(a). Solve 25 = -5*j - v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*h = 55868748 - 55863548 for h.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, -5, 77, 0, 5 in ascending order.\nAnswer: -61, -5, 0, 5, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - ((0 - 12) + 31)) + -2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -17 = -123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 0*g + 4. Let f be (0 + 1\/(-2))*(20 - 4). Is g\/(f\/254) + -2 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186429 = 5*c - 28556. Let a = -25098 + c. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(-h**2 - 11*h**2 + 5*h**2) + 11*h**2 - 11*h**2 - 2*h**2 + 9*h.\nAnswer: 12*h**2 + 9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 1614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 30. Is (6\/x + 0)*-35 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 3 - 32. Let j(t) = -2 + 5*t - 3*t**2 - 9 + 1 + 4*t**2. What is j(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 7:38 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -15. Let z = m - -9. What is the remainder when 36 is divided by z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -341*k**3 + k**2 + 1 + 340*k**3 + 34*k - 1 to the form o*k**2 + s*k + b*k**3 + p and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-49)\/(-84)*32\/(-8)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6235, 10, -72, 1 in decreasing order.\nAnswer: 10, 1, 0, -72, -6235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (99\/(-6))\/(-11)*(-36)\/(3\/(-1)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7680*s**3 + 24439*s**3 - 8247*s**3 - 8382*s**3.\nAnswer: 130*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0.108, -1\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 24. Let y = k - -6.5. Which is the third biggest value? (a) 2 (b) -2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -3*u**5\/20 - 13*u**4\/4 - 28*u**3 - 120*u**2 + 125*u. Factor w(g).\nAnswer: -3*(g + 4)**2*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q + 2*q + 3*q - 9*q - 6 + 10*q + 0 + (-1 + 0 + 0)*(3*q - 6*q + q).\nAnswer: 5*q - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h - 9. Let w be a(11). Let m(x) = -w - x + 0 + 1. Let d be m(-3). Solve -d*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 2*l**7\/231 + l**6\/33 + 3*l**5\/110 - l**4\/66 - l**3\/33 + 18*l. What is w in k(w) = 0?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-19 - -8) - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36192 to the power of 1\/2, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in millimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -8*((-60635393)\/56)\/13 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c + 4 + 14 - 5*c - 56 + 18.\nAnswer: 5*c - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -441 - -438. What is the smallest value in -0.05, -0.2, i, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.35 + -0.85. Which is the third biggest value? (a) 2\/5 (b) 1\/4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/249330 and 56\/124665?\nAnswer: 249330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 441 and 427?\nAnswer: 26901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 433, 438, 455, 490, 549, 638?\nAnswer: 763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331304 is divided by 15057?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 8*v**2 - 10*v - 26. Let r be l(-9). Let f(k) = 4*k**2 - 13*k + 22. Is f(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4060 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41 + 0.07.\nAnswer: -40.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3719507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w + 25. Let f(z) = -4*z - 26. What is 4*f(a) + 3*q(a)?\nAnswer: -a - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 9 = -2*y + y, 2 = 2*y. Suppose 0 = -s*a - 4 - 4. What are the prime factors of (2 - 0) + a - -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -236*i**3 + 3*i + 116*i**3 + 118*i**3 - 6*i**2 to r*i + b*i**3 + y + p*i**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-338.\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f**3 - 26*f**2 + 29*f - 3. What is u(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 297965437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -4, -3, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 - 4) + 3\/(9\/(-6)). What is the tens digit of i - -193 - 1*2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**24\/((o**(-2\/17)\/o)\/o) assuming o is positive.\nAnswer: o**(444\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 11*m + 8*m - 30, -m = 3*d + 20. Sort 5, d, -25 in ascending order.\nAnswer: -25, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*a + 178*a = 2628670. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w**3 - 10*w**2 - 8. What is b(4)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 3)*(11*m - 11*m + 12*m).\nAnswer: -60*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 3*j - 2. Let b be g(3). Let c = 4 + b. Suppose -3*u - 5*h - 26 = -10, 4*h = -u - 17. Solve -c = u*v - v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-212)\/636)\/(5\/12)*80\/416.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4575 and 510?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2. Let z(h) = -3*h**2 + 6*h. Let q(f) be the third derivative of f**5\/30 - 5*f**4\/24 - f**2. Let u(x) = 6*q(x) + 5*z(x). What is u(s(g))?\nAnswer: -27*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-12)\/(-1800)*6.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2473 is divided by 493.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*v - 278 = 15*v - 863 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 965027 is divided by 2255.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-130)\/39)\/((-14)\/(-21)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 467 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 5*c + 24 + 58, -4*g - 39*c + 110 = -48*c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -25.288 and -2.\nAnswer: -27.288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -23*z**2 - 6*z. Let k(p) = -992*p**2 - 256*p. Let g(u) = 3*k(u) - 128*n(u). Let x(q) = 149*q**2. Give x(g(o)).\nAnswer: 152576*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78*(-8)\/(-48)*((-5)\/(-7))\/(40\/28).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + 0 - (3 + -1). Let c(p) = p + 19. Let l(o) = 6*o + 95. Let n(w) = 5*c(w) - l(w). What is n(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 - 22. Let g be (-7)\/9 - n\/63. Let v = 7\/124 - -6\/31. Is v greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + -1)*54\/3. Let b be (-2)\/(-60) - 3\/n. What is the biggest value in 5, -0.1, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*k**2 - 6*k + 7*k - k as x + o*k + j*k**2 and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 2:43 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.334969227 and -444.3.\nAnswer: -442.965030773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -124*q**3\/7 - 246*q**2\/7 + 4*q\/7.\nAnswer: -2*q*(q + 2)*(62*q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1586 and 3026210.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (246\/1476)\/((((-20)\/5)\/48)\/1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 222184798 to the nearest integer?\nAnswer: 14906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -303519 * -11\nAnswer: 3338709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 33\/12 + (-7)\/((-56)\/10). Let b(f) be the third derivative of 0 + 1\/30*f**5 + 0*f**s + 0*f + 2*f**2 + 0*f**3. Let x(n) = -2*n**2. What is b(x(z))?\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**1)**(7\/5))**(3\/28))**24)**36 assuming p is positive.\nAnswer: p**(648\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.8 + 2.7. What is the closest to -1\/2 in d, 0, 1\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -100499180*f*m + 376376374*f wrt m.\nAnswer: -100499180*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -141009 and -10.54?\nAnswer: 1486234.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 0.3, 1\/3, -9.35, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-22))**(-1\/5)*o**(1\/14)\/o**(-2\/41) assuming o is positive.\nAnswer: o**(12399\/2870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -469f (base 16) in base 7?\nAnswer: -103465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3\/8 - 15*g**2\/4 - 21*g\/8 + 27\/4.\nAnswer: -3*(g - 1)*(g + 2)*(g + 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 1)\/((-2)\/4). Suppose -36 = -2*y - p*y - 3*f, -32 = -4*y - 4*f. Suppose y = 4*q - 24. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -1.9. Let i = -12\/401 - -425\/802. What is the fourth smallest value in -26, i, n, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 27. Suppose -2*l = -3*t - 0*t - 211, 5*t + q*l + 377 = 0. Let p = t + 83. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*k**5*u + 30*k**3*u - 5*k**2*u - 2*k*u - 55375*u wrt k.\nAnswer: 580*k**3*u + 180*k*u - 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 402 + -93. Let f = -4 + m. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r**2 - 4*r**2 - 5*r**2)*(-r + 0*r - r)*(-4 + 0 + 5).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 294811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 11*j - 37. Let u be s(-13). Let c be 2\/3*(-35 + 17). Which is smaller: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 121*k**9\/252 - 209*k**5\/30 - 213*k**2. Find the third derivative of w(d) wrt d.\nAnswer: 29040*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73662058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.58 + 45.42. Let u = h - 47. Which is the second biggest value? (a) 0.6 (b) -5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2 - 2834090*d + 8502279 = 0. Calculate d.\nAnswer: -2834093, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -77320185 rounded to the nearest 1000000?\nAnswer: -77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 3 = 3*p, 367*p = -u + 362*p - 17 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 l when two letters picked without replacement from {l: 1, b: 1, o: 1, v: 10}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/4 - 495*m\/2 + 987\/4.\nAnswer: 3*(m - 329)*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25316 - 16903. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1189\/3 - -2) + 10\/6. What is p rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 380 = 5*w, 4*w = -w. Let o = 111 + r. Suppose -o*z = -39*z + 320. Is z a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3699668257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4514353?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -99, 1, 2\/3, 4\/9, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/20*10\/(-4). Let v be 4*4\/8*x. What are the prime factors of v - (-3 - -3)\/(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*o**4 + 26*o**3 + 924 with respect to o.\nAnswer: -56*o**3 + 78*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/b**(-5))*b*b**(-1\/7)\/b)\/(b**(-5)\/(b\/(((b\/(b\/b**(-1\/9)))\/b)\/b))) assuming b is positive.\nAnswer: b**(124\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*x - 8. Suppose 0 = z + x*k - 3*k - 9, -4*z + 56 = -k. What is the remainder when 38 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21909986.65 rounded to the nearest one hundred thousand?\nAnswer: -21900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12202032 (base 4) to base 9\nAnswer: 40640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -35, -22?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 53 - -124772?\nAnswer: 125045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -9\/1495435?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(726)*-2 + sqrt(726))\/sqrt(3).\nAnswer: -11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u + 1. Let w be k(-3). Suppose 3*q = -0*h + w*h + 5, 4*q = 5*h + 5. Sort -4, h, -2 in descending order.\nAnswer: -2, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.14 - 0.14. What is the closest to 2\/3 in 2\/7, -3\/4, b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 7:37 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fi when two letters picked without replacement from whfii?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**4\/12 + p**3 - 3*p**2\/2 + 4*p. Let s be f(6). Which is the second smallest value? (a) s (b) 1\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k. Let i(g) be the second derivative of -g**6\/360 + g**3 - 5*g. Let t(o) be the second derivative of i(o). Determine a(t(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -16. What is the tens digit of (14\/4)\/(z\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -95 - -82. What is the biggest value in 0.3, -0.3, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 642 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48 - -47.969. Let z = 0.031 + q. What is the closest to -1 in -5, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6065.\nAnswer: 5, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 183294 and 61098.\nAnswer: 183294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16, 12, -2\/173?\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -34*i - 3 - 361\/3*i**2 - 100*i**3 - 64\/3*i**5 + 112*i**4 = 0. What is i?\nAnswer: -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 3. Suppose -2*l = g - 6, 3*g - 83 = -l - 85. Which is the nearest to -1\/3? (a) g (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -1970*h - 1797. Does 79 divide x(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/216534 and -7\/48.\nAnswer: 1732272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.14 in 0, 0.2, 2\/23, 5\/356?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**2 - 4*n - 7. Determine z(5).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 8, 257, -56\/27?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -247.075 or 2?\nAnswer: -247.075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, c: 3}. Give prob of picking 2 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1108 - -1114. Let a(s) be the first derivative of 1\/15*s**3 + 0*s**2 - f - 4\/5*s. Factor a(n).\nAnswer: (n - 2)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u - 3. Suppose -16*l - 4*l = 100. What is d(l)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-59)\/(-141128)*-32)\/(9*6\/351).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*f + 8 = -19*f - 13. Which is the biggest value? (a) -1\/3 (b) 1\/2 (c) 49 (d) 11 (e) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/8 bigger than -100686?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 32*n**2 - 33*n - 3. Let g be v(-33). Which is the nearest to -1? (a) 5 (b) 2\/15 (c) g (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(400) - (sqrt(400) + 6*(sqrt(400) - sqrt(400)*-2 - sqrt(400)) + sqrt(400))) + sqrt(400) + sqrt(400))\/(-5*-2*sqrt(98)).\nAnswer: -11*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*d**2 - 35*d**2 - 101*d**2)*(3*d - 5*d + 0*d)*(3 - 2 + 0).\nAnswer: 390*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5063 and -1996431?\nAnswer: 2001494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 0 = s - 5*k, -2*k = -4*s + 18. Suppose 51 = -8*w + 13*w - 4*z, 2*z = s*w - 29. What is the greatest common divisor of 63 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by 3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17095382317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 234\/92143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2159 divided by 127?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = t - 78. List the prime factors of t.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 4, 3*y - 4 = f - 5*f. Suppose -310 = -f*x + q, 2*x = -2*x - 2*q + 304. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1239 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 d when three letters picked without replacement from dbbbbibidbii?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(1\/((-2)\/3) + (-5538)\/(-3124)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/1012)\/(13\/104).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120714 divided by -2046.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.163 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**3 - 3*i**3 + 5*i**3)*(-2*i + 5*i + 0*i)*(-2 + 2 + 2).\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 + 20\/(-10) - 61\/(-9). What is the smallest value in -0.4, t, 1, 5, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(17))*6 + (-1 + sqrt(2448) - sqrt(2448)) + ((2*sqrt(17))**2*-3 - sqrt(17)) + 3.\nAnswer: -208 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(90) + 2*sqrt(90) - sqrt(90))\/sqrt(5) + sqrt(18))*-3)\/(-3*sqrt(96) + sqrt(600)*2 + sqrt(600)).\nAnswer: -1 - sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -48*n + 1871. Give q(39).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12440 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1568322 and 126.\nAnswer: 1568322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c3 - 4?\nAnswer: bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 times -2.7?\nAnswer: -99.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of v**3*y**4 + v**3*y - v**2*y + 9*v*y - 37*y**4 wrt y.\nAnswer: 12*v**3*y**2 - 444*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1399, 1430, 1459, 1486, 1511, 1534, 1555?\nAnswer: 1574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*b - 1233 = -3*b, 826 = 2*q + 2*b. Let k = q + -272. List the prime factors of k.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -82 < 2\/125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 244 + -264. What is the nearest to -4\/7 in 3, w, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 14*z - 20. Let r(q) = -q. Let d(l) = i(l) + 3*r(l). Is d(14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*o - 3192 = -191*o for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*v**2 + 163*v**2 - 593*v**2 + 153*v**2 + 181*v**2 + 113*v**2.\nAnswer: 194*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-8)\/288*6*240\/(-156).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -5*x - 32996, -4*y + y + x = 32990. Let d be y + 4\/((-8)\/6). Round d to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -97, -17, 95, -4 in increasing order.\nAnswer: -97, -17, -4, 2, 3, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 6:25 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 1 - 1)*(-1 - 4 + 2)*(-7*s**3 + s**3 - s**3).\nAnswer: -42*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrjyy. Give prob of picking 1 r, 2 y, and 1 j.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1861359911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 116*l**3 - 149*l**2 + 22*l - 50. Calculate the smallest common multiple of 8 and w(6).\nAnswer: 79096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b\/b**(-1\/5))*b)*b)**(-37)*b**(4\/3)\/(b*(b*b*(((b**(2\/39)\/b)\/b)\/b)\/b*b)\/b*b*b) assuming b is positive.\nAnswer: b**(-8603\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -4*d + 0*d**3 + 0 - 1\/12*d**4 + 0*d**2. Let z(u) = -15*u**2 + 2*u**2 - u**2. What is a(z(f))?\nAnswer: -196*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46081343?\nAnswer: 7, 11, 71, 8429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00016575213 rounded to 7 decimal places?\nAnswer: 0.0001658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76670377 to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x + x - x - 3 + 3 + 2*x - 2*x + 0*x + 0*x + (2 - 6 + 2)*(0*x - 3*x + 4*x) - 4135*x - 101*x - 1381*x + 1208*x.\nAnswer: -4413*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/24*-2)\/((2\/(-6))\/(2\/(-30))).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-6))\/(782\/(-92))?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5634 - -5706) + (1 + -19 - -2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 66\/((10\/56)\/((-10)\/(-12))). Solve 6 = 306*l - i*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 722 is divided by 145?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 26371 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y - 23*y + 215108 + 25563 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -12. Let t = 7 - 4. Suppose 2*m = -5*l + 57, -m + 34 = t*l - 0*m. What is the greatest common divisor of a and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46453, 181201, 405781, 720193, 1124437?\nAnswer: 1618513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/73854118 and -5\/749788.\nAnswer: 147708236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 6:49 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from {e: 2, q: 11, n: 1}?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 190.9996264 - 191. Round d to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7981 + -15961\/2. What is the second smallest value in l, 19, -5, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32697 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7333, -15399, -23465, -31531, -39597?\n\"Answer: -8066*y + 733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/7))\/v)\/v**(-6)*v*v**(2\/11)*v**(-23)\/v assuming v is positive.\nAnswer: v**(-1284\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {k: 3, m: 17}.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*m - 12. Suppose 2*h + 3*k = 11, -m*h = -k - 6 - 9. Is 78\/h*(-2)\/(-1) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 2, -2, 397, -59.\nAnswer: -59, -49, -2, 2, 397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + m**2 + 6*m + 2. Let a be l(3). Suppose -g - 5*k - 11 = -2*k, k = -5. Suppose a*h - h = g. Solve 2 = w - 2*z - 0, -3*w + h*z = -2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.593 - -0.02\nAnswer: -0.573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 - 59*w**2 + 122*w.\nAnswer: -w*(w - 2)*(w + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -528187, -1056369, -1584551?\nAnswer: -2112733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -1.22.\nAnswer: 1.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*a - 12611 = 10555. What is the highest common divisor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6)*1)\/(10\/(-30)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - 23. Let k be -15 + (16\/24)\/((-4)\/30). Calculate y(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4963 - 4946. Solve -b*f = 27 + 7 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 6*i - 63. Suppose 0*w = 3*w - i. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 - -42 - (-18 + -3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/98 - 2518\/(-7) a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 9:05 AM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -6, -0.4, 0, 0.4, -246?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, -28, -103, -160, -193, -196?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**3 - 99*q**2 + 690*q + 1800 = 0. What is q?\nAnswer: -2, 15, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*w + 5 - 5)*(-93 + 93 + 380*w**3 - 2322*w**3) + 4 + w**4 - 4.\nAnswer: 54377*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1026 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 295472\/(-3540) - (-105 - -21)?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5327359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -2, -1, -6, 4, 46, -5 in descending order.\nAnswer: 46, 10, 4, -1, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2931 + 9309 = -255*n for n.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 1. What is j(14)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l. Let h be y(2). Suppose h*v - 32 = 60. Solve -v = -5*j + 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/86 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1474 + 4?\nAnswer: 1478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 11460000 to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000226294 rounded to 7 decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13256714831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68289*p - 1568 = 68345*p for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2\/13, 1\/8, 0 in descending order.\nAnswer: 2\/13, 1\/8, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**4\/19 - 2*u**3\/19 + 6*u**2\/19 + 2*u\/19 - 4\/19 = 0. Calculate u.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.47 - -25.13. Let s = f + -43.7. Let i = 18 + s. Which is the closest to -2\/3? (a) -4 (b) -0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**4\/4 - k - 2. Differentiate b(c) with respect to c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 3:56 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 22 = -5*u, 3*u = 2*u + i + 5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 507 - 5*q + 4*q**4 + 6*q**3 + 0*q**3 - 507 to j*q + p + x*q**3 + z*q**2 + s*q**4 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1122 and 375738?\nAnswer: 6387546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*p**3 - p - 150 - 15*p**3 - 20 - 5*p**3 + 34*p**3 to y*p**2 + z + g*p + m*p**3 and give z.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (112\/(-8))\/(-2 + 0). Solve 0 = -2*z - c + 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133330 (base 4) in base 14?\nAnswer: a60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01351636 rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (1920\/525 - 12\/15)*21 and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-6) - 68\/(-12). Suppose -14*g + 18*g + 20 = 0, -3*g - 80 = -5*b. Is n less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, l: 1, y: 4}. What is prob of picking 2 y and 2 d?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/60*5*(-15)\/25. Let r = -6 + 11. Suppose b = 3*b - 4, 39 = r*l + 2*b. Which is smaller: z or l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 535 - -1?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 41 and 5701.\nAnswer: 233741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302 is divided by 101.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -653*u - 2 + 2 + 325*u + 326*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38547 - 1156261\/30. What is the common denominator of 81\/80 and a?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31379 + -31384. Put r, -11, -5\/9, -2\/7 in increasing order.\nAnswer: -11, r, -5\/9, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 14. Suppose 2*f = 3*s + 48, 4*f - 3*f - 24 = 2*s. Suppose 4*z - k + 87 = 8*z, -2*k = -z + f. What is the lowest common multiple of a and z?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**6)\/((b\/(b**(-1\/5)*b)*b)\/b))**(-2\/5))**(3\/32) assuming b is positive.\nAnswer: b**(-51\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**5 + 3360*o**4 + 3363*o**3 + 841*o**2 = 0. What is o?\nAnswer: -1\/2, 0, 841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 6525.\nAnswer: 71775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of c**2\/2 + 2. Let n(k) be the third derivative of -5*k**4\/12 + k**3 - 11317*k**2 + 2*k. Determine x(n(b)).\nAnswer: -10*b + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 262685 and 1109660?\nAnswer: 2455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194*z = 375*z - 3414. Solve z*p - 901 = -919 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/852894 and -29\/8.\nAnswer: 3411576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46*u - 41 + 107 + 42 wrt u?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (6 + (-21 - -8))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/432 and 187\/2430?\nAnswer: 19440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9054.8ng in micrograms?\nAnswer: 9.0548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*k**3*p**2 + 738268*k**3*p*v**3 - 1999325*k**2*p**2 + 2*k*p*v**3 + 3*k*p*v wrt k?\nAnswer: 132*p**2 + 4429608*p*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 115*i + 2140. Does 31 divide n(95)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4)*f)**(-20\/9)*f**(-2\/3)\/((f*f\/(f**(-11)*f))\/f))**(2\/21) assuming f is positive.\nAnswer: f**(-10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r - 10*r + 7*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5665*m - 5655. What is u(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 56*o + 271. Determine l(-15).\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22441163 to the nearest integer?\nAnswer: 4737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6074402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*sqrt(637).\nAnswer: 1 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3764 - -1768. Let j = v - -3596. What is j rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 116035243?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 10*c = -4*p + 44, -c + 4*p = 23. Suppose -3*g + 5 = 4*a, 14 = 2*a - 4*a + 4*g. Find the common denominator of (c\/(-5))\/((-7)\/(420\/(-16))) and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of 0 - 3\/20*b**5 + 0*b**2 + 3*b - 3\/4*b**4 - b**3. Factor i(m).\nAnswer: -3*m*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**2 + 1173*m + 896280 = 0. What is m?\nAnswer: -385, 776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**5\/40 - 15*t**4\/8 + 117*t**3\/4 + 1485*t**2\/4 + 9801*t\/8 + 343. Determine s, given that l(s) = 0.\nAnswer: -3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.155+0.1\nAnswer: -1.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 123 and 3299778?\nAnswer: 135290898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 93 = 123, 3*p = -2*r + 22. Solve 3*h = -r*v, 3*h = -4*v + 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -188 (base 11) to base 7\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 9:25 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2171, -8699, -19581, -34817, -54407?\n\"Answer: -2177*w**2 + 3*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (26*t + 25*t - 5*t)*(0 - 1 + 3)*(7 + 4 + 10) as g*t + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 9*m + 6. Let k(y) be the first derivative of y**3\/3 + 4*y**2 - 5*y - 127. Suppose -2*x + 10 = -4. Calculate x*k(w) + 6*n(w).\nAnswer: w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krrfcrcfkufe. Give prob of picking 1 u and 1 e.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**4 - 1140*p**3 + 2292*p**2 - 1148*p = 0.\nAnswer: -287, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5721280*f - 11442668*f + 5721392*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7936948429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -395d - -a?\nAnswer: -3953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/29))**7*m**13\/(m*m**(-11\/4)) assuming m is positive.\nAnswer: m**(1767\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 115 + -112. Solve -48 = -p*x - 63 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 324212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3972583 a multiple of 585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31\/(-124))\/(4\/((-32)\/(-2)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5264 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: Suppose 4*d + 5 + 3 = 0. Let m be -2*d\/(-12)*-3. Solve k - m = -6 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 - 55?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*m - 2*k, -50*m - 10 = -48*m - 2*k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -9*v - 26. Suppose 3*x + 0*x - 21 = 0. Calculate the remainder when v is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 5*t - 170. Suppose -7*s - 2074 = -68*s. What is the greatest common factor of t and s?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-33)*(-1 - 2)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 2*y = -12, 4*y - 4256 = 2*u - 4242 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31470 (base 15) to base 9.\nAnswer: 257306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 57791 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 260 + -260.00171. Round g to 4 dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.05788, -105, -4\/7?\nAnswer: 0.05788","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1901745090 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 853517693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g - 68. Calculate t(13).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*((2 - 12) + 2). Let t(f) = 7*f - 1. Let l(x) = -6*x. Let w(z) = 4*l(z) + 3*t(z). What are the prime factors of w(g)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2\/6 + 125862934*l\/3 + 50345174\/3.\nAnswer: -(l - 50345174)*(5*l + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128556 is divided by 1916.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15155557.\nAnswer: 15155557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + 5*(sqrt(133) - 1*sqrt(133)) + sqrt(133)*2*-3)\/(-3*sqrt(175)*2).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 - ((26 - 16 - (-9 + 41 - 10)) + 20).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*a = -123 + 549. Let h(p) = 9*p - 1. Let o(i) = 8*i. Give a*o(n) - 2*h(n).\nAnswer: 6*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or 58060970?\nAnswer: 58060970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 127, 133, 151, 187, 247, 337?\n\"Answer: m**3 - m + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qttjtjtjqetetjttjjt. Give prob of picking 2 t.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 8:58 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14 - 627\/45)*6. Find x such that 3\/5*x - 3\/5*x**3 - 2\/5*x**2 + b = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327653 to the power of 1\/2, to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 4:02 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 5*i + 4. Suppose -2*m - 9*f + 14 = -12*f, -4*m - f + 28 = 0. Give u(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 181*i**2 - 7*i - 13. Is s(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2491 and 371.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 130 + -306. Let m be 22\/w - 49\/(-8). Suppose -4*d - 30 + 126 = 0. What is the highest common divisor of d and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58131133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-1)*(-48 - -58)*(-154)\/(-245).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-319)\/(-58) + (-1)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4)*(-6)\/(-3). Suppose 2*a = -a. Let h = n - a. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*i + 6 = 0, 4*x - 7*i = -8*i + 7. Suppose -2*c + 837 = -5*r, -5*c - 2*r = x*r - 2142. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 2:14 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 0.0515?\nAnswer: 0.4485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(187) - -5*2*sqrt(187) - sqrt(187))*5)\/(sqrt(11)*1*-6 - (sqrt(121)*-2)\/sqrt(11))*-2.\nAnswer: 50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 31*p**4\/4 + 2*p**3\/3 - p**2\/2 - 15*p + 18. Let o(j) be the first derivative of l(j). Is o(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/(-8398)*-19*-273.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 a when three letters picked without replacement from {a: 3, o: 2, i: 5, w: 1, u: 1, z: 1}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -57 (b) -3 (c) -0.04 (d) 20 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12130890?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/24*5\/2.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**6\/120 - c**5\/15 + c**4\/24 + c**3\/3 - 12*c**2. Calculate f(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-212)\/(-20) + -10 + 126\/(-10). Sort -9, -5, 4, u in decreasing order.\nAnswer: 4, -5, -9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**3 + z**3 + 2351376*z - 2351212*z.\nAnswer: -z**3 + 164*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/183612 and 139\/2574.\nAnswer: 550836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 47723\nAnswer: -47722.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3430064773?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 7:05 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 9:29 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 742996 is divided by 762.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 1034*o + 1278*o + 73 - 38.\nAnswer: 244*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 9*l - 291. Let q(i) = 11*i + 2. Calculate q(x(g)).\nAnswer: 99*g - 3199","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 48*p**2 - 29*p + 662. What is c(-47)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 7) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (144\/64)\/((-7)\/((-420)\/(-75)))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 3:19 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4181 + -4180.983504. Round r to 3 dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4254 - -4254.2. What is the nearest to -2\/7 in m, -2\/267, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 80518, 80113, 79706, 79297?\n\"Answer: -c**2 - 402*c + 80921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -1, -2\/7, -0.2, 5, 0.678 in decreasing order.\nAnswer: 5, 0.678, 3\/5, -0.2, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 39228\/(-71918)*(-10)\/(-3)\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - q - 1. Let j(v) = 5*v**4 - 4*v**2 - 6*v - 4. Let p(b) = -j(b) + 4*y(b). What is the second derivative of p(i) wrt i?\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -14, -39, -74, -119?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u - 7. Let a be c(-3). Suppose -4*j - 265 = -4*i + 1655, -a*i + 2403 = -2*j. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-12*(-11)\/440)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16.6 - 17. Let l = -35 + 353\/10. Which is the third smallest value? (a) -2 (b) z (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 1.1. Suppose -3*v + 6*v = 15. Let x = 0.39 + -0.19. What is the closest to -1 in v, x, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -294372 or -294374?\nAnswer: -294374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 0 + 1\/2*l**3 - 3\/2*l**2 + 4*l. Is 33 a factor of p(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rra when three letters picked without replacement from pprararpaaha.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 11) in base 3?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 141626 - -12.\nAnswer: 141638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**5)\/l**(-1\/5)*l**(-2\/17)\/l*(l*(l**(-2\/7)\/l)\/l*l)\/l)\/(l\/l**(1\/2)*l**1*l*l\/(l\/(l*l\/l**(1\/3))*l)*l*l\/(l\/(l**7\/l))) assuming l is positive.\nAnswer: l**(-22741\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxxyxxyxoxxy. Give prob of sequence xo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -12. Suppose f = -o + 9*o - 536. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -1725*i - 3*i**2 + 1718*i + 8 + 2*i**2. Determine r(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 224911*q**3 - 740993*q**2 wrt q.\nAnswer: 1349466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 731 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 7*p + 3 + 2)*(-3 + 3 - 2*p).\nAnswer: 14*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/7)\/(7\/(-49)). Let i = y + 9. Calculate the remainder when 20 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**2\/2 - s + 22. Let o(b) = b + 2. What is 5*f(p) + 2*o(p)?\nAnswer: -3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 907.9978 microseconds in seconds?\nAnswer: 0.0009079978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 3 = -5*x. Let o be (-2)\/5 + 0\/x. Let f = -1.3 - 1.7. Is o at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 2*d + 0)*(4*d - 15*d - d) + 5*d**2 - 3*d**2 - d**2)*(2 + 23 + 34) to i + a*d**2 + f*d and give a.\nAnswer: 1475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/300 and 7\/160.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -741*m**2 + 2*m - 1. Let o be q(1). Let b be o\/(-90) - 4\/18. Solve 0 = 4*p - b*g + 3*g + 31, 3*p + 27 = 5*g for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1380 divided by 4\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 10) to base 4.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 9. Let w(r) = -r**2 + 11*r + 16. Let j be w(12). Suppose -j*h = -2*h. Which is smaller: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001116296 to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81 + 425*g**2 - 81 + 424*g**2 - 841*g**2.\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/153 and -8\/15.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, -4, -3\/11, -43, -0.5, -152?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 5:21 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1157*m**4 + 4*m**3 + 3709*m**2 - 308829302*m wrt m.\nAnswer: -13884*m**2 + 24*m + 7418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*o - 17*o - 142*o - 68*o.\nAnswer: -188*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 125 = -4*l, 2*l = -3*l - 2*o + 181. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6235386 and 955.\nAnswer: 31176930","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41850680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 49 = -3*q + 25, 2 = -2*y. Suppose 2*f - 12*f = 260. Let h = f + q. Which is the closest to 0.1? (a) h (b) 3 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 35*y - 237. Give w(-28).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -808\/13 - -62. Let l = -185\/6 - -33. Let w = l - 3\/2. Which is bigger: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 9) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -2. Sort -1, 0.04, r in increasing order.\nAnswer: -1, 0.04, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/10)\/((-10)\/100). Suppose 0 = -z*o + 9*o. Solve o = -j - 2*m + 8, -12 = -j - 3*m - 0*m for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2581.8974 rounded to the nearest 10?\nAnswer: -2580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - 2 - -26) + (3 - -1). Solve 32 - m = 2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 2*x = 12. What is the second derivative of -2*j**3 - 6*j**x + 7*j**3 + j wrt j?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 492906*v**3 - 26*v**2 - 44389249*v wrt v?\nAnswer: 2957436*v - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 12) in base 16?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-1))\/3*2. Let l(q) = -3 + 2*q - 4*q**2 + 0 + 3 + c + 2*q**3. Is l(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3886, 3904, 3908, 3898, 3874, 3836, 3784?\n\"Answer: -7*k**2 + 39*k + 3854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -48666.1 to the nearest 1000.\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m. Let k(u) = -u**3 - 79*u**2 - 1597*u - 1521. Let y(q) = 2*g(q) - k(q). Determine j so that y(j) = 0.\nAnswer: -39, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(100)\/(sqrt(18) + sqrt(2)) + sqrt(50) - sqrt(18)\/(-5*sqrt(36)).\nAnswer: 127*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/2*220348\/(-23101)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46008*-3790.\nAnswer: 174370320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 4*k - 14. Let j(u) = u**2 - 3*u + 13. Determine 3*f(t) + 4*j(t).\nAnswer: t**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - k - 176, -4*r - k - 37 + 185 = 0. Let g = r - 32. Solve 0 = -4*a - n, -3*a = -a + g*n - 14 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -489, -940, -1375, -1788, -2173, -2524, -2835?\nAnswer: -3100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 129*t**3 - 65*t**3 - 11*t - 63*t**3 + 32 - t**2 - 3*t**2. Let f be p(5). Solve l + 4*d - 18 = 0, -4*l - f + 6 = -d for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 3*t**2 - 2*t + 2. Let v be x(2). Suppose -v*i + 4*d + 15 = 1, 1 = -d. Solve i - 3 = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (6 - (-6 - -6 - -7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -4\/9, 3 in decreasing order.\nAnswer: 3, -4\/9, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510248778.\nAnswer: 2, 3, 13, 17, 31, 12413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97 + -91. Suppose 2*k - n = 0, 4*k = -3*b - k + 15. Suppose -5*t - 5*f + 6458 + 422 = b, 2757 = 2*t + f. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2026, -2021, -2024, -2041, -2078, -2141, -2236?\n\"Answer: -i**3 + 2*i**2 + 6*i - 2033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 - 152. Let p = 6084 + -6200. Which is smaller: d or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*r - 4*r + 9*r + 2*r as a*r + g and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2016 = 17*l - 33*l. Let f(i) = -i**2 + 8*i + 2. Let k be f(6). What is the greatest common factor of k and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -0.5 (c) -0.3 (d) 0.37 (e) 2231 (f) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 2*f**3\/3 - 11*f**2 + 54*f - 3700. Give h(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 1176?\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -208, -214, -220, -226, -232?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 558, 2305, 5216, 9291, 14530, 20933, 28500?\n\"Answer: 582*a**2 + a - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17*90\/(-14535))\/(21\/(-133))*30\/1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**3 - 10*a**2 + 7*a + 2. Determine v(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -3, 10*f + 6*f + 114 = -4*o + 12*f + 22 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbc when three letters picked without replacement from {f: 1, c: 1, q: 1, d: 3, b: 2, n: 3}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3130 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*f - 4. Suppose 6 = 4*p - 2. Calculate the remainder when f is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 9:26 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 19*a**2 + 19*a - 3. Let c be v(18). Suppose -c*m - 39 + 159 = 0. Solve 3*s + m = -4*x, -3*s - 2*x = -x - 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1106 - -8863\/8. Factor 3\/8*w**2 + 0 - s*w.\nAnswer: 3*w*(w - 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 o when three letters picked without replacement from {r: 2, t: 2, o: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**3 - 20*h**2 - 1177. Let v(b) = b**4 - b**3 + b**2 + 1. Let r(w) = k(w) - 3*v(w). What is the derivative of r(x) wrt x?\nAnswer: -12*x**3 - 46*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35573774701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -663 = 28*n - 2*n + 13*n for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 180*k**3 - 333*k + 17*k**3 - 538*k + 72*k**3 - 297*k wrt k?\nAnswer: 1614*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r**3\/4 - 5547*r**2\/2 + 1560225*r\/4 - 13802258 = 0. Calculate r.\nAnswer: 71, 10952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 + -38. Suppose -q - 3*b = 2*b - 24, 0 = -2*q + 3*b - a. Which is smaller: 3\/10 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -4 (c) -0.02 (d) -0.4 (e) -2\/61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -110*j**3 + 4*j**2 - 2*j - 1. Give y(1).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10807727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -26 - 584?\nAnswer: -5aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -4689075 >= -4689064?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b**2. Let k(r) = -r - 12. What is k(f(a))?\nAnswer: 5*a**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-2848)\/(-623))\/(-2*1\/(-14))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 397044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 37 = 22. Suppose -r = -3*s + 73, 2*r - v*s + 2*s + 121 = 0. Let o = r + 99. What are the prime factors of o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 7:15 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -183*u + 1. Let l be g(-1). Let p = l + -65. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 6*w - 3. Let b be c(5). Calculate the remainder when 40 is divided by 2 - b - (2 + -16).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*-1*sqrt(153)*1)\/(1*(sqrt(9) + sqrt(9)*1)*-5).\nAnswer: -sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9\/47 + -175\/423. Which is the second smallest value? (a) w (b) 0.3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 11) + -9 + 22 - (0 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1539) + -2 + 2 + (sqrt(1539) - (0 + sqrt(1539))) + 1 + (-5 + sqrt(1539) + -1*(-4 + sqrt(1539)))*5)**2.\nAnswer: 72*sqrt(19) + 1555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 (base 10) in base 5?\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14268 (base 10) in base 5?\nAnswer: -424033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1. Let z(m) = 25*m + 6*m - 10*m + 0*m - 2 + h. Let q(c) = -c**2. What is z(q(k))?\nAnswer: -21*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l*l\/((l\/(l*(l*l\/(l\/(l\/l**48)))\/l*l))\/l)*l*l*(l*l\/(l\/(l**(-38)*l))*l*l)\/l*(l\/((l\/(l**(-24)\/l*l))\/l))\/((l*l**44*l)\/l) assuming l is positive.\nAnswer: l**(-142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 - -33. Solve q*r + 8 = 6*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 28*s**2 + 1311 + 2*s - 659 - 656 + 0*s. Let m(c) = c. Determine p(m(i)).\nAnswer: 28*i**2 + 2*i - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3 - 29*i**2 - 91*i + 87. What is m(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-245)\/(-140)*(-40)\/(-20).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57)\/4 + 9)*(-40)\/30?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7295*s - 2986*s - 2901*s - 8742*s in the form h*s + k and give h.\nAnswer: -21924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2. Let i(q) = 16*q - 3. Let s(g) = -31*g + 5. Let o(n) = -10*i(n) - 6*s(n). What is m(o(r))?\nAnswer: 1352*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*z**4 - 16*z**3 - 4*z**2 + 27*z.\nAnswer: 144*z - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {t: 8, q: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 24.951.\nAnswer: 25.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdwc when four letters picked without replacement from wwwwcwcncdcdwfcn.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50939, 203707, 458313, 814751, 1273015, 1833099, 2494997?\nAnswer: 3258703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28543399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 1:31 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -10*d**3 - 1128*d**2 + 249*d + 2592. Determine q(-113).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -118, -133, -170, -241, -358, -533?\n\"Answer: -2*i**3 + i**2 - 4*i - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11130 * -8.\nAnswer: -89040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-7 + (-2 - 3 - -9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 84526275 divided by 3\nAnswer: 28175425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/4))**(2\/71)\/((f**(1\/6)\/f)\/(f*(f*f**(3\/10))\/f*f)) assuming f is positive.\nAnswer: f**(6689\/2130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t = 9*t + 16*t + 215. What is the closest to 66 in 5, -3, 2, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 534 - -715. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46.392 + -46. Let s = t + -0.092. Which is the nearest to 0? (a) s (b) -13 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*p**5 - 3*p**3 - p**2 + 12?\nAnswer: 1620*p**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 w when three letters picked without replacement from uuwwuiuyussuiuiwys.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from hidfppfihhhs.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 160 + 0*j**3 + 0*j**3 - 266 - j**3 - 5*j**3 to the form b + u*j**3 + r*j**2 + w*j and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/3, -4, 368, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 666?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t - 7. Let n(x) = 2*x - 14. Let g(m) = 2*n(m) - 3*o(m). Determine g(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.707 and 39.\nAnswer: -27.573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -180131894 equal to -180131894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12255829*y**3 + 6127917*y**3 + 6127910*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 113 + -111. Solve 0 = 2*m - y - n, -2 = -m + y - 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 2*w**3\/3 - 27*w**2 + 101*w + 193. List the prime factors of i(40).\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(6\/(-8))\/((-21)\/28)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 4077 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-3))\/((-23)\/6417). Suppose -2*y + 3*s = -c, 3*s - 4*s - 95 = -2*y. What is the remainder when y is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 7 = -6*q. Let s be (150000\/q)\/(5\/9590). Round s to the nearest 1000000.\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - n = 0. Solve t = -2 - n for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2652 (b) -4 (c) 3\/2 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*n - 4*n + 2*n**3)*(9*n + 10*n + 87*n) to the form w*n + m*n**3 + d + f*n**4 + c*n**2 and give f.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + k - 2 + (4 - 1 - 2)*(5 - 5 + 37*k) + (k - k - 3*k)*(-1 - 1 + 0).\nAnswer: 44*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - p + 2*p)*((3*p + 0*p - 2*p)*(-3 + 2*p + 3) + 228*p - 228*p - 98*p**2).\nAnswer: -96*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-8)\/y*y**27 assuming y is positive.\nAnswer: y**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**0*z))\/(z**(-1\/5)\/z) assuming z is positive.\nAnswer: z**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**11)\/a)\/a**(-1\/17))**(-7\/13) assuming a is positive.\nAnswer: a**(1302\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9422684 is divided by 31726?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8543 + 12868. Is o a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeed when four letters picked without replacement from eddedkdeddekede?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - p**3)*(10 + 0 + 5).\nAnswer: -15*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4444678623 to the power of 1\/3, to the nearest integer?\nAnswer: 1644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 0. Let f be -2 - 3*(b + -2). Let r = -2.9 + 3. What is the biggest value in -3, r, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - -2)*2\/8. Let a(v) = -4*v**2 - 5*v + 5. Let p(f) = f**2 + f - 1. Let i(l) = d*a(l) + 5*p(l). Suppose i(k) = 0. Calculate k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11 - (4 + 0) - 2. Find the common denominator of (-222)\/(-12) - (a + -1) and 53\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1)\/h)**(-7))**43)**(1\/14) assuming h is positive.\nAnswer: h**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 9*h**3 + 3*h**2 - 5*h - 13. Let x(b) = -4*b**3 - b**2 + 2*b + 6. Calculate -2*f(s) - 5*x(s).\nAnswer: 2*s**3 - s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64172 is divided by 84.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -530*o**3 + 265*o**3 - 8 + 273*o**3 - o + (2*o**3 + 2*o - 2*o)*(-3 + 2 - 1) to z*o + h*o**3 + b*o**2 + i and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -275 greater than -278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/27)\/(4\/(-378)). Suppose 0 = -2*q - 5*d + s, -3*d + 129 = 5*q - 0*q. What are the prime factors of (-1)\/(-6) + 428\/q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -126, -3, 7, -18 in increasing order.\nAnswer: -126, -18, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 408621905*r**3 + 5911*r + 22465 wrt r?\nAnswer: 2451731430*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2587?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*z + 106*z + 2*z**2 + 2*z**2 - 51*z.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*((-6)\/(-4) - 1). Suppose u - 10 = -4*y, -2*u - 3*u + 5*y - 25 = x. Let j = u - -4. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 - -92. Let g be ((-16)\/(-3))\/(-2)*-3. Factor i*w**2 + 6*w**2 + g + 27*w**2 + 52*w - 49*w**3.\nAnswer: -(w - 2)*(7*w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -13\/80*j**5 + 16*j - 2 + 0*j**2 + 1\/12*j**3 + 11\/48*j**4. Find r such that m(r) = 0.\nAnswer: -2\/13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -411.\nAnswer: -2\/411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27760? (a) -39 (b) 4 (c) -7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(36\/(-15))*378\/105?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(130)*-3 + (sqrt(130) - -6*-2*sqrt(130) - sqrt(130)))\/(sqrt(20)\/(3*-3*sqrt(2))) + 1.\nAnswer: 1 + 162*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**2 - 186217*m + 558649*m - 186216*m - 186216*m.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85662?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4846*f + 4756*f - 9602*f + 611*f**2.\nAnswer: 611*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*m**(-18))\/m)*m*m**(4\/7)\/m)**26 assuming m is positive.\nAnswer: m**(3562\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 + 6931*r - 6930.\nAnswer: -(r - 6930)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7125.712ns?\nAnswer: 0.007125712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z + 46. Suppose -25*u + 9*u + 224 = 0. Calculate s(u).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0568 and 203.\nAnswer: -11.5304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*x**2 + 21 - x**3 + 593*x**4 + 40*x**2 - 597*x**4 + 3*x**3 to the form u*x**2 + i*x**3 + h + v*x**4 + q*x and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**3\/6 - 4*b**2 + 33*b - 2. Calculate h(9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 7:07 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*f**3 - 19860 + 19860.\nAnswer: 29*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 113 - 81. Let j = 79.29 + -77.29. Which is the second smallest value? (a) 2\/9 (b) j (c) q (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 2 + (-2 - 2 + 2)*(2 - 1 - 2))*(-d**2 - 3690 + 2243 + 2645).\nAnswer: -6*d**2 + 7188","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 359960?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 3*v + v)*(0 - 3 + 1)*(0*v - 4*v + 5*v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, s: 8, c: 2, k: 1}. Give prob of sequence cg.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -189 + 218. Let s(i) = i. Let n be s(6). Let t = n - -2. Calculate the remainder when h is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*u - 11*u + 48020513 = -8630571. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 1. Let r(y) = 4*y - 8. Let j(n) = -10*l(n) - r(n). Find the first derivative of j(p) wrt p.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 371601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4*q = -9*q + 1099260. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -1110120012111020?\nAnswer: 1110120012111012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p - 13. Suppose -4*v + 0 = -b - 3, 2*v = 3*b + 9. Let o be t(b). What is the nearest to 2.5 in -0.2, -1\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -649, -997, -1345, -1693, -2041, -2389?\nAnswer: -2737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 110921409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 7. Let q = 3 - 2. Calculate the least common multiple of -1 + q + (-44)\/(-2) and l.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 365\/15*(4 + -1). Let s = -32 + z. Suppose -s = 2*f + 3*l - 133, f + 4*l = 46. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 8*h = 104. Let y = -23 - h. Suppose y*t - 95 = -b - 26, 4*b = -4*t + 84. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4424429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6\/11 (b) 5 (c) 2\/19 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -5 (c) 1 (d) 0.0386 (e) -1.9 (f) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + sqrt(162) + 1*sqrt(162)*6 - -5*(sqrt(162) + (sqrt(162) - (sqrt(162) + -1)*5)))**2.\nAnswer: -3024*sqrt(2) + 10809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11296, -11289, -11282?\nAnswer: -11275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 - 99720*t + 240974524.\nAnswer: -4*(t - 2219)*(t + 27149)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 + r**5 - r**2 + (9*r**3 + 419*r**2 - 419*r**2)*(9*r - 9*r - 20*r**2).\nAnswer: -179*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 275136*n**2 + 16442*n - 12?\nAnswer: 550272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 6) in base 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2065 + 63672?\nAnswer: 65757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(4410\/(-1123815))\/(18\/22)?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -171 + 358. Let r = c - 90. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2680 and -3.\nAnswer: 8040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 443696105.\nAnswer: 5, 23, 271, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -225 + 2*x + 2*x + 234 in the form f + s*x and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 4)*(-2*o**2 + o**2 + 0*o**2) - 82716*o - 1534*o**2 + 82716*o - o**2 + o**2 - 2*o**2.\nAnswer: -1537*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5*b = -13, 2*o - 11 = -o + b. Solve v = -5 + o for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of b**6\/160 + b**5\/240 - b**4\/32 - b**3\/24 + b**2 - 4. Let p(m) be the second derivative of t(m). Find o such that p(o) = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 876*s - 877*s - 2*h - 9 = 0, -17 = 3*s + 4*h for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + 6*y + 1. Suppose -5*f - 4*q - 20 = -6*q, -8 = 2*f + 2*q. List the prime factors of a(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1579780 + -9?\nAnswer: -1579789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 44 = 2*b + y, b - 3*y - 13 = 0. Suppose -h + 75 = -37. What is the remainder when h is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 3 - 2 + 2 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.7035053 milliseconds?\nAnswer: 703505.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1665*r**3 - 5*r**2 - 2.\nAnswer: 9990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -4, 0.2, 7, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19605 + 19605.036. What is the fifth biggest value in -4, j, 4, -2\/9, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/4)\/((-38)\/38).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -129425 at most -129424?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000008227858 rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/16*(4 - 0). Suppose -2*f + 4*k = -112, 5*f - q*k - 284 - 6 = 0. Calculate the remainder when f is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17185\/(-491)*2\/(28\/(-6)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12841199?\nAnswer: 7, 23, 47, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2870*a - 62. Let j be c(-2). What is j rounded to the nearest one hundred?\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = i + 2*t, -17 = -i + 2*t + 5. Let g = i + -6. What is the first derivative of 14*a**4 - 31*a**4 - g + 5*a**4 wrt a?\nAnswer: -48*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 235278921518.\nAnswer: 235278921521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) 5464 (c) 2\/3 (d) -195.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2032 + 16?\nAnswer: -2013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12189754, 12189755, 12189756, 12189757?\nAnswer: 12189758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of f**4\/84 - 10*f**3\/21 - 3*f**2\/2 - 75*f. Determine j, given that r(j) = 0.\nAnswer: -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - 44\/10 - (-348)\/120. What is the smallest value in 5, 19, -2, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 0*v - 4. Let g be (v - 3) + (15 - 1). Suppose -7 = -5*a + g. Solve -a*z = -2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1485004*26\/312 + ((-8)\/(-3))\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b + 2. Let v be u(-5). Let i = -8 + v. Let k = 34 - 34. Solve i*p - 4*p = k for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 - 1 + 33 + 0*j**2 + j**2 + 7*j. Let c be o(-3). Solve 2*n + 6 = -c for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*f - 0*f + 60, 0 = -5*a + 15. Suppose 5*g - 20 = -4*j, 3*j - 3*g + 2*g = f. Solve -2*i + 3 = -4*n - 7*i, 0 = -j*n + 3*i + 24 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**9)\/(f*(f*f**(-1\/5))\/f)*(f\/(f*f\/f**9*f*f*f*f))\/f**(-1\/5) assuming f is positive.\nAnswer: f**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11404333 by -5.\nAnswer: -11404333\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -18*f + 216. Solve 4*g - 8*g - 4*n + f = 0, 3 = -g + 2*n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -2\/9 (c) -1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16902 and 2226369.\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -205, -1667, -5639, -13375, -26129, -45155, -71707?\n\"Answer: -209*y**3 - y**2 + 4*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -210080, -420432, -630784, -841136, -1051488?\nAnswer: -1261840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -348*d**2 + 80*d - 4 + 2 - 75*d**2 - 2 wrt d?\nAnswer: -846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by 11075735?\nAnswer: 14\/2215147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 50*k**5 - 110*k**4 + 16*k**3 + 8*k**2 = 0.\nAnswer: -1\/5, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 22 = -b, 78*b = 80*b - 3*s - 22. Solve -t = -0*t - z + 2, 5*t + 3*z = b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 7:21 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -86.\nAnswer: -86, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 6*g + 3. Let b be u(6). Suppose 3*n - 7 = -2*j + j, -3*n = -4*j - 32. What is the second derivative of -n*w**4 + b*w**4 - w**4 - w wrt w?\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -358*s - 114*s - 191*s + 148*s.\nAnswer: -515*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -60664.18 to the nearest 1000.\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3122332133 (base 4) in base 11?\nAnswer: 562969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-1 + -4 + -1 + 10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.9981*0.08.\nAnswer: -0.319848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 968792299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4*(-3*sqrt(5))**2*-2)*-1.\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4 = 2*w, 3*u - 4*w = -68. Let j be (-2)\/u*(0 + -2). What is the biggest value in 0.5, -2\/3, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-15) - 22\/10. Let s be (-9)\/(-12)*3*4\/(-36). Suppose 1 = -2*w + 3. Which is the closest to w? (a) -1\/3 (b) s (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/9)*b*b**(1\/2)*b*b*b)**(-25\/4)*(b\/(b*b**(2\/5)))**15\/(b*(b*b**(-2\/3))\/b*b)**(-2\/83) assuming b is positive.\nAnswer: b**(-249389\/5976)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/80 of a millennium?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -298.6 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 - 5*v. Let r(m) = 21*m - 2158. Determine r(u(l)).\nAnswer: 42*l**2 - 105*l - 2158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10100100111101011 (base 2) to base 13\nAnswer: -2c59b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n**3\/3 + 2*n**2\/3 - n = 0. Calculate n.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(-6*i + 6*i + i**2)*(11 - 11 - 7*i**2).\nAnswer: 7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22002222012 + -10?\nAnswer: 22002222002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 11:31 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20\/312)\/(-5) - (-4)\/(-26). What is the smallest value in -0.4, 3\/7, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -898 - -1051. What is the remainder when 525 is divided by s?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s**2. Let q(h) = 8*h - 8. Give q(k(p)).\nAnswer: -32*p**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -19955 (base 10) in base 12?\nAnswer: -b66b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 4*a + 7. Determine v(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10168)\/(-84196) + (-2)\/56. Is 0 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -583*h**2 + 233*h**2 - 5*h**3 - 2 - 18*h**2 + 79*h**2 in the form y*h**3 + w*h**2 + c + r*h and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d + 25. Let n be v(-6). Let y be ((-4)\/2)\/(2\/5). Let l be n\/y - 0 - 0. What is the smallest value in -5\/3, l, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -2 (b) 2\/21 (c) -88\/31 (d) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4*w + 5. Let a = 138 - 109. Suppose 76 = -48*y + a*y. Let r(q) = 4*q + 4. Give y*r(g) + 3*s(g).\nAnswer: -4*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - u - 3*u = 47, -3*l - 114 = 3*u. Let t = l - -65. Suppose -7*j + 2*j = -t. Solve -i = 5*v + 4 - j, 5*i - 5*v = -20 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 33 - 555. Calculate the highest common divisor of m and 1218.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w + 3*w + 2*w)*(-4*w - 3*w + 16*w) - w**2 - 3*w + 3*w to r*w + g + y*w**2 and give y.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -2\/7, -1639, 48, 0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0527 - -2.0527. What is the third biggest value in -0.37, -2, w, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258*m - 261*m = -3*q - 10083, 4*m - 13428 = -4*q. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-63)\/(-35) + (-1)\/(-5). Suppose -2*f - 17*f + 171 = 0. Solve 8*g - f*g - m = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 4)*(-a + 0*a + 2*a) - 3*a + 6*a - 4*a - 4*a + 3*a + 0*a)*(6 - 7 + 40)*(2*a - a + 2*a)*(3 - 3 - 3).\nAnswer: 1053*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9324 and 2331?\nAnswer: 9324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 1356*y - 5 = 1353*y, -4*y = -c - 10. Suppose 5*m = -10, -5*l + 2*m + 8 = -2*m. Solve -a + c + 3 = l for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17600 and 3723520?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 739 - 736. Sort t, -2\/3, 7, -4 in descending order.\nAnswer: 7, t, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 4. Suppose 0 = -4*d + 4, 0 = 27*i - 30*i - 3*d + 45. Suppose -i*y + 90 = 4*y. Solve 0 = 3*v - 2*t - 7, 23 = y*v - w*v - 5*t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/10)\/5*32\/4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + 0*b**2 - 3*b**2)*(672 - 672 - b**3) + 5*b**2 - 5*b**2 + 2*b**5.\nAnswer: 4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (656\/(-1230))\/((-6)\/(-5) - 0).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*l**4 + 776*l**3 + 8537*l**2 - 22826*l - 30603.\nAnswer: (l - 3)*(l + 1)*(4*l + 101)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -251*y - 18. Let u(g) = 5*g. Let k(d) = n(d) + 3*u(d). What is the first derivative of k(j) wrt j?\nAnswer: -236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 28, 66, 142, 274, 480, 778, 1186, 1722?\n\"Answer: 3*y**3 + y**2 + 14*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*k = -211*k - 34. Let x be (2 - -10) + k + -6. Solve -2*n - h = 3*h - x, -5*h + 10 = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*q + 6 = 26, 2*q + 26 = 4*g. Suppose -g*t + 63 = -129. Suppose -6*v = 2*v - t. Calculate the smallest common multiple of 36 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 55\/(-110)*0\/(-1). Solve j = -2*o - 0*o - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.4 - 4. Let j = -9 + g. Round j to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -7*t**3 - 2*t - 1. Let h be d(-1). Suppose 45*l = 64 + 206. Suppose h*s - 17800 = l*s. Round s to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/7 - 66*l**2\/7 - 68*l\/7.\nAnswer: 2*l*(l - 34)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 4*c = -5910124. Let i = 1570562 - c. Let l = -2804500 - i. What is l rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - 16 - 48\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 196.9 - 190.7. Which is smaller: 83 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s + 7. Let b be w(3). Suppose -b*h - 204 = -4*m - h, -m - 5*h = -28. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6786 - -1979. What is the remainder when p is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(312) - (sqrt(312)*1 + sqrt(312)))\/sqrt(12))\/(sqrt(24)\/(sqrt(12)*2 - sqrt(12))).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b - 4377. Let j(w) = -8*w**2. Determine m(j(k)).\nAnswer: -8*k**2 - 4377","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -1 (c) -29 (d) -5 (e) 2493 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from 22491762942330.\nAnswer: 22491762942330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187745, 375519, 563281, 751025, 938745, 1126435, 1314089?\nAnswer: 1501701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -332*a*h**2 - 42736*a - 209*h**2 - 1 wrt h?\nAnswer: -664*a*h - 418*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2812\/21 - -134. Let u = -0.8 + -0.2. Let i = 0.9 + u. Are b and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 + -478. Let o = -508 - u. Which is the smallest value? (a) 0.2 (b) -0.2 (c) 2\/3 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 124*x - 7 + 5 + 256*x - 3*x - 127*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 11132?\nAnswer: -11123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23339.1 + 23339. Let x = 0.1 + -0.12. What is the closest to r in 2\/19, -2\/19, x?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 2*s**2 - s + 1. Let f be n(1). Let g be (6\/21)\/(f\/(-7)). Let r = -0.2 + 6.2. Which is smaller: g or r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -7*a**2 - 3*a. Let n(o) = -6*o**2 - 2*o + 1. Let j(f) = -6*n(f) + 5*r(f). Let v be j(6). Suppose -v*d + 9 = -15. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -31, -37, -63, -121, -223, -381?\n\"Answer: -2*l**3 + 2*l**2 + 2*l - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 3, 4, 0 in ascending order.\nAnswer: -42, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 2*b = 35, -2*d + d + 31806*b + 100 = 31825*b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v**2 + 0*v**2 - 2*v**3 + 2*v**2 - 9*v**2.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/8)*k\/(k\/k**(24\/7)*k*k))**(-1\/36) assuming k is positive.\nAnswer: k**(-5\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1140713)\/(-2)*(-30)\/(-70) + 35\/14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3736 (base 8) in base 12?\nAnswer: -11ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + z + 1225 = -4*z, 5*j = -5*z + 1475. Suppose 5*s - j = 10*s. Let w = 149 + s. List the prime factors of w.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6522715 years to millennia.\nAnswer: 0.0006522715","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 2 (c) -4\/5 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 756?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1142 in -15\/7, -17, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 773808.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1169 times -4?\nAnswer: -4676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (352716\/2223*6\/7)\/(4\/1).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 2, 50 in descending order.\nAnswer: 50, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34595 = 84*s + s. Which is greater: -409 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/8, -0.09, 56\/3, -563?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from llaala?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -150*d**4 + 973*d**3 - 2027*d**2 + 2016*d - 700. Let p(g) = 30*g**4 - 194*g**3 + 406*g**2 - 403*g + 140. Let x(s) = 16*p(s) + 3*q(s). Factor x(r).\nAnswer: 5*(r - 2)**2*(r - 1)*(6*r - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10138 - -780611\/77. Let o = u - -2\/7. Which is the nearest to o? (a) 4\/5 (b) -3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 93, 340, 757, 1344, 2101, 3028, 4125?\n\"Answer: 85*s**2 - 8*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33286 is divided by 33059.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -8*k. Solve h - 4*h - 12 = k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 3:01 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*t = -18, -4*m + 13 = 9*t - 10*t. Solve 2*x - 5 = -3*f, 3*f + 4*x = m*x + 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*x = 69*x + 90 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 215*o**2 - 1055*o - 1048. What is j(-210)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(2\/5))**11)**(-1\/4)\/(d\/(d**3*d)*d\/d**7)**21 assuming d is positive.\nAnswer: d**(3747\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**3\/17 - 199484*o**2\/17 - 4975230552*o\/17 - 49732359120\/17 = 0. Calculate o.\nAnswer: -49866, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 10*c - 8. Let x = 4 + -14. What is the units digit of j(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 16252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -5. Let b(f) = 2*f**2 + f**t - 4*f**2 + 2*f + 2*f**2 - 5. What are the prime factors of b(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-280)\/(-16))\/((-77)\/(-44))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133570*r - 8 - 133584*r + 8.\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**5\/60 - 19*r**3\/6 - 2*r**2. List the prime factors of g(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99072 and 16704?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-115)\/12*884\/(-130). Let m = t + -65. Factor 1\/3 - 1\/6*y**2 + m*y.\nAnswer: -(y - 2)*(y + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + (-2 + 0 - (-40 + 50)) + 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/92279 and -51\/16778.\nAnswer: 184558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 6 + 8 = 0, 0 = -4*x - 3*p - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(245) - (sqrt(245) + 2))*3 + sqrt(245) + 4 - -3*(sqrt(245) - (2 + 1*sqrt(245)))) + 0)**2.\nAnswer: -112*sqrt(5) + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2815 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w + 18*w - 21096 = -10*w. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-44) - 182865\/9185.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - ((-11 - -15 - -32) + -7).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/15)\/((-15)\/(-180)) + 20 + 0\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13964, 55863, 125694, 223457, 349152, 502779, 684338?\n\"Answer: 13966*b**2 + b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 7*i + 1. Let q be b(6). Suppose -4*s - 12 = -q*s. Calculate the remainder when 60\/(-10)*(-4)\/(-30) - (-256)\/20 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 13*m - 6 + 5 - 4*m. Determine s(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.36 + -0.04. Let i be (-2 + 4 - 4)*-1. Which is the closest to -1\/2? (a) 4\/5 (b) t (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 66503, 133008, 199513, 266018, 332523?\n\"Answer: 66505*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*d + 36 = 83*d. Let x(r) = 18*r - d*r + r**2 - 17*r**2. Let q(a) = 10*a**2 + 0*a**2 - 7*a**2. Calculate x(q(p)).\nAnswer: -144*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a16 - -21?\nAnswer: -29b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -494076, -988148, -1482220, -1976292, -2470364, -2964436?\n\"Answer: -494072*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 - 6191852*u + 247680480.\nAnswer: -4*(u - 40)*(u + 1548003)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -6*r**3 + 17*r**2 - 17*r + 17. Let j = 5 + 1. Let a be (2 + 0)\/(14\/133) + -2. Let w(n) = 2*n**3 - 6*n**2 + 6*n - 6. Calculate a*w(z) + j*f(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -752*a**6 + a**4\/2 - a**2 - 1408*a - 5102. What is the second derivative of o(p) wrt p?\nAnswer: -90240*p**3 + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 54, 132, 302, 594, 1038?\nAnswer: 1664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 33\/5 of a day?\nAnswer: 9504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1710\/(-152))\/((-65)\/(-312))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a microgram in nanograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 + 2*c**2 - 5 - 4*c + 10*c**2 - 10*c**2. Let r(m) = -11*m**2 + 11*m + 15. Let p(n) = 3*r(n) + 8*w(n). Determine p(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmr when three letters picked without replacement from {r: 3, v: 5, s: 1, m: 7}?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10\/461 - 57685\/2766. Let h be 318\/(-9) - 2\/(-6). Let c = h - -71. Find the common denominator of c and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 72 = -2*z - 64, -3*b = 2*z - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-218 + 39*c + 287 + 143 + 482)*(0*c**3 - 2*c**3 + c**3) as k*c**4 + i*c + v + n*c**2 + h*c**3 and give k.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -77443920 divided by -15488784\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15 - 3 + 2)*(-3 + 2 + 3)*(-s**2 - 2*s**2 + s**2) as y*s + i + f*s**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 + -334031023?\nAnswer: -334031001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1425 + 10016\/7. Let u(x) = 9*x**2 + x + 2. Suppose -y + 0 = 2. Calculate the common denominator of u(y) and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - a = 2*a + 27, -5*d - a = -10. Suppose d = z + 4*f - 13, f = 5*z - 17. Solve -2 - 10 = -z*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 31 - -2a8?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54469?\nAnswer: 54469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -11, -1 in descending order.\nAnswer: 5, 2, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 3*p - 3*j, 0 = 4*p + 3*j + 36. Let g be p\/(-10) - 476\/(-140). Solve 3*w - b - g = 0, 0*w + 3*b = 5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 5*z - 40, 6*z - 3*z = 4*n - 27. Let j(l) = 63*l + 2. Let g be j(n). Suppose -41 = 5*m - g. Calculate the remainder when m is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 7:26 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*j. Suppose j = 3*z - z. Suppose z = -2*c + 4, 0 = 3*u - 5*c + 10. Solve u = 5*g + l - 21 - 2, -2*g + l + 12 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/(-12)*1524\/(-15367)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-10 - -20 - 3) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1894 is divided by 45.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.353342296 to four decimal places.\nAnswer: 0.3533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 11*r + 3. Let v be x(-6). Let o = -60 + 56. Calculate the least common multiple of 3\/(-12) - v\/o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -42 (b) -0.3 (c) 97 (d) 3\/8 (e) 0.2 (f) -14.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45.4*-94815.\nAnswer: 4304601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b - -c89?\nAnswer: c6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3560*r + 2119 with respect to r.\nAnswer: -3560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g + 3*g + 0*g)*(-13*g - 25*g - 79*g)*(-1 + 1 - 4*g**2).\nAnswer: -1404*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 250739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 136 + 2 + (-4287 - -4200)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/10 - 60\/(-25). Suppose 2*s = -3*x - 4, s - p*s + 5*x = -11. What is the lowest common multiple of 14 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-12*(-6)\/(-198))*(-4)\/22.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158913576 divided by -2207133.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 5:06 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1923832991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1940, 2232, 2558, 2912, 3288?\nAnswer: 3680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5056 and 22?\nAnswer: 55616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-966)\/(-111)) + (-1 - (-40)\/35).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, 0, 8, 1316, -1 in decreasing order.\nAnswer: 1316, 8, 0, -0.08, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l. Suppose -2*z = 5*j - 4, 0*j - 2*j + 1 = z. Let p be ((-12)\/(-10))\/(j\/25). Let g(y) = p*y - 2*y - 2*y. Calculate g(d(k)).\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -9*j**3 + 17*j**2 - 10*j + 27. Let p(x) = 4*x**3 - 8*x**2 + 5*x - 13. Let z(w) = -3*f(w) - 7*p(w). Calculate the remainder when z(4) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v**2 + 5*v - 16. Let l(t) = -3*t**2 - 2*t + 15. Let z(c) = -4*a(c) - 5*l(c). Let g be z(-7). Sort g, 3, -3 in ascending order.\nAnswer: -3, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 3 - (6 - 10 - -10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1944 - 1a58?\nAnswer: -38a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w**2 + 10*w - 3. Let j(h) = 7*h**2 + 11*h - 4. Let l(y) = -5*j(y) + 6*z(y). Calculate the smallest common multiple of l(-5) and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*f + 7*f - 3*f + 19*f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 62061 in -0.3, -1.71, -0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146, 147, 156, 179, 222, 291?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -471*l**2. Let w(t) = -6353*t**2. Give w(v(g)).\nAnswer: -1409355873*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 8*o**2 - 20*o - 4. Let b(q) = -3*q**2 + 77*q + 20. Let h be b(26). Let g(j) = j**2 - 2*j - 2. Let i(d) = h*g(d) + v(d). Suppose i(k) = 0. What is k?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1\/5)*s*((s\/s**(-3\/5))\/s)\/s*s\/s**(-1)*s\/s**6)\/(s\/(s\/(s*s*s**(-1)*s))*(s**(-2\/23)*s)\/s*s**(-2)*s*s\/s**(-9\/4)) assuming s is positive.\nAnswer: s**(-2651\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 - 40 + q + 0*q)*(87 - 33 + 72)*(4*q - q - 2*q).\nAnswer: 126*q**2 + 630*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 2*v + 16. Let l(m) = -m**3 + 5*m**2 - 5*m + 2. Let d be l(v). Let q = 2 - d. Solve -2 = -2*k + q*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 361 = 4*i, -2*o + 63 = 3*i - 63. Suppose 0 = -4*y + 17*m - 14*m + 89, -o = -3*y + 3*m. Which is smaller: -2\/5 or y?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7\/6, 5, -0.3, -0.11, 44 in decreasing order.\nAnswer: 44, 5, 7\/6, -0.11, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2342 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 59061?\nAnswer: 29530.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1902)\/(-8)*(-11)\/(-3). Let a = -881 + w. What is the common denominator of a and -1\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -29 - 3*y**2 + 14*y + 2*y - 4*y. Let q be z(6). Which is smaller: q or -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93951184 divided by -116\nAnswer: 809924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1722?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 + 0*u**3 + u**3)*(-1 - 1 + 10).\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/sqrt(10) + -5 + (sqrt(99))**2 + 4.\nAnswer: sqrt(11) + 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**5\/120 + 25*b**4\/48 + 119*b**2. Factor f(j).\nAnswer: -j*(j - 25)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 44*p - 179. Let l be n(-39). Let q(u) = -u**2 + 19*u + 87. Is 5 a factor of q(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 - 13021220?\nAnswer: -13021122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 1 - -7) + -4 + -2. Suppose 4*h + 4*f - 100 = 0, -f + 4*f + 5 = h. Suppose -5*s + s + h = n. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.044278 or 0?\nAnswer: -0.044278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/50 and 79\/40.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**8\/28 - 43*p**6\/5 - 3415*p**4\/12 - 4*p + 962. What is the third derivative of s(a) wrt a?\nAnswer: 240*a**3 - 6192*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -7*i + 2. Suppose 0 = -9*j + 4*j. Suppose 3*s + 15 = -j*s. What is the remainder when q(s) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -67459.4.\nAnswer: -67464.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2499623?\nAnswer: 7, 31, 11519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 32 = 2*v - 2*j, 48 = 3*v + 2*j. Let q = v - -9. Suppose -5*s + s + 24 = 0. Solve -q = w - s*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 67 - 18101?\nAnswer: -18067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 + 103. Suppose 0 = -5*f - 4*l + n, 4*l = 3*f + 2*l - 58. Suppose -f + 44 = 4*u. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -9*b + 15. List the prime factors of v(-5).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06790233 to three dps.\nAnswer: -0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, b: 1, j: 6, y: 1}. What is prob of sequence yyj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -9*p**2. Let t(n) be the first derivative of 2*n**3 + 121. Determine t(z(v)).\nAnswer: 486*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 829191659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 31822307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14445 and 18.\nAnswer: 28890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -21.2. What is d rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8 + (8 - 9) - (-29)\/3. Is a at most as big as 65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 + 12*d**3 - 6*d**3.\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 923560 divided by 230890?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, 0.5, 24.\nAnswer: -6, -3, 0.5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*t**2 - 163*t + 44*t**2 - 32*t**2 in the form a*t + m + p*t**2 and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -14380, 0.03, -1, -5, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*q = 9. What is the units digit of (-3)\/(27\/24)*q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 360494444 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*g - 12*g**2 + 113*g - 140*g.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3115815 and 130.\nAnswer: 81011190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**2 - 70*b - 21. What is the units digit of j(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -327 by 42.\nAnswer: -109\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 e when two letters picked without replacement from eeeeeeeejeejeeeeee.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - 4) + (-6 - (5 + -18)) - 7?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 267759829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a tonne in kilograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 49.55769ng?\nAnswer: 0.00004955769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -5*s - 30, 2*z + 0*s - 14 = 2*s for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14166425.\nAnswer: 5, 7, 13, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -1 + -6 + -22 + -82 + (7 - 10)\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/1218 or 1?\nAnswer: 11\/1218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 9:52 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1133 and 11124.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -976*p + 979*p + n + 2, 3*n + 8 = -4*p - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12448 - 44079 = -1117*l - 15198 for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546234712.\nAnswer: 2, 6761, 10099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 2*v + 10. Sort 7, -5, v in descending order.\nAnswer: 7, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5 + sqrt(425)*3 + 2 + 5)**2.\nAnswer: 3825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5778, 23160, 52122, 92664?\n\"Answer: 5790*y**2 + 12*y - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-1 - (0 + (4 - -2)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 830331 divided by 1377\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 4*k**2 - 2*k - 5. Let d be t(-4). Let n(q) = 7 - d - 5*q - 7. Let h(s) = 2*s + s - 2*s. Give 3*h(f) + n(f).\nAnswer: -2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/((g\/((g**(-2\/15)\/g)\/g))\/g))*g\/g**9*(g*g**1)\/(g\/(g*g**3*g)))**(-6\/17))**(15\/7) assuming g is positive.\nAnswer: g**(-12\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-3\/4)\/g))\/((g*(g*g**(1\/16)*g)\/g)\/g)*(g*g**(-2\/11)\/g)**(-49\/5) assuming g is positive.\nAnswer: g**(3053\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 98969, -3 in descending order.\nAnswer: 98969, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1163132.325 and 0.1?\nAnswer: 1163132.425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 46*t**2 - t + 119. List the prime factors of w(-46).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/(((-3312)\/36)\/46).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 2. Let d = f + 2. What is the remainder when 23 is divided by 0 + d - (3 + -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*z + 18874, -22*h + 4719 = -21*h - z. List the prime factors of h.\nAnswer: 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 7:54 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1131.62 and 5.1.\nAnswer: 1136.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = v - 2*t, 3*v - 3*t + 42 = -21 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/75 (b) -2\/9 (c) -120 (d) 0.2 (e) 0.3 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -110*v**4 + 4*v**3 + 2*v**2 - 1662*v?\nAnswer: -1320*v**2 + 24*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h**3 - 2*h**2 + 1. Let g(p) = 255*p**3 + 130*p**2 - 20*p - 65. Give 2*g(f) + 130*w(f).\nAnswer: -10*f**3 - 40*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*n. Suppose 4*y + 3 = 5*k + 3*y, n = k + 3*y + 9. Solve -5*m = t + 20, k*t - 3*m = -4*t - 11 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 4) in base 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**6\/120 + a**5\/10 + 5*a**4\/24 - 25*a**3\/6 + 81*a**2. Let q be x(6). Sort -0.3, q, -2\/9.\nAnswer: -0.3, -2\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -9. Suppose u + b*w = 22996, u + 2*w - 22517 = 481. What is u rounded to the nearest 1000?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -7*w + 22. Let p(m) = 9109*m. Determine p(l(i)).\nAnswer: -63763*i + 200398","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2231 in 4, -2\/9, 74\/13, 2\/13, -4?\nAnswer: 74\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9646, 19312, 28976, 38638?\nAnswer: 48298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*q**4 - 2*q**3 + 16*q**2 - 272*q + 1316281 wrt q?\nAnswer: 20*q**3 - 6*q**2 + 32*q - 272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = k - 6, 21*k + 5*x = 19*k - 21 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q**2. Let p(j) = -4*j + 17*j**2 + 4*j - 19*j**2. Let h(b) = -14*p(b) + 2*r(b). Let w(n) = 3*n**2. What is w(h(f))?\nAnswer: 1452*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0646 - -12.9354. Sort -2\/3, 3\/2, d in descending order.\nAnswer: d, 3\/2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 w when three letters picked without replacement from nywaaryii.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -377 = 7*o - 398. Which is the closest to 0.1? (a) 0.01 (b) -1\/3 (c) o (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 548829520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-372)\/180*5 - -11. Sort j, 1, -7, -0.5.\nAnswer: -7, -0.5, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -133 + -155?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**4 - 1932*k**3 - 17652*k**2 - 29492*k - 13776.\nAnswer: 4*(k - 492)*(k + 1)**2*(k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -937182 + 3?\nAnswer: -937179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -2, 17, 56, 121?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -1291*g + 269. Let b be d(9). Round b to the nearest one hundred.\nAnswer: -11400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -380051 take away -97?\nAnswer: -379954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -58223 at least as big as -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10444*z**2 - 10437*z**2 + 2*z**5 - 18*z**6 - 7*z**6 wrt z?\nAnswer: -3000*z**3 + 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = x - 5*a - 4, -5*x = a - 102. What is the smallest common multiple of x and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -664 (base 10) in base 12?\nAnswer: -474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2004, 4021, 6040, 8061, 10084, 12109, 14136?\n\"Answer: k**2 + 2014*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5*27\/225)\/(36\/(-10) - -1)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 (base 6) in base 2?\nAnswer: 111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 4*l**2 + 6*l + 3. Let s be b(3). What are the prime factors of (116\/(-20))\/((s\/25)\/(-6))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (0 - (1 - -1)). Let u = f - -2. Suppose 0*r = u*r - 50. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-27) - (-10868)\/99. Suppose -6*g + v + 370 = 0. Suppose -2*d - g = -5*f - 7*d, -2*f - d + 31 = 0. What is the remainder when f is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w**2 + w + 1. Let q = -1 - 1. What is the units digit of l(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -318448842 divided by -579.\nAnswer: 549998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 4*y + y)*(0*y - 11*y**2 - 2*y + 3*y).\nAnswer: -44*y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxxnnx. Give prob of sequence xnn.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/1272 and -11\/4650?\nAnswer: 985800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0200397857 to 3 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + r. Let v(k) = 3*k**2 - 12*k - 1 - k**2 - 6 - 2 - k**3. Let a(b) = -v(b) - 6*y(b). Is 19 a factor of a(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -317306*h**2 - 6730901 wrt h?\nAnswer: -634612*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -629 - -977. Solve 5*p = q - 373 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40851 - -367664\/9. Let j(u) be the third derivative of 5\/72*u**4 - 47*u**2 - 1\/72*u**6 - 1\/18*u**5 + 0 + 0*u + v*u**3. Let j(y) = 0. What is y?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -40420 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -156 and 7700.5.\nAnswer: 7544.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18554, 74251, 167088, 297077, 464230, 668559, 910076?\n\"Answer: 2*c**3 + 18558*c**2 + 9*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1329 + 1329 + 4*k**3 - 3*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -219?\nAnswer: 2\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**6\/144 + h**5\/30 + h**4\/4 - h**2. Let f(b) be the second derivative of r(b). Let j = -4 - -1. Determine f(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.2743 (c) -321\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 7*w**2 - 7*w + 9. Let h be p(6). Let k = -5 - -13. Solve -l = -h*l + k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 17*p - 7 + (2 - 5 + 2)*(-4*p + 5*p - 2*p))*(2 + 0 + 0).\nAnswer: 36*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 25 = 0, 184 = 5*g - 5*j + 4. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 233458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*l - f, -16*f - 4 = 2*l - 12*f. Suppose l*b - 2 = 5*b, 2*b - 10 = -p. Let k(h) = -h**2 + 2*h + 12. Give k(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -3*b + 4, -b - 2*j + 75 = 8*j - 6*j + 52 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 9*w**2 - 6*w - 2. Let o be r(-8). Let x = o - -28. What is the least common multiple of 4\/(-18) + (-330)\/(-27) and x?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/795 (b) 0.4 (c) 2\/231 (d) 2 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v - 49. Let k be c(2). What is the units digit of (0 + k)\/(3*5\/(-240))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2)*i)\/i)**(-3\/37)\/(i**(-2\/9)*i**(7\/5)) assuming i is positive.\nAnswer: i**(-1691\/1665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61087.\nAnswer: 13, 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4392 + 3.5608. Which is the nearest to -11? (a) 5 (b) 2\/9 (c) v (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17750?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 220103?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + -6 - 7\/(-5). Is g > -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 608923935?\nAnswer: 3, 5, 17, 795979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ghhpgggqphphahmmagg. Give prob of sequence amqg.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (21 - 57) - (-2 - (4 - -2))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*p)*(0*p + 0*p + 2*p**2) + (p**3 + 3*p**3 - 6*p**3)*(-137 + 241 - 186).\nAnswer: 168*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((2 - 1) + 0). Let a(u) be the third derivative of 0*u - 1\/50*u**5 - 1\/15*u**3 - u**2 + 1\/300*u**6 + j + 1\/20*u**4. Determine n so that a(n) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.53 + 9.36. Let i = -0.17 - p. Let k = -0.53 - -0.13. Sort k, 4, i in increasing order.\nAnswer: i, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15426 divided by 2?\nAnswer: 7713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/1339386 and -49\/558.\nAnswer: 4018158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n - 1. Suppose -5*q = -2*q + 12. Let x be t(q). Let r = x - 5. What is the smallest value in r, 5\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*s**3 - 5*s**3 + 6 + s + 0*s + 3*s**3 wrt s?\nAnswer: 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3422557 to the power of 1\/2, to the nearest integer?\nAnswer: 1850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -15. Suppose -4*u = -2*v, -v = 2*v - u - r. Let g be (-4 - -5) + v + 0. Solve -g*h = 7 + 18 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**2 - i + 2. Suppose 3*m + p - 11 = -1, 2*m + 5*p = 24. Let d be -3 + -2 + -3 + m. Let o be (d\/4)\/(-3)*4. What is h(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 963147 is divided by 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85708*y - 146214*y - 159197*y.\nAnswer: -219703*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 46870 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwewwwwwewww. Give prob of picking 2 w.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15756079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 68*i - 402 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9996 and 63.\nAnswer: 29988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**4 - 927*j**3 - 106440*j**2 - 5381100*j - 101088000 = 0. Calculate j.\nAnswer: -90, -65, -64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**6\/6 + m**5\/4 + 7*m. What is r in n(r) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5269221ml in litres?\nAnswer: 0.0005269221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -3*v - 3, 4*v + 2*f - 311 = -317 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/36*(-63)\/(-14)*(-1)\/7.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r - 38. Let l be m(-13). Sort -4, 13, l in decreasing order.\nAnswer: 13, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82 - -82. Let t be ((-8)\/30)\/((-12)\/(-10)). What is the nearest to h in -2\/23, 1\/5, t?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, z: 3, p: 1, j: 1, i: 2, e: 3}. Give prob of picking 1 j, 1 p, and 1 e.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(156)*-2)\/(-1*sqrt(432)) + 1.\nAnswer: 1 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 equal to 94?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (49\/(-56))\/(1\/20*1)*284\/(-355)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (390\/(-35) - -6)\/((-834)\/5838)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-692)\/865)\/((-3)\/(135\/492))\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-27))\/((-728)\/(-273)*(-1)\/2).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-13338)\/(-17784))\/(((-9)\/(-80))\/3)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 81 = 15. What are the prime factors of (32\/o)\/((-1)\/267)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 + 97. What are the prime factors of x?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000058109014 to 7 dps.\nAnswer: -0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 178 times -81.7\nAnswer: -14542.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.29*3.2589.\nAnswer: 0.945081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 175 (b) -15 (c) -443\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2*sqrt(55) - sqrt(55)))\/((-1*sqrt(5) + sqrt(5) + sqrt(5) + sqrt(5))*1 - sqrt(5)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-2))\/(3\/2). Let t be 4 + g\/2 + 0. Suppose 4*x + t*u - 54 = 3*u, x + 4*u = -4. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61*z**5 - 9*z**4 + 6*z - 109 wrt z.\nAnswer: 1220*z**3 - 108*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 9 = -4*o. Suppose -219 = -3*m - o*b, m - 3*b + 79 = 2*m. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96550 a multiple of 356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1920 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: Determine j, given that -3*j**5\/8 + 9*j**3\/8 + 3*j**2\/4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15096 - 2*c**2 + 451*c + 0*c**2 + 15094 + 0*c**2 to y*c**2 + h + p*c and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*l + 45 = -69, 5*l = 25. Let n = -16 + y. What is the greatest common divisor of n and 555?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9553.35584137 - -0.09?\nAnswer: 9553.44584137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 880 is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.616 + -0.384. Which is smaller: v or -1.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o = o - 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 11:30 AM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((2 + -5*(sqrt(1377) + 1 + sqrt(1377) + sqrt(1377)))**2 - (-5 + 5*(sqrt(1377) + -3 + sqrt(1377)))).\nAnswer: 3600*sqrt(17) + 1549270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10*(-2 - (-33)\/15)*1. Suppose -m - w = 1, 4*w + 24 + 12 = 4*m. Let r = m - 1. Put 1, r, l in increasing order.\nAnswer: 1, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -620152\/7 bigger than -88592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -178 + 179. What is the second smallest value in -7\/4, -2\/5, t, 2\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 8*o**2 + o - 2. Let y be a(8). Suppose y*d - d = 175. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 44, 16, -34, -112?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/2091969 and 92\/950895.\nAnswer: 10459845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**4 + 0*w + 0*w)*(2 - 2 - w) - 23975*w**5 + 8416*w**5 - 25585*w**5.\nAnswer: -41146*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 5*k**2 - 2*k + 6. Give a(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 10) in base 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/14 + 1782\/14. Let f = x - 71. Let g be (-3)\/12 + (-29)\/(-4). Calculate the highest common divisor of f and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-210)\/980)\/(2*2\/(-28))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + v**2 - v + 4. Suppose 4 = -n - z, 3 = 4*n - 4*z - 13. Let i be u(n). Solve 0 = i*j + 16, -4*x + 2*x - 24 = 5*j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -66 - (-501 - -485).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 + 4 + 49 + 2*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/8*(-3)\/(-9))\/((-320)\/128)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2170 and 2240455.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 283 + 47. Suppose -8*q - 6 = m. Let r = 19 - q. Calculate the lowest common multiple of 22 and r.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -136053 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -11*u + 5. Let c(w) = 5*w - 2. Let f(s) = 9*c(s) + 4*k(s). Let r be f(-1). Let p be 2 + (-2 + r)*(0 - -1). Sort 0, p, 0.3, -1\/5 in descending order.\nAnswer: p, 0.3, 0, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273 = 6*g - 9*g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3605 - 2315*s**2 + 3605 + 0*s + 0*s. Let m(j) = -3*j**2. Give p(m(c)).\nAnswer: -20835*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 437209517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9554, 19098, 28640, 38180, 47718, 57254?\nAnswer: 66788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -120407*g**2 + 9*g + 6. Let r be ((-8)\/(-24))\/((-2)\/42). Let f be x(r). What is f rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.45 - -0.15. Let q = -867 + 863. Which is the closest to q? (a) r (b) 2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 83, 173, 353, 653, 1103, 1733, 2573?\nAnswer: 3653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 15*n**3 - 9*n**2 - 4*n - 8. Let t be v(5). Suppose -6*y - 320 + t = 0. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/12*4)\/(72\/(-18)))\/((-14)\/(-60)).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 938 divided by -2?\nAnswer: -469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(49)*1)\/sqrt(7).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4529*m - 12799026 + 12799026)*(-m**2 + m + 1 - m) to the form p + f*m**2 + s*m**3 + q*m and give q.\nAnswer: -4529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -505011 - -505746.7762. Let y = w - 736. What is y rounded to 2 dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*k = -6*k - 3476, -d = 2*k - 1142. Calculate the greatest common divisor of d and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 (base 4) in base 5?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2f - 3a0?\nAnswer: -3cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*d - 3*d + 4*d**2 - 5*d**2 wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020807673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 46 in -80, 5, -1\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26796 = 48*t + 615*t - 211*t + 360*t for t.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 109, 239, 421, 655?\nAnswer: 941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t**4)*t**(5\/8)*(((t\/t**(3\/13))\/t)\/t)\/(t*t*(t**(6\/7)\/t)\/t) assuming t is positive.\nAnswer: t**(-3977\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 714 divide 303450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84386263977207 + d**2 + 84386263977207.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 3 - 2)*(-q + 5*q - 5*q) - 3*q + 4*q + 3*q)*(5*q - 3*q + 3*q).\nAnswer: 25*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.4943 to 0 dps.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(630\/(-24)))\/((-2)\/5).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2008 a factor of 83422445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 7:32 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240783 is divided by 11464.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from {l: 1, g: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*(a*a**1)\/a)\/a)**32*(a\/(a**(1\/2)*a))**(12\/7) assuming a is positive.\nAnswer: a**(442\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 347 divide 828211272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1066641*u = -1066648*u - 210 for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b + 1 + 4 + b**2 - 4*b. Let a be ((-1)\/2)\/((-4)\/(-80)). Let h = -6 - a. What is s(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a. Let o(p) = -10*p + 1. Suppose -2*t - 303 = -5*t. Let c = -99 + t. Determine c*o(y) + 11*k(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5168867, 5168881, 5168895, 5168909?\nAnswer: 5168923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 17. Let k(y) = 31*y - 2 - 32*y - 3 - 1. Let j be k(b). Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18040 + 18880. Calculate the greatest common factor of 1470 and g.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/11, -229, 0, -1, 2\/7 in decreasing order.\nAnswer: 2, 2\/7, 0, -2\/11, -1, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 5*k - 22*k + 364 = f, k - 47 = 5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 219823.1 take away 769?\nAnswer: 219054.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3303 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 14. Let l be (1\/(-9))\/((-3)\/3). Which is smaller: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**3\/3 - l**2 + 2*l - 3. Let j(v) = -3*v + 3. Let g(h) = 2*j(h) - 3*u(h). Let b(m) = -2*m. Calculate g(b(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 4. Let v be g(7). Let a = -29.1 + 66.6. Let j = a - 37.4. What is the fourth smallest value in v, j, 3\/2, -1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346*y**2 + 188*y**2 - 850*y**2 + 300*y**2.\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.3 - 0.3. What is the second biggest value in a, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -3*b - 213, 0 = 3*v - 2*b - 54 - 163. Suppose -2*x - x = 3*h - 18, -4*h = -x + 6. Suppose -o - v = -x*o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**3 - 5*w**3 - w**2 + 2*w**2 + 2*w. Let n(f) = 2*f - 16. Let d be n(9). Let q be j(d). Let s(l) = -l**3 - 9*l**2 - 9*l - 8. What is s(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*s + 3\/8*s**2 - 63\/8.\nAnswer: 3*(s - 7)*(s + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 + 8 + -25 + 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**2 + 125*k - 500 = 0 for k.\nAnswer: 5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.8432 millennia in decades?\nAnswer: 2884.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -359 = 3*d - 353. Sort -10, 4, d in decreasing order.\nAnswer: 4, d, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 - 7*c**3 + c**2 + (4 + 3 - 6)*(0*c - 2*c**3 + 0*c).\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402 is divided by 228?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51aa (base 14) to base 3.\nAnswer: 201021222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1654 + 0.103743763\nAnswer: -1653.896256237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l - 1156 + 256 = 0. Let z(y) = -y - 1. Let p be z(2). Does 10 divide l\/(p + 0) + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 0.0301 (c) 0.5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 261.929 minutes?\nAnswer: 15715740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 8*r - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290230.\nAnswer: 2, 5, 29023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -150*k**3 - 6 - 10*k + 105*k**2 - 1 + 0 + 8 + 0. Let s(x) = x**2 - 2*x. Let v(q) = -g(q) + 5*s(q). Find the third derivative of v(a) wrt a.\nAnswer: 900","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158, -322, -490, -662?\nAnswer: -838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -35. What is the highest common factor of 36 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -105. Let a = h - -84.66. What is a rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/12)\/(1\/772). Let o = -130 + b. Let w = -0.03 + 0.03. What is the closest to w in o, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*h + 2 - 4, 32 = 5*h - 2*a. Suppose -14 = -5*j + 6. Solve 16 = -h*o - j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -137 - -140. Which is the biggest value? (a) 4 (b) s (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/21 (b) -31.62 (c) 1\/3 (d) 5\/7 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*b + 1056 + 1788. Let x = 326 + b. Suppose 2*g - x + 50 = 0. List the prime factors of g.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11660?\nAnswer: 2, 5, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2104 divided by 263\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, z: 1}. Give prob of picking 2 u.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*b = -10440 + 9873 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 6. Let x = 0 + i. What is the remainder when (-307)\/(-5) - x\/5 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.03 (b) 4 (c) 22\/47 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 443*n**3*x*y - 4*n**3*x - 2*n**3*y + 80*n**2*x - n*x*y - 2 wrt y?\nAnswer: 443*n**3*x - 2*n**3 - n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*b - 15 = 85 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 12*n - 15. Suppose -2*g - 3 = -5. Let o be 55\/8 - g\/(-8) - 0. Let w be d(o). Solve 0 = -5*c + 5*t - w, 2*t = t + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1013, -1278, 0.2?\nAnswer: 0.1013","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x**2 - x + 5. Let f(v) = -2*v**2 - 16*v - 6. Let t(s) = -s**2 - 3*s. Let q(k) = -f(k) + 6*t(k). Determine -4*m(z) + 3*q(z).\nAnswer: 8*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 6:19 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, a: 5}. What is prob of picking 1 a and 2 q?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 5:39 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -31\/12 (b) -2 (c) -10.9 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83849, -335410, -754679, -1341656, -2096341, -3018734?\nAnswer: -4108835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9\/3 - (-55 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -81\/154 + 2\/77. Which is the closest to 1? (a) -19 (b) z (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -20. Let h = 11 + -20. Which is greater: g or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -28*t + 109, t = -3354*b + 3358*b + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -407.\nAnswer: 2035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z - y = 17*z + y - 68, -14*z - 12*y - 162 = 0 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-2\/5))*u)**(2\/147)\/((u\/(u*u**1*u))\/u)**46)**(-3) assuming u is positive.\nAnswer: u**(-14492\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l - 18. Let s be g(-7). Let b(t) = 0*t**3 + 112 - 22 - 2*t - t**s. What is the remainder when b(0) is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 0)*24\/(-72).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 26*v + 3. Let t be g(0). What is the first derivative of -4*j + t*j + j - 28*j**4 + 79 wrt j?\nAnswer: -112*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -431*x + 4. Give r(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*l = 6*l - 428 + 22 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -3080371?\nAnswer: -12321484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*s + 2121 = -51*s. Suppose -95*c - 6522 = -s*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/4 - -1)*(-8)\/205?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -416 = -8*v + 4*v. Let n = v + 7. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -x**6\/1440 + x**5\/240 + x**4\/32 - 2*x**3 - 1. Let i(n) be the third derivative of t(n). Factor i(q).\nAnswer: -(q - 3)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 2*y + 7. Let v be w(5). Let k be (v\/70)\/(12\/41). Let j = 7\/6 + k. What is the smallest value in 0, -5, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26274, 54246, 82218, 110190, 138162?\nAnswer: 166134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/8, -646283, 0.1, 2 in ascending order.\nAnswer: -646283, -9\/8, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qafqqaqfa. What is prob of sequence fqaq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -1\/5 (b) -0.3 (c) 6.93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.07 - 0.07. Let h = 0 - -1. Suppose -12 = 343*u - 337*u. Which is the nearest to h? (a) u (b) -0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 10) to base 13\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/5))\/(w**(-2\/7)*w)*(w\/((w\/w**1)\/w))**(2\/19)*(w\/(w**(-1)\/w))**40*w**(-2)\/w*w**4\/w assuming w is positive.\nAnswer: w**(80263\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4b + -11dbd3?\nAnswer: -11db86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-37341)\/(-486) - (-2)\/12 and 43.\nAnswer: 3311","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2851847, -5703695, -8555543, -11407391, -14259239, -17111087?\n\"Answer: -2851848*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-9))\/((8\/128)\/(3\/28)).\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 918.6 and -5?\nAnswer: -4593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10607 + -3?\nAnswer: 10604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1713 = 767*c + 765 - 5503 - 1219 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -7*p + 156. Determine k(24).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3360\/(-504)*1392\/(-640).\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-18))**(12\/13))**(2\/109) assuming j is positive.\nAnswer: j**(-408\/1417)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*(sqrt(7920) - (sqrt(7920) - sqrt(7920)*-1)))\/(-6*sqrt(245)*6*-1).\nAnswer: 2*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 70\/(8 + 59\/(-8)). What is the highest common divisor of 20 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -439.0764 + 439. Let b = 0.275 - 0.19. Let h = v + b. What is h rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 30 = 4*b. Let v be (57\/b)\/(1\/2). Let s = v - -67. Is 18 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 36*y - 10. Let f(i) = 7*i - 2. Determine -16*f(a) + 3*t(a).\nAnswer: -4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmdmmddmmmmmmmmdmmm. What is prob of sequence mmd?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -12*y. Let l(d) = -23*d. Determine -2*l(t) + 5*x(t).\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3*-0.032\nAnswer: 0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 4. Let f = 71 - 124. Is ((-3)\/s - f) + -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*a = -5*g + 98, 5*a = -5*g + 110. Let o be 4*(g\/(-6) + 3). What is the third smallest value in o, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18697\/3 or 0.9?\nAnswer: 18697\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1839 + 1288. Let q = -207 - f. Suppose 5*l = d + 429, l = -3*l + d + q. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2672 is divided by 1333.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 219 - 208. Suppose 1040 = p*d - 896. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6476.765 take away 39083.93?\nAnswer: -45560.695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -23*k - 17 + 40*k + 9600*k**2 - 9577*k**2. Let j(g) = 4*g**2 + 3*g - 3. Determine -34*j(n) + 6*u(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-4)*(-12)\/(-30). Let r = -0.23 - 1.77. Which is the nearest to 0? (a) r (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11371 and 249?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4 - 5*m + 6*m**2 - 7 + 0. Let j = -2632 + 2636. Suppose -33 = 7*l - 4*l. Let g(v) = 2*v**2 - 2*v - 4. What is j*w(f) + l*g(f)?\nAnswer: 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8244 and 159108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of m**3\/5 + 33*m**2\/2 - 190. Factor p(u).\nAnswer: 3*u*(u + 55)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a meter in centimeters?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -124 - -115. Let v = 15.3 + s. Round v to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 4*v - 6, 3*u + u + 3*v = 11. Suppose u*j - 740 = -5*t, -140 = t - 2*t - 2*j. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -1)*(0 + 1). Suppose -10*p = 3 - 13. Let m be (2 - p)*h + -12. Put -5, -3, m in increasing order.\nAnswer: m, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5*i + 21147, -798*h + 799*h = 2*i - 8460. What are the prime factors of i?\nAnswer: 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2442 at most 665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 481489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 9*i - 2. List the prime factors of l(4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*j**3 + 6604 + 3957 - 10561.\nAnswer: -39*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1669220555.19999598 + 1669221117.2. Let b = -562 + g. Round b to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, s: 2, i: 3, n: 2, o: 2, p: 2}. Give prob of picking 1 i, 1 o, and 1 p.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) 6 (c) 0.3 (d) -1.11 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l. Let n(r) = -446*r**2 + 4*r. Let o(i) = 3*d(i) - n(i). Let c be o(1). Suppose -5*y = -4*k - c, 5*y = y - 4*k + 356. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/5*10\/(-4). Let i be 3\/2*(2 - -2). Let c = i - h. Solve -j - 1 = -c*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + -9. Let l = d - -40. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 o, and 1 p when four letters picked without replacement from oppao.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a millennium in centuries?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j - 5. Let v(q) = -q - 1. Suppose -3*d - u = -3*u + 12, -15 = 3*d - 3*u. Let i be d\/(-4) + (-22)\/4. Let n be v(i). What is s(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -600, -1170, -1738, -2304, -2868?\n\"Answer: w**2 - 573*w - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 7*h. Let b(i) = 2*i**2 + 12*i + 3. Let p be b(-6). Suppose w = 5*s - 19, -3*s = 2*w - 8*s + 13. Let z(j) = 3 + 5*j - p - w*j. Calculate z(m(n)).\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*g - 3*n, g - 33 = -2*n - 22. Suppose -96 = -4*f - 4*x, -f + 3*x - 7 + 23 = 0. Calculate the smallest common multiple of g and f.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1440)*1)\/(sqrt(72)\/sqrt(4)) + 2 - ((-1*sqrt(720))**2*4 - ((-2*sqrt(5)*-1)**2 + (sqrt(55)\/(sqrt(22)\/sqrt(2)))**2)).\nAnswer: -2853 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a**3 + 5*a**3 - 4*a**3)*(0 + 0 + 2)*(11*a + 28*a + 56*a) + a - 2*a - a**4 + 0*a to z + t*a**4 + q*a + d*a**3 + w*a**2 and give t.\nAnswer: 759","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 41045 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/3 - 262*x\/3.\nAnswer: -2*x*(x + 131)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oat. Give prob of sequence aot.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lu when two letters picked without replacement from leeoouusoooooe.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354685 is divided by 176625.\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 12 = 5*u. Solve v = u*t + 2*v + 13, 0 = -4*t + v - 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227687 is divided by 2528.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.961064 decades?\nAnswer: 115.32768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(486)*-1 - sqrt(486)) + (sqrt(6) - sqrt(120)\/sqrt(5)))\/(sqrt(48) + 1*sqrt(192)).\nAnswer: -19*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(6*sqrt(7)*-1).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 57\/72)\/((-100)\/(-40))\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (432\/(-324))\/((-2)\/1*-1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -3*f - s, -f - 3*s = -7*s - 5. Let y be -33*(3 - f\/(-3)). Let q = -9 + y. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*u = 3*p + 10, -5*p + u + 7 = 0. Suppose -10 = 2*i + 2*m, -4*m + p = 5*i - 8*m. Let t(c) = 5*c**2 + 5*c + 2. Is t(i) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52*x**2 - 280*x + 1 - 4 + 4 - 917*x**2 wrt x?\nAnswer: -1730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 + -20 + -30 - 37.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4032040 (base 5) in base 12?\nAnswer: 314b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -119670*u + 119696*u. Which is greater: 44 or u?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 483306426 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 508924963?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 - 3)*((-4 + 1 + 5)*(0 + 1 - 4) + 1 + 2 - 4)*(5*p**4 + 0*p**4 - 2*p**4) to the form j*p + t + b*p**4 + m*p**3 + o*p**2 and give b.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 135272.5 and -47428.6.\nAnswer: 87843.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**2 + 3 - 16*z + 17*z + 4*z**2. Suppose -3*i = 2*i. Give k(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2425*t**3 - 8*t**2 - 2421*t**3 + 8*t**2 + 416.\nAnswer: 4*t**3 + 416","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100\/30 + (-2)\/6 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*i - 7511, 4*i - 8*n - 7490 = -2*n. Let b = -1281 + i. List the prime factors of b.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 4*m - 6. Let t be x(5). Suppose -3*n = u - 4, 3*u + 5*n - 59 + 47 = 0. Put u, 1, t in descending order.\nAnswer: u, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1829661189 to the power of 1\/3, to the nearest integer?\nAnswer: 1223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -13\/18*h**4 + 21*h + 0*h**2 + 0 - 4\/9*h**3 - 1\/10*h**5. Factor i(p).\nAnswer: -2*p*(p + 4)*(3*p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 129 + -125 - (-2 - 16\/(-2)). Sort 2, -64, r.\nAnswer: -64, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23031 (base 4) to base 12\nAnswer: 4b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) -1\/10 (c) -4\/205 (d) 0.2 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17453*j - 50 = -5*r + 17448*j, j = r + 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 205 and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.81 rounded to one dp?\nAnswer: 7.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.19 + 12.19. Sort 0.2, 2\/15, h, 19 in ascending order.\nAnswer: 2\/15, 0.2, h, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.89061 to 2 dps.\nAnswer: -0.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 497 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -16*u - 8*u + 4*u - 1 + 3. Let m be d(2). Let v = m + 35. Put 0, v, 6 in increasing order.\nAnswer: v, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) -11 (c) 23.5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - 103\/(-24)) + (2 - 2). Let l(f) be the second derivative of 0*f**2 - r*f**4 - 3*f + 0 + 1\/6*f**3. Suppose l(n) = 0. What is n?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**4*p - 34486*c**4 + 10*c**2*p + 2*c**2 + 89*c*p + 2*c + 7 wrt c.\nAnswer: -24*c*p - 827664*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 65 - (2 + -1) - 0. Let u(d) = -d**3 - 5*d**2 + 6*d - 6. Let z be u(-5). Let a = -20 - z. What is the highest common divisor of a and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5526708 = 139*v + 1587372 - 1098024. What is the thousands digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 726*x - 2916. Let y be i(4). Put 2, y, 64, 0.3 in descending order.\nAnswer: 64, 2, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n + 45. Let w be d(11). Suppose -2*v + 3*m = -2, -4*v - 2*m - 4 = 8. Sort -3, v, w.\nAnswer: -3, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20452275851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26556 and 21147428.\nAnswer: 63442284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.141 * -6.72.\nAnswer: -34.54752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 97, 153, 209, 265, 321, 377?\n\"Answer: 56*z + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + 4)\/(1\/(-4)). Suppose -28 - 228 = -t*y. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121210003311 (base 4) in base 7?\nAnswer: 110650215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 81 - 6. Let p be -1*1*k\/(-3). Let i = p + 9. What is the smallest common multiple of 8 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xsqddiddxdddcqidisd. What is prob of picking 1 i and 3 d?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14044*c*u**2 - 862072*c + 25*u**3 wrt u.\nAnswer: -28088*c*u + 75*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r - 86. Calculate l(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 7*s - 3. Let a(v) = 22*v - 1. Let i be a(1). Suppose 0 = -2*d + 3*p - 9 - 7, -5*d = 2*p + i. What are the prime factors of y(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137 + -8 - (3 + -21 + (10 - (4 - 4))).\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.6 + 87.6. Let t be (7 - 9) + (2 - -1 - 0). Is v greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11, -1, -0.25, 2, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 - 4) + (4 - -2) + -8. Sort -6, i, 3\/7, 6.\nAnswer: -6, 3\/7, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(468)*5 + 4)*-2)**2 + 2.\nAnswer: 3840*sqrt(13) + 187458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 5916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 + -50. Let g = -3853\/4970 - -52\/71. Let h = 11\/210 - g. Are c and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10043 (base 9) to base 2.\nAnswer: -1100111001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 - -345. Suppose -u + m - 83 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -8, 27, 3.\nAnswer: -8, -4, 3, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24527652*o**3 - 51033152.\nAnswer: 73582956*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n + n + n + (-3*n - 4*n + 6*n)*(0 - 2 + 0) + (-1 + 1 - 1)*(0*n - 5*n - 8*n) + 0 - 112*n + 12 + 113*n.\nAnswer: 18*n + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 5*l**2 + 3*l. Let j(f) = f**2 + 6*f + 3. Let r be j(-5). Determine a(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1145 (base 7) to base 5\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 55\/2 of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 29*t**2. Let m(z) = -z**2 + z + 2. Let f(r) = 2*r**2 - 3*r - 6. Let w(g) = -f(g) - 3*m(g). Determine i(w(h)).\nAnswer: 29*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.8141987 milliseconds?\nAnswer: 814198.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (981\/(-3))\/((-3)\/2). Suppose -2 + 17 = 5*w, -2*w - r = 4*l. What is the units digit of 72\/14*l\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5198988 micrometers in kilometers?\nAnswer: 0.0000000005198988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3*w + 19 = -2*v, 3*v + 2*w + 9 = 0. Does 8 divide (-332)\/v - 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 6*h**2 + 4*h - 7. Let n be j(6). Let g = n + -11. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -215 divided by -215?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59133150 + 189102450 = 11*n + n. Round n to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h**5 + 261*h**4 - 171*h**3 - 4341*h**2 - 2160*h + 1728 = 0. Calculate h.\nAnswer: -3, -1, 3\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h**2 + 4*h - 8. Let k be l(-6). Let d = 9 + -17. Let g = d - -22. What is the highest common factor of g and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*8.21\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 7*j - 748 = 0. What are the prime factors of j?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s**2 - 2*s + 3. Give w(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13023234 and 26826?\nAnswer: 221394978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 692*u + 6453 = 29981 for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -11*j. Let h(k) be the first derivative of -1\/2*k**2 + j*k + 3. Let r(x) = 7*x. Determine h(r(w)).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 324108767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r - 3*r + r + 5*r. Let h(b) = 4*b. Determine f(h(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = y + 10*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-191)\/34380*1650*(1 + (-8)\/10)?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7683 - -26?\nAnswer: -7657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 330, 709, 1088, 1467, 1846?\n\"Answer: 379*y - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/6*(1\/10)\/(1800\/(-4320)). Suppose 0 = 3*x + 5*y - 21, -3*y + 15 = 2*x + 1. Which is the closest to x? (a) -5 (b) i (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 237*d - 231*d - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*q + 176, 104 = 3*q + 4*s - 2*s. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -63, -99, -137, -177, -219, -263?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 4*x - 569, -g = 14*x - 10*x - 179. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/5))**0\/(m*m\/m**(-1))**28 assuming m is positive.\nAnswer: m**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3.8 (b) -5 (c) -0.4 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.7 and 15.4.\nAnswer: 180.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + n - 17. Let g be b(0). Let l = -38 - g. What are the prime factors of (5 + -1)\/4 - l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 0.3, 97\/80, 0.1, -1\/6?\nAnswer: 97\/80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(2)*2 + sqrt(2) - sqrt(2)) + ((-5 + sqrt(128))**2 - sqrt(2)).\nAnswer: -79*sqrt(2) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 21*l = 4*h - 104, -669*h - 2*l = -670*h + 22 - 31 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-50)\/(-325) - (-2)\/(-13). What is the remainder when (-5*(t - 1))\/(8\/232) is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -4*i + 3*m - 21, 2*m = 5*i + 36. Let h = i + 8. Suppose h*v = 2*u - 50, 3*u + u - 92 = 2*v. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x**2 + 40*x + 2. What is p(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (52\/(-25) + 2)\/(8\/(-80)). Let x = 20.46 + 0.54. Let y = 18 - x. What is the third smallest value in 1\/10, -0.1, y, b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9785*j**3*w**2*y - 2707*j**3*w*y**2 - j**3 + 6*j**2*w**2*y**2 + 9*w*y wrt w?\nAnswer: 19570*j**3*y + 12*j**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*l + 3*l - 2*l)*(-2*l**2 + 0*l**2 + 0*l**2) + l**3 - 6*l**3 + 4*l**3)*(14*l - 3*l + 3*l).\nAnswer: -42*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + (-2 - -2) - (-26)\/8. Let l = 2\/71 - 160\/639. Which is the second biggest value? (a) l (b) q (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 5*a - 8, 0 = -4*a - 6*z + 4 - 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 14*c - 1418. Is 124 a factor of w(49)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 405704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 59*q**2 - 117*q - 457. Determine n(-61).\nAnswer: -762","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c*(((c**(-1\/4)\/c*c)\/c)\/c*c*c)\/c))**7)**(4\/21) assuming c is positive.\nAnswer: c**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*s + 27 = 0, o - 4*s + 3*s = 11. What is the remainder when 37 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/14 - 324920\/28. Is (12\/9 + -2)\/(8\/q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32412179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -598*t**3 - 4*t**2 + 139*t - 400. Let b be q(3). What is b rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*x**3 + 4 + 0 - 4 - x**3.\nAnswer: 22*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**4*s**(-6)*(s\/(s*s**(-6)*s*s))\/(s\/(s**(2\/5)\/s)*s))\/(s**(-2)*s**3)**(-4\/9) assuming s is positive.\nAnswer: s**(-7\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260*q + 3239*q = -432*q + 10233. Let f = -3 + 2. Let h(l) = 14*l**2 - 1. Let x be h(f). Solve b + 2*n + 10 = q*b, b - 5*n - x = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8212507 centuries in months?\nAnswer: 985.50084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2512189443 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2988 or -2987?\nAnswer: -2988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 20 = y. Suppose -4 = v + 3*v. Suppose -n + 20 = 4*a, n + 12 = -636*a + 640*a. Put y, v, n in increasing order.\nAnswer: v, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/7, -764, 564?\nAnswer: 564","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1649, -3278, -4917, -6566?\n\"Answer: -5*z**2 - 1614*z - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -95, -132, -171?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/5 + 216*k\/5 + 213\/5.\nAnswer: 3*(k + 1)*(k + 71)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 702001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from atiwa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 - (284\/(-3) + 8\/(-24)). Suppose -v*l - 15408 = -108*l. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3890*h - 120. Let f(t) = -7*t - 6. Determine 20*f(k) - m(k).\nAnswer: 3750*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 87\/9325 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 194 = 3*i, -3*i + 154 = 5*l - 352. Let f = l - 48. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64\/(-64)*2\/15\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 991662382 + 29*f**2 - 991662382.\nAnswer: 29*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j**3 + j**2 + 3. What is r(2)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 21*n + 44. Let f be a(-2). Solve 5*p + 15 = f*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2302866?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/1836 and 127\/7212.\nAnswer: 1103436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18824139 is divided by 10061.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 22*2\/(-4)*1. Let z = -12 - -7. What is the second biggest value in z, 2\/7, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24874*i**3 - 24810*i**3 + 2*i + 2 - 6 in the form g + t*i**3 + z*i**2 + d*i and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 10*m - 54*m + 24*m. Let z(r) = 1 - 1 + 2*r. Calculate z(h(n)).\nAnswer: -40*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tlqqmlemqellmeqmlm. What is prob of sequence emt?\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1148226290 and 467.\nAnswer: -1148225823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z + 4. Suppose -11*k = -6*k + 15. Give w(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 - (17 + 17 + -17).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18*a**4 - 37 - 120*a**3 + 120*a**3 wrt a.\nAnswer: -72*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 1 + 1)*(0 + 0 - 2*l) as j + z*l and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (4 - (-8)\/8). Let u(g) be the first derivative of g**4\/4 - 4*g**3\/3 - 9*g**2\/2 + 21*g - 7. Is u(y) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/60 and 131\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.2, -2\/3, -496, 0.06, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, 0.5, -1, 1\/5, -154109?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 6*c**2 - 7*c - 24. Determine a(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-18)\/(i*i\/(i\/i**(1\/2))*i) assuming i is positive.\nAnswer: i**(-41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*s + 15. Let c be 29\/(-5) + s + 2. Let m = 1\/14 + 3\/7. Sort -3, c, m in decreasing order.\nAnswer: m, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (353\/(-3))\/(12\/(-36)). Suppose -6*o = -511 - j. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3142701 - -62791597\/20. Let f = -3120 - d. What is the common denominator of f and -45\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(2448) + 4 - sqrt(2448)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1224*z + 352*z + 3459 - 64923 for z.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2346692267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 8*u**2 - u + 5. Let h be b(-3). Let p be (h\/(-56))\/(2\/(-7)). Suppose -p = 2*n - 7*n. Which is greater: -1\/17 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 0*u - u - u - 2. Let s(z) = -2*z + 5*z + 12 + 2*z - 3*z. Let l be s(-7). Determine j(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -20. Suppose -3*b + 5*c + 12 = 0, -v*c - 20 = 5*b - 10*b. What is the third derivative of 18*z**2 - b*z**5 - 22*z**2 - 8*z**5 wrt z?\nAnswer: -720*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*i + 1\/5*i**2 + 80.\nAnswer: (i - 20)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 964426 > 964427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-8)\/z)\/z)\/z**2*z\/((z**4\/z)\/z*z)*(z**(3\/2)*z)\/z assuming z is positive.\nAnswer: z**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(1\/6))**(1\/14) assuming f is positive.\nAnswer: f**(5\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22745 - 10596. List the prime factors of x.\nAnswer: 12149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 6. Let t be y(7). Let n(a) be the first derivative of -a**6\/24 + a**3\/6 - a**2 + 1. Let l(d) be the second derivative of n(d). Calculate l(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i**2. Let w(h) be the first derivative of 2*h - 2*h + 4*h**2 + 2 - 11. Determine w(k(a)).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h + 7. Let c(d) = d**2 + 5*d - 6. Let p be c(-6). Let w = 0 + p. Determine j(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5}. What is prob of picking 4 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 - 6*u + 5. What is w(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105317*r - 106180*r + 211504*r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 1)*(-193 + 193 + 57*w)*(-3 + 2 + 0 + (0 - 1 - 1)*(0 + 2 + 0)) as z + d*w and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-27004)\/(-10) + (-24)\/60?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b. Let v(f) = 7*f**2 - 3*f + 6. Let t(i) = 5*r(i) + v(i). Let q(h) = -15 + 6 + 14 - 10 - 2*h - 6*h**2. Calculate -6*q(p) - 5*t(p).\nAnswer: p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 11:49 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11951 and 323.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 717 divide 8159460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 749\/(-2247) - 1*(-1 - (-94)\/(-3)). Solve 0 = d*b - 29*b + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c - 3. Let f be w(6). Let x = -3661 + 3666. Find the second derivative of -20*o + o**x - f*o + 3*o**5 + 0*o**5 wrt o.\nAnswer: 80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3072?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/93 at least as big as 863?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kzkzzoqzkzouoz. What is prob of picking 1 o, 1 z, and 1 q?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 968 is divided by 113?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5*f = -l - 37, 3*l + 2*f - 19 = 0. Let w(a) = l - 9*a**2 + 9*a**2 + a**3 - 3*a**2 - 4*a**2. Give w(6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -805.35 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -331*j + 1. Let t(f) be the first derivative of -f**4\/24 - 159*f**2\/2 - 231. Let k(h) be the second derivative of t(h). Determine m(k(q)).\nAnswer: 331*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 835*d - 10. Let x be o(6). Round x to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 2:06 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -41?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u - 1. Let c(x) = 3*x - 2. Let r(t) = 3*c(t) - 8*d(t). Let k be r(2). Solve o - k*o = 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -7.05. Let r = 106.65 - 114.7. Let z = y + r. Which is the smallest value? (a) 2 (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-1) - 2) + 3. List the prime factors of d\/4 + (-5)\/20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 877*h**3 + 552*h**2 + 12*h - 4. Let r(k) = -k**3 + k**2 + 3*k - 1. Let j(s) = -l(s) + 4*r(s). What is the third derivative of j(p) wrt p?\nAnswer: -5286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6427473, -6427540, -6427607, -6427674, -6427741, -6427808?\n\"Answer: -67*n - 6427406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*j + 2*j. Let x(u) = 2*u**2 - 2*u. Let y be x(j). What is the third biggest value in 1, y, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187304034?\nAnswer: 2, 3, 31217339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2501 is divided by 626?\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 47229305 to the nearest ten thousand.\nAnswer: 47230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84 by 5930.\nAnswer: -42\/2965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + 1796\/(-288) + 1\/(-4). Let k = d - 1\/72. Let q = 0.28 + -0.58. Put q, -2, k in decreasing order.\nAnswer: q, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96118 is divided by 22.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1962509895 divided by -261.\nAnswer: -7519195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 91, 163, 253, 361, 487, 631?\nAnswer: 793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**2. Let x(a) = 208*a**2. Give o(x(m)).\nAnswer: 129792*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 1044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 5. Let a be (-2)\/(f\/(-3)) + 2. What is the lowest common multiple of 20 and (-10 + a)\/((-2)\/4)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*g + 12. Suppose 0 = -4*v + 4*r, -4*r + g = -v - 4*v. Let z(b) = 2*b - 1. What is z(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7115?\nAnswer: 5, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 440014 (base 5) to base 15\nAnswer: 46a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-186)\/15 + 2)*-20. Suppose 5*l - 560 = 9*l. Let h = y + l. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.58663+1014244121\nAnswer: 1014244119.41337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03166? (a) -2\/5 (b) 34 (c) -0.3 (d) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010011 + 11?\nAnswer: 1010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 + 34. Let a = -15 - s. Suppose -5*v + 3*p + 54 = 0, -v - 4*p + a = -18. 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: 616\/11*((-1)\/5)\/(24\/(-120))*-1\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6110 = -188*l - 141*l - 141*l for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millisecond in nanoseconds?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0181329602 rounded to 5 dps?\nAnswer: 0.01813","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**4\/24 - 5*k**3\/3 + 2*k**2. Let f be j(-7). Let l(c) = -2*c + 5. Let w be l(4). Is w smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 15 = o, -7*x - 15 = o - 2*x. What is the common denominator of (-5)\/o*558\/28 and 121\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 260\/30 + (-4)\/6. Sort 1\/3, u, 2.\nAnswer: 1\/3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193913 is divided by 171.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001996238 rounded to 7 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 2*v + 1. Calculate b(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384*g = 389*g - 16710. Let n = -1530 + g. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 3\/4 (c) -42 (d) -5\/4 (e) -9.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253 = -21*h - 2*h. Solve h*s - 35 = 4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9\/143 - 1685\/10868. Let d = -16\/19 - t. Is -1 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5434.443 and 233.7.\nAnswer: 5668.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(5\/(-2) - -3). What is the tens digit of (-3)\/6*j*-6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 171.1775 + -171. Let n = o - 0.17. Round n to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**3 + 6*m**2 - 2. Let a(k) = -2 + 7*k**2 + 0*k**3 + 0*k**3 + 0*k**2 - 3*k**3. What is 4*a(d) - 5*w(d)?\nAnswer: -2*d**3 - 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 53068716 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/45*-43)\/(-14*6\/756)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.875 - 0.875. What is the biggest value in -1.14, -0.1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1391 is divided by (-2782)\/(-91) - (-60)\/140?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 680249.\nAnswer: 680249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 167166089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 499839*g**2 + 545858*g**2 + 36403*g**2.\nAnswer: 1082100*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**2\/2 - 3*j + 1. Let a(p) = -p + 3*p - 16 - 7*p. Let d(c) = 11*c**2 - 10*c + 1. Let r be d(-1). Determine r*s(g) - 4*a(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 17*g**6\/2 - 173*g**2\/2 - 80. What is the second derivative of q(d) wrt d?\nAnswer: 1020*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l\/((l**(2\/5)\/l)\/l*l)*l)\/l)**6\/(l*l**(-7)*l**(-1\/4)) assuming l is positive.\nAnswer: l**(557\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 1. Let h = -5.04 + n. Round h to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7593 - 7593 - 1015*d + 3*d + 2*d - 3*d + (0 + 3 - 5)*(2*d + 2*d - 2*d) + 1 - d - 1 + 0 - d + 0)*(27*d**3 - 24*d**3 - 22*d**3).\nAnswer: 19361*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 65179.6 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310 is divided by 142?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4926012 by 12.\nAnswer: 410501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5306*f + 5485*f - 4 + 1)*(0*f**2 - f**2 - 2*f**2) as t*f**2 + a*f + b + v*f**3 and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 417 + -394. Let v be (-24)\/(-4) + -1 + p. Calculate the highest common divisor of 14 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/2)\/((-2)\/(-4)). Let v = 11 + -10.8. Which is the closest to v? (a) 1\/5 (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*p = 27*p - 2*o - 10, -3*o - 3 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 293\/2*x**2 + 0*x - 30*x**3 + 211. What is the second derivative of l(z) wrt z?\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p**4\/14 + 4*p**3\/3 + 9*p**2\/7 - 648*p\/7 - 324. Determine k so that t(k) = 0.\nAnswer: -9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11562, 23104, 34646?\nAnswer: 46188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 12678266.81 and -0.00901.\nAnswer: 12678266.80099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6725 + 7113. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 7723220.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 343 - 341. Suppose f*j = 10, 4*o + 0*o + 3*j = 35. Solve -c - o = -6*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(6776) - (sqrt(6776)*-1 + sqrt(6776)))\/(sqrt(8) + (sqrt(56)\/(sqrt(21)\/sqrt(3)) - sqrt(8))) + -5.\nAnswer: -44*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 5*x**2 + 2*x**4 + x**3 - 3 + 3*x**2 + 0*x**2 in the form c + b*x**4 + f*x**2 + h*x**3 + g*x and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.9, 0.5, -270, 2.3?\nAnswer: -270","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 91285 and 2556398.\nAnswer: 2647683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**3 - y**2 - 99 + 6*y**2 + 98 to h*y**2 + p*y**3 + j + l*y and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14208.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 + -10?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 take away -11472556340?\nAnswer: 11472556347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 + 3*y - 5. Let f be l(-3). Solve -c + 10 = -3*c - f*p, 2*p - 15 = -5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 12*w**2 - w + 49. List the prime factors of o(-14).\nAnswer: 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4499466 a multiple of 1653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 0. Find the third derivative of -2*z**4 + 17*z**6 - 16*z**h + 2*z**4 - 3*z**2 wrt z.\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 4, -4, 1.\nAnswer: -32, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 69020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*v = s + 31*v + 15, 2*s - 5*v = 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 - (42 + (-8 - 53)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pv when two letters picked without replacement from {e: 1, v: 6, p: 2, z: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 8*n**2 + 6*n - 4. Let z be m(-7). Suppose z*p = y + 10, -3*p + 14 = 4*y - 21. Let d(f) = f**2 - 4*f + 1. What is d(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/9*3*1. What is the hundreds digit of 212\/(-8)*t*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, s: 1, r: 1, q: 4, a: 5, w: 4}. Give prob of picking 1 x and 1 a.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 2:47 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -16. What is the remainder when 3*(3 - (-19)\/3) is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -56 - -150 - 15 - 73?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/((g*g*g**7\/g)\/g))\/(g\/(g*g**4)))**4 assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 - 2 + 3)*(-1 + 2 + 0) + 4 + 1 - 3 - 1 + 3 - 3)*(8 - 10*p**4 - 8) to the form x + s*p**3 + f*p**2 + w*p**4 + y*p and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7370 is divided by 91?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 65\/35)*14. Let y = s + 10. Let o(b) = -b**2 - b + 1. Let d(r) = -4*r**2 - 5*r + 7. Let p(m) = d(m) - 5*o(m). What is p(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**3 - 5*q**2 + 3*q + 4. Let w(z) = 2*z**3 - 3 + 4*z**2 + 3*z**3 - 6*z**3 - 2*z. Determine 3*k(j) + 4*w(j).\nAnswer: 2*j**3 + j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -265, -494, -713, -916, -1097?\n\"Answer: s**3 - s**2 - 233*s - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 9, -2\/15, -358\/5, 3?\nAnswer: -358\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 105468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -28*a + 51. Let b(l) = 54*l - 101. Let m(k) = 2*b(k) + 5*r(k). What is the first derivative of m(u) wrt u?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 342099816 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -736, -691, -638, -577, -508, -431?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2. Let u(p) = 1701*p**2. Calculate u(a(s)).\nAnswer: 6804*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, k: 5, s: 5}. What is prob of picking 2 a?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -1, 1 in increasing order.\nAnswer: -35, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75137.82t to grams.\nAnswer: 75137820000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**5\/3 + 7*n**4\/3 - 10*n**3\/3 - 2*n**2\/3 + 11*n\/3 - 5\/3 = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 9 + 6 = 0. Calculate the remainder when w is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1226184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2335449 and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2 - -27.2. Let f = 25 - o. Which is the closest to 2? (a) 2\/19 (b) 4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/2)*o)**(-9\/7)*o*o**(-7\/5)\/o*o**(3\/23)*o assuming o is positive.\nAnswer: o**(601\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -116 or -2919\/25?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 74 and 2.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(1008) + 5*(sqrt(1008) + -3*sqrt(1008)) - sqrt(1008))*4)**2 + -4.\nAnswer: 6451196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/10 + (-8)\/(-20). Let j(l) = 2*l**2 - l + 5. Let k(z) = z**2. Let y(f) = j(f) - 3*k(f). Let i be y(g). Sort i, -2\/3, 2\/7.\nAnswer: -2\/3, 2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10231 (base 7) to base 16\nAnswer: -9d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -3*m**4\/7 - 1985715*m**3\/7 - 438110285877*m**2\/7 - 32217900048952689*m\/7 + 386677891899976284\/7 = 0?\nAnswer: -220639, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k - 7*k + 3*k + (-4*k - 6 + 6)*(-87 + 169 - 56).\nAnswer: -106*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 117*l**2*u**3 - l*u**3 - 46*l*u**2 - 2*l*u wrt l?\nAnswer: 234*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mcmmc. What is prob of sequence cmm?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5, -17, -49, -113, -221, -385?\n\"Answer: -2*u**3 + 2*u**2 - 4*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/9 + 68*s**3\/9 - 24*s**2 + 220*s\/9 - 74\/9.\nAnswer: 2*(s - 1)**3*(s + 37)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/((-10)\/(-58))*-2. Let h = i - 62. Let z be 11\/h - (-7)\/(-28). Which is bigger: -22\/7 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 270 and 30?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1632580862.9 + -271876403.1. Let t = c + 1904457347.9999963. Let v = 82 - t. Round v to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 18. Solve 1 + d = h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d - d - d)*(2*d + 2 - 2)*(-2*d + 0*d - 2*d)*(-12 + 7*d + 12 + (3 - 1 - 3)*(0 + 0 - d)) to the form m*d**2 + t*d**4 + k + r*d + u*d**3 and give t.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1.05 * 1082857\nAnswer: 1136999.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -119? (a) -0.3 (b) -2\/9 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbouonreebreben. What is prob of sequence no?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*y**4 - 44*y - 66*y + 761*y**3 + 102*y + 4*y**4 - 5*y**2 wrt y?\nAnswer: 48*y + 4566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 h, 1 k, and 1 a when four letters picked without replacement from amqakhpkpaqp.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 16. Let d be ((-18)\/8)\/(l\/40). What is the highest common factor of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 + 147*m + 722. Calculate a(-5).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.36352 + 0.57683.\nAnswer: 0.21331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**3 - 31*u**2 - 17*u + 29. Let c be p(16). Solve 0*i + c*i = 39 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47\/159 + -2\/53. Let p = -3 - -2. Let c = 13.173082 - 0.173082. What is the closest to p in z, c, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 351129*b**3*r**6 + 37*b**3*r**2 - b**3 + 2*b - 10*r**2 - 1 wrt r.\nAnswer: 42135480*b**3*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -86 - -86.2. Let b = 15.9 - 15. Let w = -0.8 + b. What is the nearest to 2\/5 in w, -1\/2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23149841, 23149852, 23149877, 23149922, 23149993, 23150096, 23150237, 23150422?\nAnswer: 23150657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -26458812699 - 0.414\nAnswer: -26458812699.414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -15. What is the third derivative of 5*i**4 + 46*i**2 - 18*i**o - 20*i**2 wrt i?\nAnswer: 120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**3 - 9*b**2 - 3*b + 5. Let l be a(-4). Let r(x) = 7*x - 2*x + 0*x. Calculate r(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92.9999875 - 93. Round m to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -1128, -1, -105, -59 in decreasing order.\nAnswer: 9, -1, -59, -105, -1128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78395 is divided by 505?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01498 and -0.4?\nAnswer: -0.005992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 162880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2620 and 169?\nAnswer: 442780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**3*s**4 - 2*d**3*s**2 - 3*d**2*s**2 + 100*d*s - 48*s**6 wrt s.\nAnswer: 24*d**3*s - 5760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189 + 77*i**2 - 5*i**2 - 210.\nAnswer: 72*i**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 1612?\nAnswer: 33852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*k**4 - 4*k**4 - k**4)*(2 + 13 - 9) - 4*k**4 + 2*k**4 + 8*k**4.\nAnswer: -84*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*b = 10882 - 2902. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2457, -9019, -19963, -35295, -55021, -79147, -107679?\nAnswer: -140623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24212 - -13556?\nAnswer: 37770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33372456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 + 276*b + 1125. What is y(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21542761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 - 24. Calculate the lowest common multiple of a and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - 72 + 8 = 0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 25368.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q + 23. Let s be y(7). Suppose 0 = -3*z + 5*o + 137, s*o = 2*z - z - 47. Calculate the remainder when z is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14 (b) -0.5 (c) 3 (d) -1 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - (-2 + 2))*-2. Suppose o + 18 = 4*o. Let t = 8 - o. Solve -4*u = -t*h + 2, -3*h + 14 = s*h - u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 8*f**2 - 2*f - 8. Let y be s(4). Suppose -34 = -2*q - 3*x + y, 5*x = -2*q + 154. List the prime factors of q.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.003 + 0.403. Let w = -0.2 + -0.8. Let k = w - 3. Which is the third biggest value? (a) n (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24850 is divided by 218?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -12877 > -12876?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**2 + 7*o**2 + 8*o**2 + 4*o**2 + 0*o**2 - 5*o**2 + (2 + 4 - 5)*(-2*o**2 - o**2 + 2*o**2) - o**2 - o**2 + 0*o**2 - 3*o**2 + 0*o**2 + 0*o**2.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from viovjjcz. Give prob of picking 1 j and 1 i.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23776 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -381 + 192 = -27*o. What is the remainder when 1076 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 3*o**2 - 7*o - 1. Let q be 3\/(-2)*8\/(-6). Calculate the remainder when 8*q*52\/32 is divided by u(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.069 - -233.\nAnswer: 233.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 4*s - 2*s)*(23 + 3*s - 23)*(7*s**2 + 32*s**2 + 46*s**2).\nAnswer: -765*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 52 - 54 - 2242*s - 780*s + 3*s**2 as i*s + w*s**2 + x and give i.\nAnswer: -3022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + 4*y + 2*y)*(-y + 3*y**2 + y) + 3*y**3 - 4*y**3 + 2*y**3.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.191 - 0.391. What is the second smallest value in 4, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 5 = 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 66269340?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 6:53 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 u when four letters picked without replacement from {n: 2, u: 12, f: 5}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1679, -6750, -15195, -27008, -42183?\n\"Answer: x**3 - 1693*x**2 + x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 13\/3798 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1343 from -0.0789.\nAnswer: -1343.0789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 15. Let f(d) = 4*d**2 + 2*d - 11. Calculate the remainder when f(-4) is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52604 - 29250. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 560 divided by 27173\nAnswer: 560\/27173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 0*m + 0*m**2 + 1\/3*m**3 + 23. Let j(u) = 8*u. Calculate j(x(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1196 and 43539.\nAnswer: 2264028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, g: 4, d: 4, o: 6, b: 2, q: 2}. What is prob of picking 2 g and 1 q?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -774 by 1944.\nAnswer: -43\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 179\/1860 - 2\/155. Let k(b) be the second derivative of 0 + 1\/6*b**3 - a*b**4 + b**2 - 3*b. Let k(l) = 0. What is l?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 + 30. Let o be (-25)\/(-90) + 5*(84\/270)\/7. Which is the third biggest value? (a) -3\/2 (b) g (c) o (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 529*t**2. Let p be k(1). Let u = p - 238. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) - (sqrt(847) - 1*sqrt(847))) + -5.\nAnswer: -5 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68 + 69. Is -1\/50 >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c - 1. Suppose -10 = -w - w. Suppose 0 = -l + w*l. Let u be g(l). Sort 5, -2, u.\nAnswer: -2, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 6*y**2 + 8*y + 1. Let s(d) = -11*d**2 - 15*d - 1. Let q(j) = 4*s(j) + 7*t(j). Let b(i) = -i**2 - 3*i + 3. What is -4*b(c) + 3*q(c)?\nAnswer: -2*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 6:30 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440797 is divided by 463.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2420 - 2416. Solve 24 = -2*l - c*f, -5*l - 3*f - 12 = 13 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + (-3)\/6)\/((-748029)\/93504 - -8) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pze when three letters picked without replacement from pcpecwwwzcw.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12110 is divided by 425.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**2 - 1866*d - 24427 = 0.\nAnswer: -13, 1879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 200712 + 249\nAnswer: 200961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -245*y + 243*y + 2. Is y > -2\/9137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -21*g + 3. Let x be o(0). Solve -x*a + 0 = 2*w - 2, -4*a = -3*w + 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**4\/20 + o**3\/10 + 9*o**2\/5 - 238*o. What is l in z(l) = 0?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**3 - 139*o**2 + 70*o - 81. Give f(69).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 312 divide 1641432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 599439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, 1\/77, -3\/8, 1\/2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**7\/70 - 11*f**6\/20 + 41*f**5\/20 - 5*f**4\/2 - 851*f**2. Solve g(i) = 0.\nAnswer: 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - 1 - (-4)\/4. Let u = 6 - 4. Let g = u + w. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g - 20. Suppose 0 = 17*u + 104 + 49. Calculate q(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 211727161 divided by 1667143.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -1\/4 (c) 2 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 20 = 4*q, 4*v = 2*q + 2*v + 6. Let h be ((-20)\/(-8))\/((q\/(-1))\/(-2)). Let u = -12 + 17. Solve h*d + u = -0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 32*m**2 + 58*m - 57. Let l be y(-30). Solve -5*b = -l*r - 8, 13*b + 2*r - 3 = 8*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**21\/((a*(a*a**6)\/a)\/a)**40 assuming a is positive.\nAnswer: a**(-240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 + 34. Suppose 0 = -3*o, -2*j + 7*o = 5*o - 6. Solve j*n - 4 = p*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 0.776?\nAnswer: -0.1552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (80\/30)\/(2\/9) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4615 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-5 - -3) - -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/10 - 3*j**3\/10 - 3*j**2\/5 + 4*j\/5.\nAnswer: j*(j - 4)*(j - 1)*(j + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*j + 2*j. Let m be j + 1 + (2 - -2). Suppose 4*d - 5*z + 14 = -6, 2*d - 3*z = -12. Solve -m*s + 25 - 9 = d for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 30*n**2 + 7*n + 311. Let q be k(-30). Solve -3*v = 0, 4*v = -2*i + 93 - q for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2187)*-1 - sqrt(2187)) + 0 + 1 + 6*sqrt(2187)*1 + -3 + (-1*sqrt(2187) - sqrt(2187)) + sqrt(2187))**2 + 1.\nAnswer: -324*sqrt(3) + 19688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggq when three letters picked without replacement from qqgggggggqqggggggg.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 6 - 5 - 7*-1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1059457237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21522.\nAnswer: 2, 3, 17, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 6. Let x = z - 5. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25\/96 - 1\/96. What is the closest to -0.1 in 2\/15, z, 0.3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 29*x**2 - 103*x + 20. Let b be z(24). Let s = b + 10319. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 34*c + 655\/3*c**4 + 405*c**2 + 0 - 5\/14*c**7 - 885\/2*c**3 - 53\/2*c**5 - 23\/3*c**6. Suppose j(a) = 0. Calculate a.\nAnswer: -9, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55818 and 17502.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 + 5)*(-2 - 1 + 5) - 6 + 1 + 1 + (-2 - 1 + 4)*(12 + 7 - 7))*(-3*q**2 + q**2 + 0*q**2).\nAnswer: -44*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14bcc0 (base 14) to base 15.\nAnswer: -e4897","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (110 - 54) + -49 - -11\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 941\/4 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7863.014l to millilitres.\nAnswer: 7863014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*s - 146, 0*h = 4*h - 4*s - 176. Calculate the least common multiple of h and 2.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -8*y**3 + 3*y**2 + 5*y + 4. What is the remainder when 1119 is divided by f(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 127\/636?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = b - 10, -2*h + 7 = 13*b - 12*b. Let d = -10 - -5. Put d, -2, -3, b in increasing order.\nAnswer: d, -3, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10159, -10163, -10167, -10171?\nAnswer: -10175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101 by -1.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 3:42 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44672*k**4 + 5*k + 2127 wrt k?\nAnswer: -536064*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*s + 5*f + 58 = 0, s - f + 46 = 0. Let h = -145\/3 - s. Put -2\/21, -3\/2, h in descending order.\nAnswer: -2\/21, h, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1758 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 40 = -8. Suppose 0 = 10*r - 9*r + s, -3*l = -5*r - 1038. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188440 not equal to 188438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 184 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, -1\/3, 683?\nAnswer: 683","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1106042?\nAnswer: 2, 7, 199, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4.05232km?\nAnswer: 4052320000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5*sqrt(7)*4)**2.\nAnswer: -120*sqrt(7) + 2809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -7. Let f = 154.1 + -156. Let c = f - -2.4. Put -5, c, h in descending order.\nAnswer: h, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*d = 133*d - 754. Let z(h) = -h**2 + 24*h + 65. Give z(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**2 + f - 4*f + f**2 + 2*f as d*f + z*f**2 + q and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3117*b + 4977*b - 1 + 2 + 8320*b to f + u*b and give u.\nAnswer: 16414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-34 - -41) + (4 - 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8194 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**4\/9 - 1491416*u**3\/9 + 2*u**2\/9 + 1491416*u\/9 = 0. What is u?\nAnswer: -745708, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2086031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3, 5, -2\/3349?\nAnswer: -2\/3349","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 1319*a + 37159. Give l(-27).\nAnswer: 1546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - g**2 - 9*g**2)*(2*g**3 + 0*g**3 + 2*g**3) + (6*g**2 - 7*g**2 + 2*g**2)*(0*g**3 - 4*g**3 + 3*g**3).\nAnswer: -33*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 - 143 + 34 + 18*h + 58.\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -42. What is the remainder when q is divided by 468\/63 + -8 - 176\/(-14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3505918016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c**2. Let b(r) = -3*r**2 - 5. Let m(x) = -x**2 - 1. Let p = -58 - -53. Let u(w) = p*m(w) + b(w). Give u(o(t)).\nAnswer: 50*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 141 + -140.892. Let i = m - 0.13. What is i rounded to three decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1213 - -1214. What is the closest to -3 in -1\/16, -3\/7, v?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32027 - 20889. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 196890? (a) -3\/5 (b) 0.4 (c) 5 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-4)\/33)\/((100\/570)\/5) and -41\/1565?\nAnswer: 17215","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2130 divided by -7.\nAnswer: 2130\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 1. Let l(s) = -2*s + 12. Let n be l(8). Let o(c) = -2*c - 2*c**2 + 0*c - c - c + 4. Determine n*p(k) - o(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/7*1*(-28)\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjo when three letters picked without replacement from oqpoyqojjoyy.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rer when three letters picked without replacement from {e: 2, f: 6, r: 7}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = z - 7*s - 225, -2*z = -5*s - 447. Does 22 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 682, 687, 692, 697, 702?\n\"Answer: 5*f + 677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*f - 7 - 5, 0 = 2*y - f - 24. Let t be (-1)\/(1\/30*2). Let x be 5\/(t\/66)*-6. Calculate the greatest common factor of y and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -133 in descending order.\nAnswer: -1, -2, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2952994, 2953272, 2953540, 2953792, 2954022, 2954224, 2954392?\nAnswer: 2954520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxf when three letters picked without replacement from fxffoxffx?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 b, and 1 w when four letters picked without replacement from wwbwbboo?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -7. Let y = k - -16. Suppose g + g - 1 = -w, 2*g + y = -5*w. Solve -i + x + g + 0 = 0, 3*i = -3*x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 l when three letters picked without replacement from {c: 10, t: 4, l: 5}?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-5))\/1 - 20\/50. Suppose 3*q - 1 + 7 = 0. Sort q, 0.2, y.\nAnswer: q, y, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -6*k**3 - 17*k**2 - 31*k - 37. Let b be ((-16)\/6)\/(2*4\/12). Let g(h) = h**3 + h**2 - h + 1. Let r(n) = b*q(n) - 20*g(n). Let r(v) = 0. Calculate v.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3574.26 - -0.48.\nAnswer: 3574.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 229357?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4127.\nAnswer: 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2430, 4861, 7292, 9723?\nAnswer: 12154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*c - 2*g - 716, 2*c + 4*g = 716. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y + 180 = -34*y. Let w be ((-6)\/(-4))\/3 - y\/(-20). Which is the smallest value? (a) -15 (b) -0.4 (c) -1 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.831 - 0.169. Let x be (-2)\/7 - (-29)\/28. Let z = 3.32 - 0.32. Which is the second biggest value? (a) z (b) -21 (c) q (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*6*(sqrt(252)*-2 + -1 + 3).\nAnswer: -72*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.03899122 and 694167.\nAnswer: 694166.96100878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24559, 24557, 24549, 24535, 24515?\nAnswer: 24489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*m = -4, -2*d - 5*m = 3*d. Let s = -233 + 698\/3. Which is the smallest value? (a) 1 (b) s (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/(i*i*i**(-1\/13)*i)*(i\/(i*(i\/i**(-2\/45)*i)\/i))\/i*(i**(4\/21)*i)**(18\/13) assuming i is positive.\nAnswer: i**(-5402\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 14*d - 991. Calculate s(75).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49256 and 21244.\nAnswer: 5565928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*x - 12 = -x, -2*r + 4*x - 12 = 0. Is r less than or equal to -1\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/(-60) - ((-12)\/10)\/3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 403, 46, 23 in increasing order.\nAnswer: 23, 46, 403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -7*m - 15\/2*m**2 + 0 + 1\/2*m**3. Let k be o(6). Solve -2 - k = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 7, 29, 69, 133, 227, 357?\nAnswer: 529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 11:28 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 0 = -0. Suppose 5*a - 120 = 2*n, a + c*a = -3*n + 7. What is the greatest common divisor of a and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 9945?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 12*m + 1738 = 0. Solve m - 82 = 3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8687471 litres to millilitres.\nAnswer: 868.7471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + b - 99 = 0, 3*v - 2*b + 89 = -211. Is (-12)\/v + 125747\/17 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 86597 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1888, -1887, -1886, -1885?\n\"Answer: k - 1889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -10\/3*l**3 + 4*l + 133 + 0*l**4 + 5\/2*l**2 - 1\/6*l**6 + 0*l**5. Find the second derivative of w(c) wrt c.\nAnswer: -20*c**3 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -14*y**3 + 3*y**2 + 4*y - 3. Let a(h) = -42*h**3 + 8*h**2 + 13*h - 8. Let l(z) = -3*a(z) + 8*o(z). What is the second derivative of l(b) wrt b?\nAnswer: 84*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 - 147*b - 11864. Determine i(-53).\nAnswer: 1545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b**3 - 6*b**2 + b + 1. Let i(w) = w**3 - w**2. Let l(z) = -11*i(z) + 2*n(z). Let k = -5 - -5. Let c be l(k). Solve 0 = -u - c*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 17577017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 48, 4, 11 in decreasing order.\nAnswer: 48, 11, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(2\/9*-3). Let q be 1\/3*54\/x. Suppose -7*d = -q*d - 80. Calculate the remainder when 37 is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 4 = -8*y. Solve 7*d + 6 = -y for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833) + -2 + sqrt(2448)*-5 + sqrt(2448) + (sqrt(51)*1)\/sqrt(3) + sqrt(68)\/(sqrt(36) + sqrt(4)) + 3.\nAnswer: -159*sqrt(17)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*l + 36 = 4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51*(-128)\/62016*(-3)\/(6\/4).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399783 is divided by 1342?\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31212?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 20*d + 31. What is the remainder when 548 is divided by u(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 2:28 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3156 and 12?\nAnswer: 3156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 10*f**3\/3 - f. Let t(h) = -h**2. Determine z(t(d)).\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/i**(-4\/13)*i*i\/(i**(4\/9)*i*i) assuming i is positive.\nAnswer: i**(218\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/(g*g**(-1\/5)*g*g))*(g*g*(g**(1\/9)*g)\/g*g*g)\/g)\/((g**(-6)*g)\/g*g**(-5)))**34 assuming g is positive.\nAnswer: g**(27404\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, 39, 16184 in decreasing order.\nAnswer: 16184, 39, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -365*f**8\/336 + 353*f**4\/24 - 490*f**2. What is the second derivative of k(w) wrt w?\nAnswer: -7300*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(2\/15))\/(p\/(p*(p\/(p\/(p**(-1\/5)*p)*p))\/p)))**(1\/9) assuming p is positive.\nAnswer: p**(-1\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*y**5\/5 - 3*y**4 + 2*y**3\/5.\nAnswer: y**3*(3*y - 2)*(6*y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1212037 is divided by 404005?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 3. Suppose 16*u - 147 = 141. Suppose u = -7*o + 67. Is h(o) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.1 - -2.42. Let j = -1.62 + s. Let v = 0.7 - j. Sort 4, -0.07, v in descending order.\nAnswer: 4, v, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 49? (a) -2\/3 (b) -4 (c) 49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 123849.66 months in centuries?\nAnswer: 103.20805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2 - 125*s + 856. Calculate b(7).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1196479 - 1196633.9874. Let r = d - -155. Round r to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 2*k**2 + k - 2. Let v be w(-2). Let d be 8\/v*(-26)\/4. Solve l = 4*u - 17, 6*u + d = -5*l + 2*u for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -104 + 148. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.316938 millennia to centuries.\nAnswer: 23.16938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891)*2 + sqrt(891) + sqrt(891))*-4*-4)**2 + 6*(sqrt(1100) + (-2 + sqrt(1100))*4).\nAnswer: 300*sqrt(11) + 3649488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96 (base 12) to base 3.\nAnswer: 11020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**22)\/(w*w\/(w\/w**(16\/5))) assuming w is positive.\nAnswer: w**(94\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -33) + -98 + 5 + 14 + -4?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38 - -1) + (2635 - 2673) - -7?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 87, 140, 213, 312, 443?\nAnswer: 612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 83723 or 83725?\nAnswer: 83725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76 + -34. Suppose 0 = -6*b + g - 6. Let d be (-640)\/b*-1 - (-88)\/66. What is the greatest common divisor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 452910 rounded to the nearest ten thousand?\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from {p: 1, r: 2, x: 1, u: 1, k: 2, v: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3258.4 - 5.\nAnswer: -3263.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7138 - -7134. What is the nearest to 9.4 in f, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -5*s**4\/12 - s**3 - 2*s - 7. Let w(l) be the first derivative of n(l). What is the second derivative of w(m) wrt m?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/6460 and -101\/16150?\nAnswer: 32300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/125103 and 14\/228129?\nAnswer: 3878193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4.1 times 0.8\nAnswer: 3.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -80\/297 and -32\/117.\nAnswer: 3861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*f + 1 - 4 + 4*f)*(-2 + 1 + 0) to x*f + w and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9, 4, 35, 90, 175?\n\"Answer: j**3 + 3*j**2 - 3*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j - 15295. Let c(m) = -m - 5. Give z(c(h)).\nAnswer: 2*h - 15285","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2280834 to 3 decimal places.\nAnswer: 0.228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + (sqrt(405) - -1*(-3 + sqrt(405)) - (sqrt(405) + (sqrt(405) - (sqrt(405)*3 + sqrt(405))) + -1)) + 5)**2.\nAnswer: 144*sqrt(5) + 6481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3605 at most as big as 3604?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/10 and -19\/1966.\nAnswer: 9830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bt when two letters picked without replacement from ubfutbot?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*n = -106*n - 9. Factor 5*g - g**2 - 1 + 10*g**n - 11*g**3 - 2.\nAnswer: -(g - 1)**2*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 251 and 1004.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -2*o + 5*m, -4*m = -2*o - 3*o - 36. Let j be (o - -1)\/(5\/10). Let i(p) = -4*p - 2*p - 7*p**2 + 7 + 2*p - p**3. Calculate i(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = s + 24. Let o = s + 13. Solve -2*b + 4*b = -o*c - 35, 20 = c - 5*b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-2*6\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 16 - (-39 + -5 + -39) - 14.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Suppose -303*g - 131 = -304*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a0 + 2?\nAnswer: a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 6, 11 in increasing order.\nAnswer: 0, 5, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/((-45)\/(-6)))\/(44\/220). Factor 9*v**q - 15*v + 11*v - 13*v**2 + 2*v**2.\nAnswer: -2*v*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.033764979 + -1.1.\nAnswer: -1.066235021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1048*s**2*t**4 + 2*s**2*t - s**2 + 6*s*t**2 - 5*s*t + 20581*t**3 - 5556*t wrt t?\nAnswer: -25152*s**2*t + 123486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -15*o - 5. Let n(z) = -15*z - 6. Let f(u) = -u**3 + 29*u**2 - 57*u + 77. Let w be f(27). Calculate w*n(y) + 5*c(y).\nAnswer: -15*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003048 rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zd when two letters picked without replacement from bzzzzzatdtt?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.7 at least 96.402?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 40673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*u = 2 - 0, 3*u + 6 = 0. Let s(q) = -2*q + 5 + 9*q - 4*q - 4*q. Let w be s(9). What is the second biggest value in w, l, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, -39, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -27*h. Suppose -5*l + 5 = 0, 0 = b - 5*b - 5*l + 13. Let c(f) = 6*f**2 + 3*f**2 - 5*f**2 - 3*f**b. Calculate i(c(x)).\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 1)*(-10*m + m + 4*m).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24867 and 614.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 219 (b) 1 (c) -2\/5 (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 992965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -13*z + 4*z - 12 + 0 - 4*z**2. Let w(i) be the first derivative of 3*i**3 + 19*i**2\/2 + 25*i - 40. Let p(f) = 7*b(f) + 3*w(f). Factor p(d).\nAnswer: -(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {d: 1, t: 13, j: 3, i: 3}?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 10 - -6 - -11\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.7 and -213985.\nAnswer: -213985.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7019\/151 or -45?\nAnswer: -7019\/151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*t + 25*d - 22*d, 0 = 4*t + 6*d + 14 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wivw when four letters picked without replacement from {v: 7, i: 8, w: 3}.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15528 less than 15532?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 8*b**2 - 4*b - 2. Let t be y(6). Let j = 3718\/7 + t. Solve -j*o**3 - 8\/7*o - 2\/7*o**4 - 2\/7 - 12\/7*o**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74.8507+0.2\nAnswer: -74.6507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96823*z**3 + 0*z**2 + 0*z**2 - 96804*z**3.\nAnswer: 19*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 240 - 712 + d - 9*d as a + h*d and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1775)\/20*(2\/30)\/(-1) and 34\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4643453*3\nAnswer: 13930359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t*t*t**0*t)))\/(t**(-4)*t))**(-17) assuming t is positive.\nAnswer: t**(-102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/7, 1, 0.92, -1\/3, -9, 3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6381454 or 6381456?\nAnswer: 6381454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2 (b) -18 (c) 5 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdtc when four letters picked without replacement from {t: 5, c: 4, d: 7}.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -26, 1.\nAnswer: -53, -26, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 138271126 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 5760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11380 or 11379?\nAnswer: 11380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, w: 1, a: 2, d: 2, b: 1}. Give prob of picking 2 a and 1 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6}. What is prob of picking 3 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11720594 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*x - 326 = 62*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 145 - 209. Let g = m - -86. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -1) + 1 + 2 + -274 + 261?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one quarter of a week?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/32 + 31\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**3 - 16*s + 30 + 4 - 18*s - 4*s**3 + 33*s as p + i*s + o*s**2 + r*s**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c - 87*c - 56*c + 312 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(4)\/sqrt(2)))\/(5*sqrt(7)*-2 - sqrt(7)) + -5 + 0.\nAnswer: -5 - sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5010 times -695?\nAnswer: -3481950","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -11*q + 3. Let b(y) = -30*y + 275. Let c be b(8). Let z(x) = -133*x + 35. What is c*h(m) - 3*z(m)?\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g - 3 + 1 + 3. Let u(t) = -t + 7. Suppose 2 - 1 = 2*n - k, 3*n + 15 = -4*k. Calculate n*u(j) + 6*w(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**3*q**2 + f**3 - 2*f**2*q + f - 34087*q**4 - 161*q - 44 wrt q?\nAnswer: -4*f**3 - 409044*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12791, -25178, -37701, -50360, -63155?\n\"Answer: -68*f**2 - 12183*f - 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1695 and 27120.\nAnswer: 27120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -69 - 23. Let c = -66 - a. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5 - 2272897*v**4 + 18183093*v**3 + 43184881*v**2 + 22728890*v = 0. Calculate v.\nAnswer: -1, 0, 10, 2272889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.87218 years to centuries.\nAnswer: 0.9987218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 2:43 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 14*l**2. Calculate the remainder when -2*((-265)\/2)\/5 is divided by j(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (4 - 374427)\/(-7) - 7\/(1\/1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2*(sqrt(136) + 1*sqrt(136)) - sqrt(136) - sqrt(136) - sqrt(136) - sqrt(136)) + sqrt(136) + -3*(sqrt(136) + sqrt(136)*-1))\/((3*sqrt(768))\/sqrt(6)).\nAnswer: -sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*h = 3*n - 8*n - 39*h + 13, 4*n - 2*h - 30 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75 - 87 - 70\/(-6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*v - 9*v**3 + 1 + 38*v + 2 + 2*v**2 - 1 as w*v + c*v**2 + t*v**3 + k and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 101110111100001000?\nAnswer: 101110111100000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -39 + 132 - 7*f - 11*f + 16*f in the form g + z*f and give g.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1762253*6.3.\nAnswer: -11102193.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3222 + -1220?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1052, 1053, 1056, 1061, 1068, 1077?\n\"Answer: c**2 - 2*c + 1053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**4\/4 - d**3 + d**2 - 6. Is x(5) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hcu when three letters picked without replacement from vuwwhuvwwuc?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1339*w + 990266*w**2 - 990271*w**2 - 332820 - 1241*w = 0. Calculate w.\nAnswer: -258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/13 (b) -10\/3 (c) -519 (d) 2\/57 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -19. Solve -4*v - 4 = 2*x, -3*x + 3*v = -0*v - j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11485 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h\/((h\/(h*h\/(h\/(h\/(h*h**2*h*h)))*h))\/h))\/h)**(-5\/17)\/((h*h**(-2\/15)*h*h)\/h**(-1\/9)) assuming h is positive.\nAnswer: h**(-2053\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45721665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 o when three letters picked without replacement from {g: 5, o: 5, x: 2}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001382 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 33014901824888.\nAnswer: 33014901824891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 - 484*d**3 - 3.\nAnswer: -484*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1805 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 7*b**4\/12 - 3*b + 2. Let k(h) be the first derivative of l(h). Let c(a) = -a. What is k(c(d))?\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 412345, 824619, 1236895, 1649173?\n\"Answer: t**2 + 412271*t + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5 - 8*q**4 - 57*q**3 - 100*q**2 - 52*q.\nAnswer: q*(q - 13)*(q + 1)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + 1 + (-7)\/((-28)\/12). Let o be (-5)\/(5\/(-2))*1. Solve j = 3*z + i - o, 4*z - 3 = 2*z - i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23800 less than -50130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(36\/9 + (-6)\/2). Sort r, 2, -6.\nAnswer: -6, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 143*a**2 + 5*a - 5. Let x = -183 - -178. Is m(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35030556 and 11880?\nAnswer: 350305560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71 + 72. Put 7, q, 0, 4 in descending order.\nAnswer: 7, 4, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 2 (b) 9489 (c) -0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2313 + -2305. Let w(q) = -12*q + 20. Let i(l) = 35*l - 61. Let m(d) = -2*i(d) - 7*w(d). What are the prime factors of m(v)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 - -28. Suppose x - 17 = -5*q, 7*x - q - 7 = r*x. Suppose x*s - 4*f = 156, s + 0*s - 5*f - 93 = 0. List the prime factors of s.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -289\/3, 5, 0.03, 3\/4.\nAnswer: -289\/3, 0.03, 3\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -726\/233, -5, -0.1346?\nAnswer: -0.1346","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 539269 or 0?\nAnswer: 539269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 2*u + 2*v + 53, -5*v - 2 = 2*u. Calculate the remainder when 25 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 9*c - 20. Let s be -12*c\/(-45)*1047\/2. Does 15 divide 3 - ((-1)\/(-4) + s\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/15 - 1772212*u\/15 + 23038418\/15.\nAnswer: 2*(u - 886093)*(u - 13)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 1. Suppose -3*g = -3 - r, -8 = 2*s - 3*g. Let d = s - -4. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-4)*9\/108)\/((-6)\/16)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*t - 26*t + 10*b = 5, 20 = -4*t + 5*b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 138\nAnswer: 5\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 188 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1778688 divided by -386?\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000167692572 to 5 decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 392 and 216?\nAnswer: 10584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbxlvrpbpbllpx. Give prob of sequence br.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - (-18 - -30)) + 17\/(-3).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -748 + 747. Let r(h) = 2*h**2 - 6*h - 5. Let a be r(i). Solve -5*y = a*s - 13, 2*s = 4*y - 7*y + 7 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 + -27. Suppose -j*u + 273 = -29*u. Suppose -4*z = 5*t - u, -5*z + 8*t + 59 = 4*t. What is the remainder when 41 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2728 - -0.0272. What is the fourth smallest value in 21, -3, 2\/11, o, -2\/13?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pouooolow. Give prob of picking 3 o and 1 l.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 3, 967, 1 in ascending order.\nAnswer: -4, -2, 1, 3, 967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 38*z**4\/3 + 397581*z**3 - 1224170*z**2\/3 + 10463*z = 0?\nAnswer: -31389, 0, 1\/38, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*b + 86*b + 111*b + 124*b + 74*b - 678*b.\nAnswer: -138*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, 0.09, -394 in descending order.\nAnswer: 68, 0.09, -394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 6:19 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3)*(-18)\/(-4)*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -0.1 (b) 2\/15 (c) 1 (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 30*f**2 + 14*f + 18. Let k(v) = -2*v**2 - v - 2. Calculate 10*k(h) + u(h).\nAnswer: 10*h**2 + 4*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24\/10)\/((-54)\/(-540)). Put -3, 4, q, -2 in increasing order.\nAnswer: -3, -2, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 32\/7 of a week?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/16? (a) -0.3 (b) 4 (c) 2\/4489\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6929 is divided by 3461?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 5*y - 19 = -3*y, -h - 5*y - 3729 = -3685 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/81432 and -77\/9048?\nAnswer: 81432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 4*h**2 + 220064416*h + 3026771699338816 = 0.\nAnswer: -27508052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*a - 80 - 116 = 8*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-510)\/(-54)*384\/(-320).\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 10 = 18. What is the highest common divisor of 70 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20598431 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/2 - 12539139*z\/2.\nAnswer: z*(z - 12539139)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29006, -29011, -29020, -29033?\nAnswer: -29050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3326.32 - -2049.33. Let v = -1223.5 - h. Let z = v + -53. Round z to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -170448 or 0.0255?\nAnswer: 0.0255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3219 + 3182. Are 4\/3 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -631, -651, -707, -817, -999, -1271, -1651?\nAnswer: -2157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 44*a + 33. Give q(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 773247*w - 5934850 wrt w.\nAnswer: 773247","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 6) to base 13\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*u = 3*y - 12, -3*y + 2*u + 24 = 0. Solve y = -5*l + 8*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3449.7 minus 0.2?\nAnswer: -3449.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r - r**2 - 2*r)*(5 - 24 + 6) + 345*r**2 + 212*r**2 - 1073*r**2 to b + m*r**2 + l*r and give m.\nAnswer: -503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 435 and 6815?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**5 - 475*u**4 + 18050*u**3 - 342950*u**2 + 3258025*u - 12380495.\nAnswer: 5*(u - 19)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -121, 1, 2\/21, -0.4, -1\/4.\nAnswer: -121, -0.4, -1\/4, 2\/21, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21686068?\nAnswer: 2, 19, 285343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 3 = -5*z + 8, -2*q - 18 + 48 = -20*z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17329 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 740 and 444?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 28) + 11 + 27 + 15?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 2*s + 7 = x, 4*s = -2*x + 38 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**2*o**3 + 3*f**2*o**2 + 998*f**2 + 3*o**3 + 1587*o**2 + 2*o wrt f.\nAnswer: 2*f*o**3 + 6*f*o**2 + 1996*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5167.14 + -4732. What is s rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 3*a - p - 77, 2*a + p - 97 = 0. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1, -0.2, -14\/13, 2\/11, 5.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 2*k**2 + 5*k - 2. Let y be z(3). Let r(d) = d + 1. Let u be r(y). Solve u*o + 14 + 11 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/23650 and 59\/12900.\nAnswer: 141900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -5*v**3 + 11721175*v**2 - 105490270*v + 234422600 = 0.\nAnswer: 4, 5, 2344226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -34. Let y be ((-15)\/4 - -3)*o. Let n be 6\/(-52)*y\/(-9). Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -329460103\/16 - -20584503. Let f = k - -6756. What is the common denominator of f and 3\/7 + (-10356)\/7896?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 2, -0.4, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 divided by 6?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) - (0 + sqrt(304) + sqrt(304) + -3))*-1 + 3)**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4 = -8. Let r be (-4)\/y*-18 - 0\/2. Let k be 4\/r + 1\/((-12)\/(-160)). What is the highest common divisor of 336 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 4:53 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 - 33. Calculate the remainder when 43 is divided by i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 42\/5 of a meter?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/105 and 167\/83521914.\nAnswer: 417609570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/5)\/((-24)\/(-40)*-2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*-2 - sqrt(162))**2 + 3 + 6*sqrt(2) + -1.\nAnswer: 6*sqrt(2) + 1460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 222465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -462*d**2 + 233*d**2 + 235*d**2 - 174*d as y + q*d + l*d**2 and give q.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 134 + -134. Suppose -3*z + 0 = -6, -16 = -2*x - 5*z. Suppose -16 + 4 = -4*q - 3*l, 5*q - 15 = l. Solve 2*u + x*a - 14 = -a, -q*a + 9 = w for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23043?\nAnswer: 3, 7681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12352\/(-43183) + (-72)\/(-252). Let w = o - 425633\/86366. Calculate the common denominator of w and 22\/49.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/g**(10\/7))\/g**7)**(14\/9))**(-50))**(31\/2) assuming g is positive.\nAnswer: g**(80600\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2. Let l(t) = t**2 + 7*t. Determine l(w(f)).\nAnswer: f**4 + 7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 - (-76 + -15) - 29?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 14) in base 2?\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2213*y = 2205*y + 64. Let f(a) be the first derivative of -y + 0*a**2 - 8*a + 2\/3*a**3. Factor f(s).\nAnswer: 2*(s - 2)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (162130 - 162133 + 16*n + 5*n)*(-n - 2*n + n) + 0*n**2 - n**2 + 0*n**2.\nAnswer: -43*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 - -75. Suppose 97 = 5*r - x, 4*x - 60 = -3*r + 12. Suppose a + 18*h - 4 = r*h, 0 = 4*a - h - 23. Calculate the remainder when z is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5023002485 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m + 1. Let c(t) = -3 + 6*t - 3*t + 7 - 4*t. Let k be c(0). Let f be -3 + k\/(-8)*-8. What is l(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.37 - -1.97. Which is the closest to -1\/5? (a) 3 (b) s (c) 2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -2400, 3, 45, -3, 7 in increasing order.\nAnswer: -2400, -5, -3, 1, 3, 7, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 6. Let d be r(5). Which is smaller: -2 or d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40 - -327. Let x = b + -284. Solve -d + 6 = x for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = 2*m. Let k be m\/(-6) + 147\/9. Let d(w) = -w**3 + 17*w**2 - 16*w. Let s be d(k). Which is the smallest value? (a) 0.1 (b) s (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/58 and 109\/3514.\nAnswer: 101906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 5*q - 7. Let k be g(-6). Suppose i - 7 = -2*a + 4*i, a + 5*i - 36 = 0. Let l be 1 + -1*a\/7. What is the nearest to k in l, 1\/5, -4\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/810*-10 + 28\/(-180)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 72.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2226 and 41886516.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -509*b**2. Let c = 299 + -229. Let q(f) = -c*f + 127*f - 59*f. Calculate q(d(l)).\nAnswer: 1018*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 1.25183?\nAnswer: 1.25183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + t**2 + t + 30. Suppose -28*k + 25*k = 0. Does 30 divide o(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 282 = -6. Let w = 132 - -39. Suppose -2*t + w = -m. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20 or -83?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - b + 2)*(-16*b**3 + 7*b**3 - 10*b**3) - 6*b**4 + 0*b**4 - 2*b**4 + (b - 2*b**3 - b)*(3*b - b - 3*b).\nAnswer: 13*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + i + 3 + 0 + 0 + 0 + 4*i + (-4 + 4 + 1)*(-3*i - 3*i + 4*i).\nAnswer: 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(49)\/(sqrt(7) - sqrt(343)).\nAnswer: -4 - sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zrz when three letters picked without replacement from {r: 15, z: 3}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1436, 1386, 1300, 1178, 1020?\nAnswer: 826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -5*n**3 - 1\/5*n**5 - 226 + 0*n + 31\/4*n**4 - 5\/2*n**2. Find the third derivative of d(y) wrt y.\nAnswer: -24*y + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 341 + -3. Let l = r + -235. What are the prime factors of l?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -546*p - 11764 = -233*p - 29*p + 62*p for p.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from objwob. What is prob of picking 2 b, 1 w, and 1 o?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1836)*-1)\/(sqrt(3) + (1*sqrt(300) - sqrt(300))).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 4*o = 16, 67*o = 7*p + 123*o - 62*o - 34 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 19*x + 4 + 13*x - 4 - 45*x to the form y + b*x and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 202\/(-54) + (-26486)\/(-102) + -256?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*n + 195, 8*n - 231 = 3*n - 2*x. Calculate the greatest common factor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 + -13 + 1728\/16. What is the nearest to -1 in -0.5, s, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 4901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 0 + -4 + -5. Let d(w) = -w**2 - 4*w + 5. Let v be d(-4). Let b(k) = 4*k + 2*k + v - 4*k**2 + 5*k**2. What is b(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 841.2781 centuries in decades?\nAnswer: 8412.781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 321 divide 1839972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1569, 3695, 5821, 7947, 10073?\n\"Answer: 2126*l - 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - l + 4*l)*(-l**2 + 0*l + 0*l)*(0*l + 2*l + 0*l - 1).\nAnswer: -4*l**4 + 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 4*l + 8. Let s = -121 + 125. Let r be 0 + -3 - s\/1. Determine b(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/22752 and 77\/381096?\nAnswer: 1524384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-2)\/(8\/28). Let b = 15 + q. What is the greatest common factor of b and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 5*q = 5*q. What is the nearest to -5\/2 in q, 3, 1\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*1*((-24)\/4)\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17102052 is divided by 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -159\/316030 and 1\/88545860.\nAnswer: 974004460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**4\/3 + 7*k**3\/6 - 3*k**2 + 44*k - 2. Calculate the remainder when g(2) is divided by (-2)\/1 + 1*15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -13*v - 118. Let w be i(-9). What is the hundreds digit of 2\/(-4)*(w + -1355 + -10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) - (sqrt(1331) - (sqrt(1331) + ((1*sqrt(1331))**2 - sqrt(1331))*6))) + 4 + 5 + -3.\nAnswer: -55*sqrt(11) + 7992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 31*y + 280 = 0. Suppose 0 = -3*v + y*n - 18*n - 17, -20 = 4*n. Suppose 5*r = 2*i - 7*i + 10, -2*i = -3*r - 4. Solve v = -k + i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b. Let f(v) = 312*v - 113. Determine f(x(s)).\nAnswer: -312*s - 113","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 78*g + 1170. Let y be s(-15). Solve y = -6*c + 74*c + 136 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17392409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8791067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -295, -419, -635, -949, -1367, -1895, -2539?\n\"Answer: -n**3 - 40*n**2 + 3*n - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -39e1e (base 15) in base 11?\nAnswer: -117352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -3\/4 (b) 4 (c) -4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**11*(u**(-1\/5)*u)\/u assuming u is positive.\nAnswer: u**(-51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -22107, -177170, -598149, -1418004, -2769695?\n\"Answer: -22160*i**3 + 2*i**2 + 51*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -164982, -330195, -495408, -660621, -825834, -991047?\n\"Answer: -165213*n + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4*c - 16 = 0, -3*b + 17 = -5*b + 3*c. Let k(t) = 3*t**2 + 140*t - 140*t. Calculate k(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a - -355?\nAnswer: 34a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367400.\nAnswer: 2, 5, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 13, 9, 5, 1, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 374*y**2 + 30821*y. Let x(o) = 4*o. Give m(x(k)).\nAnswer: 5984*k**2 + 123284*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, f: 5, j: 6, x: 1, z: 4, d: 1}. Give prob of sequence fwwf.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4677828?\nAnswer: 2, 3, 389819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -732599293 by -1748447.\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**4\/12 + f**3 + f**2\/2 + 2*f. Let v be y(6). List the prime factors of (11\/2)\/(v\/2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12 (b) 4 (c) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 2*s**2 - 3*s. Let i be n(3). Suppose 0 = -a - 3*o + 10, a + 0*a + 4*o - 8 = i. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 13230?\nAnswer: -13224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 5)*(-3*l + 5*l + 0*l) + 11*l + 24*l - 26*l - 57 + 6*l - 2*l - 3*l.\nAnswer: 12*l - 57","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1883.577 millennia to years.\nAnswer: 1883577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/50390195 and -89\/7968682.\nAnswer: 1713266630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyten. What is prob of sequence ote?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 + 0)*(2*p - 3*p + 2*p)*(-3 + 4 + 5).\nAnswer: 30*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.070117 rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42635?\nAnswer: 5, 8527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -734, -1480, -2226?\nAnswer: -2972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13605 + -6?\nAnswer: -1360b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55.65 + -57. Let j = 95.45 - m. What is j rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1469? (a) -2\/3 (b) -4 (c) -3\/7 (d) -1\/3 (e) 1\/8 (f) -450\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/5*x**3 + 16\/5 - 6\/5*x - 9\/5*x**2 = 0. What is x?\nAnswer: -8, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 3*c + 8 + 8 - 14 + 4.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 30 = -5*d, 4*d - c - 14 - 7 = 0. Calculate the smallest common multiple of d and 34.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x - x + x**2 + 3*x)*(1 - 3 - 2)*(-2*x + 2*x + 4*x) + 57*x**3 - 6*x**3 - 48*x**3 + 197*x**2 as s*x**3 + r + y*x**2 + g*x and give s.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n**3 - 54*n**2 - 5*n - 40. Let q(w) = 2*w**3 - 27*w**2 - 2*w - 20. Let z(b) = 3*g(b) - 7*q(b). What is the remainder when z(-27) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 820488 and 44.\nAnswer: 9025368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 478 - 487. Suppose j = -2*o + 7, -1 = -j + 3*o - 4. Sort j, -3, s in decreasing order.\nAnswer: j, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33553788?\nAnswer: 2, 3, 199, 14051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 1475\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2178.33562 to zero dps.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 2147.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 77 = 3*p, 0 = -2*z - 4*p + 46 - 10. Let u = 19 - z. Which is smaller: 4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 - k**3 + 0*k**3)*(-2 + 3 - 3)*(-2*k + 3 - 3)*(6*k - 9*k + 2*k).\nAnswer: 12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 12:02 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**3\/3 + 3799966*o**2\/3 + 3609935400289*o\/3 = 0.\nAnswer: -1899983, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 125 = 4*z - 93, 0 = a + z - 1 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - 4)*(-5214)\/21 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 22.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 304801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -194, -20, -7, -68 in descending order.\nAnswer: 0, -7, -20, -68, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 335107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*y**2 + 80*y**2 + 48*y**2 + 194*y**3.\nAnswer: 194*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*x**2 + 161\/6*x - 53\/3.\nAnswer: -(x - 53)*(3*x - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -6. What is the closest to b in -1, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10202 (base 3) to base 13.\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 122996 = i. Suppose -4*t - 3 = 2*d - t, -4*t - 18 = -2*d. Suppose -d*f + 2504 = -u - 22093, 4*f - i = 5*u. Round u to the nearest one thousand.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 1403*p + 49369. What is x(-34)?\nAnswer: 1667","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/75)\/((-1)\/(-5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 12:52 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4654 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5062447190?\nAnswer: 2, 5, 43, 79, 149027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/2)\/(36\/216). Suppose 5*o - 372 = -a, g*a - 2*o = 1270 - 137. List the prime factors of a.\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - k**2 + k + 1. Let q = -19858 - -19867. Let s(f) = 6*f**3 - 3*f**2 + 3*f + 3. What is q*z(n) - 3*s(n)?\nAnswer: -27*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 75*u - 77*u + 58, -u - 1 = 0. Let x be (1 - 0)\/(1\/3). Let s = x - -9. What is the greatest common divisor of s and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -47 - -16 - -41 - (0 + -72608)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 202021011323?\nAnswer: 202021011313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, -4\/187, 2\/5, 0?\nAnswer: -4\/187","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 763584 and 3129899.\nAnswer: 3977","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 j, and 1 s when four letters picked without replacement from {k: 7, j: 5, s: 1}?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(110) + ((sqrt(110) + (sqrt(110) - (sqrt(110)*-1 - sqrt(110))))*-4 - sqrt(110)))\/(sqrt(90)\/(sqrt(9)*-1)).\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-51603)\/(-6)*-4 - -2. Round f to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5754962 from -7370407.\nAnswer: -13125369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1062 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (147*29\/4466)\/((-6)\/(-11)) and (1\/25*-82)\/8.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -11358*p + 113582. Give g(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 324*d**2 + 6918*d + 963. Give z(301).\nAnswer: -542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-4)*(0 - -2). Suppose -r - 41 = -3*r + h*f, 4*r - 72 = 4*f. Calculate the highest common divisor of 39 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57895979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25757267 or -25757268?\nAnswer: -25757268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.011 - -13.789. Let t = b - 13.17. Let p = t + 2.37. What is the nearest to -1 in p, 5, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(-6 + 6 + 6*z)*(1 - 3*z - 1).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -20453, 12, -0.5, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + -1 + (6 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 48 = -49 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6404*o**3 - 47636*o**2 + 810647793 wrt o.\nAnswer: 19212*o**2 - 95272*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 16137?\nAnswer: 16132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*d**3*s**4 + d**3*s**2 + 13*d**2*s**6 + 160*d**2*s**2 wrt s?\nAnswer: -144*d**3*s + 1560*d**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -201, -269, -311, -327, -317, -281, -219?\n\"Answer: 13*j**2 - 107*j - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/51 and 109\/24.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 + 195\/52)*4720\/(-6). Calculate the greatest common divisor of 30 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-6)*0\/1. Let y = -2.0095 - -0.0095. What is the smallest value in d, y, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29024669\/57342 + -10\/9557. Let a = 515 - h. What is the common denominator of a and 48\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166, -218, -270, -322, -374?\nAnswer: -426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5771 + -5667. What is the third smallest value in 18, 2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -1597, 10 in ascending order.\nAnswer: -1597, 10, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -119572381*a**3 - 2409125*a - 2 wrt a?\nAnswer: -717434286*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7 - 0.2. Let y be (-3)\/(1\/1 - 3). Let p be -5 + 3 - 5\/(-4). Which is the second biggest value? (a) w (b) p (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*9\/72*-4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*x**3 - 90*x**2 - 439?\nAnswer: -12*x**2 - 180*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 5. Let h(a) = a - 6. Let d(s) = -5*h(s) - 6*r(s). Let w(p) = 2*p. Let l(y) = -5*d(y) + 2*w(y). Let q(j) = 2*j**2 + 4*j - j - 3*j. Give l(q(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-6)\/(-108)*6). Let c be ((-20)\/13 - 1) + k. Find h, given that -2\/13*h**2 - 4\/13*h + c = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 286.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a kilogram in grams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/24*1800\/(-525) - (-40)\/(-35)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43327512?\nAnswer: 2, 3, 601771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -170, -143, -102, -53, -2, 45, 82?\n\"Answer: -y**3 + 13*y**2 - 5*y - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 104*a**2 - 17*a - 1. Let r(i) = i**2 - 3*i - 1. What is g(w) - 5*r(w)?\nAnswer: 99*w**2 - 2*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 4*i - 18 = 0, -8*c = 2*i + 12 - 38 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xy when two letters picked without replacement from nvyxy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vanaaiaiiivn. Give prob of sequence nnii.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 12. Suppose -2*w - 875 = -b*w. Suppose -8*u + w = -3*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-6))\/((-1)\/6). Suppose 9 = k*c - 3. Is c a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 + -1.5. Which is the nearest to 0? (a) -4 (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 n when two letters picked without replacement from {d: 4, e: 2, i: 2, n: 2, y: 3}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6484 is divided by 1079?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + -16. Let f = -1 + p. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j = 2*j + 90. Differentiate 2*y**4 - 39*y + j*y**2 + 82*y + 111 - 43*y with respect to y.\nAnswer: 8*y**3 + 20*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92897 is divided by 92864.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004163646 to six decimal places.\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -16*a**2 - 3*a + 2*a - a**3 - 7 - 3*a**2 + 9*a**2. Let t be d(-10). Solve -h - 11 = -4*n, -t*n + 12 = -0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13\/10? (a) 1\/6 (b) 3\/4 (c) 15\/2833\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_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: Sort 1, -60, 50763 in descending order.\nAnswer: 50763, 1, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-24)\/2)\/(-3)*1. Let j(b) = -5*b - 5. Suppose -12*o + 9*o = 0. Let v(l) = 0*l + 4 + o*l + 4*l. Give k*v(d) + 3*j(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 - -8)*501\/30. Let n = u + -34. Which is the fourth biggest value? (a) 5 (b) 2\/3 (c) -1\/6 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i - i + 2*i + 55 - 83 + i. Calculate x(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.6 + -0.3. Let j be ((-2)\/(-4))\/(15\/(-30) + -1). What is the nearest to j in a, -1, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 212\nAnswer: 42.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -3*y**2 + 48*y + 1995 = 0.\nAnswer: -19, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 6089688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, l: 16, f: 1}. What is prob of sequence hf?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 8. Let v = -49967 + 5946165\/119. Let z = v - 18\/17. Which is the closest to -2\/5? (a) 2 (b) x (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3637653 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1504.6 rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2079 = -4*c, 11*c + 3*b + 541 = 12*c. Suppose 0 = -y + 2*y + 5*q - 289, -3*q = -2*y + c. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 945 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*5*(sqrt(468) - (sqrt(468) + (sqrt(468) - (sqrt(468) + 3)))))**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {i: 4, o: 9, d: 1}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**2\/3 - 390946*g\/3 = 0.\nAnswer: 0, 195473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/170 and -89\/16.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 4*s - 1. Let a be z(2). What is the remainder when 7\/((-3)\/(a - -2)) is divided by (20\/6)\/((-2)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 7*a**2 - 9*a + 11. Let j be r(8). Solve 6 = -g + j*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 755173171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109956396.\nAnswer: 2, 3, 11, 73, 11411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 45*q**3 + 1239*q**2 + 24930*q + 115841. Let i(b) = -8*b**3 - 248*b**2 - 4986*b - 23168. Let y(v) = 2*d(v) + 11*i(v). Factor y(z).\nAnswer: 2*(z - 143)*(z + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1003 - 972 - 2*z + 2216 in the form g + p*z and give g.\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33.2465 - -33.3. Let h = 0.053500302 - u. What is h rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 130 - 115. Put u, 0.1, -3, 6 in descending order.\nAnswer: 6, 0.1, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 7:17 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = o + 5982*x - 5985*x, 4*x - 2 = -2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*g - 22*g**3 + 53*g**2 - 29590 + 95*g + 29590.\nAnswer: -22*g**3 + 53*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 59708 = -3*l, -4*l = -2*h + 12659 + 106747. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**3\/6 - 2*n. Let d be -2 - -1 - (-3 - -2). What is m(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 212300*c**3*x**3 - 2*c**3*x**2 + 2*c**2*x**2 + 316485*c**2*x + 2*c*x**6 wrt x.\nAnswer: 1273800*c**3 + 240*c*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 836374289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f**3 + 827*f**2 - 5673*f + 902. Calculate b(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*d**3*g*t**2 + 21*d**3*t**2 + 169*d**3*t - 3*g*t**2 + 114*g*t wrt t?\nAnswer: 28*d**3*g + 42*d**3 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173336*h = 173279*h + 456 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 93628*x - 2191550596.\nAnswer: -(x - 46814)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -3\/11, 1 in decreasing order.\nAnswer: 1, -3\/11, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 15*d. Let f(o) = -86*o**2 + 88*o**2 - 1 + 1. What is q(f(n))?\nAnswer: 30*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2*238214858\nAnswer: -476429716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7346*l + 103214. Calculate r(-14).\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from qqqqyyqhyyqyqhqhy.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**2 - 23*h. Let o(z) = -13*z. What is m(o(l))?\nAnswer: 507*l**2 + 299*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 192392840 to the nearest 1000000.\nAnswer: 192000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + (-4 + (sqrt(8)\/sqrt(4))**2 - (sqrt(2) - (-3*(sqrt(2) - (sqrt(32) + sqrt(2))))**2)) + sqrt(12)\/(sqrt(6) - sqrt(24)*-1)).\nAnswer: -1716 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**2. Let n(z) = -z + 1. Let s(q) = -15*q - 5. Let a(i) = -20*n(i) - 4*s(i). Calculate a(b(x)).\nAnswer: -240*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31839 + -31839.0000012419. What is k rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 11:07 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2914 - 2910. Solve 66*r = 68*r - j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = w + 5, 6*w - 9 = 3*w. Let j = -5 + k. Suppose -32 = -5*q - 7. What is the remainder when q is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23.78734 + -0.18626. Let o = c - 0.1464. Let p = -20.8 - o. Round p to one dp.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 844.8923ug?\nAnswer: 0.0000000008448923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.9 + 0.0112.\nAnswer: 2.9112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 10) to base 12.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 560, 562, 564, 566?\n\"Answer: 2*g + 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 2, -4*x + 21 = -0*x + 5*t. Suppose -m + 23 = -3*k, 3*m + 2*k = 2*m - 2. Sort m, x, -1 in descending order.\nAnswer: m, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*f - 654*f + 60 + 970 = 0. Find i such that -2\/9*i - 4\/9*i**f + 2\/9*i**5 + 4\/9*i**4 + 0*i**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -154 and 2379742.\nAnswer: 2379588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -451685, -903313, -1354941, -1806569, -2258197, -2709825?\n\"Answer: -451628*d - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 2*m + 2 - 3\/2*m**2. Differentiate t(i) wrt i.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119523, 238824, 358123, 477420, 596715, 716008, 835299?\nAnswer: 954588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*c - 411 - 318 = -228 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p + 5*p - 4*p)*(-4*p - 1 + 6*p + 30) to u + g*p**2 + v*p and give v.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 620099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f = -20*f + 16*f + 54 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/95 and -77\/1780?\nAnswer: 33820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 4\/2 - (5 + 8 + -5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ka when two letters picked without replacement from {e: 4, k: 7, a: 1, f: 3, s: 4}?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.496 - -0.004. Let w be 1*7\/3 + -2. Sort j, -5, w in increasing order.\nAnswer: -5, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 3927108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 378 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25664742?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 - 64853*n**2 - 2465497*n - 23425651.\nAnswer: (n - 64891)*(n + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = 6*y - 347. Let g be (-7)\/2*(-2 + (-4 - 2)). Calculate the greatest common divisor of y and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w + 69 - 18 = 0. Solve -6*z + 9 = -w*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-27189.\nAnswer: 27189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*f - f - 11*f)*(7*f - 3*f - 3*f).\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.96 - -10. Let w = g - 38.04. Let c = 34.8 + w. Round c to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16435 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 56 = -54. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -87*f**2\/2 - 70*f - 85. Is 3 a factor of l(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(2 + -1 + -1). Solve f = c - 3*c + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -4. Suppose b = 4*l - l. Suppose 3*d = -0*d. Solve -w + l = -d*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31084 is divided by 137.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**2 - 31*h + 63. Give m(11).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + -1001?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/217*(-7104)\/(-80). Let i = -2\/217 - j. Find l such that -6\/5 + 8\/5*l - i*l**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1216 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -16 + -4 + (-1 - (-3 + -5))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, y: 2}. Give prob of picking 3 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 5*c - 10. Let d be y(7). Find the third derivative of 28*n**3 - d*n**2 + 2*n**2 - 34*n**3 wrt n.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 117 = 478*s - 475*s, 5*a = -2*s + 111 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1819.99999684 - 1820. Round b to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5757 (base 13) in base 9?\nAnswer: -17710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - (-3*sqrt(121)*2 - sqrt(121)))\/sqrt(11) + -5 + sqrt(11)*2*6.\nAnswer: -5 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27012 and 18104793.\nAnswer: 72419172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrxxrxxrrrrrxrxrrbrr. What is prob of picking 1 b, 1 r, and 2 x?\nAnswer: 84\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2130119 + 3*q**2 - 383612 + 848*q + 507*q + 3223*q.\nAnswer: 3*(q + 763)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3995\/600 + -2 - (-2)\/15 and 67\/44?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/480 and -35\/1152.\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-2*(-6*sqrt(2016)*2)\/(-5*((sqrt(20) - 1*sqrt(20))\/sqrt(10) - sqrt(2))).\nAnswer: -288*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 27\/2 of a kilogram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1214 (base 8) to base 9.\nAnswer: -804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9\/(-6) + (-1835)\/(-10)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-146 - -136) + (-1 - (-24 - -1)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -851 and 297.\nAnswer: -252747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 526992 and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 9534 = -6*b. What are the prime factors of b\/4*1 + 2\/(-4)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 124 - 127.46. Let i = a - -3. Let y = i - -0.16. What is the biggest value in 1, y, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -72 and -1564.\nAnswer: 112608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1413.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-16))\/u)\/((((u\/(((u*u*u\/u**(-2\/7)*u)\/u)\/u))\/u)\/u*u)\/u) assuming u is positive.\nAnswer: u**(-89\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 4*l**3 + 2146*l + 5120 + 325*l**2 + 4925*l - 1631*l + l**3 = 0?\nAnswer: -32, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 10:18 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -37*g**3 + 4*g**2 - 2*g - 3. Suppose -3*s + 6 = -9. Let a be o(s). Let p = 14538 + a. Round p to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -7. Let v = 13 + -12. Which is the third smallest value? (a) 0 (b) v (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3795?\nAnswer: 3, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 594, 586, 576, 564, 550, 534, 516?\n\"Answer: -u**2 - 5*u + 600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 649, 663, -605, -3797, -9555, -18521, -31337?\nAnswer: -48645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbg when three letters picked without replacement from {h: 3, g: 3, b: 13}?\nAnswer: 26\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-seven quarters of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**3 - 6*q**2 + 2*q - 14. What is r(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -26, -26, -60, -146, -302, -546, -896, -1370?\n\"Answer: -3*b**3 + b**2 + 18*b - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 + -23. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from cbpcc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*k**2\/9 + 164*k\/9 + 62\/3.\nAnswer: -2*(k + 1)*(11*k - 93)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, p: 12}. What is prob of sequence yp?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-4) - (-7)\/49*0. Which is the closest to 4? (a) i (b) 3\/8 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/(-40) - (75\/10)\/15. Let f(g) be the second derivative of -1\/2*g**3 + x*g**5 + 4*g + 0*g**4 + 0 + g**2. Factor f(o).\nAnswer: (o - 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -19*q**4\/3 + 5*q**3\/6 + 27*q**2\/2 + 19*q + 9. What is the second derivative of i(x) wrt x?\nAnswer: -152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.9 - -6. Let d = -0.92 - 0.08. Let c = v - d. What is the closest to c in 1\/8, -5, 4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-12) - 14\/(-8). Suppose m*o = -4*j + 30, j + 1 = 2*o - 19. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 4*m**3\/3 + 2. Let w(z) = 204 - z - 204. Determine w(x(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46921*m**3 - 27498*m?\nAnswer: 281526*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*p - 4*p + 15*p + (-9 + 0 + 1)*(-4*p - 3*p + 4*p).\nAnswer: 50*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -73*n**6\/40 - 17*n**5\/3 - 78*n**2. Find the third derivative of i(p) wrt p.\nAnswer: -1314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1112120 (base 5) in base 8?\nAnswer: -46314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 6*h**2 - 3*h + 6. Let f be (2 - 0)\/(10\/(-25)). Let n be x(f). What is the nearest to 0.1 in -1, -0.1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(1\/12))\/(b*b**(-3\/7)))\/((b\/(b*b**(-6)*b))\/b*b*b*b**(-8)\/b) assuming b is positive.\nAnswer: b**(379\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g = -26 - 10, -4*d - g + 7 = 173 for d.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d = 21*d + 178. Let q = d + -87. Find the first derivative of -35*i**2 + 15*i**2 + 27*i**q + 3 wrt i.\nAnswer: 14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 600, 598, 596, 594, 592, 590?\nAnswer: 588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5952001 a multiple of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48867*h - 48855*h + 146580*h - 48857*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 5*y - 7. Suppose 4*l - w = 92, 2*l + 2*l - 84 = -w. Suppose l = 7*t - 13. Give x(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + ((-917)\/(-77) - 22).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 2. Let v = -1.98 - 0.02. Put 0.5, v, q in ascending order.\nAnswer: v, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31226*b**4 + 1747*b**3 - 65860648*b**2.\nAnswer: 749424*b + 10482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/7, 5, 0 in decreasing order.\nAnswer: 5, 2\/7, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = q + 6450. Round q to the nearest 100.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -1\/3*b**3 + 5*b**2 - 2 - 6*b. Let a be q(9). Let h(l) = 5*l - 4. Determine h(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*g + 20 = -4*g, -4*c = -4*g - 84. Suppose c = -j + 22. Solve 0 = -j*v + 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (118 - 85) + -11 + 3 + -4\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/70, -59, -1\/2, -2.07, 0.3.\nAnswer: -59, -2.07, -1\/2, -1\/70, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**4\/g*g)**(-46)\/(g\/(g*g**(-9))*((g\/(g*g**9))\/g)\/g))**17)**(-13\/4) assuming g is positive.\nAnswer: g**(20111\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -44b04 (base 12) in base 6?\nAnswer: -1543204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*1*((-35)\/10 - -5). Let j be 25*-1*(w - 16\/4). Calculate the greatest common divisor of 200 and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 2*n + 6 = -5*y, -1944*n - 9 = 5*y - 977*n - 970*n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*a - 441*a = -221*a + 550 for a.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + k**2 + 16*k - 16.\nAnswer: -(k - 4)*(k - 1)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.842747519 + -5.8428. Round f to 7 dps.\nAnswer: -0.0000525","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -557927*t**3 - 729253*t wrt t.\nAnswer: -3347562*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 701903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-308)\/(-253))\/14)\/(15\/69)*3*-40?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -5*u + 1805, 0*q = -4*u + q + 1451. Let j = -1 - -4. Suppose -7*z = -j*z - u. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 293996556.964 + -5.84\nAnswer: 293996551.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 7*w + 11. Let s = 6 - -2. Let c be t(s). Suppose -5*z + c*z = -18. Solve -z = -4*n + 3*r, -3*n = -0*n - 3*r - 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2 + 2 = 0. Let m be (22\/(-33))\/(4\/(-282)). Let k = -42 + m. Sort k, o, -3 in descending order.\nAnswer: k, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a3b + -294a?\nAnswer: -5789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 84568, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 162344 and 478558?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -204 + 56 + 210?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1826841000 rounded to the nearest one million?\nAnswer: 1827000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 0 + 1)*(-9 + 10 + 12) - 6 + 6 + 2 + (-1 + 2 + 0)*(-3 + 2 + 0))*(-3*c - 3*c + 4*c) as p + r*c and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23323122 - -10?\nAnswer: 23323132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/(-4))\/((-9)\/(-2880))*1 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -1) + -11 - 4. Is 7 a factor of (-205)\/(-25) - (-3)\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -3*n + 44, -5*n = 11499*v - 11504*v + 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2\/125 of a millennium?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.0099998291 - -14.01. What is z rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -239 - -238. Let u be -3*((-10)\/6 - c). Let z(f) = -18*f + 2. Determine z(u).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**3 - 234*q + 3*q**3 + 463*q - 229*q.\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 221456 > 221465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/75*15*(-9)\/(-45)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 16*p**2 + 44*p - 62. Determine j(-18).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**3 - 17*v**2 + 12*v - 17. Let i be (-36)\/(-5) + 8*2\/20. Let k be q(i). Factor 2*c - 4*c + k - 3*c**2 + 7*c + 7*c.\nAnswer: -3*(c - 5)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 443440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -9. Suppose y*h - 7 = 20. Solve p = l - 3, 0*p - p - h = -4*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - (sqrt(500) + sqrt(500) + (sqrt(500) - sqrt(500)*1*6) + sqrt(500)))\/(sqrt(70)\/(sqrt(21)\/sqrt(3))).\nAnswer: 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k - 3. Let u be q(3). Suppose -5*j + 0*d + 132 = u*d, -5*j = -2*d - 112. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1267\/14*(-2)\/30. Let d = -35\/6 - z. Let y = -0.9 - -0.7. What is the third biggest value in d, y, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/83853 and 119\/31218.\nAnswer: 7211358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06673 to 3 decimal places.\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2179 + 2392 = -109*d + 6474 + 8125 for d.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8092 + 12932. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.59 - -0.41. Sort 0.8, b, 1, -0.1 in increasing order.\nAnswer: -0.1, 0.8, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4683 = 570*r + 33753 for r.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -422613 not equal to -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-7))\/(3\/(-2)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.4, 1491\/5, 1, 0.04, 0.3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1549770 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*q = 2*q + 193, -3*q = -3*v + 573. Let s be (-49)\/(-6) - 32\/v. What is the greatest common divisor of 6 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 12, 1110, -109, -3 in increasing order.\nAnswer: -109, -5, -3, 12, 1110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(-273)*378\/(-630)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(9)\/(sqrt(24)\/sqrt(8))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -262 and -4446\/17 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 78.43\nAnswer: 23.529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x**3 - 42*x**2 + 9*x = 0 for x.\nAnswer: -3, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/3))**(-20\/3)\/(q\/(q\/(q**(2\/11)*q))*q**(-3\/5)) assuming q is positive.\nAnswer: q**(-4688\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/(-75) + 12\/(-10). Let y = 0 + -0.1. Let f = -0.1 + y. What is the nearest to -1 in f, 0, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**(-6)*a))\/a**(-1\/5))\/(a**(1\/3)*a*a**5*a))**(1\/22) assuming a is positive.\nAnswer: a**(-17\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 375743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -8 + 5 - (18 + -4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -108, -133, -176, -243?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 1:51 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 1:38 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 361105, 722210, 1083315, 1444420, 1805525?\nAnswer: 2166630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 1. Let i(n) = 3*n + 67. Let l(g) = -i(g) - 6*y(g). Let k be l(24). Solve 2*r - 5*c = 29, -3*r + 2*c + k = c for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11 - (4 + 1\/1). Let d(k) = 2*k - 8. Let g be d(c). Suppose -o = -0*o - 18. Solve -2*i + g*q + o = 0, 0 = 4*i + 2*q - 0*q - 16 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29340 or 29360?\nAnswer: 29340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 56622, -5, -84 in descending order.\nAnswer: 56622, -5, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2412 and 235728?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9916979*f*m*u**2 - 2*f*m*u - 20380*m*u**2 - 122 wrt f?\nAnswer: -9916979*m*u**2 - 2*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqjk when four letters picked without replacement from {k: 7, q: 2, j: 4}?\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 2*b**2 - 22.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -167 + 163. Let c = 0.16 + -0.06. Let g = -21 - -20.9. What is the closest to g in -0.02, c, q?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/7))**(-4\/5)\/(d**(2\/17))**(7\/6) assuming d is positive.\nAnswer: d**(163\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + sqrt(171) + -2 + 6*(sqrt(171) + 0) + 5 + (((sqrt(171)*3)**2 - sqrt(171)) + 0 - sqrt(171)).\nAnswer: 15*sqrt(19) + 1533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 102 - 74. Let d be (1 - 0)\/(2\/u). Solve 2*f - d = -1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1473 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 6*j**2 + 105*j - 14. Calculate a(11).\nAnswer: 536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4236, -8289, -12342, -16395, -20448, -24501?\n\"Answer: -4053*b - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -8*h**5 - 98*h**4 - 312*h**3 - 328*h**2 - 64*h = 0.\nAnswer: -8, -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.418 rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25398750?\nAnswer: 2, 3, 5, 13, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 2*d - 63 - 194, -3*i + 4*d + 171 = 0. What is the greatest common factor of 28 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60*i**4 + 0*i**2 + 60*i**4 - 11*i**2 - 10*i**6 wrt i.\nAnswer: -1200*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1*(sqrt(12) - 2*sqrt(12)))\/(sqrt(4) - (-2*sqrt(40))\/sqrt(10))*1)**2.\nAnswer: 4*sqrt(3)\/3 + 13\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -16*l**3 - 32*l**2 + 5*l + 11. Let k be x(-2). Suppose 2*v + v = 9. Suppose -v*g - 5 = -26. Solve -4*a - k = g for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - s + 0 + 0. Let j(l) be the first derivative of -5*l**3\/3 - 2*l**2 + 3. Let a(f) = j(f) - 6*w(f). Find the second derivative of a(q) wrt q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/(-3)*117\/780*20.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 13, 4, -0.2727, -3\/4, 7, 0.5, 4\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u**2 + 81*u - 63. Let l be v(-21). Let t = 2\/21 + -3\/7. Put l, 16, 2\/9, t in increasing order.\nAnswer: t, l, 2\/9, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*x + 59*x + 50 = 3*a, 3*a - 2*x - 29 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - b - 15086 = 0, 3*c + 5*b - 37745 = -2*c. List the prime factors of c.\nAnswer: 3, 5, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2083, 8, 0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 22*k**3 - 20*k**3 + 0 - 9*k - 6*k**2 + 11. Let f(m) = -2*m - 5. Let a be f(-5). What is the tens digit of g(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*c**2*d**3 + c**2*d - 8*c*d**3 + 373*d**3 wrt c.\nAnswer: -8*c*d**3 + 2*c*d - 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 635788 divided by -1\nAnswer: -635788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -351 divided by -39\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2, 11, 34, 77, 146, 247, 386?\n\"Answer: m**3 + m**2 - m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 10*u**2. Let a(f) = 19*f. Determine a(p(v)).\nAnswer: 190*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 17*m + 2. Let h(q) = 35*q + 5. Determine 5*b(k) - 2*h(k).\nAnswer: 15*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1.5. Let b = 0.4 + o. What is the smallest value in 0.1, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7*r**4 - 6*r**3 - 12*r + 6. Let i(t) = 13*t**4 - 11*t**3 - 24*t + 11. Let o(g) = -6*i(g) + 11*s(g). What is the second derivative of o(j) wrt j?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.18644 - -1.18644. Sort 0.3, -44, u, -5 in ascending order.\nAnswer: -44, -5, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 17748546*m. Let h(q) = 34*q**2. Determine h(g(u)).\nAnswer: 10710370093879944*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-4)*i\/(i*i**(-1\/2)))\/(i**(2\/7))**(-25) assuming i is positive.\nAnswer: i**(79\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -27645967, -55291930, -82937893, -110583856, -138229819, -165875782?\n\"Answer: -27645963*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q - 57. Let i be y(-11). Let v be 62\/124 + (0\/i)\/(-1). Which is the nearest to -2\/5? (a) v (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17292 * 17.\nAnswer: -293964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126923146.\nAnswer: 2, 7, 9065939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k + 199. Let w(r) = -4*r. Give i(w(p)).\nAnswer: -8*p + 199","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s**2 + 22*s + 5. Calculate v(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -t**3\/6 + t**2 + 10722*t. Suppose -3*g + 4*s = -1 - 6, -s - 13 = -3*g. Give m(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 622 plus 463.09088?\nAnswer: 1085.09088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + 11 = 127*y + 11 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 6*h - 34. Suppose 3003 = -12*l - 4197. Calculate the remainder when h is divided by ((-24)\/15 - -2)\/((-12)\/l).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i**3\/5 - 402*i**2\/5 + 38717*i\/5 + 58212 = 0. Calculate i.\nAnswer: -7, 189, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -3639461782.8.\nAnswer: -3639461782.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 66996396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 12:49 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/4 - (-1)\/2. Let x be 4 + 1 + b + 0. Suppose 36 = 159*z - 150*z. Solve -x*n - 12 = -z*k, 2*k + 8 = -5*n - 21 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v. Let g(t) = -23*t**2 + 3*t. Suppose 0 = 3*a + 4 + 5. Let f(y) = 23*y**2 - 4*y. Let n(i) = a*f(i) - 4*g(i). What is n(m(d))?\nAnswer: 92*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 255*y + 167*y - 337*y. Let b(c) = -2*c. Determine b(w(h)).\nAnswer: -170*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(63\/651*(-2)\/6).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 37, 5, -0.5, -76, -2\/11, -17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -4. Suppose 2*y = -4*b + 20, -b + 2*b = y + a. What is the second derivative of 3*h**3 - b*h**3 - h + 0*h**3 wrt h?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5924.5289 + -5918. Round y to 1 decimal place.\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -1\/13 (c) 2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2. Let r(d) = 1728*d + 1. Calculate n(r(q)).\nAnswer: -2985984*q**2 - 3456*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2923104.\nAnswer: 2, 3, 30449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f = -13*f - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 11439?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139 = -98*s + 531 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**5\/15 + y**4\/8 + y**3\/2 + y**2. Suppose 4*c = -31 + 19. What are the prime factors of w(c)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 119\/2 - 237\/4. Let u be (-2)\/(-1)*2\/(-4). Let w = 2.7 + -7.7. Which is the closest to u? (a) 2\/15 (b) w (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.3, -10.7 in increasing order.\nAnswer: -10.7, -0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 124924*r**4 + 30499*r**2 wrt r?\nAnswer: 2998176*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + 0.3. Let r = 0.1 + c. Is r at least as big as 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -0.00512?\nAnswer: 0.00256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 142 + -62. Suppose w = -5*x + 7*x. Let a = x - 24. Solve o = 5*o - a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**2 + 2*a = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a\/(a**(-1)\/a))\/a*a*a)**(-2\/41))**(-20))**(-29) assuming a is positive.\nAnswer: a**(-5800\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1564 is divided by 112?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(-7*k + 37 - 39 - 4*k)*(-4*k**2 + k**2 + 2*k**2)*(-k - 5*k + 4*k + (-1 + 4 - 1)*(-2*k + 0*k - 8*k) + 1 - 1 + 2*k).\nAnswer: -440*k**4 - 80*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -3 (b) 5 (c) -5\/2 (d) 21\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {k: 4, i: 6, q: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1750601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/((sqrt(4)*2 - sqrt(4)) + sqrt(4))*-1)**2 + -5.\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, c: 2, a: 7, g: 7}. Give prob of sequence kcca.\nAnswer: 7\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -1*sqrt(117) + sqrt(117) + 3 + (sqrt(117) - (3 + -1 + sqrt(117))) - ((sqrt(117) + -1)*-4 + sqrt(117) - (3 + sqrt(117)*2)))**2.\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j + 2*j**2 - 3*j. Let i be (-4)\/(-6)*(-255)\/10. Let z(k) = -18*k. Let t(o) = -6*o. Let b(l) = i*t(l) + 6*z(l). Determine s(b(p)).\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + a. Suppose 0 = -a*t + 3*t - 393. Suppose -6*k + 875 = t. Is k a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 + 2.4. Let o = 329 + -334. Put 0, o, d in ascending order.\nAnswer: o, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + r - 4 = 0. Let u = -1686 - -5042\/3. Which is smaller: r or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**4*f**(2\/13))**(-3\/17))**(-12) assuming f is positive.\nAnswer: f**(2412\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -108 + 104.4. Let p = -4.6 - n. Put 1\/7, -1\/31, -0.1, p in increasing order.\nAnswer: p, -0.1, -1\/31, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 14*l**2 - 3*l + 5. Let y = -2372 + 2386. Determine s(y).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.877 + -0.123. Let p = -3\/169978 - -9350239\/82099374. Let u = -2\/69 - p. Which is the third smallest value? (a) 4 (b) u (c) 0.2 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 469 divide 493388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhdh when four letters picked without replacement from yydyyndyhdyudyuyhudh.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 11) to base 2.\nAnswer: 100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(4\/3))\/n)\/n**(-3))**28*(n*n*n**6*n*n**(-1))**8 assuming n is positive.\nAnswer: n**(332\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5060.389ml to litres.\nAnswer: 5.060389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 647 = 653. Solve 0 = y + n*y - 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-13 - (-6 - 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*p - 8*p = -29*p + 870 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1298, 1296, 1292, 1286, 1278, 1268?\n\"Answer: -a**2 + a + 1298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + 5 - (-4 - -2). Suppose -m*g = -4 - 4. Solve 3*r = 0, -5*p + g + 1 = r for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of 0*f - 9*f**2 + 0*f**4 + 0 + 7\/60*f**5 + 0*f**3. Let n(t) = -t**2. Give n(w(x)).\nAnswer: -49*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*q = -86*q + 6600. Does 55 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129431057.\nAnswer: 7, 18490151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - ((56 - 96) + 47)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -927 (base 11) to base 14\nAnswer: -59c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**2\/5 + 1244*d\/15 + 1648\/15 = 0.\nAnswer: -206, -4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cppl when four letters picked without replacement from ppcllplpppplplppppl.\nAnswer: 11\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 5*sqrt(300))*3)**2 + 1 + (sqrt(300)*3*-4 - (4 + (3 + sqrt(300) + sqrt(300))**2 + sqrt(300))).\nAnswer: -250*sqrt(3) + 66288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/9, 0, -343, -2\/67, -0.4, 0.01?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/441 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g - 4. Let x(l) = -10*l - 13. Let i be (-3 + -2)*(-48)\/(-120). Let o = -24 - -31. Calculate i*x(n) + o*f(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 37*c. Let p(b) = -10 + 4 + 6 - b**2. What is p(w(l))?\nAnswer: -1369*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38347 and 14674531?\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 16. Let o = a + -12. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -97110, -97271, -97450, -97653, -97886, -98155, -98466?\n\"Answer: -k**3 - 3*k**2 - 145*k - 96961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26145 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 5 - 1 + 14*c.\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 3*y + 3*w, 5*y - 2*w + w - 116 = 0. Let s be y\/13*(-5)\/(-20). Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -61, -84, -127, -196, -297?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + 2*(4 + (sqrt(2057) + sqrt(2057) + -1)**2*1)).\nAnswer: -528*sqrt(17) + 98772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -12. Suppose 10 + 40 = h*x. Let w be x\/6 - 1\/1. Is 1 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 148 + -133. Suppose -4*j + s = j. Solve -h**2 - 3*h**2 + 2*h**2 + 20 - j*h**2 + 15*h = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (26*10\/(-60))\/((-2)\/14508)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -10*u**3. Suppose 3*w - 14 = -2. What is the remainder when k(-1) is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111011110001100111001 (base 2) to base 7\nAnswer: 46321452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 18 = 4*a. Let t be a*((-44)\/6)\/2. Suppose -2*d = -t + 1. Solve 5*s + 2*x = -3*x, -2*x = d*s + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -2*o + 22, 5*o - 23*m + 26*m = 34. Solve 4*w - 20 = 2*u - u, -o*u = 2*w + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, l: 2, d: 5, q: 5, v: 1}. What is prob of sequence sl?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 8*i - 68. Give m(-8).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018 a factor of 3537992345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/12660 and -117\/2650?\nAnswer: 3354900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**2 + 2*b - 5*b + 2 - 2*b**2. Let r be k(2). Let i be 4*r\/3*-10625. What is i rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 9:55 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i**2 - 102*i + 26. Let k be j(14). Let y = -613 - k. Solve 0 = -6*x - 1 - y for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462557 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35355218 divided by -2.\nAnswer: -17677609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 5291213\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 53, 59, 75, 107, 161?\n\"Answer: d**3 - d**2 + 2*d + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*q + 5*v, -4*v + 13 = 2*q - 25. Let a(u) = -9*u + 34*u - 13*u - q*u + 2. Calculate a(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 506948 to the power of 1\/2, to the nearest integer?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1848*f + 3445*f + 996*f - 455712 = 223500 for f.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/2 - -6 - (-6)\/4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33.38 + 10.56. Let z = -23 - q. Let r = z + 0.180104. Round r to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -1. Suppose -f = d - 8. Suppose -f*s + 3 = -4*s. What is the lowest common multiple of s and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 16, 2*n + 2*n + 40 = 5*m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1205548 and 30970?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -202 - -238 - (0 + (-5310)\/(-165))?\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -162, -159, -154, -147, -138, -127?\n\"Answer: o**2 - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)*j**(3\/2))**(-16\/11)*j**(1\/5)\/((j*j*j*j*j**(-2))\/j)*j**(-2\/9) assuming j is positive.\nAnswer: j**(-866\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 7*i**2 - 11*i + 6. Let p(k) = 4*k**2 - 6*k + 3. What is 11*p(z) - 6*r(z)?\nAnswer: 2*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8\/45 - 2\/9. Let l = 137 - 143. Let y be l + 248\/24 - 5. Which is the closest to 0? (a) h (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -36*q + 7. Let a be m(-3). Suppose 4*p + u + 3*u = 224, -2*p + a = u. List the prime factors of p.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/sqrt(7) + -1 - (sqrt(77)\/sqrt(7) + -3)) + (6*(sqrt(77) + (sqrt(77) - 1*sqrt(77))))\/(sqrt(7) - sqrt(112)*-1).\nAnswer: 2 + 6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.076, -30668, 3?\nAnswer: -0.076","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277192 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 568 and 472?\nAnswer: 33512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26450*o**3 + 3480186580*o**2 - 181574898*o + 2368368.\nAnswer: -2*(o - 131576)*(115*o - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1411.\nAnswer: 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16932 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**2 - 5. Determine w(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 234, 474, 716, 960?\nAnswer: 1206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least as big as 1\/284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*n - 8156, 2*n - 3901 - 1553 = 2*p. What is the thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/1)\/((-2)\/78). Let o(s) = -4*s + 10. What is the remainder when o(-7) is divided by ((-4)\/(-6))\/(2\/a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 h when three letters picked without replacement from {z: 1, n: 2, h: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -718203?\nAnswer: 718206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/((f\/f**15)\/f))\/((f*f**(-6))\/f) assuming f is positive.\nAnswer: f**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 22*p + 10 + 2 - p - 2 + (-1 + 2 + 0)*(4*p - p - 4*p) + (11*p - 18*p + 4*p)*(4 - 5 + 2 + (-1 + 0 + 3)*(2 - 1 - 2)) to r*p + y and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 137536 - -7?\nAnswer: 137541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -688.\nAnswer: 137.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -589 - -579. List the prime factors of h\/2 + (-1302)\/(-6).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -144144*k - 1155. Let q(g) = -499*g - 4. Let d(b) = -4*j(b) + 1155*q(b). Let u(p) = 23*p. What is 5*d(i) - 49*u(i)?\nAnswer: 28*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 - 16233303940 + 16233303940.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -888*c**3 + 56*c**2 - 17*c - 147772.\nAnswer: -2664*c**2 + 112*c - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75*z**2 + 84*z**2 + 76*z**2)*(3*z - 9*z + 4*z - 27*z**2).\nAnswer: -2295*z**4 - 170*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 600977 is divided by 287?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a factor of 6746350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574640 is divided by 409?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 4*r + 5. Let b be a(-4). Suppose -2 = b*o - 2*p, -3*p - p + 4 = o. What are the prime factors of 10 + -2 + (1 - o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -o - 3*i + 26, -5*i + 10 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-3 + 3 - s)*(-2*s + 5*s + 0*s)*(-164 - 213 + 104).\nAnswer: -819*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1224 and 60?\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 53*f - 9. Let o be p(4). What is the greatest common divisor of 29 and o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 570, 566, 562, 558, 554, 550?\n\"Answer: -4*x + 574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 146265 + -146264.9. Let j = 0.45 + -0.05. Let s = 6 + -9. What is the closest to u in j, s, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = 4*q + 36. Suppose -h + 4 = h. Let v(f) = 5*f**2 + 4*f**h - q*f**2 + f**3 - 4*f - 5*f**2. What is v(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -2*n**3\/3 - 268. Let u(k) = -504*k**2. Let s(o) = -21*o**2. Let t(f) = 49*s(f) - 2*u(f). Determine j(t(m)).\nAnswer: -882*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*k = -s + 79*k + 5, 0 = 5*s + k + 19 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 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: Solve -19*r + 68 = -12*j - 23*r, 0 = -3*j + 5*r + 49 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 132285 in -574, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1868211 is divided by 46.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 5*r**3\/6 + 5*r**2\/2 - 16*r. Is 4 a factor of i(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3013\/15 - 201. Let p = 265 - 260. Suppose 0 = -p*x + 5*h - 10, 3*h = -3*x - 13 + 1. Which is the second smallest value? (a) x (b) f (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(117) - (1*sqrt(117) - sqrt(117)))**2*2 + 3 - (5 + 4 + -6*(2*sqrt(117) + sqrt(117))).\nAnswer: -474 + 54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10*(-3 - (-22)\/10). Let h = -201 + 238. Let n = m + h. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n - 12. Let l be s(-15). Suppose l*c = -5*o + 12, 21 = c + c - o. Calculate the least common multiple of c and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + -5. What is the remainder when (-2)\/(p\/39) + 2 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - v + 1. Let x(d) = -4*d**2 - 9*d + 12. Suppose 0*r - 15 = 5*r. Let y(s) = r*k(s) + x(s). Give y(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 28.030149 seconds?\nAnswer: 0.0077861525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.78? (a) 2 (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + 7*f - 57, -3*s - 61 = -5*f - 40 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -50797 take away 5?\nAnswer: -50802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 + 31 + 1474*y - 14 + 476*y)*(-2*y**2 + 0*y + 0*y) in the form s + u*y + x*y**2 + g*y**3 and give g.\nAnswer: -3900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -5*v**3\/3 - 45*v**2 - 325*v - 296. Factor t(c).\nAnswer: -5*(c + 5)*(c + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/12 (b) -2\/7 (c) -12 (d) -19 (e) -478.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*h + 2)*(3*h**4 - 3*h**4 + 2*h**4) - 5*h**5 + 2*h**5 + h**5 - h**5 + 3*h**2 - 3*h**2 + 12*h**2 + 4 - 2*h**5 - 12*h**2.\nAnswer: -9*h**5 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22020 - 2?\nAnswer: -22022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 190403111 and 112001830.\nAnswer: 1904031110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2250, -2249, -2248?\nAnswer: -2247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 72*n**6*t**3 - 41*n**3*t**3 - 41*n**2*t**3 - 39*n**2*t wrt n.\nAnswer: 8640*n**3*t**3 - 246*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-245)*-35*44.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 245?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14987, 29965, 44923, 59855, 74755, 89617, 104435?\n\"Answer: -c**3 - 4*c**2 + 14997*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 166691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 499137131?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 812820\/7866 - 1\/((-6)\/4). What is the highest common divisor of 10764 and x?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-10 + -3 + -3)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20210122 + 1?\nAnswer: -20210121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 16257*u - 32526.\nAnswer: 3*(u - 2)*(u + 5421)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -7.85361?\nAnswer: -3.141444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 667 and 1421.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -0.11349, 0, 4?\nAnswer: -0.11349","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/2)\/((-2)\/(-1)) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0 (b) -15\/4 (c) 36.12 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.149 rounded to zero dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0085, 0.3, 0.5, 0, 0.191?\nAnswer: -0.0085","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -793916544 take away 13?\nAnswer: -793916557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000035745 to six decimal places.\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -150 - -270. Let l = 128 + v. Suppose 4*w - 8*w + l = 0. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.028 (b) 18\/419 (c) 4.8 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/809? (a) -2\/3 (b) -2 (c) 241\/30 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.3 plus 81803?\nAnswer: 81796.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 441029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (7 - 9) - (1 + 1)) + 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -3 - (-9 - (-30 + 14)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -28, -37, -44?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 302.3 from -1.\nAnswer: -303.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2457\/117*(-1)\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -9584 less than or equal to 22\/127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 5) + 3 + -7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -3, -9, -1 in ascending order.\nAnswer: -9, -4, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -9*r**2. Let u(k) = 25*k**2 - 18*k - 3. Let g(a) = -76*a**2 + 48*a + 8. Let f(n) = -3*g(n) - 8*u(n). Determine w(f(q)).\nAnswer: -7056*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b**2. Let r(a) = -893705*a**2. Determine l(r(t)).\nAnswer: -3194834508100*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, m: 2, y: 2, a: 3, r: 6}. Give prob of sequence mam.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g*h**2*i*s + 2*g*h**2*i - 9*g*h*i*s**2 + 5*g*h*s + 5*g*h + 69*h**2*s**2 - h**2 + 7*h*i*s wrt s?\nAnswer: -18*g*h*i + 138*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2044*h**5 + 2*h**2 + 4092*h**5 - 119*h**3 - 2047*h**5 + 5658*h wrt h?\nAnswer: 20*h**3 - 714*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*0.15\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 6*p**2 - 7*p - 7. Let u be x(-5). Let w = 21799 + -21797. Sort u, w, 192 in decreasing order.\nAnswer: 192, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - -3. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -135, 3, -3\/5, -5.3, -10?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -15*s + 14*s - 5*t, -16 = 2*s + 2*t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3656119*l**3*o**2*v**2 + 11*l**3*o**2*v - 1070*l**3 - 2*l**2*o*v - 2*l**2*v - l*o**2*v + 3*o**2*v**2 + 20*v wrt v?\nAnswer: -7312238*l**3*o**2 + 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293793013?\nAnswer: 293793013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 15580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 11\/8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 845472742 to the nearest integer?\nAnswer: 29077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(-1)*(-35 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1\/59, 0.38, 4\/7 in decreasing order.\nAnswer: 4\/7, 0.38, 1\/59, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + -3 - (0 - (1 - -3)). Let p(g) = -g**2 - g. Let d(n) = -5*n**2 - 10*n + 8. Let i(r) = u*p(r) - d(r). Calculate i(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 631315 - 335378. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1213, -9490, -31959, -75718, -147865, -255498?\n\"Answer: -1183*i**3 + 2*i**2 - 2*i - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 811*j**6\/60 - 319*j**4\/6 + 1313*j**2. Find the second derivative of d(k) wrt k.\nAnswer: 9732*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 4*l - 2*l. Let d = l - -45. Suppose 95 = 5*m + 2*j, -2*m - 2*j = -d - 6. List the prime factors of m.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26\/9*x - 16\/9*x**4 + 20\/9 + 2\/3*x**5 - 4*x**2 - 64\/9*x**3 = 0.\nAnswer: -1, 2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -37*x + 79. Let s be n(-7). Suppose -4*v = -4*z + 6*z - 1424, v - s = 4*z. Is 33 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1621*b + 30 = 1625*b - 3249*b + 7*i, -5*b + 2*i - 21 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h. Let i(r) = 18405896*r. What is c(i(a))?\nAnswer: -55217688*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 3:04 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 4:45 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppppd. Give prob of sequence dpp.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1952 = -11*u + 4845. Suppose 10*s - 477 = u. What is the greatest common factor of 4 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 2*j - 72. Let b = j - -18. Suppose -5*u + b*u = -60. What is the highest common divisor of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4133*y**3 - 24*y + 6. Let q(d) = 2839369*d**3 - 16484*d + 4121. What is -4121*i(t) + 6*q(t)?\nAnswer: 4121*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -11*r + 23 - 14 + 18. Let i = -25 + 18. List the prime factors of d(i).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 - 13*j - 8. Let n(q) = 1. Let i(t) = 6*n(t) + p(t). Let l be i(6). Let o(b) = b**2 + 7*b - 7. Determine o(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (0 + 9 - (-41 - -42))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 928 + -359. List the prime factors of l.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -16\/12336947?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1764)\/(1575\/(-25))*2\/8*(-106)\/(-14)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3585*s = -3*z + 3590*s + 32, -2*z + 5*s = -23 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1469211 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*b + 12, 4*b + 12 - 38 = 2*k. Suppose 0 = 4*u - t + 201, -u = -4*u - b*t - 127. Let l = -5 - u. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46 and 31\/718?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**3 - 85*z**2 + 45*z**2 - 38*z - 7*z + 0*z + 3*z**3 = 0.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 12*o = -184. Let f = -34 + o. Let l = 214 - 156. Calculate the remainder when l is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 t, and 2 k when four letters picked without replacement from {b: 1, k: 4, x: 3, w: 5, t: 5}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 2\/3, -5, 4 in descending order.\nAnswer: 4, 2\/3, -5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -558, -1113, -1670, -2229, -2790, -3353?\n\"Answer: -p**2 - 552*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.37 and -0.0181.\nAnswer: -0.3881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -6*z + 5*z. Let y = 15 + z. Let n = -11 + y. Sort -4, -5, n.\nAnswer: -5, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11590351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -171606294 * 1\nAnswer: -171606294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.02 (c) 1\/2 (d) 3\/2 (e) -2.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1854 and 167066.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2\/3 - 31*m + 94\/3 = 0. What is m?\nAnswer: -94, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2716 and 259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 96909 to the power of 1\/2, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21.9999997 + -22. Round r to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + s + 14, t + s = 2*t - 2. Solve 0 = -t*p + 5*w - 12 - 5, -4*w + 10 = -2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4281.\nAnswer: 3, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 34*r**2 + 14 - 33*r**2 to c*r + d*r**2 + m and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2207\/4 + -551. What is the second smallest value in 2, g, 0.3, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bgzz when four letters picked without replacement from {g: 4, b: 2, z: 3}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 349.4439 + -349.3. Let t = b + -0.152. What is t rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k - 27*k = -3816. Let j = k - 478. Put 4, -4, 7, j in descending order.\nAnswer: 7, 4, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103224012 (base 5) to base 12.\nAnswer: -195997","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 1012b?\nAnswer: -10126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + 4 - 4 + 4 - 4 - 2*w + (2 + 1 - 2)*(4*w - 3*w + 0*w))*(2 - 3 - 1)*(0 - w**3 + 0) to z*w**2 + s*w**4 + a*w**3 + q*w + i and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -19268 and -501003\/26 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8956858, 17913718, 26870580, 35827444?\n\"Answer: i**2 + 8956857*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1568) + -2*sqrt(1568))**2 - sqrt(1568)) + 0 + ((2*sqrt(352) + sqrt(352))*6 - sqrt(352))\/sqrt(11).\nAnswer: 40*sqrt(2) + 1568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6221, 8947, 11687, 14447, 17233, 20051?\n\"Answer: w**3 + w**2 + 2716*w + 3503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1917*x - 10302*x - 7146*x - 7082*x to the form z*x + k and give z.\nAnswer: -26447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -8*x**3 - x**2 + 16*x - 16. List the prime factors of t(-4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j - 24 = 19*j + 2*a, 32 = -5*j - 3*a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-12 - -5) - 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + t = 72. What is the highest common factor of t and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3564) - (sqrt(3564) + 0))**2 - -1*(sqrt(44) + (sqrt(1100) - sqrt(44))**2).\nAnswer: 2*sqrt(11) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 133*p - 39*p - 480340. What is the thousands digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-4)*s**(1\/2)*(s\/((s*s**(2\/3))\/s*s)*s)**(2\/105) assuming s is positive.\nAnswer: s**(-2201\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -879924888 + 1?\nAnswer: -879924887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75 - 253 + x - 37 + 3*x.\nAnswer: 4*x - 365","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - l + 4*l. Suppose l = j + 2*j - 15390. Round j to the nearest one hundred.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*g + 352*g**3 + 2*g**2 + 346*g**3 - g**2 + 344*g**3 - 1049*g**3 to the form u*g + r*g**3 + b + f*g**2 and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a centimeter in micrometers?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 0*t**3 + 0*t**6 - 17*t + 0 - 3\/2*t**4 + 0*t**5 - 17\/42*t**7 + 0*t**2. What is the third derivative of y(o) wrt o?\nAnswer: -1020*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 12*n**2 + 167*n - 9*n**2)*(-1 + n + 1).\nAnswer: n**3 + 167*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5*y\/(y**(-2)\/y*y)*y)**(-14)\/((y*y**(1\/13))\/((y*y\/y**0*y)\/y))**29 assuming y is positive.\nAnswer: y**(-1290\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 543634710 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-33)\/42 - 2\/(-7). Let x = -23 + 23.3. What is the nearest to b in 1, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**2 - 243. Let l(d) = 84054*d. Give l(p(i)).\nAnswer: 252162*i**2 - 20425122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -262, -255, -248?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 10*s. Let u(n) = 3*n - 28. What is f(u(y))?\nAnswer: 30*y - 280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 184 in 1, 3\/5, 4, 0.1, 0, 28.1?\nAnswer: 28.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.6 and 27953.\nAnswer: 27952.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3331913.\nAnswer: 13, 256301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06 - 0.36. Let n = 282.6 + -286.6. Which is the nearest to 2\/3? (a) -0.9 (b) n (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.194779 millimeters in nanometers?\nAnswer: 8194779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddatttd. Give prob of picking 1 a and 2 d.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v = -6*v - 28. Is v < 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1132 or 19260\/17?\nAnswer: 1132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2958)\/(-4))\/(-17)*(296\/(-6))\/(-37).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.63702 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -1423, 1\/4 in decreasing order.\nAnswer: 0.3, 1\/4, -1423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 526531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 35 = 4*h, 2*h - 5*h - 2*l = -32. What is the lowest common multiple of 8 and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-5)*130\/4. Let p = -5 + l. What is the remainder when p is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -927, -829, -741, -669, -619, -597, -609, -661?\nAnswer: -759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -30734, -32673, -34612, -36551?\n\"Answer: -1939*d - 28795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/834 and 5\/8.\nAnswer: 3336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/37, -5\/3, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 4*w + 2. Let h = -97 - -102. Give l(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10 + 6)\/(3 + -2). Let r = -2 - -3. Which is the smallest value? (a) 3 (b) x (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7*r - 7. Let v be s(6). Let z(a) = -a**3 + 20. Let g be z(0). Let c = -6 + g. What is the greatest common divisor of v and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/10 (b) 9 (c) 0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 12:47 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**24)**(-2\/43)\/(z**(6\/5))**19 assuming z is positive.\nAnswer: z**(-5152\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 178 - 314 + 26*o**3 + 180.\nAnswer: 26*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r + 30. Let q be h(-6). Let z be (-1)\/((-16)\/(-24))*16\/q. Factor -288 - 2\/9*g**z - 48*g**2 - 16\/3*g**3 - 192*g.\nAnswer: -2*(g + 6)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13d - 19?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-11 - -3 - (-7 - -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6 - (-105)\/315\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -13*u - 4*s + 180, -u + 3*s + 36 = 0. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of 0*p + 43\/60*p**5 + 1\/6*p**3 + 11\/24*p**4 + 4*p**2 + 73\/120*p**6 + 0 + 4\/15*p**7 + 1\/21*p**8. Factor f(c).\nAnswer: (c + 1)**3*(4*c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1493, -2883, -4057, -4907, -5325, -5203, -4433, -2907?\nAnswer: -517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3\/4))**(2\/27)\/(s*s**8\/s*s*s**(4\/5)))**(-14\/3) assuming s is positive.\nAnswer: s**(6209\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 9:48 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.027 + -0.073. Let f = -57 + 59. Which is the closest to 1? (a) f (b) h (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -15. Suppose -3*m + m + 84 = 0. Suppose 5*a - m = -o. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3e2 (base 16) to base 3\nAnswer: -1100211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17, 448, 1287, 2522, 4141, 6132, 8483?\n\"Answer: -2*l**3 + 216*l**2 - 203*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -0.2, -966, 163?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 y when three letters picked without replacement from sssyyyysyyfyss.\nAnswer: 9\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -34461.4473 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 122*n**4 + 286*n**2 + 273834 wrt n.\nAnswer: 488*n**3 + 572*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w - 48. What is m(-2)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 181222*d**4 + 6*d + 10297 wrt d.\nAnswer: 2174664*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4876 and 5984071.\nAnswer: 1219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1051 is divided by 505?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -40139, 8\/5, -2\/9, -1\/4?\nAnswer: -40139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 1348 = -344. Let t = 627 - g. What are the prime factors of t?\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 356 = -4*t + 6*t, -5*o = -5*t - 930. What is the greatest common divisor of o and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 827 - 347. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/4)\/((-1)\/(-4)). Let g(n) = -4*n**v + 18*n**2 + 6*n**2. Let m(i) = i. What is g(m(a))?\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -11. Let j be 8*-4 + (-2)\/l. Let y be j\/20 + 3\/2. Solve y*a - 3 = 3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 f when two letters picked without replacement from ccpyyfcycfckyykykyy.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*g - j + 11 = -171*g, 0 = 4*j - 20 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-1 - (-3 - 14)) + (6 - 9).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.252 - -4717.252. Let k = l - 4461.04. Let p = k + -261. Round p to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -324\/5 - -3581\/55. Calculate the common denominator of b and 65\/99.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12116 divided by 6058?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3910 divided by -34?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -7*c. Let u(g) = 17*g**2 - 11*g - 11. Suppose 2*v = -v + 4*y - 16, 0 = y - 1. Let h(o) = 6*o**2 - 4*o - 4. Let w(p) = v*u(p) + 11*h(p). Give m(w(l)).\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/8)\/((-108)\/(-54))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**2)**(11\/9)\/(x**4*x)**(-14) assuming x is positive.\nAnswer: x**(619\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 4. Let c(x) = -x**2 + 5. Let i(t) = 4*c(t) + 5*o(t). Let y(a) = 2 - 1469*a - 2 + 1480*a. Calculate y(i(m)).\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 1538183\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5646, 5648, 5650, 5652, 5654, 5656?\n\"Answer: 2*c + 5644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5605.364m?\nAnswer: 5.605364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 231268909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3160794.\nAnswer: 2, 3, 7, 13, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13716 and 15240.\nAnswer: 137160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9740 - -9750. Solve -11*i + 15*i - 5*d = -t, -5*d = 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*m + 11. Let o(d) be the third derivative of d**4\/4 - 13*d**3\/6 - 8*d**2. Is o(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 10*f - 9. Let v be h(14). Let a = v + -44. Suppose -2*z - i = -10 + 1, 2*z + 3*i - 19 = 0. Solve -x + z*y = -0*y - 1, 3*x - a = -2*y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 394 divide 311035420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.03 + -1. Let s = 156219 + -156224. Let a = 0.1 - 0.1. What is the nearest to a in s, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**4 + 0*r**4 + 4*r**4 + (2 - 2*r**3 - 2)*(-2*r - 4 + 4) + 10*r**4 + r**3 - r**3 to the form h*r + z*r**2 + o + a*r**3 + l*r**4 and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04 + 0.44. Let x = -51 - -51.5. Sort c, 3, x in descending order.\nAnswer: 3, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 958730, 958790, 958850, 958910, 958970?\nAnswer: 959030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r + 1. Let b(a) = 2370*a - 747. Let m(l) = b(l) + 9*x(l). Differentiate m(f) wrt f.\nAnswer: 2361","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + sqrt(153) - sqrt(17)))**2 - (4 + sqrt(170)\/sqrt(10)*-5).\nAnswer: 9*sqrt(17) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32169.\nAnswer: 3, 10723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-150)\/(-45) + (-4)\/(-6). Let -v*p**3 + 14*p**2 - 8*p**3 + 6*p**3 - 4*p = 0. What is p?\nAnswer: 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.34812 minus -1.12?\nAnswer: 24.46812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -4*g + 82, 51*f - 48*f - 70 = -4*g. Solve -21*a + 24 = -g*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 944250 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 5 (c) -3 (d) 1\/4 (e) 6782 (f) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6063370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -70, 0, 3.\nAnswer: -70, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5073724 decades to millennia.\nAnswer: 0.005073724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -3)*7 - -3. Is -1*(-1)\/(q\/(-172)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.58 - -0.68. Which is the nearest to 0.1? (a) -3 (b) 20 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 6:43 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -99160 less than or equal to -99160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(7)*-5 - sqrt(7) - sqrt(7)) + sqrt(63) + 0.\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 5 (b) 1\/3 (c) 0.382\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.20943 millilitres in litres?\nAnswer: 0.04520943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-20))**(-22\/3) assuming d is positive.\nAnswer: d**(440\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (629*h - 296*h - 429*h)*(-1 - 1 + 1) to the form t*h + v and give t.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 3*s + 36 = 2*a - 18*a, 0*s = -5*a - s for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i - 4. Let u(n) = -4*n + 5. Let q be 138\/48 - 3\/(-24). Calculate q*u(o) + 4*j(o).\nAnswer: 4*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*g + 3*v - 17 = 0, 5*g + 2*v = -33. Is g > 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 41*c**2 - 167*c - 3130. Give y(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 7:37 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 8:00 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((4 - 4) + 1)*-8. Let m = -38\/5 - c. Let -2\/5*r**2 + m*r + 0 = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q**3 + q**2 + 10*q - 4. Let x(c) = 9*c**3 - 3*c**2 - 21*c + 11. Give 5*o(a) + 2*x(a).\nAnswer: -2*a**3 - a**2 + 8*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17.55 + 0.45. Let i = o + -15. Which is the biggest value? (a) -5 (b) i (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 112890611?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 404258788 and 865?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 6:49 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -236, -87, 162, 511?\nAnswer: 960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (0 + sqrt(38)\/sqrt(2))) + -3*sqrt(76))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -26*-5*5\/(-25). Let d be 4\/2*(-247)\/p. Find the second derivative of -4*i + d*i + 13*i**3 - 12*i**3 + 9*i**3 wrt i.\nAnswer: 60*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*w + 120*w = -10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -29 + 7 + 17*w + w**2 + 10. Let j be r(-22). Calculate the highest common factor of 14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.013 + -0.313. Let p = 0.1 + -0.2. What is the smallest value in 4, n, p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.2 and -43981.\nAnswer: 52777.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dj when two letters picked without replacement from udjuudubr?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -3*j**7\/70 - j**5\/3 - 15*j**4\/8 + 2*j**2 - 11. What is the second derivative of d(v) wrt v?\nAnswer: -108*v**2 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 177.\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/5324640 and -25\/3194784.\nAnswer: 15973920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000782326 rounded to seven decimal places?\nAnswer: -0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5dd (base 14) to base 11\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 115 - 107. Suppose 4*y + k*y = 0. Suppose -v + 5*o + 1928 = y, 0 = 4*v + v + 5*o - 9490. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 587 - 3c2?\nAnswer: 1b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*z**2)*((z + 2 - 2)*(2 - 1 + 1) + 1 - z - 1) + (4*z**2 - z**2 - 5*z**2)*(z - 2 + 2) + (30*z - z - z)*(2*z**2 - z**2 + z**2).\nAnswer: 52*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -96482*d + 96482*d - 6918*d**2 in the form z + s*d + f*d**2 and give f.\nAnswer: -6918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -594 or -1\/406?\nAnswer: -1\/406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(28\/(-26))*588\/(-273)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2153087?\nAnswer: 59, 36493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 27 = -2*x - 25, 5*x + 7*j = -4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - u = 4*u + r + 2*r, 3*u = -0*u + r - 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45409.9999926964 + 45410. Round c to seven decimal places.\nAnswer: 0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g*o**2 - 17*g + 7*o**3 + 3*o wrt o.\nAnswer: -6*g + 42*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 + 48 - 48 + (4*w - w - 4*w)*(0*w + 0*w - 2*w) - 20*w - 7*w**2 + 20*w + ((-4 + 4 - 3)*(w - 3*w + 4*w) - 2*w + 5*w - 4*w)*(-1 + 1 - 2*w).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 - 142*j**3 + 2560*j**2 - 17792*j + 43008.\nAnswer: 2*(j - 48)*(j - 8)**2*(j - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 3*g = 4*k + 21, -2*g = -2*k + 14. What is the units digit of 206\/(-6)*(k + -19 + 7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3458*v = 3379*v - 4029. Which is the biggest value? (a) v (b) -2.2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20 - -859?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -68? (a) 5 (b) 166 (c) -3.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0794 - 0.0206. Which is the closest to v? (a) -3\/4 (b) -1\/4 (c) 3\/8 (d) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-26)\/8 + (-312)\/(-96). Which is greater: 7\/25 or f?\nAnswer: 7\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtwxwjwdxdwjxdwxw. What is prob of picking 1 x and 1 t?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 8:49 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 2)*(70642627 - 854*x + 3*x**2 - 70642627) to the form r + t*x**2 + d*x and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9731 and 1486660?\nAnswer: 390991580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10562101 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*d - 1 - 39*d - 14*d - 2*d + 3*d + 2*d + (2*d + 0 + 0)*(-1 + 2 - 2).\nAnswer: -33*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3 = 5, 4*q + 772 = 5*o. Is 52 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2553 a factor of 1119533434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 1. Let d(n) = -n**2 + 6*n + 2. Let k(u) = d(u) + 3*t(u). Let z be ((-1 - 5) + -1)*1. Let i be -8 + 10 + (-4 - z). Calculate k(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**3 + 2*i**3 + 0*i**3)*(3135 + 3310 + 3648)*(2*i**2 - 4*i + 4*i).\nAnswer: 40372*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is bc3 - -3?\nAnswer: bc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g*g*g*g*g\/(g*g\/(g\/(g**(-1\/4)\/g)))*g)))**8\/(g*(g**0*g)\/g)**(5\/13) assuming g is positive.\nAnswer: g**(645\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1864?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13 + (-2189)\/(-44))*88\/3. Let r be (-238)\/(-22) - (-196)\/w. Let s(u) = -u + 3. Determine s(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 455001 + 8*o**2 - 455001 + 83*o to c + f*o**2 + z*o and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*r**4 - r**3 - 8 - 2*r**3 + 5*r**3 - 722*r**4 - 498*r**4 in the form v*r**2 + n*r**4 + a + b*r + o*r**3 and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -6*o**3 + 4*o**2 + 6*o - 8. Let r(x) = 6*x**3 - 5*x**2 - 5*x + 7. Give -5*r(w) - 4*v(w).\nAnswer: -6*w**3 + 9*w**2 + w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -3*n - 7, 12*m + 7 = 7*m + n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -80030, -80025, -80016, -80003?\n\"Answer: 2*d**2 - d - 80031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 17*w - 9)*((-5 + 1 + 3)*(-1 + 1 - 2*w) + w + 1 - 1 - 3*w + 3*w - w + 3*w + 3*w - 5*w - w + 6*w + w).\nAnswer: -153*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.035? (a) 1\/9 (b) 1\/4 (c) 3 (d) 2\/11 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 4*k - 4*l - 660, 0 = 3*k - l - 499. Let n be 73*(-14 - -13) + (2 - 1). Let s = k + n. Calculate the remainder when s is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**8\/448 - n**6\/160 - 33*n**2\/2 - 25. Let b(h) be the second derivative of l(h). Let b(a) = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11245958.02 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54445 - -5226671\/96. Calculate the common denominator of 103\/132 and w.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -121, -104, -67, -4, 91?\n\"Answer: g**3 + 4*g**2 - 2*g - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55582 - -55581.7. Suppose 4*k + 6 = 2*j - 6, 2*j + 3*k + 9 = 0. Suppose 0 = 2*h - j*h + 4. What is the nearest to -0.1 in o, h, 5\/6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 295 + -197. Is 98 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2269 and 3.\nAnswer: 2.7731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 124 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/1398 and 6\/15993353.\nAnswer: 95960118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, 10, -4\/7 in decreasing order.\nAnswer: 10, -4\/7, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -101, -112, -127, -146?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*y - 178*y = -232. Which is the second smallest value? (a) y (b) 4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 12:28 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.10087 hours to nanoseconds.\nAnswer: 122763132000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18.7 - -45.7. Let b = g - 36. Which is greater: 6 or b?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 589 (c) 0.5 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-13)\/(i*i\/i**(2\/13)) assuming i is positive.\nAnswer: i**(-193\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*a + 63*a + 719 - 135 = 15*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 870 (c) -143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + -27. Suppose -n + 3*g + 2*g = 77, -3*n = 2*g + 299. Let d = n - -682\/7. Put -4\/7, d, c in increasing order.\nAnswer: -4\/7, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 56168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 10 (b) 0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -280*w - 980. Calculate o(-10).\nAnswer: 1820","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 30?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12551?\nAnswer: 7, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46100 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46.1 - -51. Let y = t + -2.9. Let f = 0.2 - 6.2. What is the third biggest value in -3\/7, y, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*f**2 - 5*f**2 + 156*f**2 - 77*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**5\/20 - u**4\/6 - u**3\/3 + u**2 - 2*u. Suppose -2*o = -7*o + 10. Give q(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 145724031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 4*i - i - 1)*(0 + 5 - 3)*(379*i + 359*i - 782*i).\nAnswer: -88*i**2 + 88*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (110\/(-33) + -20)*24\/(-7). Calculate the greatest common divisor of y and 390.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 + -1 - 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*k**2 + 190*k**2 - 7 + 8*k - 16*k**3 + 69*k**2.\nAnswer: -16*k**3 + 234*k**2 + 8*k - 7","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 - 6*d - 2. Let y = -4 + 8. Let p be t(y). Let q be (p\/(-5))\/((-1)\/(-5)). Is q greater than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49818134*s**5 - 8316099*s**2 wrt s?\nAnswer: -2989088040*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -16*n**4 + 72*n**3 + 652*n**2 - 756*n - 6. Let w(j) = -2*j**4 - 2*j**3 - 4*j**2 - 1. Let h(s) = -6*w(s) + y(s). Factor h(p).\nAnswer: -4*p*(p - 27)*(p - 1)*(p + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -5. Let y(q) be the second derivative of -q**3\/6 + 4*q**2 - 4*q. Let x be y(g). Sort x, 2, -3 in descending order.\nAnswer: 2, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00285604 rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (53*l + 100*l + 37*l + 62*l)*(0 + 1 - 2) - 3*l + l - l in the form o*l + h and give o.\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 4*h**2 + 9*h - 6. What is f(4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 237537 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 the thousands digit of 121728745?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*z = -3. Let v(h) = -3*h + 5*h - 3 - 3*h. Let s be v(-4). Solve r + r + s = -o, -2*o - 1 = z*r for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/15 in -4, 204, 0.172?\nAnswer: 0.172","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 16 - 351*j + 36 - 8.\nAnswer: -351*j + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) -2 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**2 + 46*b - 10. Let y be o(15). Suppose 48*h = 47*h + y. Let p = 10 + -9. What is the highest common divisor of p and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 38?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 88*d + 1928. Let q(h) = -4*h**2 + 352*h - 7708. Let i(k) = 9*b(k) + 2*q(k). Solve i(a) = 0 for a.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2576861 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2549 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 bigger than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7573*r - 5587.\nAnswer: -7573","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*z + 41. Let h(n) = 2*n**2 - 8*n - 6. Let c be h(6). Suppose 3*x = -0*x + c. What is the lowest common multiple of x and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -14. Let n = -5 - j. Let k = 17.3 + -17.08. Which is the second smallest value? (a) k (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2 = 2*c + 5*h, -4*c = -h - 18. Let s = 273 + -245. What is the remainder when 437\/c - 3\/12 is divided by s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -115 + 2 - (-23987)\/289?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - u + 1)*(25*u**3 - 9572*u + 9572*u) to y*u**2 + i*u**3 + k + f*u + n*u**4 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1896.5 - -1896. Let i = -3.1 + 3. Let j = i + 0.2. Which is the closest to j? (a) 0.1 (b) d (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1313 - 731. List the prime factors of x.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 2*y - 10. Let d be (-688)\/24*(-9)\/y. Let j = d - -37. Let w(r) = r**2 + 5*r - 7. Determine w(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 = -2*s + 70 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 1304 - 1166 = 0. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16969*x - 316809 = 921928 for x.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - -21. Suppose -k + 3*s + r = -2*s, -3*k + 156 = -3*s. What are the prime factors of k?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 4*q - 116, q - 326 = -17*o + 12*o. Does 33 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.77 + -8.57. Sort 4, 1, -5, r in decreasing order.\nAnswer: 4, 1, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a**2 - 36*a - 192. Give g(-10).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/6996 and 83\/42.\nAnswer: 48972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**5\/60 - h**4\/24 + h**3\/2 - 9*h**2. Let r be m(0). Let g be r\/(-2)*16\/6. Let n(w) = -3*w + 4. Give n(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c + 126 = 3969. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - c + 2*c)*(-161 + 2*c + 164 + 3*c).\nAnswer: -5*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -6*i. Let q(v) = -202*v. Give h(q(o)).\nAnswer: 1212*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 75. Let g be k(0). Suppose -132*a + 129*a + 135 = 0. Suppose 76 = u - 42*v + a*v, -5*v + 76 = u. Is u smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14623*j - 14449*j - 1 + 1 in the form g + q*j and give q.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -3*z**4\/4 - 104*z**3 + 975*z**2\/2 + 1284*z + 14175. Suppose v(f) = 0. Calculate f.\nAnswer: -107, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**2*q**2*t**3 + o**2*q*t**2 - 11*o**2*q - 65*o*q**2*t**3 - o*q**2 - 2*o*t - q*t**3 wrt q?\nAnswer: 4*o**2*t**3 - 130*o*t**3 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1505.860121 rounded to the nearest ten?\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -29*l**3 + 3*l**2 - 8*l - 11. Let c(b) = -10*b**3 + b**2 - 3*b - 4. Let q(f) = 3*a(f) - 8*c(f). Let j(g) = g**2 + 2*g - 9. Let n be j(-4). Give q(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1205752401.\nAnswer: 3, 7, 29, 659963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*11\/176*-1*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -o**4\/2 - 4*o**3\/3 - 3*o**2\/2 + 3. Let x be h(-3). Calculate the greatest common factor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millennium in years?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*g - 3*l = -6, 6 = -5*g + 3*l. Let p(b) = -b**3 + 16*b**2 + 17*b + 1. Let d be p(17). Is d equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 5. Let z(j) be the third derivative of -1\/30*j**5 + 0*j + 0*j**4 - 2*j**p + 0 + 1\/3*j**3. Solve z(k) = 0 for k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -144 + 7*w**4 + 144 - 5*w**3 + (-3*w**3 - w**3 - 6*w**3)*(-2*w + 0 + 0) - 2*w**4 - w**4 + 2*w**4.\nAnswer: 26*w**4 - 5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2682 (base 16) to base 8\nAnswer: 23202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 204605, 204662, 204727, 204806, 204905, 205030, 205187, 205382?\n\"Answer: s**3 - 2*s**2 + 56*s + 204550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 l when four letters picked without replacement from {j: 9, u: 2, v: 4, l: 4}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1879553221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**4*m - 2*c**4 - 64*c**3*m - 1083*m wrt c.\nAnswer: 8*c**3*m - 8*c**3 - 192*c**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 457 = 255*r - 826, -4063*r + 13 = -4058*r + 3*w for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 614809*i = 614265*i + 21760 for i.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70887, -141819, -212751, -283683, -354615, -425547?\nAnswer: -496479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, 0.48, 0.5, -2?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 686, 2634, 5810, 10214, 15846, 22706, 30794?\n\"Answer: 614*h**2 + 106*h - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.188 (b) -2 (c) 37 (d) 0.096\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.86353 litres to millilitres.\nAnswer: 33863.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tffaqqlt. Give prob of sequence fqq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 * 16\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 0 + 13*s + 8\/3*s**3 - 1\/2*s**2. Find the first derivative of v(w) wrt w.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of b**7\/105 - b**3\/6 + b**2\/2 - 5*b. Let h(w) be the first derivative of m(w). Differentiate h(r) with respect to r.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 186*f - 183*f - 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -251 - -255. Put 1, f, -5.8 in increasing order.\nAnswer: -5.8, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -449*u = -310*u + 3753 for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 35 - 15 = 4*l, 0 = -4*l - 2*q - 64. Let s be (12\/l)\/(6\/(-381)). Let a = s + -51. What is the third smallest value in 0.1, a, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6523?\nAnswer: 11, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6*q - 8. Let g be h(7). Let k(z) = z**3 + 3*z**2 + 2*z + 3. Let c be k(-2). Suppose -c*m + g = -20. What is the remainder when m is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of 16*i**7\/21 + 19*i**4\/4 + i**2\/2 - 120*i. What is the third derivative of l(o) wrt o?\nAnswer: 1920*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sa when two letters picked without replacement from {a: 2, s: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(1\/4))**(3\/17)*y*y\/(y**(-9)*y)*y**(-9)*y)**(-1\/15) assuming y is positive.\nAnswer: y**(-29\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -7*w**5\/20 - 26*w**4\/3 + 2*w**3 - 33*w**2\/2 - 321*w. Let g be y(-15). Solve 4*t - c = -0*c + g, 4*t = 5*c - 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4\/5)*u\/u**(6\/5))**(-1\/12) assuming u is positive.\nAnswer: u**(1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + a + 117 = 0, -240*a + 28 = -236*a. Solve 0 = -s - p*s + 96 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-97 - (3 - 0)) + (-200 - (11 + -209))?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/(48\/(-34)) + -41. Let u(a) = -4*a + 4. Let x be u(5). Let l be x\/v - (-47)\/(-12). Put l, 2\/7, 1 in increasing order.\nAnswer: l, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*2\/(-20) + (-6)\/(-30). Put b, -35, -5, -3 in decreasing order.\nAnswer: b, -3, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**9)\/c*c)\/(((c*c**(-3\/4))\/c*c*c*c)\/c*c))**36*(c**2*c)**(-43)*(c*c**5*c*c)\/c*c\/(c*c*c\/(c**(2\/3)\/c)*c*c) assuming c is positive.\nAnswer: c**(458\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 2*m - m)*(m - 1 + 1)*(-1 - 2 + 5)*(m - 2*m - 4*m).\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 146242748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40\/648*-18 - ((-7)\/3 + 1). Factor 0*v - 4\/3*v**3 + 2*v**4 + 0 + t*v**2.\nAnswer: 2*v**2*(3*v - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 3:57 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 923274 to the power of 1\/2, to the nearest integer?\nAnswer: 961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + -4*(sqrt(2448) + 1))**2 + 1*(sqrt(2448) - ((0 + sqrt(2448))**2 + sqrt(2448))*-4)*-4 + 3.\nAnswer: 4080*sqrt(17) + 157080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + 27.67. Let c = -3.67 + o. Suppose -2 - 4 = -2*p, 17 = -4*z + 3*p. What is the nearest to 0 in c, z, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/7))**(16\/3)\/(o**(-5\/6)*o*o**(1\/9))*(o*o\/(o\/(o**(-2\/15)*o))*o**(-5)*o)**(2\/17) assuming o is positive.\nAnswer: o**(-21983\/10710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 7*k**3 + 6*k**2 - 24*k - 7. Suppose 34 = -9*q + 26*q. Let f(s) = 3*s**3 + 3*s**2 - 11*s - 3. Let w(p) = q*n(p) - 5*f(p). Let b = -12 + 7. Give w(b).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 5*m - 1. Let n be (2 + -5)*1 - -1. Let y be x(n). Let q(u) = u**2 - u - 5. Is q(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*i = 3828 + 3140 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2945 + 2?\nAnswer: -2943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*3*sqrt(408) - sqrt(408))\/sqrt(12))\/(sqrt(32) + (sqrt(6)*-2)\/sqrt(3)).\nAnswer: 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 7*a - 163. Let y be o(23). Let u(d) = -d + 1. Determine u(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 15) to base 13\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20185*o*p**3*x**2 + 5*o*p**2*x**3 - 1856*p**3*x**2 + 33*x**3 wrt o.\nAnswer: 20185*p**3*x**2 + 5*p**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 + -32. Solve -3*l = 5 + w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ez when two letters picked without replacement from ggzemedd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 173 - 34d?\nAnswer: -1da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19472 - 19472.4. What is the nearest to -62 in 4, b, -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 70) + -4976 + 5078\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13474036, 13474038, 13474040, 13474042, 13474044?\n\"Answer: 2*j + 13474034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1125 - -2154. What is the highest common divisor of 84 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -220, 1671, 7 in increasing order.\nAnswer: -220, -3, 7, 1671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by 17035?\nAnswer: -17\/17035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 198.0238 + -0.0238. Let g = 170.5 + 40.8. Let i = g - n. Round i to 0 dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(300) + sqrt(300))*-4*1 - ((sqrt(300) + 2)*-3*-5)**2.\nAnswer: -68400 - 9000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 25150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 23*q - 46. Let m be (12\/(-9))\/(2\/42). What is the remainder when t(m) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - j. Let y(k) = 3*k**2 + 6*k + 4. Determine 6*d(w) + y(w).\nAnswer: -3*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12332, 24650, 36966, 49280, 61592, 73902, 86210?\nAnswer: 98516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 16 + (-90 - 35) + (25 - 4)\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 138443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8 + (-585)\/(-52))\/(2\/(-56)). Suppose -2*o = -0*o - 496. Let n = o + y. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 9 = -4*v, 7*i - 3*i + 19 = 5*v. Let f(u) = 44*u**2 - 3*u - 2. Is f(i) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 156309886 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 - 24 = -25*c - 70 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7860.811 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 5) + -6 - -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -17*f + 191. Let q be l(3). What is the greatest common factor of 175 and q?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -139*q + 115*q + 168 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -1687*o + 158571. Give j(94).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*m**2 + 31*m**2 + 32*m**2 + 51*m**2 to i*m**2 + s*m + h and give i.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -827283 by 1.\nAnswer: -827283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 j, and 1 d when three letters picked without replacement from {j: 2, z: 1, d: 4, s: 7}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3572557151 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*l + 2*k, -3*l - 22 = -l + 3*k. Let a be (l\/(-2) - 2)*2. Let p(g) = 4*g + 1. Let s be p(a). Solve 0 - 9 = 4*w - n, s*n = 25 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -11*(430\/55 - 8). Let m(o) be the first derivative of 7 + d*o + 5\/2*o**2. Give m(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 17. Suppose 2*f - 222 = -4*a + 178, 0 = -3*f + 4*a + 600. Let i = -186 + f. Give g(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -477*c**2 - 78 + 33 + 39.\nAnswer: -477*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 0 - (23 + -16)) + 40?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -2 + -1 - 25 - (-5 + 2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 609949.7 to the nearest 100.\nAnswer: 609900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1986765, -1986767, -1986769, -1986771, -1986773?\n\"Answer: -2*v - 1986763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (754375\/(-10) - (-9)\/3)*(-64)\/32 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-59)\/((-236)\/(-56)))\/((-22)\/(-77))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*0.037\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**5\/50 - o**4\/30 + o**3\/15 + o**2\/5 - o + 48. Let t(f) = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 + 7*f**2 - 27 + 27.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*a**3*o**3 - a**3*o**2 - 3*a**3*o + 4*a*o**2 + 5*o**3 wrt o?\nAnswer: -168*a**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 2781 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -21. Suppose 4*a + 12 = -b. Let g = 9 - a. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 - 374 = 41*f + 202 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**4 + 6*q**3 - 59*q**2 - 24*q + 220 = 0. What is q?\nAnswer: -11, -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 10*k**3 + 2*k**2 - 6*k + 2. Give g(-3).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 615 + -743. Which is greater: -126 or w?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, s: 1, l: 2, n: 1, e: 1, g: 1}. What is prob of sequence nl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2 = -p - 23, 5*d - 3*p = 13. Suppose -d*w + 199 + 586 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b\/(b\/b**1))\/b)\/b*b*b\/(b*b*b**(-11))*(b**(4\/3))**13 assuming b is positive.\nAnswer: b**(85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = x + 4, 2203*x - 5*b = 2204*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65482371 is divided by 149?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/4)*o*o**(12\/7))**14 assuming o is positive.\nAnswer: o**(83\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -628 - -627. Sort 1, m, 3, -2 in descending order.\nAnswer: 3, 1, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -6) + -39 + 43 - -35.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2. Let b(z) = z + 9. Let g be b(-8). Let t(a) = -2*a**3 - 2*a**2. Let y(r) = g*t(r) + 3*j(r). What is the third derivative of y(u) wrt u?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 + 25*b - 43. Let u(z) = -2*z**2 - 22*z - 34. Let q be u(-10). What is n(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*g - 57 = -0*y, 4*g - 102 = -5*y. Let s be (((-20)\/12)\/1)\/((-3)\/y). What is the highest common divisor of 4 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + (sqrt(684) - (sqrt(684) + 1)) - sqrt(684)*-1 - (sqrt(475) + sqrt(475) + 0 + (-2*sqrt(76))\/sqrt(4)))*-5)**2.\nAnswer: 50*sqrt(19) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1135\/4 - -284. Sort -0.5, -0.3, x, -21 in decreasing order.\nAnswer: x, -0.3, -0.5, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 11:36 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178056 a multiple of 242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 259530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l**2 - 8990708*l - 109189501.\nAnswer: -4*l - 8990708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*b**2 + 10*b**2 - b + 1 + 10*b**2)*(0*b - 2*b**2 + 0*b).\nAnswer: -10*b**4 + 2*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1322223 (base 4) to base 6\nAnswer: -100203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -50.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 7*z**2 - z. Let w(c) = -c**3 - 4*c**2 + 1. Let v be w(-4). Let j be u(v). Let g(p) = -p**2 + 6*p + 2. Give g(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 - -1 - (-11328 - -11256)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8875, -8876, -8877, -8878?\n\"Answer: -w - 8874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -158259 by -71.\nAnswer: 2229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 327774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354938 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -365, -277, -145, 25, 227?\nAnswer: 455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-5) + (-44)\/10. Let z = -765 + 765. Suppose -2*w + z = p - 11, 4*w + 4*p = 28. Put s, w, -1, -6 in ascending order.\nAnswer: -6, s, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 times 0.09?\nAnswer: 0.0144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33514403697 + 752.\nAnswer: 33514404449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (-4*2)\/(-1). Let p = g - 7. Let m(q) = 5*q - 6 - 4*q + 2*q - p*q. Calculate m(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -421619*w**3 - 433464*w**2 wrt w?\nAnswer: -2529714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 29 = -2*g. Suppose 0*r - p + 2 = -2*r, -3*r = -4*p + g. Is -205*(-1 - r\/3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*g - 762*g - 11424 - 12911 = 0 for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 223 (b) -0.6 (c) 1\/4 (d) -39 (e) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-181*n + 67*n - 188*n) + 8 + n - 8.\nAnswer: -301*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1348982137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -804471003 take away 9.39?\nAnswer: -804471012.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**3\/3 + 5*d**2 + 19*d. Let a be z(6). Put 1, -16, a in increasing order.\nAnswer: -16, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 6*w**5\/5 - 19*w**2\/2 + 23. Find the second derivative of h(s) wrt s.\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 8:56 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24\/(-10) - (-6)\/15. Let x = g + 12. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 - 707*g**2 + 1417*g - 709.\nAnswer: -(g - 1)**2*(g + 709)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f + 16. Let s be x(-13). Suppose 4*m = 3*g + 15, -s*m + g + 3 = -2. Let i be 1\/(-2)*6\/(-3). Solve h - i = -m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3906248, -3906249, -3906250, -3906251?\nAnswer: -3906252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p. Let c(h) = h**3 - 9*h**2. Let t be c(9). Let o be d(t). Put o, 4, -2 in ascending order.\nAnswer: -2, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 - -32.87. Let w = 26.646449 + -26.5163. Let c = w + g. Round c to 5 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -135, -167, -197, -225, -251, -275?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of s**6\/720 - s**5\/120 + 4*s**3 - 9. Let f(o) be the third derivative of v(o). Factor f(d).\nAnswer: d*(d - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-4 + 4 + 11)*(-1 + 0 - 1)*(0 + 21 + 1)*(-205 + 205 + 9*c).\nAnswer: -4356*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 0.46.\nAnswer: -0.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144.3*-0.1.\nAnswer: -14.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/787840 and 91\/576.\nAnswer: 7090560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8882, 3, -5.\nAnswer: -5, -0.8882, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2.9 times -97373\nAnswer: -282381.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 181, 0, 3, 1 in descending order.\nAnswer: 181, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2130*f**2*u + 2*f**2 - 3*f*u - 93*f + 23 wrt u.\nAnswer: -2130*f**2 - 3*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -9, 1, -34 in descending order.\nAnswer: 1, -1, -9, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x + 1. Let t be a(1). What is the least common multiple of (t\/(-6))\/((-1)\/2) and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 0*f**5 - 4*f - 3*f**2 + 0 + 0*f**3 + 0*f**4 - 7\/30*f**6. Differentiate c(y) wrt y.\nAnswer: -28*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -1. Let n = -124 - -124.2. Which is the nearest to n? (a) l (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 160*a - 131. Determine x(-4).\nAnswer: -771","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 546 and 26409390.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 3 - 11. Let a be 16\/56 + (-58)\/d. Is 669\/5 + a\/(-40) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*c - 4*c + 162 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -8*h**2 - 5*h + 2. Let c(f) = -7*f**2 - 6*f + 1. What is -5*c(d) + 4*r(d)?\nAnswer: 3*d**2 + 10*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1434 - -15?\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1935491 is divided by 141?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 r when three letters picked without replacement from nhrnn?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1065475?\nAnswer: 5, 17, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d**2 + 3*d**2 + d**2. Let k(j) be the third derivative of -7*j**5\/20 - 3*j**3\/2 + 37*j**2 - 3113*j. Give k(g(n)).\nAnswer: -21*n**4 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 b, 1 y, and 1 v when four letters picked without replacement from dvvby.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 608 and 168?\nAnswer: 12768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 155 + -122. Suppose 0 = -2*y + 9 - 3. Suppose 5*u + 2*b + 2*b - 472 = 0, -5*b = y*u - 278. What is the remainder when u is divided by l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -82, -4, 1, 4 in descending order.\nAnswer: 4, 1, -4, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*q**3 + 138*q**3 + 240*q**3.\nAnswer: 284*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*w = 142*w - 13. Suppose 2*h + 4 = -2*u, 2*h - 3*u - w = 3. Suppose 3*v = -h*k + 375, -517 = -v - 3*v + 3*k. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -247 in -0.5, 4, -1\/5, -5, -2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - n - 25 = 0. What is the common denominator of (-1 - 1)*31\/n and (38\/(-24))\/((-2)\/15)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 11 - 39 = 3*s, -4*a + 36 = -5*s. Suppose 147 = 4*j - 1. Suppose 0 = -2*n + j + 3. Calculate the highest common divisor of a and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(-1))\/(8\/((-24)\/(-6))). Suppose 0 = 3*h - 2*f - 273, 2*h + b*f = 2*f + 180. Is 31 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 23 = 9. Let r(u) = u + 1. What are the prime factors of r(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 40. Is 0.2 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/((8\/((-24)\/(-1)))\/(-18))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 9*p + p**2 - 7*p - p - 1. Give x(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -66\/173 (b) 2\/9 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18871887.5 rounded to the nearest 100000?\nAnswer: -18900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - t - 3. Let z be c(0). Let v be z - 8\/(-2) - -1. Suppose 0 = 5*g + 5*x, 3*g = 3*x - v*x + 12. Solve -g = n - 7 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide (-26 - (7 - 4))\/(-1*1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**3\/3 - a**2\/2 - 2*a. Let w(d) = 6*d - 3. Let o(g) = -7*l(g) + 2*w(g). Is 3 a factor of o(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2.96, -9, -34 in decreasing order.\nAnswer: -2, -2.96, -9, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by (-1)\/(-8) + (-1833)\/(-376)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o - 6*o - 3*o + (0 - 1 + 4)*(0*o + o - 3*o) + (0 + 0 + 15*o)*(-7 + 0 + 4) + 4*o - 2*o + 0*o.\nAnswer: -59*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(-o - 2*o + o) + 0*o + o - 3*o + 3*o - 27*o + 3*o.\nAnswer: -19*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 3*q + 20, q - 9 = 4*s - 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25982\/3 bigger than 8661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/(-10*(-13)\/375180)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t - 64. What is o(6)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 485069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/44 and 85\/736.\nAnswer: 8096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -1743*y. Let o(p) be the third derivative of 7*p**4\/24 + 862*p**2. What is n(o(t))?\nAnswer: -12201*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61*f**3*h + 5*f**2*h - 1587*h with respect to f.\nAnswer: -183*f**2*h + 10*f*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -515, -515, -511, -503, -491, -475, -455?\nAnswer: -431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/131378 and -79\/2990?\nAnswer: 15108470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 207*x**3*z - 1743*x**3 - 347*x*z - 37*x wrt x.\nAnswer: 1242*x*z - 10458*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12, -60, -202, -414?\n\"Answer: -35*m**2 + 33*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 2*w**3\/3 - 2*w**2 - 6*w - 93. Solve k(z) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -416246, -416245, -416244, -416243, -416242?\nAnswer: -416241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -14. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 15) to base 13\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 12) in base 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*v - 3 + 7, 5*v + g - 12 = 0. Suppose 36 = 2*z - v. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 78*h + 5371. Calculate the remainder when j(-67) is divided by -2 + (-1*46)\/(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53 divided by -30\nAnswer: 53\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -y**4\/6 - 2*y**3\/3 - y**2 - y + 39. Let b(n) be the first derivative of f(n). What is b(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 559 - 529. What is the remainder when 32 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 3*t + 2. Let l be g(1). Let b be 7\/1 - (1 + l). Is b less than 19\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1738*z = -1741*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26.6 - 29.6. What is the smallest value in 0.5, 5, -0.2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2768313 to the nearest integer?\nAnswer: 1664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 b when four letters picked without replacement from {b: 10, e: 3, i: 2, d: 1}.\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 39 = -1. Let r be 68\/3*(1432\/(-1790) - 166\/(-20)). Calculate the highest common factor of d and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5*y. Let w = -9 + 11.5. Let s = w - -0.5. Which is the second smallest value? (a) y (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.25 - -0.2. Let d = j + -0.25. Let y = -3.8 + -1.2. Which is the third smallest value? (a) d (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -16*r**2 + 6*r**2 + 5*r**2 + 3*r**2 + 53*r. Let x(u) = -8*u. Calculate i(x(p)).\nAnswer: -128*p**2 - 424*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7236 - -7307. Which is the biggest value? (a) 4 (b) j (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 12:30 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3871, -15540, -34987, -62212, -97215, -139996, -190555?\n\"Answer: -3889*r**2 - 2*r + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111000110 (base 2) to base 13.\nAnswer: -11a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 939 is divided by 63.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wkvc when four letters picked without replacement from {s: 2, v: 2, c: 4, w: 2, k: 2}.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 4*b - 8. Suppose -3*n + 105 = -57. Let q = -60 + n. Give l(q).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 1363 (b) 0.2 (c) 0.01 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -3811\nAnswer: 3811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -5*u + 16. Let j(a) = -a**2 - 9*a + 9. What is the remainder when 33 is divided by j(u)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 2. Let a = v - -12. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 3:04 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 447709720 to the nearest integer?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(100)\/sqrt(360)).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -6*f + 5*f - 78, 4*b + f - 57 = 0. Calculate the remainder when (7\/(-1))\/((-1)\/4) is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 29*j + 27*j - 74 = -32*j + 84*j, 4*y = 2*j - 52 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**3 - 13*w**2 - 10*w + 13. Let i(p) = -5*p**3 - 20*p**2 - 15*p + 20. Let j(u) = -8*f(u) + 5*i(u). Calculate j(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22573 + -22554. Solve -x = 2*b + 1, -u*b = -3*x - 18*b + 18 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -3.4. Let r(u) = -u + 1. Let f(i) = 2*i - 3. Let b(a) = 3*f(a) + 5*r(a). Let m be b(3). What is the third biggest value in o, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 13*q + 1. Let f be h(-13). Solve -f = 5*t - 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**7\/2520 - z**6\/144 - z**5\/120 - z**4\/2 - 2*z**2. Let j(s) be the second derivative of b(s). Calculate j(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 258\/(-8) + 5\/20. Let s = -31 - m. What is the smallest common multiple of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62381?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29608605 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 0.251 (c) -4\/9 (d) 1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 1390?\nAnswer: -1393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u**3 - 1568*u**2 + 6329*u - 2770. What is y(-396)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1030, -1124, -1384, -1894, -2738?\nAnswer: -4000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 3*n. Calculate the remainder when k(2) is divided by (2\/(-6))\/((-3)\/18).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*j + 282 = 0, -4427*p = -4432*p - 4*j + 1452. What is the least common multiple of p and 96?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 at most as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76 - 71. Solve 0*v - 2 = -5*n + 2*v, -10 = 5*n - f*v for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205710 divided by 6.\nAnswer: -34285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1681.47118 and -368261?\nAnswer: 369942.47118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h = -19*h + 9270. Let l = -2094 - h. Let j be l\/56 + 2\/(-14). What is the highest common factor of j and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.36 and 72226850432?\nAnswer: 72226850431.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2647780?\nAnswer: -2647780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87 - 87.7. What is the second smallest value in f, 0.1, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*a + 18 = -4*r, -10 = -2*a + 3*r. Let m be (3\/(-18))\/(a\/(-3)). Let d = 101\/55 + -18\/11. Put 0, d, m in ascending order.\nAnswer: m, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.36 and 9291222028.\nAnswer: 9291222027.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 18\/412201?\nAnswer: 18\/412201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -19*v. Let a(f) = 15*f. Calculate a(o(l)).\nAnswer: -285*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 282\/(-423)*(-3)\/(-2). Sort 12, -2, -8, z.\nAnswer: -8, -2, z, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 17, -1, 137, 7.3, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/630*3)\/((-2)\/(-3)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 0*v**2 - 2*v**2 - v + 4*v**2. Let w be r(1). Let g be 1 + (4\/(-10))\/(4\/5). Which is the nearest to g? (a) w (b) 0.1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17628 - 17627.2. Which is the fourth smallest value? (a) w (b) -0.5 (c) 5 (d) -4\/7 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 358*g - 353*g + 3*q - 14 = 0, 2*g = 2*q - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9055 + -9055.09747. What is u rounded to 3 dps?\nAnswer: -0.097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.6 and -214.1.\nAnswer: 556.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 606*v**5 - 101*v**2 + 2*v?\nAnswer: 36360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c - 10. Let f be h(13). Let z = f + 0. Find the second derivative of 8*b**3 - b + 2*b**4 - 7*b**z - b**3 wrt b.\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 75204*c**2*m**3*u**3 + 2*c**2*m**3*u**2 + c**2*m**3*u - 4*c**2*m - 90*c*m**3*u**2 + 4*m**3*u wrt u.\nAnswer: 451224*c**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 10:24 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 344210?\nAnswer: -344210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 165222 and 184518?\nAnswer: 25278966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 8. Suppose 5 = n, -4*n = -3*g - 2*n + 80. Suppose 0*b = 10*b - g. Sort a, -3, b in decreasing order.\nAnswer: b, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1590 and 4134.\nAnswer: 20670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 901*y**2 + 0 - 612*y**3 + 0 - 901*y**2.\nAnswer: -612*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-20)\/(-6) + -2)\/((-32)\/(-336)). Let s(m) = 15*m + 7. Let i be s(7). Calculate the greatest common factor of i and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**6\/180 + t**5\/30 - t**4\/12 - 43*t**3\/3 + 70. Let p(r) be the third derivative of n(r). Solve p(w) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**3 - 5076*h**2 + 5077*h = 0.\nAnswer: -5077, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210200202001 (base 3) in base 12?\nAnswer: 3a27a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w = -4, 0 = -o - 3*w + 790. What are the prime factors of o?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-672)\/(-32) + -18 + -12*2.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/15 + 540164\/12. Is 140\/(-350) - g\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1719 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -37. Let u = -2 - -6. List the prime factors of (-3)\/l + 39\/u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -4*f + 48. Suppose 0 = 2*q + q + f. Let y(g) = -3*g + 0*g + g. What is y(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/15 and -49\/1047.\nAnswer: 5235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + w = 0, 0 = -133*l + 138*l - w + 3*w - 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-106)\/68*2 + (-8)\/(-68)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/(-184) - 3087\/6440. Let l = 2\/115 + s. Let w(m) = m**3 - m + 9. Let o be w(0). What is the third biggest value in l, -1\/3, o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -0*o - 5*d - 10247, -4*d = 2*o - 10274. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -626 = -6*y + 526. Suppose 3*n = 14 + 4. Suppose -2*w = -n*w + y. Is 16 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3135 + 3207. Calculate the highest common factor of u and 2232.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 6*c**2 - 5*c + 5. Let i be s(4). Let j(w) = w**3 + 4*w**2 + 2. Let o be j(-4). Suppose -o*r + i = r. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 8 + 16. Let s(q) = -2*q - q**2 + 4*q + 3*q + 4 + 7*q. Let j be s(b). Solve -v + 3*v = j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1005?\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2405?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 94851042 and -2.\nAnswer: 94851040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/(u*u**(1\/10))*u)))\/(u\/u**4*u)*(u**(1\/2))**44 assuming u is positive.\nAnswer: u**(249\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1966381.\nAnswer: 1966381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/6886415 and -74\/45?\nAnswer: 61977735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 25 = 21 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1558997*h*t**5 - h*t**2 + 70*h*t + 15232*h wrt t?\nAnswer: -31179940*h*t**3 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/14*-1 - (-297)\/77.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17430.12271 to the nearest 10.\nAnswer: 17430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 157028*s - 1099163. Calculate p(7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/1834336 and 39\/386176?\nAnswer: 7337344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, t: 2, q: 1}. What is prob of picking 1 q, 1 t, and 1 b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 421035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 0)\/(3\/(-12)). Suppose h = -3*f + 6, 2*h - 19 = -4*f + 5. Calculate the highest common divisor of h and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 3*p**2 - 2*p + 13091. Let w be x(0). Round w to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/sqrt(588))\/(1*sqrt(99) - sqrt(11)).\nAnswer: sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 2*l = 5*b + l + 4, -4*b + 9*b + 28 = 7*l for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 235*q + 652 + 71*q - 655 in the form k + p*q and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 15 = 5*g, 2*g - 4*g + 3*s - 6 = 0. Let d = g - -8. What is the third smallest value in d, 5\/6, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1325 = -5*n + 2*r, 3*r - 523 = -5*n + 777. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x. Let n(o) be the second derivative of -o**3\/2 + 6*o. Give n(l(q)).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/4*(-1218)\/(-21). Let b = 206 + x. Solve b*r - 2 = 2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {d: 7, e: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/(w\/w**(2\/5))*w*w\/(w*w\/w**11)*(w**(-2))**1 assuming w is positive.\nAnswer: w**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 + 0)*(380 - 104 - 31) + (4 - 1 - 1)*(0 + 3 - 4))*(-4*q + 2*q - 6*q - 6*q).\nAnswer: -10262*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/5)\/((-168)\/(-210))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*a + 5*a + 350. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -352*a**5 - a**4\/4 + 55*a**2\/2 - 9*a + 3809. What is the second derivative of d(f) wrt f?\nAnswer: -21120*f**2 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2909016 and 7999794.\nAnswer: 31999176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - 4. Let s = -3 - k. Suppose 4*i + 2*g + 8800004 = 0, -s*i - 3609471 - 2990521 = -4*g. Round i to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 48*s**2 - 86*s + 18. What is the thousands digit of w(42)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 11*w**3 + 3*w**2 - 3. Let a(x) = 120*x**3 + 32*x**2 - 32. What is 3*a(o) - 32*b(o)?\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 45 = 3*c, -15 = 2*m - 4*c - 39. Suppose t + m = 3*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -10*h + 1. Let r(c) = 32*c - 577. Let q be r(18). Suppose 0 = -2*f - 5*i + 2, -12 = -f + 3*f - 2*i. Let y(a) = a. Calculate f*y(b) + q*n(b).\nAnswer: 6*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-192)\/91)\/(-4)*1239\/708?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8502 and 77935.\nAnswer: 467610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 2*m**2 - 2*m - 5. What is the remainder when (-72)\/(-6)*5 - 4 is divided by l(4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20140728, 40281473, 60422218, 80562963, 100703708, 120844453?\n\"Answer: 20140745*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3669 and 3.\nAnswer: 11007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - (-1 - 0))\/(2\/(-16)). Suppose -38 = t*g - 102. Let b(r) = r**2 - 9*r - 7. What is b(g)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83806 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o**2 - 7*o - 5. Let i be h(-2). Let l(k) = k**2 - 10*k - 18. List the prime factors of l(i).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 1, -2*v - 2*l = -0*v - 26. Suppose 0 = o - v*o - 88. Is -9 at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than -6321\/4549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 1 + 14 = -j, 4*t = -3*j - 27. Let y = -3 + 1. Is y at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 561 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**5 + 112170*k**4 - 1048396899*k**3 - 2097130320*k**2 - 1048621248*k.\nAnswer: -3*k*(k - 18696)**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*p**2 + 2 - 25*p**2 + 58*p**2.\nAnswer: 63*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220323124 (base 5) to base 13.\nAnswer: -272987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.08, 15 in descending order.\nAnswer: 15, -0.08, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23625 and 4347.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 32. Which is the closest to u? (a) 29 (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -196 and -0.09.\nAnswer: 17.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2917631.\nAnswer: 227, 12853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 2 + -4 + (43 - 15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -16. Suppose s = 4*m - 0*m - 84. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1441 is divided by 244.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59 and 918689?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1197908 + -168?\nAnswer: 1197740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -5. What is the smallest value in n, -0.1, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 332063 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 489*c - 6633. What is y(20)?\nAnswer: 3147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3748600?\nAnswer: 2, 5, 18743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 22*v**2 + 22*v + 56. Let x be m(-21). Let z be (x\/15)\/7*15. Solve 3*r - 3 = -z*y, -2 - 2 = 2*y - 4*r for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3532, -3513, -3492, -3469, -3444, -3417, -3388?\nAnswer: -3357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1666.001 + -1659.2. Let f = b - 6.8. What is f rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27.9999896 + -28. What is o rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 13 = 27. Suppose 2*v = -3*v + t. Suppose -2*g**4 + 0*g**4 - 2*g**3 + v*g**3 = 0. What is g?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1188966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/3 (b) 591 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12413202 (base 5) to base 2\nAnswer: 11110000000101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (9*18\/(-648))\/(36\/240)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 185, 611, 1435, 2789, 4805, 7615, 11351?\nAnswer: 16145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2 = -4*g, -3*g - 13 = -5*b + 6. Determine u so that -8\/3 - 2*u**g + 16\/3*u = 0.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, k: 3, c: 1}. Give prob of sequence ckk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j - 1. Let v be o(1). Let u = -3 - v. Is 1 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 2. Give l(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.199 * 5.\nAnswer: 0.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**4\/2 + 5*d**3\/2 + 13*d**2\/2 - d\/2 - 3 = 0.\nAnswer: -1, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1298089631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d - 9. Let l be a(7). Suppose -3*g + 1102 = v, 4*g + 8 + l = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j - 14 = -16*j. Suppose 0 = y - 6*y. Put y, j, -4, 4 in descending order.\nAnswer: 4, y, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h + 4*h + 0*h + 0 + h + 0 + (3 - 3 - 1)*(-2*h + 4*h - 3*h) + 0*h + 0*h + 2*h + 2 - h - 2 + (0 + 6 - 3)*(-5*h - 2*h + 5*h) - 2*h + 3*h + h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -172 - -114. Let j = 872\/15 + p. Which is the third smallest value? (a) -2 (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -i + 2*h - 7, 3*h = -3*i + 12. Let n be 14 - (2 - (2 + i)). Let f = -5 - -8. Solve o - n = 4*q, o - q = f*o + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/7)*r)\/r**11)**(-2\/27)\/(((r\/r**0*r*r)\/r)**(-14\/3))**39 assuming r is positive.\nAnswer: r**(68932\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**3 + 0*v**3 + v**3 + (297*v - 125*v - 9*v)*(3*v - 3*v - 2*v**2).\nAnswer: -328*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -58*b**3\/3 + 61. Let k(x) = 2*x**2. Calculate h(k(r)).\nAnswer: -232*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -1980*q + 51426. What is b(26)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.05, 13, -144?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -24, 1, 0.6, 3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**4 + 5*i - 5*i)*(3*i - 3*i + i) + (-4 + 4 + 1)*(0*i**5 + 5*i**5 + 0*i**5).\nAnswer: 7*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*t - 31*t = -20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -267*(-2 + 2 - 1). Suppose v = -2*k + h, -k + 3*k = 4. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -1\/24 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 0.048, 8\/13, -0.2, 3\/7 in increasing order.\nAnswer: -0.2, 0.048, 3\/7, 8\/13, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 352?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13690748579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -57*s**2 - 703536*s + 15505380.\nAnswer: -3*(s - 22)*(19*s + 234930)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 15*t + 23. What is m(-10)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 i, 1 y, and 1 s when four letters picked without replacement from {s: 4, e: 3, i: 1, y: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4304 take away -8?\nAnswer: 4312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -8. Let i be 28\/6 + g\/12. Suppose 0 = -i*h + 59 + 9. What is the remainder when h is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -17*b - 87. Let u(d) = 1. Let f(m) = c(m) + 5*u(m). What is the units digit of f(-19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10209600.\nAnswer: 2, 3, 5, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 14*n - 6 = 0. Suppose -5*s - 4*z - 75 = z, 1 = s - 3*z. Let a = n - s. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(25)\/sqrt(5)*-2 + sqrt(5) + 4 + 2 + sqrt(5) - (0 + sqrt(245) + -3)*-2)*4.\nAnswer: 56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -684047*a**3 + a**2 - a + 1570176 wrt a?\nAnswer: -2052141*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1806 + -1770. Calculate the remainder when 86 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -w**5\/120 - w**4\/18 + 53*w + 80. Let x(h) be the first derivative of r(h). Factor x(i).\nAnswer: -i**2*(i + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6131, -6159, -6199, -6257, -6339, -6451?\n\"Answer: -j**3 - 21*j - 6109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 2, -12512247.\nAnswer: -12512247, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 3. Let x(u) = 4326*u**3 + 6180. Calculate 2060*f(r) + x(r).\nAnswer: 2266*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -25, -4, -2, 114, -0.4, -2\/39, 3\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -163169381.2000078 - -163169349. Let l = -32.2 - k. What is l rounded to seven dps?\nAnswer: 0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -6*j + 1 + 0 - 25*j. Let y be d(1). List the prime factors of ((-3)\/9)\/(2\/y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**5*z)\/((z*(z*z\/z**5)\/z)\/z)*((z**8\/z)\/z)\/z*z\/(z\/z**(-4)))\/((z\/((z\/(z*z**1))\/z*z*z))**(-1\/10)*((z\/z**(-2\/3))\/z)**33) assuming z is positive.\nAnswer: z**(-109\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (118\/4)\/((-1)\/(-10)). Suppose 2*a - a = 4. Suppose 0 = -h + 1, a*h - 3*h = -3*r + q. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/558 and 137\/1162602?\nAnswer: 36040662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**4 - i**3 + i**2 - i + 1. Let r(u) = -163*u**4 + 5*u**3 - 5*u**2 - 3. Let o(m) = r(m) + 5*y(m). What is the second derivative of o(g) wrt g?\nAnswer: -1896*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292.2 times -0.01?\nAnswer: -2.922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 10543725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11\/7 + -51\/28. Which is the nearest to 1\/4? (a) -4 (b) 0.1 (c) s (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 47, 54, 65, 80?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 6*b**2 - b + 3. Let v be 15*(-3 + (-85)\/(-25)). Give s(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4267 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27.4 + 1.4. Let x = h - -21. Let u = -3 - -2. What is the nearest to -0.2 in u, 1, x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1041161 (base 7) to base 2\nAnswer: 11111001011001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -3\/4, 4, 5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 1)*-9*5\/180 + 18 + -8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 946*h - 152. Let k be l(8). Suppose -21*s + k = -9*s. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**2 - 144*p + 2437. Does 6 divide k(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*i = -3*n + 22, 0 = -4*i + 16. Let u be 2 - n - 2\/(0 - 1). Let r(w) = 2*w - 1. Determine r(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -558489219015 and -10.4.\nAnswer: -558489219025.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1857570 divided by -47630.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3011118, -3011120, -3011108, -3011076, -3011018, -3010928, -3010800?\nAnswer: -3010628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 2281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 377 - 406 - 22*x**2 - 7*x - 7*x. What are the prime factors of t(-22)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1311*(-2)\/76)\/(63\/6)?\nAnswer: -23\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times -743097.9\nAnswer: 14861.958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 198 + -192. Which is greater: 32 or w?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 1033*f + 6200. Let d be t(-6). Let a(u) be the first derivative of 1\/2*u**d + 1\/8*u**4 - 4 + 4*u - 5\/6*u**3. What is g in a(g) = 0?\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15882, -15879, -15878, -15879, -15882, -15887?\nAnswer: -15894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/2 (b) 0.4 (c) -3 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 14*o**2 - 12*o - 7. Let k be f(13). Differentiate p**2 - k*p**2 + 3 - 2 with respect to p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9646494, 9646504, 9646514, 9646524?\n\"Answer: 10*g + 9646484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -19. Calculate the remainder when 7 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ijtztztijtjizjjjz. Give prob of sequence zij.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = i + 25, 8*s = -3*i - 0 + 17 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -19771 and 0.1107663374.\nAnswer: -19770.8892336626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -467 + 467 - 5*n to y*n + l and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (33 - -38) + -46.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -289, -237, -231, -295, -453, -729, -1147?\n\"Answer: -4*n**3 + n**2 + 77*n - 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2022049, 2022042, 2022025, 2021992, 2021937, 2021854, 2021737?\n\"Answer: -i**3 + i**2 - 3*i + 2022052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -0.18, -25.\nAnswer: -25, -5, -0.18, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 174 + 48. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + -4*sqrt(132)\/(sqrt(18)\/sqrt(6))*1*5 + 3.\nAnswer: -40*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 21*u + 31. Let w be n(-19). Let k be ((-4)\/3*3\/(-2))\/w. Which is the third biggest value? (a) 0 (b) 3\/5 (c) k (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 n when two letters picked without replacement from nnnf.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 + -70. Suppose 0 = 4*t - m + 24, t + 9*m - 3 = 7*m. Which is the third biggest value? (a) t (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 9, 13, 17, 21?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410916380 is divided by 473?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58596727 to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -11*d**4\/16 + d**3\/6 - 34. Suppose s(q) = 0. Calculate q.\nAnswer: 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18933*l - 21773*l - 4*l**2 - 403280 - l**2.\nAnswer: -5*(l + 284)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/8)\/((375\/(-2000))\/(31\/(-2)))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -6*g. Let u be n(12). Let m be ((-6)\/8)\/(27\/u). What is the second derivative of 14*v**2 + 0*v - 13*v**2 + m*v wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.58 - -0.75. Let q = -1.33 - s. Which is the fourth biggest value? (a) q (b) -1 (c) 1\/4 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9001826 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 6600, -0.5, -0.01525 in decreasing order.\nAnswer: 6600, -0.01525, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0 (b) 0.4 (c) -1 (d) 0.413 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - r**2 + 5*r + 5. Let z be f(-1). Solve z = -l - 67 + 63 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 273626595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 749462 is divided by 328?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 87899861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 54*(-3 - 0)\/(18*(-33)\/132)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -772708, 1, -1, 3\/11, 0.9?\nAnswer: -772708","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7, -3, -13?\n\"Answer: -10*k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x + 41. Let m be p(-13). Let h be (-6 + 0)*(-50)\/15. Let t be h\/4*(3 - m). Solve i - 16 = t*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -12*o - 32. Let i(y) = -y**3 - 22*y**2 - 20*y + 5. Let s be i(-21). Let l be t(s). What is the greatest common divisor of 40 and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 9601817.\nAnswer: -2\/9601817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1413 = 9*c + 288. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.55921 rounded to two decimal places?\nAnswer: 1.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 154*k**3*w + 3*k**2*w + 2*k**2 - 9*k wrt k.\nAnswer: 924*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0*d + 166. Suppose z + 39 = d. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 314 (base 6) to base 11\nAnswer: a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 3*p + 20, -7 + 14 = -p + 2*s for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1157, 2334, 3511, 4688?\nAnswer: 5865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201000 (base 3) to base 16.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -278 + 360. What is the remainder when w is divided by 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*g = -20. Let i = g - 0. Let c be -1 - 0 - (-2 + -3). Sort i, c, 1.\nAnswer: i, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(1584) + (sqrt(1584) - 2*sqrt(1584) - sqrt(1584))) - sqrt(1584)) + sqrt(1584) + -3)**2.\nAnswer: -360*sqrt(11) + 39609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 9*w**2. Let s(t) = -13834975*t**2. Calculate s(y(x)).\nAnswer: -1120632975*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 - 62. Let n = h - -42. Suppose n = 3*a - 3*t, -7*t + 3*t = -4. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -0.5 (c) 1\/14 (d) 38 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41836*q**2 - 20890*q**2 - 20951*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/70 + (-62)\/70.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*s = -12. Suppose 105 + 30 = s*d. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.08 - -5. Let h = -0.047 - -2.967. Let j = r - h. Which is the closest to 2\/3? (a) -5 (b) 1\/8 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 118 - 14. Suppose -o - 2 + 1 = 0. Let c(s) = 10*s**2 - 2*s - 1. Let k be c(o). Calculate the highest common divisor of k and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 246, 490, 734, 978?\nAnswer: 1222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**3 - b**2 + b**2 + 371*b - 371*b + 19*b**3 + (b - 3*b + 0*b)*(-2*b**2 + 3*b**2 - 2*b**2) + (4*b - 4*b - 2*b**2)*(2 - 2 + 1)*(b - 16*b - b).\nAnswer: 52*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - -38. Let f = 70 - u. Suppose 5*w = h - f, -5*h + 3*w + 2*w = -45. Solve -4*p - 2*c = -14, -2*p - p = -h*c - 17 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 121\/99 - (-1512)\/(-162)*(-425)\/(-30)?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1205790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 23*r - 132. Let g be j(13). Suppose 4*f = -0*f. Let q = 3 - f. Which is the nearest to q? (a) g (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1171 - 48?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1619\/12 - -341\/3. Let l = -21 - x. Which is the nearest to l? (a) -4\/3 (b) -2\/3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 6*j + 652 = 0. Let p = j - 324. Suppose 0 = 4*g - 9*g + 5*d - 50, 3*d - 9 = 0. Sort p, -0.01, g in decreasing order.\nAnswer: p, -0.01, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-15)*-1 + 12\/5. Let l be 1*1124*(-1)\/z. Let y = -399 - l. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*k + 53*k + 4*a - 8 = 0, a = 2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -13*o**4 + 5*o**3 + 9*o**2 - 8*o - 932. Let x(u) = u**4 - u**3 + 3*u**2 + u - 2. Let i(s) = -v(s) - 5*x(s). Find the first derivative of i(l) wrt l.\nAnswer: 32*l**3 - 48*l + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58409, 467332, 1577287, 3738794, 7302373, 12618544?\nAnswer: 20037827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3664764 and 270?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) -4 (b) 222.49 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 74*f**2 + 152*f - 137. Determine o(-76).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**5\/20 + b**2. Let d(o) = -1195*o + 12. Let q(j) = -12948*j + 130. Let w(y) = 65*d(y) - 6*q(y). Calculate n(w(x)).\nAnswer: -507*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gdrd when four letters picked without replacement from {r: 1, i: 3, q: 1, g: 4, d: 4}?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*g**3 + 378881*g**2 - 609241941.\nAnswer: -75*g**2 + 757762*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-1))\/(1*(-11)\/(-55))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + (sqrt(3)*-2 + -1)**2 - (-1*sqrt(9))\/sqrt(3).\nAnswer: 6*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5637*m**3 + 5*m**2 - m - 129. Let s be z(7). What is s rounded to the nearest ten thousand?\nAnswer: 1930000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*h - 4*v, 5*v + 15 = 10*v. Suppose -186 = -c - y - 2*y, 0 = -h*y + 20. List the prime factors of c.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 28.83126 and 5227.\nAnswer: 5255.83126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -637 + 637. Sort w, 3, 1, 90 in ascending order.\nAnswer: w, 1, 3, 90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -29*s**3 - 62*s**2 - 7. Let l(h) = -14*h**3 - 31*h**2 - 3. Let a(j) = -3*d(j) + 7*l(j). What is the third derivative of a(t) wrt t?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13367*b - 16183*b + 40719*b.\nAnswer: 37903*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m**2 - 209146*m + 105897*m - 6*m**2 + 103249*m.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*g - 4*x, 0 = g + 3*x + 1. Suppose g*t = 4*t + 106000. Round t to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 12. Suppose 0 = -z*s + 1 - 5. What is the units digit of 3 - -1*(s + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -70, 2\/87, 0.2?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + ((-4)\/(-42) - 0). Let p be 8\/6 + 2\/(-6). Which is bigger: c or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6.4 and 2.1.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1809)\/(-36)*(-88)\/(-6). Calculate the highest common divisor of 67 and f.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, 2531\/2, -25, -3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 29*m. Let f be -8 + 6 - 4\/(-1). Let x(z) = 3*z**2 - f*z**2 + 0*z**2 + z**2. What is x(k(q))?\nAnswer: 2*q**4 - 116*q**3 + 1682*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j. Let h(m) = -m**2 + 4*m - 2. Let p be h(2). Let t(a) = 2*a - p*a + a**2. What is z(t(o))?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 904, 1809, 2714, 3619?\n\"Answer: 905*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9691 + -9857. Put 5, x, 8 in descending order.\nAnswer: 8, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1243\/511 - 20\/219. Let f = x - -20\/7. Suppose 0*q + 3 = 3*q. Is f < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -745*i**4\/12 + i**3\/6 + 437*i**2\/2 + 499*i - 1. Find the second derivative of v(t) wrt t.\nAnswer: -1490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 1171298078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -139 or -121?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**13)**25\/(d**(-27)\/d**(-1\/29)) assuming d is positive.\nAnswer: d**(10207\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (20\/10 + -3)\/(11\/2)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**4 - 3*a**4 + 4*a**4)*(-14 - 13 + 10)*(0*a + 2*a - 3*a) - a**2 + a**2 + 2*a**5 + 5*a**2 - 5*a**2 + 6*a**5.\nAnswer: -26*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 23034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_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: How many months are there in 52\/3 of a century?\nAnswer: 20800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -663 - -690. What is the greatest common factor of 252 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/1938 and -113\/7636944?\nAnswer: 145101936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 24*q - 3. Let y be m(2). Suppose 5*d - 25 = y. Let t(j) = -j**3 - 60*j**2 - 199*j - 4799. Let h be t(-58). Are d and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 + 312*b - 154*b + 2*b**3 - 171*b + 2 to z*b + n + v*b**2 + h*b**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -192*w - 1\/4*w**3 - 12*w**2 - 1024 = 0. What is w?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, d: 2, f: 3, y: 2, n: 7}. What is prob of picking 1 x and 1 y?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvvvv. What is prob of sequence vvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 - 395860*o**2 + 3562335*o.\nAnswer: 5*o*(o - 79163)*(o - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (120\/28 - 4)\/(4\/84). Let q be 5*(-4)\/10 + r. Solve q*d + d + 15 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4\/3)\/d**(-7))\/(d**(2\/5)*d*(d*d**(-2))\/d))**0 assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24460531 (base 7) to base 5.\nAnswer: -1030341313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7\/5 (b) 180 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 64630668?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.03, 3\/8, 3\/4, -12, 3588?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-54))\/((-30)\/9) + 4811\/255?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 53) + 3052 + -3000?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43960?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - 48. Suppose 5*j = 2*g + 164, 4*j - 196 + 51 = -3*g. Let q = j + s. Is 13 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*h**2*z**2 - 124*h**2*z + 13731638*h*z**2 + 3*z - 12538 wrt z?\nAnswer: -22*h**2 + 27463276*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 1:59 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 14*a**2 + 14*a - 3. Suppose 3*k + 0*k = 39. Suppose 34 = 62*v - 60*v. Calculate the remainder when v is divided by b(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 3 (b) 9 (c) 118\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22875 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 0 - (-3 - 17). Let g = d + -26. What is the tens digit of (-1 - -24)\/(g - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5*r**3 + r**2 - 24*r + 43. Calculate m(2).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.37 + -19.63. Let n = 20.1 + s. Which is the closest to 2? (a) n (b) -0.3 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.143 (b) -5 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -39*p - 1400. What is the least common multiple of z(-36) and 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -2 (c) -255\/1172 (d) 1\/4 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -676996 and 288338.\nAnswer: -388658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2 + 37936*i - 359785024 = 0.\nAnswer: 18968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0*a + 3. Is (-798)\/a - 2*6\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1030\/1045 - 12\/11.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 73 = 1. Let v = -15 + 10. Let f = v + k. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -710 - -708. Suppose 2*p - 4 = y - 16, -26 = 4*p - 3*y. Let f = 0.6 - 0.8. What is the closest to 2\/7 in p, f, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13 + 1*(-1)\/(-1). Let s = 262 - -43. Let z = -263 + s. What is the highest common divisor of z and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46463.05ml in litres?\nAnswer: 46.46305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -138574?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 595908 is divided by 7205.\nAnswer: 5098","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 403*u = 401*u, 2*s - 8 = -5*u for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**3\/3 - 3*a**2 + 4*a + 6. Let x be m(-6). Suppose 2*w - x*w = 0, -2*s = 3*w - 4. Solve s*l + 0 - 2 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d - 46. Suppose -2*s - s + 5*n = -1, 0 = 4*s + 5*n - 13. Calculate the smallest common multiple of f(51) and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 373*k**6 + 49780*k**5 - 41*k**2 - 67*k - 187?\nAnswer: 44760*k**3 + 2986800*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/4 - (-5)\/(-4). Let c = 186.7 + -319. Let j = c + 132.8. Which is smaller: w or j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 54810264?\nAnswer: -54810263.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2604 and 24276.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -301323323 + 0?\nAnswer: -301323323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 2:08 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*a - 45 - 21 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234 + 596 - 362 + 20*o**3.\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 19*j**2 + 0*j + 0 - 4\/15*j**5 + 0*j**4 + 0*j**3. Let t(d) = -d. Determine t(n(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.57 times 447?\nAnswer: 16346.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 6) to base 10.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69 - 94. Let y = c - 54. Let d = 78.999999836 + y. What is d rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 9) to base 2.\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38406.04 meters in millimeters?\nAnswer: 38406040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.87216 minutes to milliseconds.\nAnswer: 5992329.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oplplfj. What is prob of sequence flp?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2 + 56686*y + 566660 = 0. What is y?\nAnswer: -28333, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = -m. Let q be -16 - -4 - 2\/m. Let k = -9 - q. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-7 + 0 + 6 + -4) - 11.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 10*y + 16. Let q be n(-8). Let r(d) be the first derivative of 2\/15*d**5 + q*d**3 + 1\/6*d**4 + 0*d**2 + 2 + 0*d. Factor r(s).\nAnswer: 2*s**3*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 10:09 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 + (-1624)\/(-14) + 9. Sort -1, t, -2, -3.\nAnswer: -3, -2, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2))**(-2\/153)*(((s*s*s**(-12)\/s)\/s)\/s)\/(s**(-3)*s) assuming s is positive.\nAnswer: s**(-1679\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**5\/2 - 563*w**4\/2 + 1657*w**3\/2 + 12955*w**2\/2 - 21025*w + 14000 = 0?\nAnswer: -5, 1, 2, 5, 560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9087674\/233 or 39003?\nAnswer: 39003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3529657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/8)\/((-6)\/(-8)). Suppose n*x - 20 = -3*r, 1 + 59 = 4*x + r. Let k = 21 - 13. Calculate the highest common factor of k and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 15*c - 22. Let g be o(13). Suppose -g*u + 2*f = -6, 5*f - 3 = -4*u + 8*u. Calculate the least common multiple of u and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 2*c + 36. Let w = 1 - -1. Suppose -4*r = -5*b - 217, w*b + 1 = -c. Is r a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3711494 to the power of 1\/3, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 7. Suppose k*m + 2*u + 6 = -1, -u = 5. Solve 5*b = 3*n + 16, -n + m + 5 = 4*b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 n when three letters picked without replacement from {c: 2, y: 1, o: 3, p: 1, b: 2, n: 3}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-10)\/2)*5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2895877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/7 - 93*j\/7 + 90\/7.\nAnswer: 3*(j - 30)*(j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = y + y. Let f = y - 29. Differentiate 12*o - 2 + o**3 - f*o with respect to o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -3*g**2 - 30*g - 17. Let t be v(-5). What is x in 0 + 1\/3*x**4 + t*x + 0*x**2 - 2\/3*x**3 + 1\/3*x**5 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 7*x**2 + 825*x - 6625. Calculate the remainder when 43\/(-2 - -1*3) is divided by f(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 2. Let x be o(0). Suppose -c + 9 = x*c. Suppose 3*y = q + c*q + 143, -2*y = 4*q - 82. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(3 + 76\/(-24)). Let v = -10 + z. Calculate the highest common factor of v and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 + 1. Let j = 0.2 - g. Let o = 1020 - 1024. Which is the closest to 1? (a) -0.5 (b) o (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74 + 75. Which is the fourth smallest value? (a) 4 (b) -49 (c) 0.3 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -0*y - 296. Put 4, y, -4 in decreasing order.\nAnswer: y, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00033448 rounded to five dps?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/856269?\nAnswer: 1\/856269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 822602012 to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 279 and 2883?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, p: 2, w: 3}. What is prob of sequence wtp?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(-1*sqrt(245)) + 1*sqrt(300)*5 + 3 + -1 + 3 + -1 + sqrt(12))**2.\nAnswer: 2904*sqrt(3)\/7 + 396091\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 658224197?\nAnswer: 658224197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 12884*v + 1957. Is n(14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(35)\/sqrt(5))**2 - sqrt(7) - (5 + sqrt(175)).\nAnswer: -40 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0 (c) 2\/9 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18160 - 12740. What are the prime factors of r?\nAnswer: 2, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 232 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(2) + sqrt(98)*-2)**2 - (0 + sqrt(50) + sqrt(50) + sqrt(2))) + -1 + -1*sqrt(98) + 3 + 2.\nAnswer: -18*sqrt(2) + 346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**5\/60 - 17*m**4\/24 + 55*m**3\/3 - 77*m**2. Let v be k(-22). What is the nearest to v in 1, 2, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 0. Let n be 3*(-6)\/45 + (-12)\/(-5). Suppose 0 = n*w - 4*m - 114, 0 = -5*w - k*m + 2*m + 230. What is the remainder when 187 is divided by w?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -620, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(68) - sqrt(68)*1)*2 + -2 + (2 + sqrt(68) + sqrt(68) + -1)**2.\nAnswer: 8*sqrt(17) + 271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 9:20 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4743*u + 50. Let m(r) = -7114*r - 80. Calculate -8*b(y) - 5*m(y).\nAnswer: -2374*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1824*r - 2573*r + 7023*r - 2620*r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 5:05 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 530 + -68. Let j = c + -442. What is the greatest common divisor of 20 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -74*f + 46. Let m be o(5). Let n be (10\/6)\/((-90)\/m). Solve 40 = -n*l - 2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23 + -130?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 3\/7, -6.2, -15833, -1\/4 in increasing order.\nAnswer: -15833, -6.2, -1\/4, 3\/7, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4*j = 2*t + 42, -2*t - j = 42. Let l be ((-30)\/(-35))\/((-6)\/t). Solve -5*v + l*b = 34 - 13, -v - 5*b = -7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j**2 - 19*j + 11. Let p(x) = x**2 - 5*x + 7. Let q(f) = -1. Let m(y) = -p(y) - 4*q(y). Let u(n) = -9*m(n) - 2*w(n). Give u(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-5*(-2)\/5)\/(2\/(-8)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/4)\/((-3)\/((-24)\/(-14))). Which is the fourth biggest value? (a) 4\/7 (b) 2\/9 (c) n (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(-1\/2)*n*n)\/n)\/n)**(-45))**(-40) assuming n is positive.\nAnswer: n**(-900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 4, -5\/2, -2\/9 in decreasing order.\nAnswer: 4, -2\/9, -4\/3, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 219 - 197 - 203 + 609.\nAnswer: -u - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3189 is divided by 162.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from ycnaayvycyavama.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 30 = 5*s + 4*v, 5*v = 25. Suppose -9*q - s = -31. What is the derivative of 13 + 4*t**4 + 119*t + 7 + q - 112*t wrt t?\nAnswer: 16*t**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4 = s. Let a = -424 - -437. Suppose a*l = 9*l - 36. What is the biggest value in s, -4, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**4 - 3*c**2 - 2*c**2 + 4*c**2 - c**4 + 2*c**4 - 3*c**4 + (3*c + 5*c - 5*c)*(2*c**3 - c + c) - c**4 - 3*c**4 + 8*c**4.\nAnswer: 9*c**4 - c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-30))\/((-6)\/(-48)*-2)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 1, -2\/3.\nAnswer: -5, -3, -2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2695)*-2)\/(sqrt(20)\/sqrt(4)*6))**2.\nAnswer: 539\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 minus 0.008?\nAnswer: -40.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -160 - -1412?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30869200 and 4?\nAnswer: 123476800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -50? (a) -47 (b) -2\/11 (c) 5 (d) 181\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 7:44 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**5\/7 + 45*q**4\/7 - 75*q**3\/7 - 45*q**2\/7 + 78*q\/7 = 0 for q.\nAnswer: -1, 0, 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1168430589 to the nearest integer?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 8*w + 8. Suppose -3*a = 5*h + 26, 5*a + 38 = -0*h - 3*h. Let f be s(a). Differentiate f - 4 + 2 + b**3 wrt b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47514 + 11*k**2 - 53*k**2 + 24*k**2.\nAnswer: -18*k**2 - 47514","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-8)*74)\/((-105)\/(31080\/(-74))).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -287, -301, -315, -329, -343, -357?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43652981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15867)\/602*133\/(-342).\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1384906960?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 5) in base 2?\nAnswer: 11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -43*h + 2551. Does 5 divide p(-75)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.7 - 19. Which is the second biggest value? (a) t (b) 2\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.2 (b) 1 (c) 30 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 96.96794l?\nAnswer: 96967.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66 - 61. What is the nearest to 0.1 in c, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-244)\/(-16) - 27\/(-36). What is the greatest common factor of 176 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-2)\/(-10) - (-96)\/(-30)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*m + 5*m**2 + 10*m**3 - 4*m**2 - 13 - 60*m + 12 - 12*m**3 in the form g*m + b*m**3 + s + j*m**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -10 - 20. Suppose -v = -f*v + 4*t + 54, t + 11 = v. Solve y + v = 5*m, -2*y - 8 = 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -434.4 - -196.4. Does 0.3 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 4*m + 94 = 104, 5*g = -2*m - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -804*j - 8883. Calculate h(-11).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51974, 207818, 467556, 831188, 1298714?\nAnswer: 1870134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-23604)\/1350 + -1*1. Let t = z - -276\/25. What is the common denominator of t and 71\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 - 46. Suppose -95 = f*z - 103. Let o = -1.2 - -0.2. Which is the third biggest value? (a) 0.5 (b) o (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, u: 12}. Give prob of sequence guuu.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 2, u: 1, i: 2, r: 7}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1072?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + (32 - 43) - 61.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m + 23*m - 5*a - 35 = 0, -4*m = a - 147. Solve 6*y = 17 - m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4\/3 - 76*i**3\/3 - 512*i**2\/3 - 704*i\/3.\nAnswer: 2*i*(i - 44)*(i + 2)*(i + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p - 1 + 2 - 2*p. Give o(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 5:11 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-5))\/(12\/(-60)). Let s(f) = -7*f**3 + f**2 - 11*f. Let c(p) = p**3 - p**2 + p - 1. Let w(i) = -6*c(i) - s(i). What is the units digit of w(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 85*k = 84*k + 9, 0 = 8*a - 4*k + 28 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 33*z**2\/2 - 21*z + 1. Let d(a) = 8*a - 5. Let r(m) = m**3 + m**2 + 3*m + 21. Let s be r(0). Calculate s*d(h) - 5*y(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 68*l + 307. Let h be r(-72). Solve 3*n = 9, 4*n - 2 = -3*k + h for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 540*c - 469*c - 805*c.\nAnswer: -1814*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2026752 and 4459?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*y + 16. Suppose -5*s + 272 = h, -s + 50 = -y*h + h. Let n = 82 - s. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*v - 5555 - 1573. Suppose -4*r - 1408 = -3*l, 2*l - 544 = 3*r + v. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y + 10*y - y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11320 - -1231001122?\nAnswer: 1230323202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2849731725?\nAnswer: 3, 5, 37996423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -40 - 2*t + 40. Let p(v) = -2*v. Calculate s(p(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -9 - 9*f + 7 + 9*f - f**2. Let t(v) = v**2 + 2. What is -2*r(u) - 3*t(u)?\nAnswer: -u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -56 - (93 - 138)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 18\/(-12))\/(7\/14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of i**3 - 7*i**2\/2 + 101. Let j(l) = -l + 2. Let d be j(0). Let z(g) = -4*g**d - 3*g + 5*g**2 + g. Determine -2*n(x) + 7*z(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 11*s**2 - 59*s - 19. Determine y(-15).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574958337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -186*y + 212. Let i(h) = 2*h - 8. Let b(v) = v - 3. Let f(k) = -5*b(k) + 2*i(k). Let p(z) = -d(z) + f(z). Find the first derivative of p(n) wrt n.\nAnswer: 185","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -t**3\/3 + 16*t + 1. Suppose 0 = -2*n - 0*n. Is 8 a factor of m(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.48666 plus 1?\nAnswer: 1.48666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**11*q\/q**(-14\/3)*(q**(3\/10))**(17\/3) assuming q is positive.\nAnswer: q**(551\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1571 or -117?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 2*d**5 + 2*d**2)*(-3 - 2 + 7) + (-2*d**3 + d**4 + 2*d**3)*(d + 0*d + 0*d).\nAnswer: 5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -520*d**2*p**2 + 3*d**2 - d*p**2 - 23*d*p + 2*d + 2531*p**2 + p - 28 wrt p.\nAnswer: -1040*d**2 - 2*d + 5062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n + 15 = 17*n. Let u(g) be the third derivative of 1\/72*g**4 + 0*g**3 + 0 + 1\/360*g**6 - 2*g**2 + 0*g - 1\/90*g**n. Factor u(p).\nAnswer: p*(p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3353 divide 277279688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 684.3634 years?\nAnswer: 6.843634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q = 19*q - 3990. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 0 - (-52 - -52) - (17 + -3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -25, -56, -121, -232, -401?\nAnswer: -640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 7*u**2 + 9*u - 18. Let v be x(-12). Calculate the greatest common divisor of 18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 2*d - 3*l + 99, -149 = 3*d - 4*l. Let a = d - -73. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 4*s - 5. Let d be (s + 52)*((-5)\/(-2) - 2). Are d and 31 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 3*a + m - 2771, 5*a - 4637 = 3*m. Let i be ((-16)\/6)\/((-36)\/5751). Let u = a - i. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o - 5*o + 5*o. Let r(w) = -38*w + 142 + 71 - 290 + 77. Calculate r(g(k)).\nAnswer: -152*k","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Put -177, 4.5, -8748 in ascending order.\nAnswer: -8748, -177, 4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5799936788.\nAnswer: 2, 1449984197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-3\/7))\/((i\/(i\/i**(-9)))\/i)*(i**(-2)*i)**(2\/111))**(-2\/31))**(2\/43) assuming i is positive.\nAnswer: i**(-32800\/1035741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -12939011.1.\nAnswer: -12939011.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -4, -20, -69 in increasing order.\nAnswer: -69, -20, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 5*w - 128. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, e: 4, t: 5, q: 1}. Give prob of picking 1 m and 1 q.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.8 - -13. Let t = -0.1 - x. Let v = -0.03 + -3.97. Sort t, -2, v.\nAnswer: v, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 0*h - 3 = -h, -4*j - 2*h = -10. Let o = -2 - 7. Let p(a) = -a**2 - 8*a + 9. Let c be p(o). Solve c = -q - 5 + j for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(102)*-4)\/(sqrt(6) - -5*sqrt(18)\/sqrt(3) - sqrt(6) - sqrt(24)\/sqrt(64)).\nAnswer: 48*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 310000?\nAnswer: 310002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 m when three letters picked without replacement from {w: 2, m: 3, p: 8, y: 4}.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzezezz. Give prob of picking 2 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 0 - 4*w + 1\/6*w**3 - 2*w**2. Let g be u(6). Solve 4*s + 2*y = -12, 4*s - 2*y = g*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 2*u + 9. Let o be m(5). Suppose o = 4*f - 20. Solve d = 2*j + f, -4*d + 19 = -4*j - 13 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -241101*a - 2893203. What is s(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2922 - -2922. Let t be 8\/(-10)*10\/(-18). Let a = -0.0011 - 1.9989. Put 0.3, t, a, f in decreasing order.\nAnswer: t, 0.3, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290513941.\nAnswer: 290513941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -32, -144, -330, -590, -924, -1332, -1814?\n\"Answer: -37*k**2 - k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((12\/195)\/(-1))\/((-16)\/40). Which is the second biggest value? (a) f (b) -3\/5 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 7 + 1, -2*s + 3*u = 182. Let n = -42 - 127. Let i = s - n. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pikp. What is prob of sequence ki?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -6*y**2 + 1 + 5 - 6. Determine i(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001804805 to 5 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**3 + 3*o**2 + 22*o - 3. Let v be -13 + -1*(-20)\/(-90) + 38\/9. Let l(p) = -7*p**3 + 7*p**2 + 45*p - 7. What is v*k(s) + 4*l(s)?\nAnswer: -s**3 + s**2 - 18*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*u - 102*u - 79*u)*(0*u**2 + 8*u**2 + 0*u**2).\nAnswer: -1192*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -84, -107, -166, -279, -464, -739, -1122?\n\"Answer: -3*a**3 - 2*a - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 72*u**3 + 4*u**2 + 7*u - 6. Let t be f(4). Let a be t\/(-10) + (-4)\/(-10). Calculate the common denominator of -59\/5 and a\/12*4\/(-14).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1025 in -5, 6, -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-6))\/((-3)\/12). Suppose -4*k = -3*u - 28 + 3, 3*k = v*u + 19. Suppose 0 = 4*w + 3*y - k, w - 9 + 2 = y. Sort w, 5, 1 in increasing order.\nAnswer: 1, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100)\/(-6)*(-10)\/(-30)*((5 - -14) + -28)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*f + 3 = -0*f, 0 = 5*w + 4*f - 15. Calculate the least common multiple of ((-180)\/27)\/((-1)\/w) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/1 - 1)*1470\/35. Let t = r + 57. Solve 11*i = 8*i - t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = d - 48, 5*d - 4*d = p - 17. Let z(f) = f**3 - 12*f**2 - 13*f. Let q be z(p). Suppose -77 = -2*a - q*a - 3*c, 3*c = 9. Is 17 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2\/9 - 13490*h + 2307151\/9 = 0.\nAnswer: -121429, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/77 and 85\/44?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4708.7 take away -610?\nAnswer: -4098.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276 at least as big as 1014?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(64) + (sqrt(64)*1 - sqrt(64)) + sqrt(64))\/sqrt(4))\/sqrt(8))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 160\/24 + (-4)\/6. Suppose -m - m + u + w = 0, 4 = m - u. Calculate the highest common divisor of 16 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -3\/17, -0.1, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25168930 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 + 6*s - 4. Let r(a) = a**2 - 5*a + 4. Let q(v) = -3*r(v) - 2*z(v). Let h be q(1). Solve 2*f = -4*b - 0*f + 10, h = 4*b + 4*f for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 7:38 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c - 2200a?\nAnswer: -21dcc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + (sqrt(80) + 0)**2.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 480 + -270. What are the prime factors of g?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5712912 and 494.\nAnswer: 1411089264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 5*j - 10. Let n = -29 + 29. Suppose 0 = 3*h, n = f - h + 3*h + 6. Let m be o(f). What is the biggest value in -0.4, m, -1\/5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12713 is divided by 424.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65 - -102. Let h = f + -17. Suppose 0*t + 3*t = -5*u + 76, -h = -t + u. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -7*a, 21*s + 16*s = 50*s - 15*s - a - 13 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 7. Let u be z(-9). Suppose 1096*s - 1097*s - 1014 = 0. Let q be s\/(-54) + u + (-4)\/(-18). Solve -3*o - q = -2, -4*f - 13 = 5*o for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21095 is divided by 18007.\nAnswer: 3088","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**5 + i**5 + i**5 + (3*i**3 - 3*i**3 + i**5)*(1 - 2 + 2) + (5*i - 4*i**3 - 5*i)*(i**2 - i**2 - 2*i**2).\nAnswer: 13*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 11. What is the units digit of n\/(24\/(-9))*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267857617.\nAnswer: 267857617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -154324464?\nAnswer: 154324461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -1)\/(10 - 11)*-12. What is the highest common divisor of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1367570 + -4?\nAnswer: -1367574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -72, -466, -1630, -3948, -7804, -13582, -21666?\n\"Answer: -64*c**3 - c**2 + 57*c - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -37 - (-15 + -5 + 5)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29.8 + -29.5. Let j = -13 - -12.9. Let r = j + 2.1. What is the closest to r in -1, g, 2\/19?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -141749681*i**2*o**2*y**2 - 20449*o**2*y + o*y**2 - 7*o - 9*y**2 wrt i?\nAnswer: -283499362*i*o**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18673, -18664, -18653, -18640, -18625, -18608, -18589?\nAnswer: -18568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 5) + 10 + (-29 - -29) + -17.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134950.\nAnswer: 2, 5, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 0) + -2 - (253 - 236).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9879 + -7962. What is the smallest common multiple of f and 1704?\nAnswer: 15336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -129795*f**2*t + 522*f*t + 1259 wrt f.\nAnswer: -259590*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y. Let a(l) be the second derivative of -l**6\/40 + l**3\/2 - 4*l. Let z(p) be the second derivative of a(p). Give u(z(m)).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*(w\/w**(-9)*w)\/w*w)\/(w**(-9\/4)*w)*(w**0)**25 assuming w is positive.\nAnswer: w**(57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*y - 3*v - 11 = 0, -3*y - v + 15 = 0. Solve -y*o - 18 - 2 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 3 - 3*b + b**2 + 1. Give z(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 5*g + 1, -5*g + 753*w - 750*w - 19 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**7\/2520 + a**6\/360 + a**5\/40 + 19*a**4\/4 + 14*a**2 - a. Let c(y) be the second derivative of g(y). Determine c(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*k - 8*k**2 + 23*k**2 - 16*k**2 - 2 - 2*k**4 - 3*k to the form n*k**4 + c*k + x*k**2 + s + v*k**3 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, i: 5, y: 3}. What is prob of picking 1 y and 2 v?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39725 is divided by 323?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/9)*((s\/(s\/(s**(-4\/9)*s)))\/s)\/s)\/(((s\/((s\/(s\/(s\/(s*s**(2\/9))*s)))\/s))\/s)\/s*s**(-4)\/s) assuming s is positive.\nAnswer: s**(41\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*n - 26 = 0. Suppose 122 - n = 3*h. Let k = 113 - 19. Calculate the remainder when k is divided by h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41508, -41487, -41470, -41463, -41472, -41503, -41562?\nAnswer: -41655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-10) - (-18)\/10. Let t(h) = h**2 - 2*h - 2. Let c be t(i). Suppose 0 = f + 4 - 1. Put c, f, -1 in decreasing order.\nAnswer: -1, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 2, 0.03, 21992\/5 in descending order.\nAnswer: 21992\/5, 2, 0.03, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -138, -31, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1792 - 910 = 116*d - 858 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 118\/295*((-9)\/(-6) + 0). Determine i, given that -i + 3\/10 + 6\/5*i**2 + 1\/10*i**4 - j*i**3 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -7b?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4 + 2 + 169*k + 5 + 546*k + 5549*k**2 + 803*k wrt k.\nAnswer: 11098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/3 (b) 5\/7 (c) 0.2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnqnnqqnnnqnn. What is prob of picking 4 n?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -389.45 rounded to the nearest 10?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 27*t - 9. Let f be 2 - -5 - (-2)\/(-2). Suppose f*b - 10 = b. Is g(b) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 89*d**2 + 15 + 9*d - 13*d + 6*d - 15 as x*d + p*d**2 + n and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 39850 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = g - 3360. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22262 = -2*w - 4*x, 0*w - w + 2*x = -11127. Suppose 12*n - 414 = -390. Suppose -2*m + n*b - 2057 = -w, 0 = -m + 3*b + 4538. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/7 - (-4)\/(-112). Let d be (-1)\/3 - (112\/(-15) + 7). What is the nearest to -1\/5 in d, -0.2, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-9)\/162*3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30053*b**2 + 11542*b wrt b.\nAnswer: -60106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 12*a**2 - 7*a - 7. Let i = 7 - 13. Is l(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (10 + (0 - -3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11742, 21427, 31114, 40803, 50494?\n\"Answer: q**2 + 9682*q + 2059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*a = 80654 - 23306, r - 19115 = -2*a. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12*((-20)\/8)\/(-5). Suppose -c - b*c = 0. Let m be ((-6)\/(-8))\/(2\/8) + -1. Solve c = -2*h - 0*i - m*i, 0 = 3*i for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3586, -27515, -92470, -218965, -427514?\nAnswer: -738631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + g + 3*g = -28, -5*i + 4*g = -172. Let q = i + -31. Solve 2*s + 0 + 4 = 3*z, -q*s = 2*z - 9 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -0.38 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1270 - 4100. What is n rounded to the nearest one hundred?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313844321199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-75)\/10*(-179)\/895)\/(57*2)?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2. Let g(u) = u**3 + 4*u**2 + 3*u + 2. Let d(t) = -g(t) - 4*w(t). Let q(i) = i**3 + 7*i**2 - i - 15. Let k be q(-7). Determine d(k).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 10 + v - 3*v - 11*v - 4 to the form g*v + u and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**3 - 530*q**2 + 3601*q + 1785. Calculate j(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 644 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 23114?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 410*v - 214*v + 814*v - 22*v + 490*v.\nAnswer: 1478*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/18*95\/114*(-7)\/14?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 5*j**4\/3 + 2980*j**3\/3 + 423850*j**2\/3 - 1806820*j\/3 - 3051685 = 0.\nAnswer: -353, -247, -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(-4 + 5 - 2)*(-2 + 2 - 14*c).\nAnswer: 28*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 77213997749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -72144, -65929, -59714?\n\"Answer: 6215*z - 78359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -379465.2 - -379464.93000035. Let r = k - -0.27. What is r rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 851, 1780, 2667, 3500, 4267, 4956?\n\"Answer: -2*j**3 - 9*j**2 + 970*j - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 6 - 42 = 0. What is the common denominator of (v\/(-4) + (-197)\/(-18))\/(-1) and (-2)\/(-5)*(-134)\/16?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - y - 4, -5*w - 5*y = 62 - 42 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-852)\/1278)\/((-1)\/(6*-1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r - 2. Let k be f(-4). Suppose 0 = -3*d - 2*v + 22, 2*d + k*v = 13 + 1. Suppose 4*i - 4 = 4*z, 3*i - d - 1 = 0. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6886 + 10350. Is z a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 9 = -3*f + 2*l, 0 = 4*f - 3*l - 19. Let c = f + -12. Sort -3, c, 5 in ascending order.\nAnswer: c, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4 - 76\/(-8). Solve 0 = y - 4*y + p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-8)*(-20)\/50*-1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 915\/179 at least as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 43046 (base 10) in base 11?\nAnswer: 2a383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6673767?\nAnswer: 3, 1069, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**2 + 8*x**2 + 4*x**2 + 12*x**2.\nAnswer: 17*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - u = -36, -i + 4 = u - 0. Solve q = 3*q + i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x**2 + 453*x - 93. Calculate the remainder when 476 is divided by f(113).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5, 38, 95, 176?\n\"Answer: 12*l**2 - 3*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*g - 26 + 23*g - 4*g to r + d*g and give r.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/17 (b) -1 (c) 17.817\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 241019 and -540.\nAnswer: 240479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -103570 - -14914159\/144. Calculate the common denominator of n and 43\/132.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k**3 - 2*k**2 + 2*k**2)*(5 + 2 - 6) - 19*k**3 + 3*k - 2 + 18*k**3 + 1 to the form r*k**3 + f + m*k**2 + j*k and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 57210?\nAnswer: 228840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide (105\/9)\/(7\/147)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*u - u - 10, -4*j + 3*u = -20. Find the common denominator of 4 + 35\/6 - j and 73\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21701 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(464\/234 - 2). Let d = -10211 + 10213. Suppose -d*b = -m + 79. Are 19 and b equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 80, 640, 2160, 5120, 10000, 17280?\n\"Answer: 80*w**3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 1:53 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 0)*(-2 - 2 + 3)*(f**4 + f**4 + 0*f**4) + (1 - 5 + 3)*(-3*f**4 - 6*f**4 - f**4) in the form y*f**3 + c*f**2 + g*f + n + s*f**4 and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5584 = -34*b - 153*b - 162*b for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 7:57 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -916 = a + 2*u - 982, u - 33 = -2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -2) + -10 - (3026 + -2992).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -23\/11, -4587, -3 in descending order.\nAnswer: 2, -23\/11, -3, -4, -4587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11489 - 3*s**3 + 2*s - 357*s**2 + 5746 + 5743 to r*s + n*s**3 + i*s**2 + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9 - 2)\/(-1) + (-1815)\/(-121). Solve 4*k + z = 0, r + 6*k + 12 = 2*k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 1. Let r be c(-1). Let k be 3\/r*14\/3. Let l = -5 + k. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.6 + 0.4. Let v = 4.9 - m. Put 2\/19, v, 0.3 in increasing order.\nAnswer: v, 2\/19, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 1081*n**2 + 3242*n + 12. What is i(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -2. Let o(f) = 2*f + 4. Let h be o(-7). Let b be a + 2 - h\/50. Which is greater: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2275861850 to the power of 1\/3, to the nearest integer?\nAnswer: 1315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12330, -24584, -36796, -48948, -61022, -73000, -84864?\nAnswer: -96596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15269 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*w + 2*x, 0 = -5*w + 2*x + 15 - 37. Let k = 2.7 + -35.7. Let n = k - -31. Which is the closest to -0.1? (a) n (b) -2\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 118?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-20))\/((-4)\/60). Suppose 5*j - i*s + 2*s - 2 = 0, 5*j = -5*s + 20. Let n(h) = -5*h**3 - 4*h. Let w(v) = -v. Determine j*n(k) - 6*w(k).\nAnswer: -5*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -10*((-2)\/30)\/((-21)\/(-189)) and 140\/18 + (-4)\/(-18)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 1924304.\nAnswer: 1\/481076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11547122?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20846 - -20853. Let i be (2\/(-6))\/((-13)\/6). What is the nearest to 0 in 0, d, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 9:13 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 300, 524, 746, 966, 1184?\n\"Answer: -j**2 + 227*j + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 122, -837, -3416, -8425, -16674, -28973, -46132, -68961?\n\"Answer: -135*w**3 - 14*w + 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 1 = 2*n, 3*t + 3*n - 22*n - 18 = 10*n + 90 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*r - 8 = 0, -3*r - 2*r - 36 = -4*g. Let h = 0.04 + -0.44. Let l = 0.1 - h. What is the closest to -0.2 in -0.5, g, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93073284 by -1501182.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30306 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 79*w**3 + 4*w - 58. Let d(y) = -789*y**3 - 42*y + 579. Let i(l) = 2*d(l) + 21*s(l). What is the first derivative of i(o) wrt o?\nAnswer: 243*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4363*a - 247065 + 247065)*(-1 + 1 - 2) to v*a + r and give v.\nAnswer: 8726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 548568 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10089 - 8944. Is k a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28*t**3 + 34*t**3 - 98 - 54*t**3 + 25 wrt t.\nAnswer: -144*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1, -11, -27, -49, -77, -111, -151?\n\"Answer: -3*g**2 - g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 + 69*b + 427. Calculate w(-26).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1885 (base 11) to base 7\nAnswer: 6655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11 - -4)\/(-1 + 2). Let q = l - -50. Let r = 45 - q. Calculate the smallest common multiple of 8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36566 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**4\/5 + 9026*n**3 + 67905600*n**2 + 170442905600*n + 850518016000 = 0.\nAnswer: -7520, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g**4\/5 + 40274*g**3\/5 - 253904*g**2\/5 - 576536*g\/5 + 184512\/5 = 0. Calculate g.\nAnswer: -2883, -2, 2\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -162*h**3\/7 + 14508*h**2\/7 - 309824*h\/7 - 678976\/7.\nAnswer: -2*(h + 2)*(9*h - 412)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 741, 3485, 6231, 8979?\n\"Answer: y**2 + 2741*y - 2001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**3\/6 + 11*n**2\/6 - 28*n\/3 + 10 = 0.\nAnswer: -15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -66820*d + 33418*d + 33408*d. Let w(p) = -p**3 - 6*p**2 - 4*p + 3. Let h be w(-5). Let m = h + -1. Give f(m).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 - 2 - 2 + 5 - 7*k**3 - 2*k to the form d*k**2 + q*k + n + p*k**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b - 43. Let i be a(0). Let t = i - -35. Put 3, 4, t in ascending order.\nAnswer: t, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 3*y**5\/100 - 27*y**4\/4 - 137*y**3\/5 + 12095*y. Factor k(g).\nAnswer: 3*g*(g - 137)*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*m = -10, 4*m + 6 = -4*s + 26. Let o(y) = 3*y**2 - 10*y + 5. Calculate the least common multiple of s and o(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = n + 12, 26*n + 2*c = 29*n - 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -8244*b - 2751. What is the units digit of l(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -502 - -688. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24907 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 3*u - u**2)*(8 + 2*u - 2*u**2 - 3 - 3).\nAnswer: 2*u**4 - 2*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2325278 by -94.\nAnswer: -24737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -4939.6.\nAnswer: -4939.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 4*m - b + 45, -3*m - b = -65. Let f = 6 + m. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-3990)*(-84)\/(-8)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 35*y**3 - 3*y**2 + 2*y. Let p(u) = -35*u**3 + 2*u**2 - u. Give 2*d(l) + 3*p(l).\nAnswer: -35*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + p = -0*p - 1428, -q + p = -360. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 369*l**3 + 4*l + 1333101*l**2 - 1333101*l**2.\nAnswer: 369*l**3 + 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 - -355909?\nAnswer: 355761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210112 (base 4) to base 9.\nAnswer: -3164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 899.\nAnswer: 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 104*l - 5*l**2 + 5*l**2 - 106*l - 2*l**2. Calculate w(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 476086783 to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-208)\/84)\/((-19)\/6). Let y = -8403\/1330 - j. Find the common denominator of 41\/(-8)*2\/(-3) and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.208*-3.\nAnswer: 0.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -86*s**3 + 3*s - 204*s**3 + 12*s**2 + 17*s**2 - 26*s**2 in the form v*s**3 + a*s + n + x*s**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3363580590 to the nearest integer?\nAnswer: 57996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 966, 2093, 3220, 4347, 5474, 6601?\n\"Answer: 1127*d - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 680271?\nAnswer: 3, 23, 9859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -19. Which is the second smallest value? (a) -1\/5 (b) -1\/4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1247 - -7379\/6. Find the common denominator of v and 61\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217.451232 rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.08585, -3\/7 in decreasing order.\nAnswer: 2, -0.08585, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -d - 3*h, -9*d + 5*d = -5*h + 21 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -5. Let k(n) = 3*n**5 - 5*n**3 + 9*n - 5. Let b(s) = s**5 - 3*s**3 + 5*s - 3. Let w(g) = h*k(g) + 5*b(g). Find the second derivative of w(q) wrt q.\nAnswer: -80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, 123, 122, 121, 120, 119?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 608 a factor of 5399648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7*-9*(-6)\/18. Let l be 8\/15*y\/28. Which is the nearest to l? (a) 1 (b) 4 (c) -1\/5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 10*i**2 + 1\/3*i**3 - 10*i + 0. Does 20 divide r(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**3 + 130*n**2 + 41*n - 120. Let u be l(-43). Is u >= -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l - 10. Suppose 0 = -10*b + 5*b - 20. Let x be b\/14 + (-195)\/(-21). What is the smallest common multiple of i(x) and 20?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 2*x + 16 = 0, -4*x - 11 = 16*i - 15*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z. Let l(m) = -268*m - 226*m - 1 + 67*m. Calculate l(w(h)).\nAnswer: 427*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 17 = 5. Put 4, 0, m in ascending order.\nAnswer: m, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0583 to 3 decimal places.\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17, 44, 95, 176, 293, 452, 659, 920?\n\"Answer: c**3 + 6*c**2 + 2*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 11:03 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*r - 1. Let m(i) = i**2 - 2*i - 1. Let u be m(r). Suppose -3*o - 13 = b, -4*o = u*b + 12 + 4. Solve -x + b = 2*c, -2*x = -6*x - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 219 - 213. What is the units digit of 0 + i\/(-6)*-922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o**2 - 19*o + 6. Let z be p(-5). Let f be z\/(42\/12) - (-108)\/14. What is the highest common factor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2786111670, 2786111669, 2786111668, 2786111667?\nAnswer: 2786111666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.4 + -0.4. Let v = -480 - -477. What is the nearest to -0.2 in s, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5689733 is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12970)\/(-72632)*(-1)\/4*-14?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v, g = -2*g + 5*v + 27. Find the common denominator of 75\/2 and 1\/g + (-130)\/(-936).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 634 divide 83078092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2687 times -0.3?\nAnswer: -806.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*g - 188, 0 = 2*g - 7*g + 2*v + 235. Let w be g\/(-2) - (-27)\/(-18). Let i = w + 38. Calculate the greatest common divisor of i and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 113 in -0.04, 5, -1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 3*m - 4 = 0, -7106*m + 7102*m - 2 = 2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -5, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 i when four letters picked without replacement from {i: 4, s: 9, r: 6}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 8901329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003555 rounded to seven decimal places?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y*y**16)*y)\/y**(-15) assuming y is positive.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*b**2*r**3 + 17*b**2*r**2 - 49*b**2 + 3*b*r**2 - 2*b*r - 3315*r**5 wrt r.\nAnswer: -36*b**2 - 198900*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2\/d*d**(-5\/7))\/(d**14*d*d**2) assuming d is positive.\nAnswer: d**(-117\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -12 - 3 - (10 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*j - 4 = -6, -k + 1 = j. Let h be (k*-1)\/((-17)\/510). Suppose i - 48 = -3*i. Calculate the highest common factor of i and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -144\/11 in 2\/5, 4, -12, 534, 4\/7?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 8*z**2 - z + 11. Let n be b(8). Suppose -n*r + 34*r = -31. Sort r, -0.2, 0, 0.2.\nAnswer: r, -0.2, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2\/6 - 37396*q + 224375\/6 = 0 for q.\nAnswer: 1, 224375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-12)\/(-8) - 2 - (-1173)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1916427.\nAnswer: 3, 17, 53, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (1 - 570\/4)\/(8\/(-16))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2580)\/8514)\/((-9)\/(-66))?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*v = 238, 3*m = -v + 3*v + 373. Suppose -13*s + 10*s = -m. Let r(y) = -y**2 + 204. What is the remainder when r(0) is divided by s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 4*m + 5. Give k(-8).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zptnttppbptzpbttmpp. Give prob of sequence tn.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -59627.17 to the nearest one thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h**3 + 10*h**2 + 233*h - 157. Determine d(-7).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13*(-57)\/145483*(-28)\/(-6) and 29\/403?\nAnswer: 7657","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 divided by -17.\nAnswer: -100\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*c**2 + 0 - 1)*(-3*c + 3*c - c) + 2*c**3 + c**3 + 2*c**3 to f*c + y*c**2 + d + l*c**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-13 - -15))\/(2\/(-14))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3695948303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 11:06 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1232*a**2 - 227*a**2 + 195*a**2 as i + k*a + n*a**2 and give n.\nAnswer: 1200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 1\/4 (b) -4\/7 (c) 2 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2340, 5197, 9960, 16629, 25204, 35685, 48072?\n\"Answer: 953*v**2 - 2*v + 1389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 233282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**3 - 5*x**2 + 131*x. Let y(r) = 2*r. Calculate i(y(k)).\nAnswer: -12*k - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5 + -2*sqrt(567))**2 + -5.\nAnswer: 144*sqrt(7) + 2279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + 2*(sqrt(50) + (sqrt(4050) - sqrt(50)) + -1 + (sqrt(6050) - (sqrt(6050) - (sqrt(6050) + 2 + sqrt(6050)))**2 - sqrt(6050)))*-4.\nAnswer: 1400*sqrt(2) + 48439","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*s + 1 = 5, 0 = -5*s - 25. Suppose -7*n - 24250 = -a*n. Is ((-6)\/(-10))\/((-10)\/n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-224)\/252*6\/(-8). Determine r, given that -10\/3*r**2 - s*r**4 + 0 + 8\/3*r**3 + 4\/3*r = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/7, -3, 5, -0.5, 1, -5088?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 + 60*k - 61*k - 1.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 840355542?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 j when three letters picked without replacement from jjmjm?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 11*r**2 + r - 16. Let b be q(-12). Suppose -3*w + 5*o = b, -2*w - 2*o = 34 + 54. Let s = 85\/2 + w. Which is bigger: s or 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -10. Let v(a) = n*a**2 - 3*a**2 + a**2. Let o(g) be the third derivative of g**5\/30 - 63*g**2. Give o(v(b)).\nAnswer: 32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 286 - 284. Suppose -2*k - 4*f = -5282, -5*k + x*k + 5*f + 7868 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 4*h = 1, -73992*h + 11 = d - 73994*h for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*w**5\/2 - 26*w**4 + 105*w**3\/2 - 41*w**2 + 6*w + 4 = 0. What is w?\nAnswer: -2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 759 is divided by 65?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -h**4\/9 + 152*h**3\/27 + 82*h**2\/3 + 4620. Determine k, given that n(k) = 0.\nAnswer: -3, 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 6*k**3 - 4*k + 3. Let w be h(1). What is the second derivative of -l**w + 0*l**5 - 12*l - 30*l + 39*l**5 wrt l?\nAnswer: 760*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -57186.07 to the nearest one hundred.\nAnswer: -57200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-95)\/361)\/((-16)\/304). Suppose v*m + 5\/3*m**2 + 10\/3 = 0. What is m?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p + 31. Give k(-9).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/10 - (-72)\/(-20) - -6. Let u be 8 + (4 - 16\/r). Let h = 10 + -8. Solve -2*m = -2*o + 8, 0 = -5*o - m - h*m - u for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 193*x + 53*x - 109*x - 6 to b*x + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 55 = 50. Let f(q) = 30 - q**2 + c - 10 + 0*q**2. Let p(y) = 2*y. Give p(f(x)).\nAnswer: -2*x**2 + 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 85477*b**2*r**3 + 2*b**2*r**2 + 10041*b**2 wrt r.\nAnswer: 512862*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -613 plus -0.12?\nAnswer: -613.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w - 24. Let f be i(-13). Which is the smallest value? (a) -3\/4 (b) -0.4 (c) -0.2 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2 - 21\/(-63)*101\/(-4) and 1\/5.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nnbbn.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 141, 287, 433?\n\"Answer: 146*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 5*r**2 + 5*r - 3. Calculate j(7).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 91285657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6334979593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 812215 + -515552. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111103122 + 320?\nAnswer: -111102202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3. Let r(b) = 50*b**3 - 1. What is -3*h(f) - r(f)?\nAnswer: -47*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x - 3*x + 6*x)*(x - 4*x + x) + (-4*x + 4*x + 3*x)*(6*x - 2*x - 2*x).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 + (18 + -25 - -36).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + (sqrt(1573) - (sqrt(1573) + 4)) + sqrt(1573))**2*-1.\nAnswer: -88*sqrt(13) + 6296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39475 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + i**2 + 4*i + 4. Let z be y(-4). Let m = 58 + z. Is 37 - 5 - (-1)\/m*-2 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 7*a**2 - 11*a + 6. Let m(o) = -112*o - 328. Let q be m(-3). Determine f(q).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 10288494.\nAnswer: 51442470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1116975412?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 5) to base 11.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 1. Suppose 2 = -3*w - 1. Let m be w\/(0 + (-2)\/(-10)). What is the smallest common multiple of h(m) and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98982 and 36855.\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4303 at least as big as -1295337\/301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -z + 4. Suppose 7 - z = m. Suppose -m*s - 1676 = -6*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4899)\/2343 - -1*2.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**2 - 6*g**2 + 2*g - 2*g**2 + 0*g**2 in the form s + i*g**2 + x*g and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 - 2312300499246?\nAnswer: -2312300499196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -668d?\nAnswer: 6691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*t + 59*t - b + 9, 2*b - 60 = -5*t. Suppose -4*s + 225 = -51. Calculate the remainder when s is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -3*l - h - 6*h, -6*h + 8*h = 9*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) 7 (c) 1.2 (d) -45 (e) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(19) - 3*sqrt(19)) - sqrt(19)) + (3*sqrt(2736))**2 + (-4*1*sqrt(931))**2 + (3*(sqrt(931) - (-1 + sqrt(931))))**2.\nAnswer: 11*sqrt(19) + 39529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*z, -2*z - 3*c = 2*z - 15. Calculate the remainder when 21 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -12*x - 1. Let b(q) = 2*q + 3*q - 3*q - q. Let l(w) = -5*b(w) - d(w). Let i be (-19 - -22)*(-1)\/(-3) - 0. Calculate l(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 15. Which is the smallest value? (a) 0.3 (b) -4\/3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 minus 22840?\nAnswer: -22839.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7243169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1 - 61\/60)*-298 and (-1541)\/126 + 3 - 24\/(-12)*4.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g*u**4 + 22*g*u**3 + g + 415*u**4 + 8422*u**2 wrt u.\nAnswer: -72*g*u + 132*g + 9960*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -582585 (base 12) to base 7.\nAnswer: -15010253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -300 - -327. Suppose -3*h + 15 = -i, -3*h + n = -i - 4*i. Put h, -4, 10 in increasing order.\nAnswer: -4, h, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.05993 and 0.02370005555.\nAnswer: -0.03622994445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.08 - 2.92. Let z = -3647 - -3646.94. Which is the third biggest value? (a) u (b) z (c) -1\/5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 25*v + 71 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 189 and 99.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 12529*h - 1478772. What is u(118)?\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o**4 + 0*o**4 + o**4 + (0 + 5*o + 0)*(0*o**3 - 3*o**3 + o**3))*(97 - 87 + 218)*(-2 + 4 + 0) as t*o**3 + l*o**4 + s + z*o + k*o**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 1567398520 and 107.29.\nAnswer: 1567398627.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13946, -111519, -376360, -892103, -1742382, -3010831?\nAnswer: -4781084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6360 divided by 2.\nAnswer: -3180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158633 is divided by 330?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.0249 - 0.0751. Which is smaller: 226 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 6303350 in ascending order.\nAnswer: -5, 1, 6303350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3047 = -19*w - 17853. Let i = w - -1727. List the prime factors of i.\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 8*w**3 - 2*w**2 + 1. Let c be l(-1). Let x = -834 - -834. Sort x, c, -3 in increasing order.\nAnswer: c, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4150261134?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.27633 and 18?\nAnswer: 18.27633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 260 by -789380.\nAnswer: -13\/39469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3922*d**4 + 2*d**2 - 290.\nAnswer: -94128*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.6322644 meters?\nAnswer: 0.0006322644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkue when four letters picked without replacement from {h: 5, q: 3, e: 1, u: 3, k: 1, o: 1}?\nAnswer: 3\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 378*q - 2*q**3 + 8 - 5*q**2 + q**3 - 380*q = 0. Calculate q.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99673.23ml in litres?\nAnswer: 99.67323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 3021 and 3019 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 132? (a) -3 (b) -1\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2777, -5549, -8321, -11093, -13865?\n\"Answer: -2772*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3\/4)*q)\/q)**(-23)*((q**(3\/2)*q)\/q)\/(q*q**(-3\/5)) assuming q is positive.\nAnswer: q**(367\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -438 - r**2 + 2*r**2 + r**2 - 4*r**2.\nAnswer: -2*r**2 - 438","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 129090 - 129080 = m, 5*z - 5*m = 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*a = 18, -3*r = -0*r - 3*a. Suppose 5*x - 63 = r*x. Solve 15 = -9*q - x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015418 rounded to 5 decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 8*h = -30. Does 24 divide h\/(-18) + (-145)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11020022120201 (base 3) to base 7\nAnswer: 25061053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 14) in base 13?\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*f + 52524 + 19064, f - l = 35791. List the prime factors of f.\nAnswer: 3, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(1\/3))**11\/(k**(2\/7)*k*k)**(-1\/14) assuming k is positive.\nAnswer: k**(1102\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*y**2 + 40 - 40 - y**2 - y**2 - 5*y**2 + (-3 + 2 + 2)*(17 - 17 - 2*y**2) to p*y**2 + m + z*y and give p.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1753 is divided by 1492?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of f**5\/12 + 5*f**4\/4 - 8*f**3\/3 - 2*f**2 - 9. Let l(w) = -w**2 - 7*w + 4. Let r(j) = -2*h(j) - 9*l(j). Give r(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n - 13*n - 49*n - 89*n.\nAnswer: -165*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10077794 to the nearest integer?\nAnswer: 3175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*v**3 + 5*v**3 + 10*v**2 + 5*v**3 wrt v.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 118*d**3 - 212*d**2 + 2*d + 4. Let k(t) = 117*t**3 - 211*t**2 + 3*t + 6. Let s(n) = 2*k(n) - 3*v(n). What is the third derivative of s(r) wrt r?\nAnswer: -720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s - 11. Let z be w(8). Suppose 2*r - 3*r = -d + 4, -z*d + 4*r = -18. Suppose 2*h - d*p = 156, -4*h - 86 = -5*h + 3*p. List the prime factors of h.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 8*o**2 - 6*o + 11. Let g = -87 + 91. Let n be h(g). Suppose -3*f + 3*x + 80 = -7, 0 = 5*f + x - n. Calculate the lowest common multiple of f and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4816, 3, -2106, 5 in ascending order.\nAnswer: -2106, 1, 3, 5, 4816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -72, 1, 8?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00379104 to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7a + -309529?\nAnswer: -3095a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 5*c + 18720010, -20*d - 37440010 = -22*d + 5*c. Round d to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/((-117)\/(-27)) - (-37040)\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**5 - 4*c**4 - 16*c**3 + 16*c**2 + 16*c.\nAnswer: c*(c - 2)**2*(c + 2)*(3*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12636 and 31500.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (b + 1 - 1)*((3*b - 3*b + 8*b)*(-4 + 4 - 2) + 5 - 5 + 4*b) as c*b + i + q*b**2 and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w - 9*w - 4*w)*(w**2 - 2*w**2 + 3 - 1) as m*w + k*w**2 + p + l*w**3 and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9799, 19598, 29397?\nAnswer: 39196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -57086 divided by 18?\nAnswer: -28543\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**3*l**(-2\/17)*(l*l\/(l*(l\/((l\/(l**(4\/3)\/l)*l)\/l)*l*l)\/l))\/l*l assuming l is positive.\nAnswer: l**(130\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2211, -2256, -2301, -2346, -2391, -2436?\n\"Answer: -45*m - 2166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (59 - 2)\/3 + -3 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.5271 rounded to the nearest integer?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1203 + -1192. Let n = 0.213 + 1.787. Sort 2.2, n, q in decreasing order.\nAnswer: q, 2.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -42, 0.5, -0.6, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 0*l - 4*l = 0. Factor 0*c + 2\/5*c**5 - 4\/5*c**4 + 2\/5*c**3 + l*c**2 + 0.\nAnswer: 2*c**3*(c - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1700\/(-950))\/(3\/57).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 1335 + -1312. Calculate the remainder when p is divided by (-3)\/6 - (-46)\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + p - 1. Let a(w) = w**2 - w + 6. Let l(z) = -a(z) - 2*c(z). Let i be 2*5*2\/5. What is l(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5c (base 16) to base 11\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*d. Suppose -3*f + f + 62 = d. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 291699.6 centuries to years.\nAnswer: 29169960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -10 + 3 + (-132 - -74 - -27)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.89545 millennia to years.\nAnswer: 77895.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - 0.2. Let u = -2.9 + -19.1. Let g = u + 20. Which is the second smallest value? (a) 0.1 (b) v (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76 and 210311?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 616039901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26) + (sqrt(104)*-1)\/sqrt(4))\/(4*sqrt(2)*2))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t - 11. Let f be o(16). Let d = f - -74. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*b + 6. Let g = b - 11. Let l(s) = -s**3 - 2*s**2 + 7*s. Calculate the remainder when l(g) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -200572 or -200570?\nAnswer: -200570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 19 - a + 14*a**2 as n*a + d*a**2 + m and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 divided by -85514?\nAnswer: 27\/85514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) -6 (c) -1.85 (d) -0.23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 420034 to the nearest integer?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4396397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*t**2 - 8*t + 15\/2.\nAnswer: (t - 15)*(t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-32)\/(-52)*(32 - 6). Let d(z) = z + 1. Let r be d(4). Put 4, p, r in decreasing order.\nAnswer: p, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 (base 9) in base 8?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1772)\/(-8) + (-3)\/(-2). Let q(f) = -8*f**2 - 29*f + 18. Let r be q(-6). Let z = r + k. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**5 - 3*y + 3*y + (-1 + 1 - 2*y)*(0*y**4 + 2*y**4 - y**4) + (20 - y - 20)*(-3*y**4 + y**4 + 0*y**4) + (-2*y + 6*y - 3*y)*(y**4 - y**4 - y**4).\nAnswer: -2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, a: 3, w: 5}. Give prob of picking 2 a and 1 w.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(2\/4))\/(11\/(-649)). Let i = -114 + m. Suppose -i*w + 7*u = 2*u - 15, 9 = -3*u. Solve k = -w*k - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 411*m + 39 = 398*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 815 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jcl. What is prob of sequence ljc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7596 is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22260 in 0.28, -0.3, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*q + 16, -34 = -f + 3*q + 2*q. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*l + 9485 = -58*l + 288*l for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence orr when three letters picked without replacement from {x: 9, y: 3, r: 2, o: 5}?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 445 and 42987?\nAnswer: 214935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 347789 and 403?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 at most as big as 760?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-120)\/224 + (-6)\/(-21). What is the nearest to -1 in z, 20, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 373787\/100002 - -5\/16667. Find the common denominator of r and -69\/35.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, w: 3}. What is prob of sequence www?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 13, 675 in descending order.\nAnswer: 675, 13, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 37950 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162, -160, -158, -156?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 10 = -0*r. Suppose 4*x + 2 = n + 7, 2*n + r = -4*x. Which is the closest to x? (a) 2\/7 (b) 2 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 859.99044987 - 860.37045. Let g = -3.82 + 4.2. Let z = g + m. Round z to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1865, 3684, 5503, 7322, 9141, 10960?\n\"Answer: 1819*o + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n*x**2 - 3*n*x - 217*n - 6868*x**2 - 1704 with respect to x.\nAnswer: 2*n*x - 3*n - 13736*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80666 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.6 - 1.6. Let j = z - 15. Which is the nearest to 0.1? (a) 3 (b) -1\/8 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 11*l**2 - 23*l + 2. Let j(f) = -4*f**2 + 8*f - 1. Let z = 64 + -72. Let w(c) = z*j(c) - 3*h(c). Let r be (-5)\/(-2)*6\/5. Determine w(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/2134 and (-959)\/6*(-6 - (-43)\/7).\nAnswer: 6402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shswmsdmhmt. Give prob of picking 1 w, 1 s, and 1 t.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -14350 to the nearest one hundred.\nAnswer: -14400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**2)**35\/(y**3*y*y**(-11)) assuming y is positive.\nAnswer: y**112","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*c - 2)*(78892*c + 7*c**2 - 78892*c).\nAnswer: 14*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -o - 1 + 56, -r = 3*o - 169. Is 9 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 0.07, 1, 17, 1\/6, -3 in increasing order.\nAnswer: -3, -1\/5, 0.07, 1\/6, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 93, 308, 723, 1404?\nAnswer: 2417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1\/4)\/q)\/q)**(-6)*q\/q**(5\/6)*q**(1\/4)\/q assuming q is positive.\nAnswer: q**(83\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**4 + 210492*v**3 - 3700226529*v**2 + 280048729224*v - 806849831952 = 0?\nAnswer: 3, 73, 35044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/99*(-3)\/5*-1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5422772ml in litres?\nAnswer: 0.0005422772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - d - 2*d + 68 = 0, -3*f + d = -52. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 4, 0.39247 in decreasing order.\nAnswer: 4, 0.39247, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202 (base 3) to base 12.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 42 (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 725*m**4 + 2*m**5 - 3*m**5 - 708*m**4 + 35*m wrt m.\nAnswer: -20*m**3 + 204*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 765153 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2611 + -2612. Let d be ((-1)\/(-3))\/((-39)\/36). Which is greater: d or b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33746397779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 0*x + 5*x + 0*x - 4 + x**2. Let g be j(-6). Suppose -f + g*f - 4 = 0. Let y(a) = a**2 - 5*a - 3. Determine y(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0942444 to 3 dps.\nAnswer: -0.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**4 - 10*i**3 - 425*i**2 + 1030*i + 3600 = 0. Calculate i.\nAnswer: -9, -2, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2100 - -202010?\nAnswer: 210110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*j**2 + 2*j + 4*j**2 + 9*j**2 - 190*j**3.\nAnswer: -190*j**3 - 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 14 = -16. Let x be 84\/(-16) + l\/(-8). What is the remainder when 58\/8 - x\/(-24) is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43529 + -43482. Let s = -44 - -68. Calculate the remainder when o is divided by s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l*u*y + 129*l*y**2 + 7*u*y**2 - 2*u*y - 8*u wrt l.\nAnswer: 2*u*y + 129*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**4 + t**3 - t**2 - t. Let y(o) = 5*o**5 + 26*o**4 + 42*o**3 - 12*o**2 - 47*o - 18. Let g(h) = 2*p(h) - y(h). Let g(x) = 0. What is x?\nAnswer: -3, -2, -1, -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 6*b**2 + 5*b - 5. Let t be a(5). Let z(q) = 5. Let y(x) = x + 6. What is t*y(u) + 6*z(u)?\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49418, -49415, -49410, -49403, -49394, -49383?\nAnswer: -49370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -99742 minus -2?\nAnswer: -99740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 4, 5, -5, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005764 rounded to four dps?\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + f - 4 = -25, -3*m = 5*f - 35. Suppose 5*v = m*s + 30, -v + 3*s + 38 = 4*v. Solve o = -4*o - v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3870)\/(-516)*-20*(-6)\/144?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11958?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 80*u**2 + u + 5. Let r(v) = -4*v. Calculate q(r(t)).\nAnswer: 1280*t**2 - 4*t + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 33 = 24. Let y(x) = -x**3 + 21*x**2 - 39*x + 22. Let f be y(n). Solve 2*l + l = f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 295939*l**2. Let d(j) = -17*j - 9. Calculate d(o(k)).\nAnswer: -5030963*k**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from miimmmimii. Give prob of sequence im.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*u - 0 - 1, -4 = -o + 5*u. Let n(z) = -z**2 - 3*z - 1. Let v be n(-6). Is o*3 + v + 559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 6 = -2*v + 2, -3*h = 0. Suppose 274 = v*z - 62. Suppose -3*o - z = -7*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u + 0*u + 6*u)*(-1 + 1 + 2)*(-u + 4*u + 6*u)*(u + u - 3*u) to d + c*u**2 + h*u + o*u**3 and give o.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3843 + 2920. Which is smaller: u or 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*l + 97 with respect to l.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 478 in descending order.\nAnswer: 478, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v - 3 = -t, -22*v - 6 = -19*v - 2*t for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(117)*3 + (sqrt(117) + -2*sqrt(117))*-2)*4)\/((sqrt(441) + (sqrt(441) - 4*2*sqrt(441)) + sqrt(441))*2).\nAnswer: -16*sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 5*p**2 - p + 1. Let r(h) = 2*h + 1. Let o(c) = -n(c) - 3*r(c). Let w be 28\/(-7) + 1\/1. Let g be ((-2)\/w)\/((-3)\/27). Determine o(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 734263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1717 + (7\/1 - (3 + 1)). Round j to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15b - -5e?\nAnswer: -ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 16, -1.01, 1, 1\/4, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/49, 0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6756*v - 36 = -6744*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xyyc when four letters picked without replacement from {h: 2, x: 3, j: 2, c: 1, y: 4, m: 2}?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/2601 and -40\/867.\nAnswer: 2601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 20 = v. Let y be 1\/(0 + (-1)\/3). What is the least common multiple of 6\/(-1)*4\/y and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 109573 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (16926\/(-455))\/(2\/(-10)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30255417?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 3833*k + 118131. Calculate x(31).\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*(5*sqrt(200)*2*-5 + (-2 + sqrt(200) + 1)*3))**2.\nAnswer: -19881405 - 126900*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -361 + 361.02. Sort -5, f, -122, 0.5 in increasing order.\nAnswer: -122, -5, f, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 + 0*u**5 + u**5 + 15 + (-u**3 + 2*u**3 - 3*u**3)*(u**2 + 0*u**2 - 2*u**2).\nAnswer: 3*u**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1888595 a multiple of 516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 16892.37 to the nearest one hundred.\nAnswer: 16900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/2, -4, 12 in ascending order.\nAnswer: -4, -2, -1\/2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -406, -408, -410, -412, -414?\n\"Answer: -2*y - 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 10:57 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 12 = f - 2*f, 0 = -4*f - 5*v + 48. Let g be (-24)\/(-5) - f\/15. Suppose 0 = p + g*a + 93 - 412, -3*a = 4*p - 1315. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 484780 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1162, 1001, 732, 355, -130, -723, -1424?\nAnswer: -2233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7326*m - 230300 = 5982*m - 1793*m for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-234)\/12)\/(-13) + 1\/2. Solve -9 = m*t - 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 9*u**2 + 24*u + 41. What is the remainder when 586 is divided by y(-11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 229194*f**2*x**2 - 198*f**2 - 2*f*x**2 - 708*f*x wrt x?\nAnswer: 458388*f**2 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - m**2 - 1 + (2 + 2 - 2)*(0*m + m**2 + 0*m))*(-m + m + 9*m) to the form f*m + q + y*m**3 + n*m**2 and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 39607109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n - n + 4*n - n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241216365?\nAnswer: 3, 5, 13, 163, 7589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 31953688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1312 + 924. Sort 4, 2, d.\nAnswer: d, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - m**2 - 2*m - 9. Let f be q(3). What are the prime factors of 16*7 - (6 - f)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 2*k**2 + 3*k - 2. Let z be l(2). Suppose -5*t - 4*i = i, 24 = 4*t - 4*i. Solve d - 2*o - 2 = 0, 2 + z = t*d - 4*o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-2) - (-3 + 3). Which is bigger: -11\/4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 6, 1, -3.18, 42, -1.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5639170, -5639160, -5639150, -5639140, -5639130, -5639120?\nAnswer: -5639110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 743*o**5 + 2*o**4 + 12*o**3 + 46*o**2 + 106*o.\nAnswer: 44580*o**2 + 48*o + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -284 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/4 + 2391*s\/4 - 597.\nAnswer: -3*(s - 796)*(s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 3*d + 2. Let q be x(3). Suppose 18*u + 24 = 26*u. What is the nearest to q in -2, u, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 2*d**7\/175 + 17*d**6\/300 - 33*d**5\/50 + 22*d**4\/15 - 4*d**3\/5 + 411*d**2. Let f(v) = 0. Calculate v.\nAnswer: -6, 1\/6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -620d1e (base 16) to base 15\nAnswer: -86de76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pciicppipipccpqdq. Give prob of picking 1 c and 1 p.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -s - 1. Let a(b) = -3*b + 6*b - b - 41 - 2*b**2 + 36. Give a(x) - 4*q(x).\nAnswer: -2*x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 189547 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: Total of 93409.1 and 0.\nAnswer: 93409.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a second in milliseconds?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*i + 65*i + 2*p + 24 = -0*p, 3*i = -3*p + 9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -30 - (-27 - 8) - (0 + (3 - -4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 34 and -79884.26.\nAnswer: -79850.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7515*p**3 + 1653252*p**2 - 10560*p.\nAnswer: 3*p*(p + 220)*(2505*p - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112\/(-4)*153\/(-612).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20\/7 + -114\/35. Let j = 53 + -53.07. Let m = -1.07 - j. What is the nearest to m in 0, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*u + 1230 = -29*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + (-2)\/4)*(-144)\/6. Suppose -4*o - 72 = -d*o. What is the lowest common multiple of 2 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 11:58 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 38. Suppose -2*o + 5*g - 25 = 0, -20 = -2*o + o - 4*g. Let m be p(o). Factor -l**2 + m*l - 32*l - l**2.\nAnswer: -2*l*(l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -659*x - 13751 = 7996 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 191026513 divided by -3?\nAnswer: -191026513\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46176 and 1657344?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*j + 22 = -2*s, -s + 388*j - 383*j = -6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 498018803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 5. Let n be k(-12). Suppose i + 20 = -4*i, w + i - 911 = 0. Is (n - -19) + (w - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.21 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 28 = -2*s. Let h(b) = -10*b - 5. Let q be h(-2). Solve s*m - q = 4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135419469 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/3*(-9)\/(-2). Suppose -n*j + 13 = 1. What is the second derivative of -3*x + j*x + 5*x + 8*x**4 - 13*x**4 wrt x?\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1590*t - 1592*t - 3*x = 45, -44*x = 4*t + 584 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119\/35*((-1995)\/28)\/(-19)*12\/9?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 156\/(-442)*(-2)\/4?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -7*x - 14. Let w(g) = -g**3 - 6*g**2 + 8*g + 8. Let k be w(x). Solve 2*o = -k + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24152 + -772777\/32. What is the common denominator of 55\/28 and j?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 111888981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2410604 (base 8) to base 7\nAnswer: -5415513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/(-15)*3)\/1. Let q be (3 + -13)*-3 + (2 - o). Suppose -40 = -3*r - 3*g + 32, 2*r - q = 3*g. Which is smaller: r or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 797871868 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -16. Let q(f) = -f + 15. Calculate the least common multiple of q(11) and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*x + 12 = 0, -15 = -f + 3*x - 1. Let p(o) = o + 10. Let v be p(-7). Let k = -15 - -22. Solve -k*m + f*m = -v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -569 + 572. Solve h*n = -9 + 15 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iciififciccf.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*h + 4*n - 0, 0 = 4*h - 4*n. Suppose 196 = 2*i + 48. Find the third derivative of i*w**6 + 3*w**4 + 2*w**2 - 67*w**6 - h*w**4 wrt w.\nAnswer: 840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13888387339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - a = -348, -4*g - 166 = 4*a - 858. Solve -87 = -22*w - g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + t. Let j be ((-2)\/(-6))\/((-3)\/(-27)). Suppose -5*u + 22 = -j, 3*s - 20 = -4*u. Calculate k(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2214101 (base 5) to base 2\nAnswer: 1001011011111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/(f\/((f\/(f*f**(-1)*f))\/f*f)))\/f)*f**(1\/11)*f*f**(-3\/2)*(f**(-1\/4)\/f)\/f)\/(f\/f**1*f**(2\/5))**(-38) assuming f is positive.\nAnswer: f**(3199\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3049 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39 - -63) + -191 - (-54 + 8).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*c + 2*d - 11, 3*d - 12 = 0. Which is smaller: c or 3\/991?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - -65. Let l = -1386 - -1321. Let c = w + l. Solve 0*g = -2*f + 5*g - c, -3*f + 4*g = 18 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -2. Let n = -1 + w. Suppose 14 + 22 = n*p. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: c1d86 (base 15) to base 10\nAnswer: 613926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 22*i - 48. List the prime factors of g(12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*k - 496 = 25 + 484 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -2.604045?\nAnswer: -10.41618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42666 - -72992. What is the lowest common multiple of 4 and i?\nAnswer: 60652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.18 - -1.18. What is the second smallest value in 3, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.9 - -0.9. Let b = 162 + -807\/5. What is the closest to r in b, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 43*z + 5. Give m(-42).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2782949?\nAnswer: 13, 19, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(171) + sqrt(171) + 3 + sqrt(171).\nAnswer: 8 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tggt when four letters picked without replacement from ggtttttt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -15*x - 17. Let m(c) = 2 - 8 - 5*c + 0. Determine -6*b(z) + 17*m(z).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1, -278, -3, 2, -2\/19, -2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/15)\/((-126)\/27).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(20)\/sqrt(4) + sqrt(5))*-5.\nAnswer: -20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g**3 - 21*g**2 - 2*g - 8. Let o(t) = -2*t**3 - 10*t**2 - t - 4. Let f(v) = -3*k(v) + 5*o(v). What are the prime factors of f(13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-255)\/(-34)*(-16)\/(-60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417560?\nAnswer: 2, 5, 11, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9220639 and 2.\nAnswer: -18441278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(2*sqrt(9)) - sqrt(45)*-3 - (-5*(sqrt(5) - -4*sqrt(25)\/sqrt(5)) + -2))**2.\nAnswer: 138*sqrt(5) + 23821\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047148451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1944923275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.39769 - 2103.23231. Let b = d + 2117. Round b to 1 decimal place.\nAnswer: 9.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/2))\/(t*t\/t**(-4))*(t**(-1\/3))**(-2\/49))**18 assuming t is positive.\nAnswer: t**(-3957\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-8 + (8 - 5) - -14)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 420 and 85254820.\nAnswer: 255764460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v - 3. Let j be y(6). Suppose -4*p + 6 = 5*c - 3*c, -p - 11 = j*c. Suppose p*g - 30 = -g. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -622098 divided by -3.\nAnswer: 207366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -134*h - 4. What is the hundreds digit of m(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.37 + -1.2. Let f = -0.1726 + a. What is f rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeelmlmmeeeeleeeeee. What is prob of sequence lme?\nAnswer: 13\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -5 + 3*h**2 + 17\/3*h**4 - h + 1\/3*h**3. Find the second derivative of r(n) wrt n.\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -14*q**2 + 33*q - 31. Let i(w) = -9*w**2 + 22*w - 21. Let m(x) = 8*i(x) - 5*l(x). Let d be m(6). Let r = -8 - d. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1725290 divided by -7\nAnswer: -246470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -124 - -127. Solve d + 11 = -d + 5*z, 12 = -3*d + j*z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*u - 0. Suppose -8 = u*k - 20. Suppose 3*m + 93 + 4 = k*w, 2*w - 52 = -2*m. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1492611 is divided by 27138.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110000101111010 - -110000?\nAnswer: 100110000110101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w - 8. Let g(c) = -c**3 + 6*c**2 + 6. Let a be g(6). Let x be h(a). Let n(s) = 2*s**2 - 4 - s**3 + x + 4*s - 3. Calculate n(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 133\/320 - 1\/64. Find t such that -z*t**3 + 2\/5*t**4 - 2\/5*t**2 + 0*t + 2\/5*t**5 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23861\/4 > 5966?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4528 and 18?\nAnswer: -8.1504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -14. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2924b - -9?\nAnswer: -29242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w - 4. Let x(s) = 1. Let z(h) = -v(h) - 4*x(h). Let o(n) = 2*n - 18. Let d be o(10). What is z(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 2\/3*x - 14\/9*x**2 - 4\/9*x**3 = 0. Calculate x.\nAnswer: -3, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 83615*o**2 + 7*o + 4. Let q be f(5). Suppose -j = -b + 5479582 + q, -5*b = j + 7570020. Round j to the nearest 100000.\nAnswer: -7600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2000 times -896.4?\nAnswer: 1792800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 10 (c) -8\/11 (d) -2 (e) 4 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -1 - (-2 - -2). Suppose 2*v + h = 12, 4*v + h + 10 = 38. Let x be 4\/v + (-14)\/(-4). Solve y - q = -m + 4*m, 4*y = -x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 3) + (-36)\/4 + 1. Let d(g) = -293*g**2 + 294*g**2 + 4 + 9*g - 15. Give d(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -0.2. Let l = -16.269 - -16.229. Which is the closest to l? (a) -2\/5 (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -466753, -466752, -466751, -466750, -466749, -466748?\n\"Answer: s - 466754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 260051 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 4*v**5\/15 - 5*v**4\/24 - 183*v**2. Let t(q) = 3*q**2. Calculate t(l(p)).\nAnswer: 768*p**4 - 480*p**3 + 75*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*sqrt(405).\nAnswer: -72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s**2 - 1. Let t be g(1). Let o = 12.1 - 12. Let y = -0.1 + o. Which is the biggest value? (a) 4 (b) y (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*y**6 + 2*y**5 + 1840*y**3 - 83*y**2 + 2*y - 84?\nAnswer: 2160*y**3 + 120*y**2 + 11040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0516 and 0.9.\nAnswer: -0.04644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 7*j**3 - 2357*j**2 + 1678*j + 672 = 0.\nAnswer: -2\/7, 1, 336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/1485 and 17\/140157.\nAnswer: 7708635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 69*j**2. Let c be 5\/25*0 + 0 + 5. Suppose -c*o + 85 = 3*g, -7*g + 8*g = -5*o + 45. Calculate the remainder when y(1) is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.23 - -0.16. Let h = 0.07 + g. Which is the second smallest value? (a) -2\/17 (b) h (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28636384*l**2 - 655*l - 9677 wrt l?\nAnswer: 57272768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27980 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 324, 312, 284, 240, 180?\n\"Answer: -8*n**2 + 12*n + 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2343458 is divided by 2342975.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -29*p**2 + 692*p + 33. What is i(24)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -1213 + 1197 + 46*k - 47*k. Suppose 0 = 5*j + 17 + 23. Determine u(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1491, -3001, -4501, -5985, -7447, -8881?\nAnswer: -10281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-3)\/(76\/(-16) + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 34520568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 199.0102 and 1290510?\nAnswer: 1290310.9898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22369112 to the nearest integer?\nAnswer: 4730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4\/1771 - -9871\/1771. Let -6*a + h + 3\/7*a**2 = 0. What is a?\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -265.3 - -265. Sort -4, 4, -3, i.\nAnswer: -4, -3, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/3070040 and 1\/60.\nAnswer: 9210120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**3 - 3*h**2 - 16*h + 37. Is q(4) a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1770795925*f - 1770795928*f + 3541591858*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 283?\nAnswer: 27e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -938471425*w + 938471425*w - 2*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, t: 3, v: 4}. Give prob of picking 2 t.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of -1*(-1368)\/(-104) - -13 - 182524\/(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 17 + 5 = 3*p, -5*p = 5*z + 30. What is the closest to -1 in p, 0.1, 0.08?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 182844 + 4?\nAnswer: 182848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -3694251.540836 and -4.\nAnswer: -3694255.540836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, n: 1, m: 2, k: 4, j: 1}. What is prob of picking 2 m?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k - k + 3*k - 8*k. Let w(l) = -14*l. Give q(w(y)).\nAnswer: 28*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -273250 or -273248?\nAnswer: -273250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-8)*15\/(30\/4)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 214 + -218.04. Let g = h + -0.06. Let z = 4.2 + g. Which is the third smallest value? (a) 0.01 (b) z (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 467 (b) 1 (c) 0.8 (d) -4 (e) -224\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -r**5\/30 - r**4\/8 - r**3\/2 + 15*r**2\/2 + 3*r. Let i(k) be the first derivative of c(k). Suppose -6 = 4*g + 6. What is i(g)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37153?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 19*u + 1. Let n(s) = 56*s + 3. Let d(z) = -455*z - 21368. Let i be d(-47). Give i*y(q) - 6*n(q).\nAnswer: -13*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.37 and 2243.\nAnswer: -25502.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 96*t + 4. Let d(l) = 14*l + 1. Let i(m) = -34*d(m) + 5*n(m). Determine i(-7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -613*m + 3885. Let b be p(-84). Round b to the nearest one thousand.\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1\/4 (b) 3.4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2074447 - -87.\nAnswer: 86.7925553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - l + 3)*(-2*l**2 + 5*l**2 - l**2) - 3*l**3 - 6*l**3 + 8*l**3 + (3*l**2 - l**2 - 4*l**2)*(4*l - l - 2*l) + 0*l**3 - l**3 + 2*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**3*d\/(d\/((d\/(d**(-2)\/d))\/d)*d))\/(d*(d*d**0*d)\/d*d\/d**(-2\/3)))**(-8\/13) assuming d is positive.\nAnswer: d**(-32\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -203, -196, -185, -170, -151, -128?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) 0.09 (c) 0 (d) -5 (e) -3\/5 (f) 5 (g) -178\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 10450960351.1 and 3.\nAnswer: 10450960354.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -2. Let f = 25 - 26. Which is the biggest value? (a) f (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000000167307127 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9862*b**3*g**2 - 165*b**3 - 315*b**2*g**2*x - b*g*x + 7*g - 44 wrt g.\nAnswer: 19724*b**3 - 630*b**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10822 + 21654 - 7*w - 10832.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24150)\/(-4))\/(((-897)\/(-2300))\/13). Round y to the nearest one thousand.\nAnswer: 201000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 147 + 144. Find the second derivative of -15*q**5 + 3*q**n + 159*q + 6*q**5 - 3*q**3 + 2*q**4 wrt q.\nAnswer: -180*q**3 + 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 5*r**2 - r**2)*(-3 + 4 + 11).\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**3\/11 + 10*w**2 + 1728*w\/11 + 6840\/11 = 0.\nAnswer: -30, -19, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 8*v**2 + 9*v**3 - 8*v**3 - 6 + 0*v - v. Let i be w(-8). What is the units digit of 1 + i\/6*0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3 + 9*a**2 - a + 2*a + 1 + a**3 - 2*a**3. What are the prime factors of c(9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -33677513045.\nAnswer: -33677513045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -32?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1245, -1296, -1387, -1524, -1713, -1960, -2271, -2652?\n\"Answer: -h**3 - 14*h**2 - 2*h - 1228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j - 7. Suppose -3*z + 10 = 6*t - t, -t + z + 2 = 0. Suppose v + 2*d = 2*v - 4, t = 2*v - d. Let g be v - (-195)\/(-27) - 2\/(-9). What is h(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 15681, 4, -1 in descending order.\nAnswer: 15681, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 7.839242 grams?\nAnswer: 0.000007839242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -16. Suppose 2*d = -0*d + 3*c + 3, 4*d - 14 = -2*c. Solve n*k - 6 = -d*j + k, 20 = 3*j - 4*k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**3 - 745*a**2 - 357*a + 5579. Determine t(-372).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a kilometer in meters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1119 - -2056. Let b = -771 + y. Is b not equal to 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6 - 200.8.\nAnswer: -199.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1156, 1326, 1496, 1666, 1836, 2006?\n\"Answer: 170*y + 986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*t + 87*t - 10 = 0. Put 16, t, 5, -4 in descending order.\nAnswer: 16, 5, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/1744349 and -109\/55730.\nAnswer: 17443490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*q)*(q - q - 2*q - 2*q - 2*q + 2*q + 2 - 2 - 2*q + (0 - 3 + 4)*(4*q - 5*q + 3*q) + q + 1 - 1) - 156*q + 156*q - 29*q**2.\nAnswer: -23*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 8\/5, 0, -0.4, 180, 3, -0.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21092106 divided by -2.\nAnswer: -10546053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - g = -8. Let j(y) = y. Let i be j(2). Let p(s) = -s**2 - 8*s - 1. Let r(x) = -x - 1. Let f(d) = i*r(d) - p(d). Determine f(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + -2*sqrt(108)*5 + sqrt(108) - 1*(sqrt(108) - -1*sqrt(108))**2)*6.\nAnswer: -2592 - 288*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -7\/44, 0.4, 1\/4 in descending order.\nAnswer: 0.4, 1\/4, -7\/44, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-791)\/(-2)*2250\/(-7875).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2. Let b be (-1 - 0) + 6 + -5. Let t(f) = b*f**2 - f**2 + 2*f**2. Calculate m(t(g)).\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11914\/2895 - -22490053\/40530. Let g = -559 + x. Let r = g - 3\/10. What is the second biggest value in -0.5, r, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 1. Let d be v(13). Suppose -5*w = -f + 15 + d, 4*w + 24 = f. Solve -f = -2*z + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.11 + 3.11. Sort -13, g, 0.5 in decreasing order.\nAnswer: g, 0.5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4 + 30*v**3 + 97*v**2 + 66*v.\nAnswer: -v*(v - 33)*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/325280 and -107\/600.\nAnswer: 4879200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**5\/10 + j**4\/2 - 30*j. What is the third derivative of x(s) wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-55)\/(-110)*(-8)\/(-10). Let o = -379 - -1901\/5. Sort o, y, -2 in descending order.\nAnswer: o, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*y - 3*k, k - 16 = 3*y + 11. Let r = y + 20. Let q be 238\/5 + 4\/10. Calculate the highest common divisor of r and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.79286 and 0.2.\nAnswer: 0.758572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37949429?\nAnswer: 7, 29, 71, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 413, -0.1, 6, -0.3, 0.2, 3\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m + 5. Let d = 16 - 12. Let j(t) = 6*t - 4. Let l(q) = d*j(q) + 6*x(q). Calculate the remainder when l(-10) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aauuuuu. Give prob of picking 1 u and 2 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzg when three letters picked without replacement from {g: 3, q: 7, z: 5, k: 4}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 144461153 - -4?\nAnswer: 144461160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 2:52 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 25*m**2 + 3*m - 359. Let n(w) = 71*w**2 + 9*w - 1077. Calculate 17*h(p) - 6*n(p).\nAnswer: -p**2 - 3*p + 359","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -7*z + 41. Suppose 0 = b + 8 - z. List the prime factors of b\/10 + 321\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 25\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, w: 2, l: 1, o: 3, j: 3}. What is prob of picking 1 j and 1 v?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 + -548768?\nAnswer: -54875a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 536*t - 5980 - 29160 = -7268 for t.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172.4004 micrograms to nanograms.\nAnswer: 172400.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 958902 divided by 3\nAnswer: 319634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -173 - -175. Suppose -7*g - 4*m = -k*g - 162, g - 18 = 4*m. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -3574?\nAnswer: -3571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*8\/(-4)*((-7)\/148)\/7?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1442 = -3451*c + 3437*c. What is the remainder when c is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -10*n. Let z(l) = 125*l - 3. Calculate z(r(p)).\nAnswer: -1250*p - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 287491 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 j be 1*((-12)\/(-6))\/2*-22. Let o be (-154)\/j - 74\/10. Put 41, -4\/5, o in decreasing order.\nAnswer: 41, o, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -71 (b) 5\/2 (c) -0.4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 513 - 567 = 0. Suppose 3*f = -0*f + i. What is the greatest common factor of 48 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 75234122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u - 401 + 5791 = 0. Suppose -310*i - u = -311*i. Round i to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61902 or -61901?\nAnswer: -61902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 5*f**4\/12 - f**2\/2 + 3*f. Let p be x(1). Suppose -4*g = p*h - 156, 4*g + 2*h = -0*h + 160. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v + 1. Let o be m(-4). Let c(n) = -4*n**2 - 5*n - 6. Let h(s) = -5*s + s - 5*s - 11 - 7*s**2. Give o*c(g) + 6*h(g).\nAnswer: 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11112.2 rounded to the nearest 100?\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -12\/113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/70)\/(6\/(-155)) - 5\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -5. Let a = 7 + q. Sort a, 0, -2 in ascending order.\nAnswer: a, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a + 1118?\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.8 + 5.4.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 352728 a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(893\/188 + (-3603)\/756).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 13*o**2 - o + 3. Let y be d(-13). Suppose 4 = -2*z + y. Solve -z*n + 20 = -n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1425\/4 - 9825\/28. What is the common denominator of p and 107\/44?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 212 + -86. What is the common denominator of 8\/14 + 1547\/294 and 3 + (-581)\/z + 2\/(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 v when two letters picked without replacement from xvxrvrrrryrrvrrrvrr.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63133338?\nAnswer: 2, 3, 283, 37181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l - 45 = -14*l. Let j = l + -39. Let u be (2\/6)\/((6\/j)\/30). Solve 2*h + u = -0*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22072283855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*f**5 - 256*f**4 + 278*f**3 + 466*f**2 + 132*f = 0. Calculate f.\nAnswer: -33, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 + 270*n**2 + 4*n + 54 - 16)*(1 - 2 - 5).\nAnswer: -1620*n**2 - 24*n + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(6\/5))*r)\/r)\/r**(-11) assuming r is positive.\nAnswer: r**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**3 + 75*v**2 + 41*v - 112. Let n be r(38). Solve -3*h + 17 = n*s - 7*s, -2*s - 6 = -h for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 111, 255, 517, 933, 1539, 2371?\nAnswer: 3465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 = -41*p + 58. Solve 2 = -w, l - w = 4*w + p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18805, -150802, -509181, -1207132, -2357845, -4074510, -6470317?\nAnswer: -9658456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 e, and 1 h when four letters picked without replacement from eheuuwmw?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8\/5, -9, 0.7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 2*(-1*sqrt(405) + -2)*-5 + 2)**2 + 0)*3.\nAnswer: 14580*sqrt(5) + 123687","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (15 - (34 + -1)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2997.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 112\/(-21))*(-1449)\/(-46) - 1.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 295*n**2 - 2418*n + 34824. Calculate z(287).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -68 + 28. Calculate the least common multiple of a and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-99320)\/880)\/(-191)*(-18)\/(-195)*5.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 310*d - 308. Determine v(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -689 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 63 = -71. Let a(r) = 12 + 2*r**2 + 2*r**2 + 9*r - 3*r**2. Let o be a(-8). Put o, p, -5 in decreasing order.\nAnswer: o, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kuzuzuuvfuzdd. What is prob of sequence kzvd?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3429 a factor of 27349704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - d - 4. Let c be j(5). Let u(f) = 804*f + 1571. Let g be u(-2). Is g smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 8:39 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25 + 63?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -11. Suppose 0*l + 2*h + 34 = 4*l, l = 2*h + d. Solve 5*v - l = 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 11*j + 4. Suppose d = -d - 22. Let u be q(d). Suppose -a + u*w + 1 = -3, 5*a + 3*w = 20. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/((-2 - -1)\/(-1)))\/1. Suppose 0 = 3*w - s*w - 3*k - 648, -5*k + 1120 = 5*w. Calculate the greatest common divisor of w and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92 (base 15) to base 9\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 99, 147, 195, 243?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + -4 + 6\/2. Suppose 0 = -4*s + r*y + 28, -2*s - 2*s + 28 = -3*y. Suppose -3*u + 48 = u. Solve -u = 4*m - s*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/1035 and -39\/70.\nAnswer: 14490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7786019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 n when four letters picked without replacement from ennnennnneene.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3))**(-3\/11))**27\/((u**(-3)\/u*u)\/(u\/u**(-11)))**(-28) assuming u is positive.\nAnswer: u**(-4377\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p - 10 - 3 - 2. Suppose 11*w - 7 = 15. Let x(v) = v - 5. Let u(z) = z - 6. Let a(n) = w*x(n) - 3*u(n). Calculate -11*a(j) - 6*m(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 25 - 1. Let w be (2 - u\/4)*-2. Is -8\/7 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 3 - 5. Let v be (m - 10\/(-4))*8. Suppose -6*q + 28 = -v*q. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 0 + (-3 - 2 + 2)*(-4 + 3 + 2) + 3 - 18 - 5 + 3 + 0 - 1)*(-1 - v**3 + 1).\nAnswer: 25*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, -0.8, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/9)*v\/((v\/v**(-3))\/v*v)*v**5*v**(1\/4))\/(((v\/(v*v**0))\/v)\/v*v**(-2\/13)*(v\/(v\/v**1))**(2\/25)) assuming v is positive.\nAnswer: v**(47989\/11700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q**2. Let r(s) be the first derivative of -s**2 + 20*s - 564. Calculate v(r(w)).\nAnswer: 20*w**2 - 400*w + 2000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 + 11*r**3 + 1513880*r**4 - 1513881*r**4 + 8*r - 17 + 5*r**2 to the form w + d*r + o*r**4 + z*r**3 + y*r**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 746\/3 + (-7)\/21*2. Let f be (h + (-6)\/(-3))*(0 + 192). Round f to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h + 9*h - 52*h.\nAnswer: -37*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3466*w - 83190. Calculate q(24).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16696503?\nAnswer: 3, 479, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30353\/2 - -15173. Which is the fourth smallest value? (a) w (b) 3 (c) 0.3 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 2*m**2 - 2*m - 1. Let n be p(3). Suppose 19 = 16*v + 3. Differentiate -v + n + 1 + 2*f + 0*f with respect to f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 2*o + 12, -o - 2*o + u - 3 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -37, 0.5 in ascending order.\nAnswer: -37, 0.5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 285\/(-114) + (-2)\/4. Which is the third smallest value? (a) m (b) 11 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -53465*w - 2. Let h(m) = 4648*m. Give f(h(a)).\nAnswer: -248505320*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/((-100)\/(-20))*(-249)\/24.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1032.639933 to one dp.\nAnswer: 1032.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5409 is divided by 2221.\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 9:06 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 98226 divided by 18?\nAnswer: 5457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 + 4*x - 8)*(3 - x - 3).\nAnswer: -4*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (19 - (6 + 2)) + (-9 - 2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 825.866cm in micrometers?\nAnswer: 8258660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -6*d - 35. Let l(v) = -6*v - 34. Let b(i) = 6*l(i) - 5*u(i). Let j be b(-6). Find the third derivative of 17*w**2 + j*w**4 - 25*w**2 - 23*w**2 wrt w.\nAnswer: 168*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lluufuffluffuulllul. What is prob of picking 2 u and 2 f?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -25. Calculate the remainder when (3 - -10) + (-3 - m) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007603731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16630406 by -39.\nAnswer: 1279262\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15256, -30511, -45766, -61021, -76276?\n\"Answer: -15255*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -467582, -467417, -467252, -467087, -466922, -466757?\nAnswer: -466592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 - (-14 - -42)) + 50?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-8))\/((-12)\/144). Suppose 0 = -b - u*d + 3, -4*b - 5*d + 8 = -2*b. Suppose b*f = 4*f + 530. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -3, 5, 2.\nAnswer: -26, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 372 = 3*z, -9*f - 5*z + 44 = -8*f. Is 46 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(1*(0 + -1)). Let m(t) be the second derivative of 0*t**4 + 1\/10*t**5 + 5*t - 4\/9*t**3 + 1\/45*t**6 + 0*t**2 + l. Factor m(u).\nAnswer: 2*u*(u - 1)*(u + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - z**2 - 77*z - 154. What is m(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -50*t**2 - 9*t + 11128.\nAnswer: -100*t - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -19548.938 from 389.\nAnswer: 19937.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2576 and -0.1.\nAnswer: 257.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 561988809 to the nearest integer?\nAnswer: 23706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.02 + 0.08. Let z = 0.05 + 0.45. Sort 1, z, u in descending order.\nAnswer: 1, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 10*v = 40 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1622170306?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 261, 672, 1273, 2064?\nAnswer: 3045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1\/2, 1\/2, 0.111, -2\/21 in decreasing order.\nAnswer: 1\/2, 0.111, 0, -2\/21, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*n + n = -318, -4*n = -4*o - 448. Let t = -154 - o. Let d = -24 - t. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -497 - -213. Let x = r - -530. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 19 = 4*y. What is the common denominator of y\/(-10) - 1167\/270 and ((-1)\/4)\/((-5)\/59)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397354 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -120010 or -120003?\nAnswer: -120010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 + 22. Let r = g + 28. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - ((-10 - -4) + 18).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -231 - 120?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1411 + 983 = 2*h - 4*f, -5*h = -f - 5940. List the prime factors of h.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 8*f = 10. What is the second derivative of 4*n + 8*n**5 + 12*n**f - 7*n**5 + 8*n wrt n?\nAnswer: 260*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.2289 - 2.9289. What is the third smallest value in -70, -16, -1, f, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 98 or -357?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -31 + 30 + 0 + (-3 - -3) + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d. Let v(s) be the third derivative of -s**2 + 0*s - 1\/8*s**4 + 0 + 0*s**3. What is v(b(n))?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -124*l**2. Let q(w) = -w**2. Give i(q(j)).\nAnswer: -124*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -41.5 and 1156.\nAnswer: 1114.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/488 and -11\/40.\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3 + 14*r - 7*r + 3 - 3*r. Let k(o) = 2*o**2 + 15*o. Give p(k(n)).\nAnswer: 8*n**2 + 60*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 24. Let y be m(0). Suppose -27*o = -45 - 36. Suppose -y = o*l - 81. What is the remainder when l is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 7:02 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/192? (a) 12\/703 (b) 1 (c) -0.2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(60\/9)*-16. Let y = 115 - 75. Suppose 0 = 21*k - 31*k + y. Solve p = k*p + q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3340 at least as big as -3338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 58895 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 197927796 a multiple of 946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2560 - -2582. Calculate the smallest common multiple of 46 and q.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + ((-1*sqrt(84))\/sqrt(12))**2 + -1 + sqrt(7) + sqrt(14)\/sqrt(2).\nAnswer: 2*sqrt(7) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**4\/4 - 2534937*n**3\/2 - 2141922901971*n**2\/4 + 9638961055902*n - 43375786748748 = 0. Calculate n.\nAnswer: -844988, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - (-88)\/(-12))*6. Let l = j - -39. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 6:59 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 168*y**2. Let k(s) = -2*s**2. What is a(k(d))?\nAnswer: 672*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1106*o**3 + 1 + 2219*o**3 - 1106*o**3 - 3*o**4 + 26*o**2 to m*o**2 + d*o**4 + z + y*o**3 + f*o and give m.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 46038 (base 10) in base 11?\nAnswer: 31653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 + 1 + -7 - -1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 506\/9 + 4\/(-18). Suppose -d - 5 = 2*y - 21, -5*d + v = 2*y. Let t = 0 + 4. Calculate the remainder when d is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-3))\/((-2)\/(-9)). Let f be (3 - h\/(-30)) + -3. Is 0 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4\/4 + 3527*a**3 - 7047*a**2 - 84636*a = 0.\nAnswer: -4, 0, 6, 14106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/4 - 12\/(-48)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -628287 or 0?\nAnswer: -628287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6*((-6)\/10)\/((-65043)\/1095)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -25, -1, 1 in descending order.\nAnswer: 3, 1, 0, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*i - 1. Calculate the remainder when 914\/i + (-12)\/(-54) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.2064 rounded to one decimal place?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}